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Research monographs, engineering textbooks, computational frameworks, case studies, and design tools developed by Cognitave Inc. and Maxdi Research.
Explore: EDFS & EDA · Finance EDDA · Quantum Engineering · RF/MW Services · Applied Mathematics · Institutional Research
FINANCE EDDA — EVENT-STATE INFERENCE
Mathematical and computational research on financial markets as evolving event-state systems, spanning inference evolution, external information transport, trader-centered dynamics, and reproducible market case studies.
Volumes I–III · Case Studies · Research Papers · Webinars
EXPLORE FINANCE EDDA →
COGNITAVE RF ENGINEERING — CRE-RF
RF and microwave engineering from foundational field, network, and device principles through deformation dynamics, robustness, adaptive control, inference, and computational design workflows.
CRE-RF I · CRE-RF II · Workshops · Webinars
EXPLORE CRE-RF →
QUANTUM ENGINEERING — MAQM
Applied quantum mechanics for electronics and quantum engineering, progressing from operator algebra and Schrödinger dynamics to tunneling, confinement, semiconductor structures, and quantum technologies.
MAQM Course · Full Text · Essential Lectures · Engineering Resources
EXPLORE MAQM →
EDFS — ENGINEERING DESIGN FLOW STUDIO
A graph-native computational engineering environment connecting mathematical models, numerical computation, circuit and EM data, mixed-domain inference, and system-level observables within executable design flows.
EDA Software · Demonstrations · Documentation · Workshops
EXPLORE EDFS →
FEATURED PROFESSIONAL SERVICES · RF / MICROWAVE / mmWAVE
RF/MW Engineering & Technical Consulting
Engineering services led by Dr. Mahdi Haghzadeh
Specialized RF, microwave, mmWave, antenna and radar engineering spanning design, EM simulation, measurement, validation, and computational design-flow development.
Areas of Activity
RF & Microwave Design · front ends · filters · matching · amplifiers · passive networks
Antennas & Arrays · elements · phased/reflectarrays · beamforming · unit cells · coupling
Radar & Sensing · automotive radar · FMCW · 76–81 GHz ADAS · radar signal processing
mmWave Materials & Radomes · dielectric characterization · Dk/Df · fascia/radome validation
Measurement & Validation · S-parameters · VNA · time-domain gating · simulation correlation
EM & EDA Workflows · full-wave modeling · circuit/EM co-design · ECM · computational workflows
Advanced RF Systems · 5G/mmWave · MIMO · satellite/LEO · emerging RF architectures
Featured Service: Automotive Radar Radome Measurement & Validation — 76–81 GHz
VIEW SERVICE · RF/MW ENGINEERING · REQUEST TECHNICAL CONSULTATION
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MODERN APPLIED QUANTUM MECHANICS (MAQM) — ESSENTIAL LECTURES
Expanded Quantum Reality & Engineering Edition
Mahdi Haghzadeh, PhD | Cognitave Inc.
MAQM Essential Lectures is not simply an abridged version of the original Modern Applied Quantum Mechanics textbook. It is an editorial reinterpretation of MAQM’s mathematical core, viewed simultaneously through engineering, quantum foundations, and the philosophy of physical reality.
The original MAQM develops an applied-physics progression from Hilbert spaces, eigenvalue problems, Hermitian operators, and Dirac notation through Schrödinger dynamics, measurement, quantum waves, special potentials, transfer matrices, tunneling, resonant structures, and multidimensional semiconductor confinement. Essential Lectures retains that technical spine but turns the reader’s angle of view: the same mathematics is used to ask what a quantum state means, why measurement context matters, what Bell experiments exclude, how interference and alternative histories differ from classical possibilities, how decoherence changes accessible observations, and how these ideas become physical devices and quantum communications infrastructure.
A distinctive three-tier reading system separates Physical Intuition, MAQM Mathematics, and Foundations & Interpretation. This allows the book to move from an equation to its experimental meaning and then to its philosophical implications without confusing those levels of description.
The expanded edition introduces EPR and Bell/CHSH correlations, contextuality, delayed-choice and quantum-eraser reasoning, Schrödinger’s cat, Wigner’s friend, decoherence, Copenhagen-family interpretations, Everettian relative states, Bohmian mechanics, entanglement, teleportation, QKD, and quantum networking. These editorial expansions are clearly distinguished from the source-derived MAQM material.
The cover establishes another unusual dimension of the edition: art as an interpretive companion to quantum theory, never as scientific evidence. The photograph was taken inside the Calderwood Courtyard of the Harvard Art Museums in Cambridge, Massachusetts. Suspended through the multi-level courtyard is Carlos Amorales’s Triangle Constellation (2015), a commissioned mobile of graduated chrome-plated steel triangles, painted steel, and rope. The Harvard Art Museums describe the work as occupying the five-level courtyard beneath the Renzo Piano Building Workshop glass roof and as creating a visual idea of sound while tying together the museum’s interior spaces.
For MAQM, Triangle Constellation becomes a carefully bounded visual metaphor for relation, balance, multiplicity, projection, nonseparability, and changing viewpoint. The artwork is not presented as a representation of quantum mechanics and no quantum intention is attributed to the artist. Instead, its relational structure provides a visual counterpoint to a book concerned with states, basis projections, interference, entanglement, measurement, and the distinction between constituent properties and global structure.
This produces two parallel trajectories:
Quantum Algebra → Waves → Tunneling → Confinement → Quantum Devices
Quantum State → Measurement → EPR/Bell → Entanglement → Quantum Reality → Quantum Networks
Their intersection is quantum engineering: the point where questions about the mathematical structure of reality become requirements for semiconductor structures, photonic interfaces, control electronics, detectors, communication channels, and complete mixed quantum-classical systems.
MAQM Essential Lectures therefore occupies an uncommon position between textbook, engineering reader, foundations survey, and visual-philosophical essay. It is designed for readers who want more than a popular account of quantum “mysteries,” but who also want to see beyond formal derivation to understand why the mathematics has changed both our conception of physical reality and the technologies engineers can build.
Cover reference:
Harvard Art Museums, Calderwood Courtyard; Carlos Amorales, Triangle Constellation, 2015.
Source article: https://harvardartmuseums.org/article/over-our-heads
Collection record: https://harvardartmuseums.org/collections/object/352128
Finance EDDA: Inference Evolution and Event-State Dynamics presents the current core mathematical architecture of Finance EDDA, an event-driven inference framework developed within the MXD–COGN and EDFS research program.
The publication treats financial markets as evolving mixed-domain systems in which observed price is only one projection of a larger state. Realized fundamentals, consensus expectations, forward guidance, macroeconomic and geopolitical regime, positioning and liquidity, market acceptance, event memory, and scenario probability are represented as distinct but interacting state components.
A central contribution is the separation of fundamental improvement from market-price inference. The framework introduces explicit expectation-divergence and market-acceptance mechanisms so that favorable company results do not mechanically imply favorable price evolution.
The volume develops continuous evolution, discrete event jumps, regime-conditioned scenario updating, mixed-depth state decomposition, memory transport, and the separation between Finance EDDA inference and Trader-Centered Inference decision support.
MRNA, SPCX, and NIO are used as contrasting demonstrations of scientific-event amplification, repeated-event absorption, expectation divergence, and model-calibration error.
This publication is intended as the principal theoretical reference for the Finance EDDA Research Series. Implementation-specific calibration parameters, production algorithms, EDFS backend source code, and proprietary graph construction remain outside the publication.
Finance EDDA Case Study 002 examines SPCX through a sequence of market events in which apparently similar catalysts do not produce equivalent price responses.
Share-unlock events provide a particularly useful experimental setting. A mechanical increase in potentially tradable supply can be identified in advance, yet its market effect depends on existing positioning, prior price evolution, demand, liquidity, event memory, macro regime, and the degree to which the event has already entered expectations.
The study uses this setting to demonstrate a central Finance EDDA proposition:
event labels are not event dynamics.
The same nominal event can enter two different system states and generate substantially different trajectories.
The case also illustrates how external inference fibers can couple geopolitical, energy, inflation, interest-rate, and growth-equity conditions into an otherwise company-specific event sequence.
Financial assets do not evolve solely from information generated by the companies that issue them. Energy shocks, interest rates, geopolitical events, regulation, supply chains, monetary policy, technological change, and institutional behavior can enter an asset’s inference state through indirect and time-dependent pathways.
External Inference Fibers formalizes this problem within Finance EDDA.
The publication introduces external fibers as structured information pathways connecting domains that may initially appear remote from the security being analyzed. Rather than treating macroeconomic or geopolitical variables as generic background factors, the framework considers how information propagates through intermediate states before deforming expectations, discount rates, operating assumptions, positioning, and ultimately market acceptance.
An external event therefore need not map directly to price. Its influence may be delayed, amplified, attenuated, redirected, or rendered irrelevant by the state through which it travels.
The volume develops the conceptual architecture connecting external fibers to the wider MXD–COGN/EDFS inference-flow formulation and illustrates why event attribution requires preserving both domain and depth.
Most quantitative financial models place the decision-maker outside the system being modeled. Trader-Centered Inference Flow (TCI) investigates what changes when the trader is instead represented as an evolving participant embedded within the same information environment.
The trader carries strategy memory, conviction, uncertainty, timing sensitivity, opportunity awareness, operational constraints, and accumulated experience. Market events alter this state, while the trader’s resulting actions alter exposure to subsequent events.
TCI therefore studies the coupled relationship among market state, opportunity state, portfolio state, environment, and human decision state.
The updated formulation makes an important architectural distinction: TCI does not modify the Finance EDDA market posterior merely because a trader holds a strong belief. Finance EDDA first constructs the conditional market-state distribution. Trader state then enters a downstream decision layer in which reachable alternatives can be compared.
This separation is intended to preserve human trading information without turning conviction into a confirmation mechanism.
Finance EDDA Case Study 003 is deliberately presented as a model-error and calibration study rather than a retrospective success narrative.
NIO entered its September 2026 earnings event with evidence of substantial operating improvement. The subsequent financial report contained several favorable fundamental observations, while forward expectations and market response resolved considerably less favorably.
The resulting divergence exposed an important weakness in an earlier Finance EDDA decision formulation: an improving fundamental state had been given too direct a pathway toward an expected positive price state.
The case motivates several changes incorporated into the current Finance EDDA architecture: explicit expectation divergence, separate treatment of realized and forward information, mixed-depth decomposition, regime conditioning, and post-event market acceptance.
NIO therefore serves an important role in the research program—not because the framework correctly forecast every outcome, but because the discrepancy between inference and observation revealed where the framework required correction.
Advanced Engineering Mathematics is a compact digital ebook covering the core mathematical techniques commonly taught in advanced engineering mathematics courses.
The material presents a structured treatment of Fourier series and spectral representation, followed by the Fourier transform and its use in linear time-invariant systems. Laplace transform methods are developed for solving differential equations and analyzing system behavior in the transform domain. Convolution, stability, and system response are introduced as fundamental mathematical operations and properties.
The book also includes a focused introduction to complex analysis, covering analytic functions, residue methods, contour integration, real integrals, and conformal mapping. These topics are developed as mathematical tools that support transform methods and advanced problem solving.
The final sections integrate the material through mixed advanced problems and exam-oriented strategies. Worked examples are fully developed, and problem sets are aligned with the expectations of advanced engineering mathematics coursework and examinations.
This ebook is intended for students and engineers with prior exposure to calculus and linear algebra who are seeking a concise and organized presentation of advanced engineering mathematics techniques.
What This Book Is For
Senior undergraduate and graduate ECE students
Engineers working in signal processing, control, and systems
Candidates preparing for advanced engineering entrance or qualification exams
Researchers seeking a compact but rigorous mathematical reference
Key Features
Unified coverage of Fourier, Laplace, and complex analysis methods
System-level interpretation of mathematical tools
Fully worked examples and exam-style problems with solutions
Consistent notation and typography, enforced by a custom LaTeX class
One-page A4 exam formula sheet for rapid review
MATLAB/Octave code appendix for computational reinforcement
Contents Overview
Fourier Series and Spectral Representation
Fourier Transform and LTI Systems
Laplace Transform and Differential Equation Solving
Convolution, Stability, and System Response
Complex Analysis and Residue Methods
Real Integrals and Conformal Mapping
Mixed Advanced Problems and Exam Strategies
Format
Digital textbook (PDF)
High-resolution mathematical typesetting
Optimized for screen and print
Licensing & Use
This product is licensed for individual academic and professional use.
For institutional licensing or course adoption, please contact Maxdi Research.
About the Author
Mahdi Haghzadeh, PhD, is a researcher and engineer working at the intersection of mathematics, systems theory, and advanced computation. His work spans engineering mathematics, signal analysis, and quantum analog computing.
MXD-COGN: A Theory of Mixed-Domain, Mixed-Depth Cognition is the foundational reference for coherence engineering and deformation-controlled inference in complex systems. This work is not a conventional academic textbook, nor is it a software manual. It is a formal, graph-native theory of how inference executes, deforms, stabilizes, and fails across heterogeneous domains and depths of abstraction.
At its core, MXD-COGN introduces a mathematical language for treating inference as a first-class dynamical object. Systems are modeled as executable graphs governed by order parameters, deformation fields, and coherence constraints rather than isolated equations or static optimization targets. This perspective enables rigorous reasoning about stability, metastability, collapse, and early warning in systems that evolve over time, adapt to stress, and span physical, computational, and organizational layers.
The theory is intentionally domain-agnostic. It applies equally to RF and microwave systems, cyber-physical control architectures, artificial intelligence, socio-technical organizations, and large-scale engineered infrastructures. By unifying these domains under a shared inference geometry, MXD-COGN provides a stable foundation for analyzing systems that cannot be adequately described by classical control, linear stability, or isolated simulation alone.
Cogn-Tex™: A Theoretical Processing Design Kit
MXD-COGN functions as what Maxdi Inc. designates Cogn-Tex™—a theoretical processing design kit for inference and coherence. In the same way that a semiconductor PDK defines design rules, constraints, and interfaces for physical fabrication, Cogn-Tex™ defines the mathematical structures, invariants, and execution semantics required to reason about inference under deformation.
Cogn-Tex™ enables engineers, researchers, and institutions to encode systems into formal inference graphs, evaluate coherence margins, reason about deformation envelopes, and predict failure modes before collapse occurs. While the theory itself is fully specified in this text, its value compounds when paired with internal tools, simulation engines, or large language models capable of operating within the MXD-COGN framework.
This deliberate openness is not a loss of intellectual property; it is the foundation of it. By publishing the canonical theory, Maxdi Inc. establishes the reference standard upon which certified tools, execution engines, and institutional practices can be built.
Scope and Intent
MXD-COGN is written for advanced practitioners: researchers, system architects, and organizations confronting the limits of traditional modeling and control. It is not designed as an introductory survey or a tutorial series. Instead, it provides a closed, internally consistent theoretical framework intended to be cited, extended, and operationalized through companion platforms and certified implementations.
The book concludes at the level of theory. Questions of execution platforms, software engines, certification workflows, and deployment practices are intentionally treated as out-of-scope here and are addressed through separate products and services offered by Maxdi Inc.
In publishing MXD-COGN, Maxdi Inc. releases the mathematical foundation of coherence engineering while retaining the ability to deliver value through execution, certification, and institutional enablement. This text is the reference point from which all MXD-COGN-compliant systems derive legitimacy.
Pricing and Access
MXD-COGN is offered under an institutional access model, reflecting its role as a foundational theory and processing design kit (Cogn-Tex™) rather than a conventional retail textbook.
Institutional License (Primary Offering)
Institutions—including universities, research laboratories, defense organizations, and corporate R&D groups—may license MXD-COGN for internal research, teaching, and architectural development.
Institutional Access Fee:
USD $2,500 per year
Includes:
Full digital access to MXD-COGN: A Theory of Mixed-Domain, Mixed-Depth Cognition
Internal institutional use for research and instruction
Eligibility for MXD-COGN–aligned tooling, certification, and execution platforms
This model ensures that MXD-COGN remains a stable, authoritative reference while enabling institutions to build compliant systems and curricula on top of the theory.
Individual Researchers and Enterprise Access
Individual researchers, independent scholars, and commercial enterprises seeking direct access or broader usage rights should contact Maxdi Inc. to discuss appropriate licensing and enablement options.
📧 Contact: tex@cognitave.com
Enterprise engagements may include:
Extended usage rights
Integration with execution engines and design tools
Certification pathways and technical onboarding
Pricing for these engagements is determined based on scope, scale, and intended application.
MAQM — Modern Applied Quantum Mechanics is best understood but as an engineering distillation of quantum mechanics from operator algebra toward semiconductor-scale device analysis. Its distinguishing feature is the sequence it establishes: abstract Hilbert-space mathematics is introduced first, translated into matrix, wave-function, and Dirac representations, and then progressively converted into calculational machinery for confinement, tunneling, periodic structures, resonant transport, quantum wells, and ultimately three-dimensional semiconductor quantum structures. The uploaded volume contains seven substantive chapters, despite the cover identifying the edition as “Part I, Chapters 1 to 6.”
The editorial logic of the book can therefore be summarized as:
quantum algebra → operators and states → Schrödinger dynamics → quantum waves → canonical potentials → transfer matrices and tunneling → multidimensional confinement → semiconductor quantum structures.
That progression is particularly relevant to electrical and microelectronics engineering because it does not leave quantum mechanics at the level of philosophical postulates. It develops the mathematical objects that eventually become the working variables of nanoscale device models.
Chapter 1 — Hilbert Space and Algebra of Operators
The opening lecture establishes the mathematical language on which everything else depends. Eigenvalue problems are developed in matrix space, function space, and Bra–Ket space, making explicit the equivalence between Heisenberg matrix mechanics, Schrödinger wave mechanics, and Dirac’s abstract formulation. Hermitian matrices and operators, real eigenvalues, eigenvectors, eigenfunctions, orthogonality, normalization, degeneracy, inner products, Kets, Bras, operator action, identity and null operators, and eigenstates are developed systematically.
This is the first important engineering distillation in MAQM. A semiconductor device ultimately presents an eigenproblem: given material properties, geometry, interfaces, boundary conditions and a Hamiltonian, what electronic states and allowed energies can exist? Chapter 1 builds precisely the algebra required to formulate that question. The book explicitly constructs one-to-one correspondences between matrix, function and Ket-space descriptions rather than treating them as unrelated mathematical conventions.
MAQM-m4-KNj3.pdf
Chapter 2 — The Principles of Quantum Mechanics
Having established the algebra, Chapter 2 turns it into dynamics. The lectures cover evolution equations, Poisson commutators, dual relations in bracket space, and identities/unity relations.
MAQM-m4-KNj3.pdf
The importance of this chapter is that operators cease to be static mathematical definitions. Commutation structure determines how observables relate, while evolution equations establish how quantum states change. This creates the bridge from linear algebra to physical dynamics—the prerequisite for understanding how electronic states respond to Hamiltonians, potentials and other governing parameters.
For an engineering reader, Chapters 1 and 2 together form a compact quantum algebra toolkit. They supply the state space, operators, basis transformations, commutators and evolution machinery that later reappear in concrete device calculations.
Chapter 3 — Schrödinger Equation
Chapter 3 brings the preceding algebra into the central governing equation of nonrelativistic quantum mechanics. The chapter develops the Schrödinger equation in Bra–Ket space and then treats quantum measurement, uncertainty relations, time-independent solutions, time-dependent solutions, and energy eigenstates.
An especially useful feature is the comparison among abstract bracket-space, spatial-function and momentum representations of the Hamiltonian. The manuscript emphasizes that these mathematical representations look different while describing the same physical quantum system.
This is the point at which MAQM becomes directly recognizable as a device-physics foundation. In microelectronics, the Schrödinger equation becomes the computational engine from which one obtains confined states, subband energies and wavefunctions. Geometry and materials enter through the potential and effective Hamiltonian; device behavior emerges through their eigenstates.
Chapter 4 — Quantum Wave
The fourth lecture gives physical and mathematical content to the wavefunction. It treats the free particle, wave envelope/wave packet, and probability density, followed by a substantial problem set.
This chapter is more consequential for engineering than the simple title “Quantum Wave” suggests. Wave packets introduce dispersion and localization; probability density converts an abstract state into a spatially interpretable electronic distribution; and the exercises extend the discussion toward probability flux, refraction and reflection of matter waves, energy expectation and energy-state density.
Those concepts later become recognizable semiconductor quantities: carrier confinement, probability current, reflection/transmission at interfaces, dispersion relations and density of states.
Chapter 5 — Special Problems
Chapter 5 moves decisively from foundations into solvable physical models. It studies even-symmetry potentials, the Pöschl–Teller potential, Dirac potential, hydrogen molecular ion, harmonic oscillator and periodic problems. The harmonic oscillator is deliberately examined in Bra–Ket, momentum and function-space representations and extended to three dimensions.
Editorially, this chapter serves as the book’s laboratory. Instead of introducing new formalism for its own sake, it demonstrates how the formalism behaves under representative potential landscapes. Symmetry reduces complexity; exact potentials teach boundary behavior; the oscillator establishes quantized spectra and ladder-like energy structure; and periodicity anticipates crystalline solids.
For semiconductor engineering, this chapter develops the intuition needed to recognize that different physical structures are fundamentally different potential-energy landscapes posed to the same quantum machinery.
Chapter 6 — General One-Dimensional Problems
Chapter 6 is arguably the strongest bridge between MAQM’s quantum algebra and practical nano/microelectronic analysis. It develops analytical approximations, Wilson–Bohr–Sommerfeld quantization, optimized solutions, transfer matrices, transitions through boundaries, wave reflection and transmission, consecutive interfaces, tunneling, symmetric square wells, resonant tunneling, Dirac transfer matrices, periodic potentials, finite periodicity, the Dirac crystal and the differential transfer matrix.
This is recognizably an engineering toolkit. A heterostructure can be represented as a sequence of regions possessing different potentials and material parameters. Instead of solving the entire structure from scratch, interfaces and propagation regions can be represented by matrices and cascaded. Transmission and reflection then become calculable properties of the assembled structure.
That machinery leads naturally to quantum wells, barriers, superlattices and resonant-tunneling structures. Tunneling is therefore not presented merely as the familiar paradox of a particle crossing a classically forbidden barrier; it becomes a quantitatively exploitable transport mechanism. Periodic potentials then extend the same reasoning toward crystal and artificial-lattice structures.
Chapter 7 — Multidimensional Problems
The final chapter expands the one-dimensional machinery into realistic confinement geometries. It introduces the variational method, separable potentials, potential boxes, axial symmetry, angular momentum, cylindrical quantum points/dots, radial symmetry, rotational momentum, spherical oscillators, boundary conditions, the three-dimensional harmonic oscillator, the hydrogen atom and radial momentum.
Here the semiconductor-device destination of the preceding mathematics becomes explicit. In the section on the cylindrical quantum structure, the text considers electrons and holes confined in three dimensions. It describes a narrow semiconductor cylinder such as GaAs, laterally confined by the surrounding potential and vertically bounded by a larger-bandgap semiconductor such as AlGaAs, producing a zero-dimensional quantum dot.
This is an important culmination of the book. Hilbert spaces and eigenvectors introduced in Chapter 1 have now become confined carrier states inside an engineered semiconductor geometry. Eigenvalues have become allowable device energies. Boundary conditions have become semiconductor interfaces. Probability functions describe where carriers reside. Transfer matrices describe propagation through layered structures. Tunneling becomes a transport mechanism. Symmetry determines solvability and degeneracy. Three-dimensional confinement produces quantum dots.
The central accomplishment of Modern Applied Quantum Mechanics is therefore its compression of the conceptual distance between quantum algebra and electronic-device physics.
Rather than organizing quantum mechanics as a sequence of historical discoveries, MAQM organizes much of the subject as a chain of mathematical abstractions that become progressively more operational:
Hilbert space supplies the state space.
Operator algebra supplies measurable quantities.
Eigenproblems supply allowable states and values.
The Hamiltonian encodes the physical system.
The Schrödinger equation supplies its dynamics.
Wavefunctions supply spatial representation.
Probability density and flux supply physical interpretation.
Boundary conditions encode fabricated structures and interfaces.
Transfer matrices make multilayer structures computationally tractable.
Tunneling and resonance introduce nanoscale transport.
Periodic potentials lead toward crystalline and engineered periodic media.
Multidimensional confinement leads finally to quantum wells and quantum-dot-type semiconductor structures.
That is what is distilled in these lectures: the algebra of quantum mechanics is progressively converted into an engineering language for designing and analyzing matter at electronic and semiconductor dimensions.
Modernapplied quantum-mechanics bridge between mathematical operator theory and micro/nanoelectronic device physics. Its value lies in showing why the abstract mathematics matters: the Ket eventually represents an electronic state; the operator becomes a physical observable; the eigenvalue becomes an allowed energy; the potential becomes a device structure; and the boundary-value problem becomes the mathematical representation of an engineered semiconductor.
That gives MAQM a much clearer identity within the Cognitave engineering curriculum: quantum algebra distilled into calculational methods for electronic states, waves, barriers, tunneling, periodic structures and semiconductor confinement.
Modern Applied QM (MAQM) mathematics and numerical tools presented in this technical Cognitave ee-store publication are applied in consumer electronics, telecommunications and aerospace industries to solve design and engineering problems in telecommunications or for environmental threats mitigation and counter measures.
Access related on-demand EE course at:
Quantum Theory Fundamentals presents a modern, coherence-engineering interpretation of quantum mechanics grounded in the MXD-COGN mixed-domain inference framework. Rather than treating quantum theory as a collection of abstract postulates, this eBook develops it as a structured inference system governed by coherence, deformation, and control constraints.
The book introduces foundational quantum concepts through the lens of MXD-COGN, unifying state evolution, measurement, interference, and reversibility within a single inference-theoretic geometry. It emphasizes operational meaning, mathematical clarity, and predictive structure, making it suitable for researchers, advanced students, and engineers working at the intersection of quantum information, control theory, and complex systems.
This volume is part of the Maxdi Research eBook series and reflects independent theoretical research conducted by Maxdi Inc.
Recent quantum information experiments demonstrate universal protocols capable of reversing, pausing, or accelerating the evolution of isolated quantum systems. These results are frequently described as ``quantum time reversal.'' In this paper, we present a rigorous reinterpretation using the MXD--COGN mixed-domain, mixed-depth coherence engineering framework. We show that quantum rewinding corresponds to restoration of inference-loop closure under deformation rather than reversal of physical time. We introduce a global coherence order parameter $\Phi$, provide an operational estimator $\widehat{\Phi}$ from experimentally accessible observables, and derive falsifiable predictions regarding metastability, critical collapse, and scaling limits. We complement the theory with illustrative simulations of $\Phi(\lambda)$ showing metastable basins and cliff-like transitions near a critical threshold $\Phi_c$. The framework provides audit-ready metrics for quantum time-control experiments and suggests practical diagnostics for quantum technologies.
mmWave dielectric characterization, fascia validation, and radar performance analysis
Overview
Modern automotive radar performance depends not only on the sensor, but also on the electromagnetic transparency of the bumper, fascia, emblem, or painted radome region in front of it. At 76–81 GHz, small variations in material composition, thickness, curvature, and multilayer paint stacks can introduce attenuation, phase distortion, and performance variability.
Cognitave Inc provides specialized automotive radar radome measurement and validation services for OEMs, Tier-1 suppliers, materials companies, and engineering teams working on ADAS and autonomous sensing platforms. Our offering combines W-band free-space measurement, dielectric extraction, multilayer modeling, and radar performance interpretation.
What This Service Covers
1. Dielectric Characterization
We measure and extract:
Dielectric constant (Dk)
Loss tangent (Df)
Frequency-dependent behavior across 76–81 GHz
Multilayer paint + substrate stack effects
2. Free-Space mmWave Measurement
We support:
W-band horn-based transmission / reflection measurements
VNA + frequency-extension architectures
Time-domain gating and interface isolation
Curvature-aware fascia and radome measurements
3. Radome Performance Analysis
We analyze:
Insertion loss
Phase distortion
Thickness and paint sensitivity
Radar KPI impact, including SNR and detection margin
4. Modeling and Correlation
We provide:
Electromagnetic simulation correlation
Multilayer dielectric models
Parametric performance studies
Engineering interpretation of measured RF behavior
5. Reporting
Deliverables can include:
Measured S-parameter data
Dk / Df extraction tables
Multilayer stack models
Technical summary report
Executive-level engineering recommendations
Service Options
A. Measurement-as-a-ServicE
For teams that want sample testing without building internal infrastructure.
Includes:
Customer ships fascia sections, coupons, or painted samples
Measurement + dielectric extraction
Technical reporting and interpretation
Best for: material screening, rapid validation, design iteration
B. Full Validation Campaign
For development or production-oriented test programs.
Includes:
Multi-sample characterization
Statistical variation analysis
Paint / thickness sensitivity review
Structured engineering report
Best for: launch support, supplier comparison, process validation
C. Custom Measurement System Development
For OEMs or Tier-1 labs seeking internal capability.
Includes:
W-band measurement bench architecture
Equipment selection support
Calibration methodology
Automation / scripting framework
Training and documentation
Best for: internal validation labs, recurring radar material programs
Typical Deliverables
S-parameter measurement set
Extracted Dk / Df values
Multilayer dielectric model
Summary of attenuation / phase effects
Sensitivity observations
PDF technical report
Typical Customers
Automotive OEMs
Tier-1 radar suppliers
Paint and polymer materials companies
Radar integration teams
Independent validation groups
Indicative Pricing
Coupon dielectric extraction: $3,000 – $5,000
Fascia radome characterization: $5,000 – $10,000
Paint stack validation: $4,000 – $8,000
100-sample validation campaign: $50,000 – $90,000
Custom bench development: $60,000 – $120,000
Final pricing depends on sample geometry, reporting depth, turnaround, and scope.
Why Cognitave
Cognitave operates at the intersection of:
RF/mmWave measurement
dielectric and multilayer modeling
workflow automation
radar performance interpretation
This allows us to deliver engineering-grade outcomes, not just raw measurements.
Engagement Format
Available as:
fixed-scope consulting
hourly advisory
campaign-based validation
custom lab development support
Contact
Cognitave Inc
1051 Beacon St STE 101
Brookline, MA 02446
Summary
Specialized consulting and measurement services for 76–81 GHz automotive radar radome validation, including dielectric characterization of bumper/fascia materials, multilayer paint-stack analysis, free-space mmWave measurements, and radar performance interpretation.
Request Consultation —>
Book Technical Review —>
Start Validation Project —> tex@cognitave.com
Inquire About Sample Testing —> tex@cognitave.com
I can also turn this into a Cognitave store HTML page or a one-page sales brochure.
Technology Report - Microelectronics Design Automation w/ License-based & OpenSource CAD
1.99 USD DIGITAL DOWNLOAD TEX-CAD-EDA
a Technology Report presented by Cognitave Inc Department of Electronics
#EDA #MICROELECTRONICS
Mahdi Haghzadeh, PhD
Electronics Department
Cognitave Inc
Keywords: Numerical Computing, Circuit & EM Simulations, RF/MW Integrated Systems
Abstract
This Technological Report presents to microelectronics design engineering professionals in semiconductor and electronics industries latest modern design-workflow tools for simulation, modeling and fabrication.
A complete set of computer-aided micro-electronics design automation (MEDA) tools presented in this technological report that are available open source without paid-for licenses or tokens. The tools are considered industry open-source standards and used across the globe for design, modeling, manufacturing and testing of electronic and computing devices that go into medium to ultra-high complexity systems in consumer electronics, warfare defense and aerospace industries.
Access related on-demand EE course at:
eBooklet - Radar for Advanced Vehicular Systems - RAVS
14.99 USD DIGITAL DOWNLOAD RAVS
a Booklet download entitle above (RAVS) in "*.pdf" format is available to download upon purchase of a token that will be sent to you e-mail inbox.
#RadarSignalProcessing #RSP #RADAR #LIDAR #Automotive #ADAS #OEM #TIER1 #SensorFusion
Mahdi Haghzadeh, PhD
Electronics Department
Cognitave Inc
Keywords: Radar Signal Processing (RSP), FMCW, Tracking, RF/MW Integrated Systems
Abstract
Radar for Advanced Vehicular Systems (RAVS) is a short technical manual on RADAR (Radio Frequency Detection and Ranging) technology used in modern ADAS (Advanced Driver Assistance Systems) and autonomous, driver-less vehicles (cars and drones) under development globally. This manual reviews main Radar sensing techniques and analysis that enable detection and tracking of targets in the front and proximity of a vehicle equipped with this sensor.
An online EE course, Advanced Radar for Autonomous Driving (ARAD), is available for in-depth development of topics and techniques on ADAS, Sensor Fusion, and advanced signal processing algorithms utilizing machine learning and AI.
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Differential Equations in Engineering Fields is a compact, intensive crash-course ebook designed to cover the core ordinary differential equations (ODE) material taught across engineering disciplines, with emphasis on how these equations are actually used in advanced engineering contexts.
This book originated from a series of accelerated courses taught by Mahdi Haghzadeh between 2008 and 2010 to undergraduate engineering students preparing for graduate-level entrance examinations. The objective of those courses was not breadth, but efficiency: to equip students with the essential differential-equation tools required to succeed in advanced engineering topics within a limited timeframe.
As a result, the ebook focuses on the standard ODE curriculum common to electrical engineering, computer engineering, computer science, and related fields, while consistently framing the material in terms of engineering systems and physical interpretation.
The book develops a streamlined progression through first- and higher-order ordinary differential equations, linear systems with constant coefficients, and homogeneous and non-homogeneous formulations. Responses to impulse, step, and exponential inputs are treated as central modeling cases rather than peripheral examples. Laplace-transform-based methods are introduced early and used systematically as the most effective framework for solving initial-value problems and analyzing system response.
What distinguishes this crash course is its engineering orientation. Solutions are not presented as purely mathematical results; they are interpreted in the context of real systems such as resonant circuits, RF and microwave structures, control systems, and simplified models arising in applied quantum mechanics. The focus is on understanding how differential equations encode dynamics, stability, and transient behavior.
Worked examples are developed fully and concisely, reflecting the pace and structure of an intensive course. In addition, a selected set of original Konkoor problems from the 2008 examination cycle is solved in detail, illustrating how standard ODE techniques are tested in advanced engineering assessments.
This ebook is intended as a rapid yet rigorous reference for students and engineers who already possess basic calculus and linear algebra, and who need a focused review of differential equations as they appear in higher-level engineering applications.
Core Topics Covered
The material develops a coherent progression through:
first- and higher-order ordinary differential equations
linear systems with constant coefficients
homogeneous and non-homogeneous equations
impulse, step, and exponential inputs
Laplace-transform-based solution methods
initial-value problems and system response
engineering interpretation of solutions
Worked examples are fully developed, and problem sets are aligned with advanced engineering expectations.
Key Features
System-driven approach to differential equations
Transform methods integrated naturally into solution workflows
Emphasis on physical and engineering interpretation
Fully worked examples and solved problem sets
Consistent notation and mathematical typography
Designed for advanced undergraduate and graduate ECE
Format
Digital textbook (PDF)
High-resolution mathematical typesetting
Optimized for screen reading and printing
Pricing
Digital Edition (PDF):
💲 $11.99 USD
Academic and institutional licensing available upon request.
Intended Audience
Electrical and computer engineering students
Graduate-level engineering candidates
Practicing engineers working with dynamic systems
Researchers seeking a compact, rigorous ODE reference
About the Author
Mahdi Haghzadeh, PhD, is an engineer and researcher at Maxdi Research, working on mathematical systems theory, signal analysis, and advanced computational methods for engineering and physics.
Finance EDDA Case Study 001 examines Moderna (MRNA) as an example of a scientific event entering a financial inference system and producing a discontinuous reassessment of downstream states.
The case follows the relationship between accumulated R&D expectations, unresolved clinical probability, scientific validation, commercialization implications, and subsequent market acceptance.
Rather than interpreting a large equity movement as evidence that a model successfully “predicted the stock,” the study asks a more disciplined question: what information state existed before the event, what uncertainty did the event actually resolve, and how did the market subsequently transform that resolution into price?
The case demonstrates why event magnitude and price magnitude are separate quantities and provides an applied example of the market-acceptance mechanism developed in Finance EDDA.
COVID-19 INSTITUTIONAL DEBRIEFING · VOLUME I
« From Crisis
to Cohesion »
Courtesy of Maxdi Inc. & MGSSSG: Maxdi Global Stability Studies Group. National Resilience, Institutional Strength, and the Lessons of COVID-19
A full MGSSSG institutional monograph examining how a biological emergency propagated through government, law, science, finance, enterprise, cities, and public trust—and how institutional memory can be converted into future strategic capability.
Currency USD · one-time purchase
Volume I digital PDF
Institutional Stability Engine toolkit
MXD-COGN methods primer
Executive White Paper
Companion webinar and training links
Resource updates for 12 months
History becomes useful when it becomes capability.This volume reconstructs COVID-19 as a mixed-domain institutional stress event in which public health, emergency law, scientific innovation, markets, labor, media, commercial districts, and public behavior continuously altered one another.The objective is constructive: preserve the record, identify how resilience was generated or weakened, and translate the experience into stronger decision systems for future crises.
Preparedness, outbreak escalation, emergency governance, shutdown, reopening, law, finance, enterprise survivability, urban transformation, and strategic outlook.
ISE ToolkitThe Institutional Stability Engine architecture, domain-depth matrix, evidence map, stability questions, and reusable case-analysis worksheet.MXD-COGN PrimerMixed-domain, mixed-depth analysis; coherence, deformation, recoverability, boundary proximity, and opportunity fields.Executive White PaperFrom Crisis to Cohesion, introducing the core institutional lessons and the ISE reference architecture.Figures & GuidesSelected figures, chronology references, glossary, citation guidance, and an executive reading path.Training AccessRecorded briefings, ISE walkthroughs, MXD-COGN orientations, and companion webinars released during the access period.REFERENCE ARCHITECTUREInstitutional Stability Engine (ISE)Evidence → interacting domains → stability assessment → strategic capability.ISE integrates evidence across scientific, legal, governmental, financial, commercial, societal, informational, and international domains.Five recurring questionsWhat occurred, and what is the evidence status?Which institutions shaped the trajectory?How did signals, constraints, and incentives propagate?Where did resilience or recoverability weaken?What capability should be preserved or redesigned?
AUDIENCEFor serious institutional readersPolicymakers and administratorsLegal and governance professionalsInstitutional investors and analystsEntrepreneurs and enterprise operatorsResearchers and educators
Research-use notice
This product provides historical, institutional, legal, economic, and methodological analysis. It is not medical, legal, or investment advice and does not state an official governmental position.
License
Single-user professional digital license. Redistribution, public posting, resale, automated corpus ingestion, or organization-wide circulation requires written authorization.
Venezuela 2026 is a paid institutional research report published by the Maxdi Global Strategic Stability Studies Group (MGSSSG). The report applies the MXD-COGN coherence-engineering framework, integrated with a formal game-theoretic overlay, to analyze Venezuela’s instability environment following leadership discontinuity and intensified external intervention dynamics.
Rather than offering narrative forecasts or policy prescriptions, the assessment models Venezuela as a high-sensitivity (high-κ) system, where outcomes are governed by interactions across elite coordination, coercive execution, oil-based macroeconomic throughput, legitimacy formation, and external policy coupling. The report identifies structural instability basins, interface brittleness, and equilibrium families that define Venezuela’s near- and medium-term trajectories.
Core analytical focus areas include oil sector control and revenue governance, sanctions and licensing dynamics, elite–security coordination risk, opposition signaling constraints, civilian welfare implications, and regional spillover pathways. Scenario engineering is conducted as a function of interface sensitivity and belief dynamics, not leadership symbolism or event-driven speculation.
This report is intended for institutional analysts, policy professionals, investors, and research organizations requiring disciplined, non-prescriptive structural analysis under conditions of contested information and political volatility.
Format: Institutional PDF
Length: ~50 pages
Classification: Restricted institutional analysis (non-prescriptive)
Greenland occupies a uniquely sensitive position in the global strategic system: rich in critical resources, central to Arctic security architecture, yet operating under constrained sovereignty and delegated defense arrangements. Unlike crisis-driven cases, Greenland’s challenge is not instability, but how stability is preserved—or eroded—under accelerating external interest.
This institutional report applies the MXD-COGN (Mixed-Domain, Mixed-Depth Coherence Engineering) framework to model Greenland as a proto-sovereign system, where long-term outcomes are governed by interface dynamics among legitimacy, elite coordination, economic throughput, and external bargaining power.
Rather than forecasting disruption, the report identifies equilibrium families that define Greenland’s plausible strategic futures, ranging from managed strategic dependency to structured sovereignty rebalancing. It evaluates how resource extraction, infrastructure bottlenecks, climate governance, and Arctic security norms interact to shape autonomy trajectories over the coming decade.
Key features include:
Greenland-specific MXD-COGN domain modeling
External bargaining and sovereignty-constraint analysis
Resource extraction and infrastructure throughput assessment
Full scenario engineering framework (4 scenarios)
Arctic system comparative positioning
Strategic indicators dashboard for ongoing monitoring
This report is designed for institutional investors, policymakers, defense and energy analysts, and strategic plannersseeking disciplined, non-speculative analysis of Arctic stability and long-horizon geopolitical risk.
Energy System Stress, Interface Activation, and Escalation Dynamics
Institutional Edition – MXD-COGN Framework
The Middle East War of 2026 introduces multi-axis stress into the global energy system under conditions of limited spare capacity, elevated sovereign leverage, and asymmetric defense cost structures.
This institutional debriefing analyzes the conflict not as a sequence of military events, but as a deformation process across coupled domains: energy throughput, market pricing, governance cohesion, defense economics, and alliance capital alignment.
The report applies the MXD-COGN framework to evaluate how localized kinetic actions propagate into systemic risk through interface activation.
Analytical Scope
The report develops a structured assessment across five interacting domains:
Energy flow constraints (Hormuz throughput, refinery exposure, export terminals, bypass capacity)
Elasticity amplification and convex price response regimes
Credit spread sensitivity under concurrent oil and governance stress
Defense cost-exchange asymmetry under saturation conditions
War powers and legislative constraint dynamics in U.S. governance
Gulf alliance confidence and capital allocation sensitivity
Rather than forecasting outcomes, the analysis identifies structural thresholds and transition conditions under which escalation shifts from volatility to systemic repricing.
Methodological Basis
The institutional edition includes:
Interface-based cost surface modeling
Elasticity calibration using historical analogs
Monte Carlo stress simulations under multi-theater scenarios
Defense expenditure gradient analysis
Governance–market coupling assessment
Stability conditions and phase transition proofs
Audit-ready observables and trigger matrices
All conclusions are derived from publicly available information and formal structural modeling.
Central Question
The relevant analytical question is not whether escalation occurs.
It is whether energy disruption, fiscal exposure, governance contestation, and cost-exchange imbalance activate simultaneously.
Concurrent interface activation increases discontinuity probability.
Intended Audience
This report is designed for:
Institutional investors and macro strategy desks
Energy market participants
Sovereign risk and credit analysts
Defense and national security professionals
Legislative and policy researchers
Format
Institutional PDF report
Approx. 50–60 pages
Mathematical appendix and stability analysis included
Disclaimer
This document is an analytical research product. It does not constitute investment advice, legal advice, or policy advocacy.
This Institutional Master Package is a comprehensive, non-prescriptive analytical dossier examining the January 2026 crisis in the Islamic Republic of Iran through the Mixed-Domain, Mixed-Depth Coherence Engineering (MXD-COGN) framework.
The package integrates internal dynamics (protests, coercion, information control, elite cohesion, economic throughput) with external pressures (sanctions, tariffs, diplomatic isolation, and regional signaling) to assess systemic stability, brittleness, and escalation risk over short- and medium-term horizons.
Unlike conventional policy briefs or forecasting reports, this work does not advocate actions or outcomes. It provides a formal structural diagnosis of regime behavior under stress, identifying regime basins of attraction, interface-level failure points, and conditions under which discontinuity becomes plausible.
Version v1.1 incorporates a major expansion with the addition of Part IV, substantially deepening the historical–structural dimension of the analysis.
What’s Included
Part I — Core Institutional Assessment
A full MXD-COGN coherence analysis of Iran’s January 2026 crisis, including:
Protest dynamics under near-total information blackout
Coercive capacity and execution coherence
Economic throughput stress and bazaar-level indicators
Elite cohesion and patronage stability
External pressure and tariff-driven uncertainty
3–6–12 month trajectory projections
Formal brittleness (κ) metrics and regime basin classification
Part II — Game-Theoretic Addendum (v1.1)
A formal strategic layer complementing MXD-COGN, modeling:
Deterrence–retaliation dynamics (U.S., Israel, Iran, regional actors)
Elite–security coordination games under existential stress
Signaling, belief formation, and commitment rigidity
Escalation equilibria and de-escalation feasibility
Part III — Best-Case Diplomatic Off-Ramp Annex
A harm-minimization–oriented analytical annex outlining:
Verification-based de-escalation sequencing
Conditional, reversible sanctions relief architecture
Amnesty and safe-exit logic to prevent fight-or-fracture equilibria
Institutional pathways for domestic political legitimacy
(Analytical, non-operational, non-prescriptive)
Part IV — Sanctions, Geography, Ideology, and Coherence Decay in Iran
(New in v1.1)
A standalone, long-form historical–structural assessment analyzing why sanctions and isolation have devastated civilian welfare without producing regime collapse. This section integrates:
Four decades of sanctions and boycotts as iterated external deformations
Civilian deprivation and food insecurity as emergent systemic outcomes
IRGC economic capture under scarcity and sanctions evasion
Ideological framing of deprivation (“resistance economy”) and its long-term costs
Geography, invasion memory, and siege psychology as structural constraints
Water scarcity, drought, and groundwater depletion as latent instability accelerators
The Zibakalam thesis on internal causality and institutional failure
Part IV situates Iran’s crisis within a coherence-decay regime, where elite and coercive stability is preserved at the expense of societal welfare and adaptive capacity.
Methodological Distinction
The MXD-COGN framework treats geopolitical crises as emergent properties of interacting subsystems, rather than linear cause-effect chains. This allows the analysis to:
Remain robust under censorship and limited observability
Avoid street-size or sentiment-only forecasting
Focus on interface-level brittleness where small perturbations can produce regime shifts
Distinguish apparent stability from structural fragility
Who This Is For
Government and diplomatic analysts
Think tanks and multilateral institutions
Academic researchers (political economy, sanctions, security studies)
Journalists covering Iran and regional escalation risk
Risk analysts and strategic planners
Important Notice
This document is an analytical research artifact.
It does not:
Advocate political positions
Recommend intervention or policy
Provide operational or tactical guidance
Redistribution is restricted. Interpretation should preserve the document’s analytical and non-prescriptive intent
CHERNOBYL: Institutional Failure, Coherence Collapse, and Strategic Consequences is a comprehensive institutional debriefing applying MXD-COGN coherence analysis to one of the most consequential socio-technical failures of the modern era.
Rather than retelling events, this report examines how and why institutional recoverability was lost across physical, cognitive, procedural, and political layers. Chernobyl is treated not as an isolated technical accident, but as a coherence collapse in which observability degraded, action sets narrowed, escalation pathways failed, and institutional feedback was suppressed.
Using graph-native inference models, curvature-mapped timelines, and multi-domain failure taxonomies, the report reconstructs how locally rational decisions coexisted with global instability—and why recovery became impossible once critical boundaries were crossed.
What this report delivers
A graph-native MXD-COGN system model of Chernobyl
A timeline mapped to coherence curvature and recoverability windows
A multi-domain failure taxonomy (physical, cognitive, institutional, political)
An institutional lessons matrix with corrective controls
A long-horizon aftermath analysis (containment, remediation, metastability)
An appendix analyzing Chernobyl as a systemic stressor in Soviet state stability (non-monocausal)
Intended audience
Institutional risk and safety analysts
Strategic planners and regulators
Researchers studying systemic failure and resilience
Professionals in nuclear, energy, and high-reliability domains
Scope and limitations
This report is:
Non-prescriptive
Non-operational
Analytical in nature
It is designed for institutional understanding, not technical operation or policy advocacy.
Format: PDF
Length: ~50–60 pages
Methodology: MXD-COGN (Mixed-Domain, Mixed-Depth Coherence Analysis)
Use: Institutional, academic, and analytical
This paper introduces \textbf{Noetic Field Dynamics (NFD)}, a novel theoretical framework that unifies consciousness studies, quantum mechanics, and performance optimization. NFD posits that consciousness operates as a fundamental field (the Noetic Field) from which cognitive excitations emerge as wave-like solutions. The theory integrates three established paradigms: Csikszentmihalyi's flow psychology, Jung's synchronicity principle, and Nelson-Isaacs' quantum resonance model. We demonstrate how NFD explains peak performance phenomena across artistic, musical, and athletic domains through mathematical formalism of coherence optimization. The framework offers testable predictions for enhancing human potential while providing a unified explanation for subjective experiences of flow, synchronicity, and optimal performance. Cross-domain applications are presented with mathematical formulations, empirical predictions, and practical implications for performance enhancement.
Technology Report - Linear ODEs by DTMM for 3D Numerical Modeling in RF/MW Design and Simulation
4.99 USD DIGITAL DOWNLOAD LODE-DTMM
a Technology Report downloadable entitled (LODE-DTMM) in "*.pdf" format is available to download upon purchase of a token that will be sent to your e-mail inbox.
#NumericalProgramming #SignalProcessing #RadarSystems#Electronics #NumericalSimulations #AppliedMathematics
Mahdi Haghzadeh, PhD
Electronics Department
Cognitave Inc
Keywords: Numerical programming, numerical Simulations and Modeling, Integrated Systems, Analysis and Applied Mathematics
Abstract
Linear ODE-DTM special topic presented in Advanced Radar for Autonomous Driving (ARAD) is a technical ee-course in the field of Autonomous Driving and Sensor Fusion of signals and data in-flow from sensing and control modules OEMs deploy in autonomous and semiautonomous systems.
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Technology Report - Third Generation Organic and Cost Effective Solar Cells
4.99 USD DIGITAL DOWNLOAD PV-DSSC
a Technology Report downloadable entitled (DSSC-PV) in "*.pdf" format is available to download upon purchase of a token that will be sent to your e-mail inbox.
#SolarCells #Photovoltaic #Silicon #SolidStatePhysics #Electronics #RenewableEnergy #Electricity #Sustainability
Mahdi Haghzadeh, PhD
Electronics Department
Cognitave Inc
Keywords: Solar Cells, Renewable Energy, Solid State Physics, Thin Film, Organic Electronics, Dye Sensitized Solar Cells, Concentrators, Printed Electronics
Abstract
This technology report was first presented at Electrical School of Engineering at Sharif University of Technology on latest technological advancement made in development and fabrication of third generation solar cells, namely Organic Photovoltaic (PV). First generation is inorganic, single junction silicon based solar cells that reach 14—19 percent conversion efficiency for single- and multi-crystal silicon. The payback is 3.5—7 years. Second generation is based on thin film technology that yields 7—11 percent efficiency. The payback is less than a year due to inexpensive development and fabrication costs. The drawback is use of environmentally hazardous material. Third generation is organic thin film technology that can reach up to 30 percent efficiency for multi-junction cells. In this category Dye Sensitized Solar Cells are gaining popularity with a promise to deliver cost effective solar cells.
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ENGINEERING - COMPUTATION - APPLIED RESEARCH
ENGINEERING - COMPUTATION - APPLIED RESEARCH
Finance EDDA: Inference Evolution and Event-State Dynamics presents the current core mathematical architecture of Finance EDDA, an event-driven inference framework developed within the MXD–COGN and EDFS research program.
The publication treats financial markets as evolving mixed-domain systems in which observed price is only one projection of a larger state. Realized fundamentals, consensus expectations, forward guidance, macroeconomic and geopolitical regime, positioning and liquidity, market acceptance, event memory, and scenario probability are represented as distinct but interacting state components.
A central contribution is the separation of fundamental improvement from market-price inference. The framework introduces explicit expectation-divergence and market-acceptance mechanisms so that favorable company results do not mechanically imply favorable price evolution.
The volume develops continuous evolution, discrete event jumps, regime-conditioned scenario updating, mixed-depth state decomposition, memory transport, and the separation between Finance EDDA inference and Trader-Centered Inference decision support.
MRNA, SPCX, and NIO are used as contrasting demonstrations of scientific-event amplification, repeated-event absorption, expectation divergence, and model-calibration error.
This publication is intended as the principal theoretical reference for the Finance EDDA Research Series. Implementation-specific calibration parameters, production algorithms, EDFS backend source code, and proprietary graph construction remain outside the publication.
Finance EDDA Case Study 002 examines SPCX through a sequence of market events in which apparently similar catalysts do not produce equivalent price responses.
Share-unlock events provide a particularly useful experimental setting. A mechanical increase in potentially tradable supply can be identified in advance, yet its market effect depends on existing positioning, prior price evolution, demand, liquidity, event memory, macro regime, and the degree to which the event has already entered expectations.
The study uses this setting to demonstrate a central Finance EDDA proposition:
event labels are not event dynamics.
The same nominal event can enter two different system states and generate substantially different trajectories.
The case also illustrates how external inference fibers can couple geopolitical, energy, inflation, interest-rate, and growth-equity conditions into an otherwise company-specific event sequence.
Financial assets do not evolve solely from information generated by the companies that issue them. Energy shocks, interest rates, geopolitical events, regulation, supply chains, monetary policy, technological change, and institutional behavior can enter an asset’s inference state through indirect and time-dependent pathways.
External Inference Fibers formalizes this problem within Finance EDDA.
The publication introduces external fibers as structured information pathways connecting domains that may initially appear remote from the security being analyzed. Rather than treating macroeconomic or geopolitical variables as generic background factors, the framework considers how information propagates through intermediate states before deforming expectations, discount rates, operating assumptions, positioning, and ultimately market acceptance.
An external event therefore need not map directly to price. Its influence may be delayed, amplified, attenuated, redirected, or rendered irrelevant by the state through which it travels.
The volume develops the conceptual architecture connecting external fibers to the wider MXD–COGN/EDFS inference-flow formulation and illustrates why event attribution requires preserving both domain and depth.
Most quantitative financial models place the decision-maker outside the system being modeled. Trader-Centered Inference Flow (TCI) investigates what changes when the trader is instead represented as an evolving participant embedded within the same information environment.
The trader carries strategy memory, conviction, uncertainty, timing sensitivity, opportunity awareness, operational constraints, and accumulated experience. Market events alter this state, while the trader’s resulting actions alter exposure to subsequent events.
TCI therefore studies the coupled relationship among market state, opportunity state, portfolio state, environment, and human decision state.
The updated formulation makes an important architectural distinction: TCI does not modify the Finance EDDA market posterior merely because a trader holds a strong belief. Finance EDDA first constructs the conditional market-state distribution. Trader state then enters a downstream decision layer in which reachable alternatives can be compared.
This separation is intended to preserve human trading information without turning conviction into a confirmation mechanism.
MXD-COGN: A Theory of Mixed-Domain, Mixed-Depth Cognition is the foundational reference for coherence engineering and deformation-controlled inference in complex systems. This work is not a conventional academic textbook, nor is it a software manual. It is a formal, graph-native theory of how inference executes, deforms, stabilizes, and fails across heterogeneous domains and depths of abstraction.
At its core, MXD-COGN introduces a mathematical language for treating inference as a first-class dynamical object. Systems are modeled as executable graphs governed by order parameters, deformation fields, and coherence constraints rather than isolated equations or static optimization targets. This perspective enables rigorous reasoning about stability, metastability, collapse, and early warning in systems that evolve over time, adapt to stress, and span physical, computational, and organizational layers.
The theory is intentionally domain-agnostic. It applies equally to RF and microwave systems, cyber-physical control architectures, artificial intelligence, socio-technical organizations, and large-scale engineered infrastructures. By unifying these domains under a shared inference geometry, MXD-COGN provides a stable foundation for analyzing systems that cannot be adequately described by classical control, linear stability, or isolated simulation alone.
Cogn-Tex™: A Theoretical Processing Design Kit
MXD-COGN functions as what Maxdi Inc. designates Cogn-Tex™—a theoretical processing design kit for inference and coherence. In the same way that a semiconductor PDK defines design rules, constraints, and interfaces for physical fabrication, Cogn-Tex™ defines the mathematical structures, invariants, and execution semantics required to reason about inference under deformation.
Cogn-Tex™ enables engineers, researchers, and institutions to encode systems into formal inference graphs, evaluate coherence margins, reason about deformation envelopes, and predict failure modes before collapse occurs. While the theory itself is fully specified in this text, its value compounds when paired with internal tools, simulation engines, or large language models capable of operating within the MXD-COGN framework.
This deliberate openness is not a loss of intellectual property; it is the foundation of it. By publishing the canonical theory, Maxdi Inc. establishes the reference standard upon which certified tools, execution engines, and institutional practices can be built.
Scope and Intent
MXD-COGN is written for advanced practitioners: researchers, system architects, and organizations confronting the limits of traditional modeling and control. It is not designed as an introductory survey or a tutorial series. Instead, it provides a closed, internally consistent theoretical framework intended to be cited, extended, and operationalized through companion platforms and certified implementations.
The book concludes at the level of theory. Questions of execution platforms, software engines, certification workflows, and deployment practices are intentionally treated as out-of-scope here and are addressed through separate products and services offered by Maxdi Inc.
In publishing MXD-COGN, Maxdi Inc. releases the mathematical foundation of coherence engineering while retaining the ability to deliver value through execution, certification, and institutional enablement. This text is the reference point from which all MXD-COGN-compliant systems derive legitimacy.
Pricing and Access
MXD-COGN is offered under an institutional access model, reflecting its role as a foundational theory and processing design kit (Cogn-Tex™) rather than a conventional retail textbook.
Institutional License (Primary Offering)
Institutions—including universities, research laboratories, defense organizations, and corporate R&D groups—may license MXD-COGN for internal research, teaching, and architectural development.
Institutional Access Fee:
USD $2,500 per year
Includes:
Full digital access to MXD-COGN: A Theory of Mixed-Domain, Mixed-Depth Cognition
Internal institutional use for research and instruction
Eligibility for MXD-COGN–aligned tooling, certification, and execution platforms
This model ensures that MXD-COGN remains a stable, authoritative reference while enabling institutions to build compliant systems and curricula on top of the theory.
Individual Researchers and Enterprise Access
Individual researchers, independent scholars, and commercial enterprises seeking direct access or broader usage rights should contact Maxdi Inc. to discuss appropriate licensing and enablement options.
📧 Contact: tex@cognitave.com
Enterprise engagements may include:
Extended usage rights
Integration with execution engines and design tools
Certification pathways and technical onboarding
Pricing for these engagements is determined based on scope, scale, and intended application.
MAQM — Modern Applied Quantum Mechanics is best understood but as an engineering distillation of quantum mechanics from operator algebra toward semiconductor-scale device analysis. Its distinguishing feature is the sequence it establishes: abstract Hilbert-space mathematics is introduced first, translated into matrix, wave-function, and Dirac representations, and then progressively converted into calculational machinery for confinement, tunneling, periodic structures, resonant transport, quantum wells, and ultimately three-dimensional semiconductor quantum structures. The uploaded volume contains seven substantive chapters, despite the cover identifying the edition as “Part I, Chapters 1 to 6.”
The editorial logic of the book can therefore be summarized as:
quantum algebra → operators and states → Schrödinger dynamics → quantum waves → canonical potentials → transfer matrices and tunneling → multidimensional confinement → semiconductor quantum structures.
That progression is particularly relevant to electrical and microelectronics engineering because it does not leave quantum mechanics at the level of philosophical postulates. It develops the mathematical objects that eventually become the working variables of nanoscale device models.
Chapter 1 — Hilbert Space and Algebra of Operators
The opening lecture establishes the mathematical language on which everything else depends. Eigenvalue problems are developed in matrix space, function space, and Bra–Ket space, making explicit the equivalence between Heisenberg matrix mechanics, Schrödinger wave mechanics, and Dirac’s abstract formulation. Hermitian matrices and operators, real eigenvalues, eigenvectors, eigenfunctions, orthogonality, normalization, degeneracy, inner products, Kets, Bras, operator action, identity and null operators, and eigenstates are developed systematically.
This is the first important engineering distillation in MAQM. A semiconductor device ultimately presents an eigenproblem: given material properties, geometry, interfaces, boundary conditions and a Hamiltonian, what electronic states and allowed energies can exist? Chapter 1 builds precisely the algebra required to formulate that question. The book explicitly constructs one-to-one correspondences between matrix, function and Ket-space descriptions rather than treating them as unrelated mathematical conventions.
MAQM-m4-KNj3.pdf
Chapter 2 — The Principles of Quantum Mechanics
Having established the algebra, Chapter 2 turns it into dynamics. The lectures cover evolution equations, Poisson commutators, dual relations in bracket space, and identities/unity relations.
MAQM-m4-KNj3.pdf
The importance of this chapter is that operators cease to be static mathematical definitions. Commutation structure determines how observables relate, while evolution equations establish how quantum states change. This creates the bridge from linear algebra to physical dynamics—the prerequisite for understanding how electronic states respond to Hamiltonians, potentials and other governing parameters.
For an engineering reader, Chapters 1 and 2 together form a compact quantum algebra toolkit. They supply the state space, operators, basis transformations, commutators and evolution machinery that later reappear in concrete device calculations.
Chapter 3 — Schrödinger Equation
Chapter 3 brings the preceding algebra into the central governing equation of nonrelativistic quantum mechanics. The chapter develops the Schrödinger equation in Bra–Ket space and then treats quantum measurement, uncertainty relations, time-independent solutions, time-dependent solutions, and energy eigenstates.
An especially useful feature is the comparison among abstract bracket-space, spatial-function and momentum representations of the Hamiltonian. The manuscript emphasizes that these mathematical representations look different while describing the same physical quantum system.
This is the point at which MAQM becomes directly recognizable as a device-physics foundation. In microelectronics, the Schrödinger equation becomes the computational engine from which one obtains confined states, subband energies and wavefunctions. Geometry and materials enter through the potential and effective Hamiltonian; device behavior emerges through their eigenstates.
Chapter 4 — Quantum Wave
The fourth lecture gives physical and mathematical content to the wavefunction. It treats the free particle, wave envelope/wave packet, and probability density, followed by a substantial problem set.
This chapter is more consequential for engineering than the simple title “Quantum Wave” suggests. Wave packets introduce dispersion and localization; probability density converts an abstract state into a spatially interpretable electronic distribution; and the exercises extend the discussion toward probability flux, refraction and reflection of matter waves, energy expectation and energy-state density.
Those concepts later become recognizable semiconductor quantities: carrier confinement, probability current, reflection/transmission at interfaces, dispersion relations and density of states.
Chapter 5 — Special Problems
Chapter 5 moves decisively from foundations into solvable physical models. It studies even-symmetry potentials, the Pöschl–Teller potential, Dirac potential, hydrogen molecular ion, harmonic oscillator and periodic problems. The harmonic oscillator is deliberately examined in Bra–Ket, momentum and function-space representations and extended to three dimensions.
Editorially, this chapter serves as the book’s laboratory. Instead of introducing new formalism for its own sake, it demonstrates how the formalism behaves under representative potential landscapes. Symmetry reduces complexity; exact potentials teach boundary behavior; the oscillator establishes quantized spectra and ladder-like energy structure; and periodicity anticipates crystalline solids.
For semiconductor engineering, this chapter develops the intuition needed to recognize that different physical structures are fundamentally different potential-energy landscapes posed to the same quantum machinery.
Chapter 6 — General One-Dimensional Problems
Chapter 6 is arguably the strongest bridge between MAQM’s quantum algebra and practical nano/microelectronic analysis. It develops analytical approximations, Wilson–Bohr–Sommerfeld quantization, optimized solutions, transfer matrices, transitions through boundaries, wave reflection and transmission, consecutive interfaces, tunneling, symmetric square wells, resonant tunneling, Dirac transfer matrices, periodic potentials, finite periodicity, the Dirac crystal and the differential transfer matrix.
This is recognizably an engineering toolkit. A heterostructure can be represented as a sequence of regions possessing different potentials and material parameters. Instead of solving the entire structure from scratch, interfaces and propagation regions can be represented by matrices and cascaded. Transmission and reflection then become calculable properties of the assembled structure.
That machinery leads naturally to quantum wells, barriers, superlattices and resonant-tunneling structures. Tunneling is therefore not presented merely as the familiar paradox of a particle crossing a classically forbidden barrier; it becomes a quantitatively exploitable transport mechanism. Periodic potentials then extend the same reasoning toward crystal and artificial-lattice structures.
Chapter 7 — Multidimensional Problems
The final chapter expands the one-dimensional machinery into realistic confinement geometries. It introduces the variational method, separable potentials, potential boxes, axial symmetry, angular momentum, cylindrical quantum points/dots, radial symmetry, rotational momentum, spherical oscillators, boundary conditions, the three-dimensional harmonic oscillator, the hydrogen atom and radial momentum.
Here the semiconductor-device destination of the preceding mathematics becomes explicit. In the section on the cylindrical quantum structure, the text considers electrons and holes confined in three dimensions. It describes a narrow semiconductor cylinder such as GaAs, laterally confined by the surrounding potential and vertically bounded by a larger-bandgap semiconductor such as AlGaAs, producing a zero-dimensional quantum dot.
This is an important culmination of the book. Hilbert spaces and eigenvectors introduced in Chapter 1 have now become confined carrier states inside an engineered semiconductor geometry. Eigenvalues have become allowable device energies. Boundary conditions have become semiconductor interfaces. Probability functions describe where carriers reside. Transfer matrices describe propagation through layered structures. Tunneling becomes a transport mechanism. Symmetry determines solvability and degeneracy. Three-dimensional confinement produces quantum dots.
The central accomplishment of Modern Applied Quantum Mechanics is therefore its compression of the conceptual distance between quantum algebra and electronic-device physics.
Rather than organizing quantum mechanics as a sequence of historical discoveries, MAQM organizes much of the subject as a chain of mathematical abstractions that become progressively more operational:
Hilbert space supplies the state space.
Operator algebra supplies measurable quantities.
Eigenproblems supply allowable states and values.
The Hamiltonian encodes the physical system.
The Schrödinger equation supplies its dynamics.
Wavefunctions supply spatial representation.
Probability density and flux supply physical interpretation.
Boundary conditions encode fabricated structures and interfaces.
Transfer matrices make multilayer structures computationally tractable.
Tunneling and resonance introduce nanoscale transport.
Periodic potentials lead toward crystalline and engineered periodic media.
Multidimensional confinement leads finally to quantum wells and quantum-dot-type semiconductor structures.
That is what is distilled in these lectures: the algebra of quantum mechanics is progressively converted into an engineering language for designing and analyzing matter at electronic and semiconductor dimensions.
Modernapplied quantum-mechanics bridge between mathematical operator theory and micro/nanoelectronic device physics. Its value lies in showing why the abstract mathematics matters: the Ket eventually represents an electronic state; the operator becomes a physical observable; the eigenvalue becomes an allowed energy; the potential becomes a device structure; and the boundary-value problem becomes the mathematical representation of an engineered semiconductor.
That gives MAQM a much clearer identity within the Cognitave engineering curriculum: quantum algebra distilled into calculational methods for electronic states, waves, barriers, tunneling, periodic structures and semiconductor confinement.
Modern Applied QM (MAQM) mathematics and numerical tools presented in this technical Cognitave ee-store publication are applied in consumer electronics, telecommunications and aerospace industries to solve design and engineering problems in telecommunications or for environmental threats mitigation and counter measures.
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Technology Report - Microelectronics Design Automation w/ License-based & OpenSource CAD
1.99 USD DIGITAL DOWNLOAD TEX-CAD-EDA
a Technology Report presented by Cognitave Inc Department of Electronics
#EDA #MICROELECTRONICS
Mahdi Haghzadeh, PhD
Electronics Department
Cognitave Inc
Keywords: Numerical Computing, Circuit & EM Simulations, RF/MW Integrated Systems
Abstract
This Technological Report presents to microelectronics design engineering professionals in semiconductor and electronics industries latest modern design-workflow tools for simulation, modeling and fabrication.
A complete set of computer-aided micro-electronics design automation (MEDA) tools presented in this technological report that are available open source without paid-for licenses or tokens. The tools are considered industry open-source standards and used across the globe for design, modeling, manufacturing and testing of electronic and computing devices that go into medium to ultra-high complexity systems in consumer electronics, warfare defense and aerospace industries.
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eBooklet - Radar for Advanced Vehicular Systems - RAVS
14.99 USD DIGITAL DOWNLOAD RAVS
a Booklet download entitle above (RAVS) in "*.pdf" format is available to download upon purchase of a token that will be sent to you e-mail inbox.
#RadarSignalProcessing #RSP #RADAR #LIDAR #Automotive #ADAS #OEM #TIER1 #SensorFusion
Mahdi Haghzadeh, PhD
Electronics Department
Cognitave Inc
Keywords: Radar Signal Processing (RSP), FMCW, Tracking, RF/MW Integrated Systems
Abstract
Radar for Advanced Vehicular Systems (RAVS) is a short technical manual on RADAR (Radio Frequency Detection and Ranging) technology used in modern ADAS (Advanced Driver Assistance Systems) and autonomous, driver-less vehicles (cars and drones) under development globally. This manual reviews main Radar sensing techniques and analysis that enable detection and tracking of targets in the front and proximity of a vehicle equipped with this sensor.
An online EE course, Advanced Radar for Autonomous Driving (ARAD), is available for in-depth development of topics and techniques on ADAS, Sensor Fusion, and advanced signal processing algorithms utilizing machine learning and AI.
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Differential Equations in Engineering Fields is a compact, intensive crash-course ebook designed to cover the core ordinary differential equations (ODE) material taught across engineering disciplines, with emphasis on how these equations are actually used in advanced engineering contexts.
This book originated from a series of accelerated courses taught by Mahdi Haghzadeh between 2008 and 2010 to undergraduate engineering students preparing for graduate-level entrance examinations. The objective of those courses was not breadth, but efficiency: to equip students with the essential differential-equation tools required to succeed in advanced engineering topics within a limited timeframe.
As a result, the ebook focuses on the standard ODE curriculum common to electrical engineering, computer engineering, computer science, and related fields, while consistently framing the material in terms of engineering systems and physical interpretation.
The book develops a streamlined progression through first- and higher-order ordinary differential equations, linear systems with constant coefficients, and homogeneous and non-homogeneous formulations. Responses to impulse, step, and exponential inputs are treated as central modeling cases rather than peripheral examples. Laplace-transform-based methods are introduced early and used systematically as the most effective framework for solving initial-value problems and analyzing system response.
What distinguishes this crash course is its engineering orientation. Solutions are not presented as purely mathematical results; they are interpreted in the context of real systems such as resonant circuits, RF and microwave structures, control systems, and simplified models arising in applied quantum mechanics. The focus is on understanding how differential equations encode dynamics, stability, and transient behavior.
Worked examples are developed fully and concisely, reflecting the pace and structure of an intensive course. In addition, a selected set of original Konkoor problems from the 2008 examination cycle is solved in detail, illustrating how standard ODE techniques are tested in advanced engineering assessments.
This ebook is intended as a rapid yet rigorous reference for students and engineers who already possess basic calculus and linear algebra, and who need a focused review of differential equations as they appear in higher-level engineering applications.
Core Topics Covered
The material develops a coherent progression through:
first- and higher-order ordinary differential equations
linear systems with constant coefficients
homogeneous and non-homogeneous equations
impulse, step, and exponential inputs
Laplace-transform-based solution methods
initial-value problems and system response
engineering interpretation of solutions
Worked examples are fully developed, and problem sets are aligned with advanced engineering expectations.
Key Features
System-driven approach to differential equations
Transform methods integrated naturally into solution workflows
Emphasis on physical and engineering interpretation
Fully worked examples and solved problem sets
Consistent notation and mathematical typography
Designed for advanced undergraduate and graduate ECE
Format
Digital textbook (PDF)
High-resolution mathematical typesetting
Optimized for screen reading and printing
Pricing
Digital Edition (PDF):
💲 $11.99 USD
Academic and institutional licensing available upon request.
Intended Audience
Electrical and computer engineering students
Graduate-level engineering candidates
Practicing engineers working with dynamic systems
Researchers seeking a compact, rigorous ODE reference
About the Author
Mahdi Haghzadeh, PhD, is an engineer and researcher at Maxdi Research, working on mathematical systems theory, signal analysis, and advanced computational methods for engineering and physics.
This paper introduces \textbf{Noetic Field Dynamics (NFD)}, a novel theoretical framework that unifies consciousness studies, quantum mechanics, and performance optimization. NFD posits that consciousness operates as a fundamental field (the Noetic Field) from which cognitive excitations emerge as wave-like solutions. The theory integrates three established paradigms: Csikszentmihalyi's flow psychology, Jung's synchronicity principle, and Nelson-Isaacs' quantum resonance model. We demonstrate how NFD explains peak performance phenomena across artistic, musical, and athletic domains through mathematical formalism of coherence optimization. The framework offers testable predictions for enhancing human potential while providing a unified explanation for subjective experiences of flow, synchronicity, and optimal performance. Cross-domain applications are presented with mathematical formulations, empirical predictions, and practical implications for performance enhancement.
Technology Report - Linear ODEs by DTMM for 3D Numerical Modeling in RF/MW Design and Simulation
4.99 USD DIGITAL DOWNLOAD LODE-DTMM
a Technology Report downloadable entitled (LODE-DTMM) in "*.pdf" format is available to download upon purchase of a token that will be sent to your e-mail inbox.
#NumericalProgramming #SignalProcessing #RadarSystems#Electronics #NumericalSimulations #AppliedMathematics
Mahdi Haghzadeh, PhD
Electronics Department
Cognitave Inc
Keywords: Numerical programming, numerical Simulations and Modeling, Integrated Systems, Analysis and Applied Mathematics
Abstract
Linear ODE-DTM special topic presented in Advanced Radar for Autonomous Driving (ARAD) is a technical ee-course in the field of Autonomous Driving and Sensor Fusion of signals and data in-flow from sensing and control modules OEMs deploy in autonomous and semiautonomous systems.
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Technology Report - Third Generation Organic and Cost Effective Solar Cells
4.99 USD DIGITAL DOWNLOAD PV-DSSC
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#SolarCells #Photovoltaic #Silicon #SolidStatePhysics #Electronics #RenewableEnergy #Electricity #Sustainability
Mahdi Haghzadeh, PhD
Electronics Department
Cognitave Inc
Keywords: Solar Cells, Renewable Energy, Solid State Physics, Thin Film, Organic Electronics, Dye Sensitized Solar Cells, Concentrators, Printed Electronics
Abstract
This technology report was first presented at Electrical School of Engineering at Sharif University of Technology on latest technological advancement made in development and fabrication of third generation solar cells, namely Organic Photovoltaic (PV). First generation is inorganic, single junction silicon based solar cells that reach 14—19 percent conversion efficiency for single- and multi-crystal silicon. The payback is 3.5—7 years. Second generation is based on thin film technology that yields 7—11 percent efficiency. The payback is less than a year due to inexpensive development and fabrication costs. The drawback is use of environmentally hazardous material. Third generation is organic thin film technology that can reach up to 30 percent efficiency for multi-junction cells. In this category Dye Sensitized Solar Cells are gaining popularity with a promise to deliver cost effective solar cells.
MODERN APPLIED QUANTUM MECHANICS (MAQM) — ESSENTIAL LECTURES
Expanded Quantum Reality & Engineering Edition
Mahdi Haghzadeh, PhD | Cognitave Inc.
MAQM Essential Lectures is not simply an abridged version of the original Modern Applied Quantum Mechanics textbook. It is an editorial reinterpretation of MAQM’s mathematical core, viewed simultaneously through engineering, quantum foundations, and the philosophy of physical reality.
The original MAQM develops an applied-physics progression from Hilbert spaces, eigenvalue problems, Hermitian operators, and Dirac notation through Schrödinger dynamics, measurement, quantum waves, special potentials, transfer matrices, tunneling, resonant structures, and multidimensional semiconductor confinement. Essential Lectures retains that technical spine but turns the reader’s angle of view: the same mathematics is used to ask what a quantum state means, why measurement context matters, what Bell experiments exclude, how interference and alternative histories differ from classical possibilities, how decoherence changes accessible observations, and how these ideas become physical devices and quantum communications infrastructure.
A distinctive three-tier reading system separates Physical Intuition, MAQM Mathematics, and Foundations & Interpretation. This allows the book to move from an equation to its experimental meaning and then to its philosophical implications without confusing those levels of description.
The expanded edition introduces EPR and Bell/CHSH correlations, contextuality, delayed-choice and quantum-eraser reasoning, Schrödinger’s cat, Wigner’s friend, decoherence, Copenhagen-family interpretations, Everettian relative states, Bohmian mechanics, entanglement, teleportation, QKD, and quantum networking. These editorial expansions are clearly distinguished from the source-derived MAQM material.
The cover establishes another unusual dimension of the edition: art as an interpretive companion to quantum theory, never as scientific evidence. The photograph was taken inside the Calderwood Courtyard of the Harvard Art Museums in Cambridge, Massachusetts. Suspended through the multi-level courtyard is Carlos Amorales’s Triangle Constellation (2015), a commissioned mobile of graduated chrome-plated steel triangles, painted steel, and rope. The Harvard Art Museums describe the work as occupying the five-level courtyard beneath the Renzo Piano Building Workshop glass roof and as creating a visual idea of sound while tying together the museum’s interior spaces.
For MAQM, Triangle Constellation becomes a carefully bounded visual metaphor for relation, balance, multiplicity, projection, nonseparability, and changing viewpoint. The artwork is not presented as a representation of quantum mechanics and no quantum intention is attributed to the artist. Instead, its relational structure provides a visual counterpoint to a book concerned with states, basis projections, interference, entanglement, measurement, and the distinction between constituent properties and global structure.
This produces two parallel trajectories:
Quantum Algebra → Waves → Tunneling → Confinement → Quantum Devices
Quantum State → Measurement → EPR/Bell → Entanglement → Quantum Reality → Quantum Networks
Their intersection is quantum engineering: the point where questions about the mathematical structure of reality become requirements for semiconductor structures, photonic interfaces, control electronics, detectors, communication channels, and complete mixed quantum-classical systems.
MAQM Essential Lectures therefore occupies an uncommon position between textbook, engineering reader, foundations survey, and visual-philosophical essay. It is designed for readers who want more than a popular account of quantum “mysteries,” but who also want to see beyond formal derivation to understand why the mathematics has changed both our conception of physical reality and the technologies engineers can build.
Cover reference:
Harvard Art Museums, Calderwood Courtyard; Carlos Amorales, Triangle Constellation, 2015.
Source article: https://harvardartmuseums.org/article/over-our-heads
Collection record: https://harvardartmuseums.org/collections/object/352128