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Space As Experienced: Rendering Urban Interiority Through Research-By-Drawing, Sarah Javed Shah, Giulia Setti Jul 2026

Space As Experienced: Rendering Urban Interiority Through Research-By-Drawing, Sarah Javed Shah, Giulia Setti

Interiority

Architectural discourse has long privileged space as formally constituted—defined through geometry, enclosure, and typological classification—while its experiential and relational dimensions remain insufficiently examined. This article addresses that gap by proposing a methodological claim: the sequential and cumulative use of analytical drawing enables the investigation of spatial experience in ways that formal analysis and phenomenological description alone cannot achieve. Positioned as an epistemic framework, the research employs drawing not as representation but as a structured mode of inquiry. Five analytical lenses—liminality, permeability, intermingling, ephemerality, and complex interiority—are operationalised through a sequence of drawings that isolate and reconstruct the relational conditions through …


Criteria For Determining The Level Of Media Literacy Development Of Students In The Summative Assessment System, Bakhtiyor Kadirov, Dilnoza Kadirova, Rashid Omanov, Anvar Allamurodov, Asqar Kholturayev Jul 2026

Criteria For Determining The Level Of Media Literacy Development Of Students In The Summative Assessment System, Bakhtiyor Kadirov, Dilnoza Kadirova, Rashid Omanov, Anvar Allamurodov, Asqar Kholturayev

Journal of Media Literacy Education Pre-Prints

The integration of digital technologies into education necessitates how students’ media literacy is developed and assessed. High school students require skills in critical thinking, digital content evaluation, and the identification of manipulative information.This study examines the effectiveness of summative assessment in measuring media literacy skills and explores the impact of an artificial intelligence-based digital platform enriched with augmented and virtual reality modules. An empirical design was employed involving 120 students from five schools assigned to control and experimental groups. The experimental group engaged with AI-supported media literacy platform over a ten-week period. Data were collected through pre- , post-tests, summative …


Class Struggle And The Socialist Economic Calculation Debate, Tiago Camarinha Lopes Jul 2026

Class Struggle And The Socialist Economic Calculation Debate, Tiago Camarinha Lopes

Emancipations: A Journal of Critical Social Analysis

The socialist economic calculation debate is often portrayed as a sharp and straightforward conflict between two opposing sides. While this characterization is valid given the ideological clash between defenders of capitalism and proponents of socialism, this paper offers a more nuanced perspective on the interaction between the main schools of economic thought involved in the debate, the Marxist and the Austrian. Drawing on the humanist approach of critical pedagogy developed by Brazilian philosopher Paulo Freire (1921–1997), the paper argues that the debate over socialist economic calculation is not only a clear expression of class struggle within economics. It also involves …


From Models To Modules: Towards A Change Of Approach In Postcapitalist Political Economy, Simon Tremblay-Pepin Jul 2026

From Models To Modules: Towards A Change Of Approach In Postcapitalist Political Economy, Simon Tremblay-Pepin

Emancipations: A Journal of Critical Social Analysis

In this article, I take for granted the existence of a field of social sciences called postcapitalist political economy. This field of research emanates from the critique of capitalism and seeks to establish, in theory and practice, alternative political and economic systems to capitalism. I argue that in its late and post-Soviet period (1988 – 2012), this field has mostly, but not solely, been based on debates between all-encompassing models. Analyzing its contemporary period (2013 to now), I will sustain that we are partly witnessing a transfer from a model-based approach to a modular one. I present six arguments to …


Dynamic Gravity-Deployed Rope Barrier (Dgrb) System For Passive Kinetic Mitigation And Entanglement Of Small Unmanned Aerial Vehicles (Suav), Brenden King Jul 2026

Dynamic Gravity-Deployed Rope Barrier (Dgrb) System For Passive Kinetic Mitigation And Entanglement Of Small Unmanned Aerial Vehicles (Suav), Brenden King

Defensive Publications Series

A passive, multi-layered kinetic countermeasure system is disclosed for mitigating the threat of low-altitude, high-speed first-person view (FPV) kamikaze loitering munitions within confined military environments, including trenches, bunkers, building entryways, and vehicular net tunnels. The Dynamic Gravity-Deployed Rope Barrier (DGRB) system comprises a primary horizontal support line configured to span an opening or structural corridor, from which a plurality of vertically suspended, non-uniform hanging strands depend downward to a lower boundary surface. The vertically suspended strands form a dense, spatial entanglement matrix optimized to strip an intruding aircraft of its freedom of movement through direct, mechanical disruption of rotor blade …


Technical Disclosure Specification: Topological Helical Embedding Constraints For Volumetric Space-Time Emergence Across Twisted Manifolds, Christopher L. Eckes Jul 2026

Technical Disclosure Specification: Topological Helical Embedding Constraints For Volumetric Space-Time Emergence Across Twisted Manifolds, Christopher L. Eckes

Defensive Publications Series

This specification formalizes a non-perturbative geometric mechanism governing the topological transformation of a two-dimensional information substrate into three-dimensional volumetric space-time metrics. Standard holographic frameworks recognize that boundary data can mathematically define a bulk volume, yet they fail to establish a dynamic physical mechanism for the emergence of mass-energy tensors and gravitational curvature without introducing free parameters or unverified dimensional compactifications.

This paper demonstrates that three-dimensional physical matter and spatial depth emerge natively when a parameter-agnostic 2D viscoelastic fluid membrane experiences localized spatial overlapping (The Fold) and asymmetric rotational torque (The Twist). By driving boundary wave configurations through an asymmetric rotational …


Quantum Job Placement And Circuit Partitioning With Network-Aware Error Budget Brokerage, Bharat Kumar Putta Jul 2026

Quantum Job Placement And Circuit Partitioning With Network-Aware Error Budget Brokerage, Bharat Kumar Putta

Defensive Publications Series

Proposed herein is a system including a distributed quantum compiler and controller that can decide where to place quantum circuit fragments by brokering a live error budget across quantum processing unit (QPU) compute operations, quantum memory wait time, remote entanglement, measurement, and classical-control latency. Instead of only minimizing circuit cuts, queue time, or network cost, the system creates an auditable Error Budget Contract and Placement Proof showing why a distributed execution plan is expected to satisfy a job’s end-to-end accuracy target. If QPU calibration, queue depth, or quantum-network fidelity changes, the system can automatically re-evaluate the plan and, where execution …


Technical Commonspec: Multi-Phase Sedimentation And Capillary Infiltration Metrics For Monolithic Material Manufacturing, Christopher L. Eckes Jul 2026

Technical Commonspec: Multi-Phase Sedimentation And Capillary Infiltration Metrics For Monolithic Material Manufacturing, Christopher L. Eckes

Defensive Publications Series

This specification formalizes a multi-track engineering framework to validate and optimize two verified, classical physical processes used in advanced material manufacturing: Dual-Phase Centrifugal Sedimentation and Capillary Infiltration. In standard chemical engineering and metallurgical processing, modeling the structural consolidation of dense particulate suspensions and the subsequent penetration of liquid phases into porous matrices presents significant numerical and physical tracking challenges. If fluid-particle interactions are modeled using uncoupled, single-variable frameworks, localized density spikes and pressure friction variations create manufacturing defects and structural voids.

To deliver an absolute, un-biased verification of these manufacturing dynamics, this paper presents three completely air-gapped, isolated methodologies executed …


Technical Commonspec: Parallel Solutions To The Prandtl Boundary Layer Limit Crisis Via Tri-Vector Architectures, Christopher L. Eckes Jul 2026

Technical Commonspec: Parallel Solutions To The Prandtl Boundary Layer Limit Crisis Via Tri-Vector Architectures, Christopher L. Eckes

Defensive Publications Series

This specification establishes a rigorous, multi-track mathematical framework to resolve the legacy Prandtl Boundary Layer Inviscid Limit Problem (\(Re \to \infty\)). In classical continuum mechanics, the behavior of high-velocity fluid flow past a solid wall with a no-slip boundary condition represents a severe analytical discontinuity. As kinematic viscosity approaches zero (\(\epsilon \to 0\)), classical mathematical models fracture due to the uncontrolled generation of boundary-layer vorticity, creating a mismatch between the viscous Navier-Stokes equations and the inviscid Euler equations.

To achieve absolute verification without analytical bias, this paper presents three completely air-gapped, isolated methodologies executed in separate computational sandboxes:

  1. A Discrete …


Technical Hardware Specification: The Solid-State Acoustofluidic Boundary Demultiplexer (Reality Implementation), Christopher L. Eckes Jul 2026

Technical Hardware Specification: The Solid-State Acoustofluidic Boundary Demultiplexer (Reality Implementation), Christopher L. Eckes

Defensive Publications Series

This specification formalizes an isolated, tri-parallel hardware validation framework for the engineering, execution, and real-world deployment of the Solid-State Acoustofluidic Boundary Demultiplexer. Traditional fluid mechanics and microfluidic transit networks face severe performance degradation at solid-fluid interfaces, where sub-millimeter boundary layer friction and viscous drag spike uncontrollably. These forces generate localized turbulent eddies, signal attenuation, and catastrophic thermal hotspots (Δ T).

To deliver an absolute, un-biased verification of a non-invasive, zero-drag acoustic boundary layer shield, this paper details three completely air-gapped, isolated methodologies executed in separate computational sandboxes:

  1. A Discrete Control Firmware Sandbox implementing a Gallium Nitride (GaN) switching array driven …


Technical Disclosure Specification: Reconciling Global Regularity In Three-Dimensional Navier-Stokes Systems Via Topological Helical Embedding Constraints, Christopher L. Eckes Jul 2026

Technical Disclosure Specification: Reconciling Global Regularity In Three-Dimensional Navier-Stokes Systems Via Topological Helical Embedding Constraints, Christopher L. Eckes

Defensive Publications Series

This specification establishes a rigorous mathematical framework that proves global regularity and the absence of finite-time blowup singularities in the three-dimensional incompressible Navier-Stokes equations on \(\mathbb{R}^{3}\). Traditional approaches in classical fluid mechanics struggle to constrain the non-linear convective acceleration term, leading to unverified energy cascades where velocity gradients can theoretically diverge toward infinity (\(\lim_{t \to t^*} \Vert{}\mathbf{u}(\cdot, t)\Vert{}_{\infty} = \infty\)).

This paper demonstrates that by applying the Universal Sine Field Template (DEHP) as a strict, topologically protected geometric embedding constraint, the 3D velocity field is restricted to an orthogonal, phase-locked helical manifold. This structural configuration causes the non-linear convective acceleration …


Caldwell Roadside Vortex-Disk Fire Suppression Platform (Rvfd-1.0) A Tandem-Deployed, High-Wind Mobile Perimeter Shield And Kinetic Extinguishing Engine Using A Rotating Hollow-Shaft Gyroid-Balanced Fluid Manifold For Autonomous Roadside Wildfire Defense, Michael Victor Caldwell Mr. Jul 2026

Caldwell Roadside Vortex-Disk Fire Suppression Platform (Rvfd-1.0) A Tandem-Deployed, High-Wind Mobile Perimeter Shield And Kinetic Extinguishing Engine Using A Rotating Hollow-Shaft Gyroid-Balanced Fluid Manifold For Autonomous Roadside Wildfire Defense, Michael Victor Caldwell Mr.

Defensive Publications Series

The Caldwell Roadside Vortex-Disk Fire Suppression Platform (RVFD-1.0) is a public-domain, open-hardware engineering architecture designed to replace hazardous manual roadside fire-hose crews during high-wind, zero-visibility wildfire events. Mounted on a heavy-duty rear flatbed trailer towed by a high-capacity 6,000–10,000-gallon water tanker truck, the system utilizes an elevated, folding 12–16-foot rotating vortex-disk applicator (with optional telescoping mast to 30–50 ft). Fed by a high-pressure independent auxiliary pump via a hollow-shaft central rotary swivel, the disk discharges pre-conditioned water through circumferential vortex injector nozzles, optionally enhanced with electrostatic charging rings and/or compressed air injection to form coherent, wind-resistant vortex rings. Operating in …


Energy Accounting For Pfas Treatment: Endpoint Definition, Concentration Dependence, And The Service-Equivalence Constraint, Ernest N. Sumrall Jul 2026

Energy Accounting For Pfas Treatment: Endpoint Definition, Concentration Dependence, And The Service-Equivalence Constraint, Ernest N. Sumrall

Defensive Publications Series

Energy performance in per- and polyfluoroalkyl substance (PFAS) treatment is often reported on a volumetric basis, in kilowatt-hours per cubic metre of water processed. Volumetric energy is necessary for hydraulic design and utility sizing, but it is insufficient by itself for cross-study comparison because it does not reference the quantity of contaminant addressed. This paper develops the mass-normalised complement and, more importantly, establishes the conditions under which either metric may be used comparatively.

Three results are presented. First, a taxonomy separating five distinct endpoints — transfer, removal, degradation, defluorination, and mineralisation — that are not interchangeable, and a corresponding pair …


Technical Disclosure Specification: Spherical Harmonic Field Modulation And Acoustofluidic Propagation Manifolds With Closed-Loop Sub-Wavelength Optical Sensing Feedback (Rev4), Christopher L. Eckes Jul 2026

Technical Disclosure Specification: Spherical Harmonic Field Modulation And Acoustofluidic Propagation Manifolds With Closed-Loop Sub-Wavelength Optical Sensing Feedback (Rev4), Christopher L. Eckes

Defensive Publications Series

This disclosure specifies a complete engineering blueprint for a solid-state, contactless microparticle transport, positioning, and tracking system utilizing an integrated asymmetric acoustic radiation pressure matrix and sub-wavelength photonic sensor array. Traditional microfluidic handling architectures rely on intrusive physical channels, mechanical actuators, or unmonitored acoustic standing waves, which restrict material handling dynamics to preset geometric nodes and introduce severe operational boundary friction.

Operating under a completely integrated hardware-software architecture, this system maps three-dimensional spatial translation onto an ambient fluidic medium or localized dense plasma wake. The physical actuation layer consists of a surface-mounted grid of Gallium Nitride (GaN) piezoelectric transducers operating …


Technical Disclosure Specification: Topological Knot Genesis And Emergent Substrate Hydrodynamics Under The Dehp Framework, Christopher L. Eckes Jul 2026

Technical Disclosure Specification: Topological Knot Genesis And Emergent Substrate Hydrodynamics Under The Dehp Framework, Christopher L. Eckes

Defensive Publications Series

Mainstream physics models the universe bottom-up, treating discrete particles as fundamental entities that aggregate to form fluidic fields. This disclosure explicitly inverts that paradigm. We specify a top-down cosmology where a pre-geometric 2D membrane, governed by a universal sine wave template, serves as the primary substrate.

Physical matter ("particles") is shown to be non-fundamental, emerging instead as stable, self-localized, three-dimensional projective "knots" formed through wave-phase confinement. Macroscopic fluidity is demonstrated to be a secondary byproduct—a mechanical simulation layer created by the collective, viscoelastic interaction of these cohesive knots under the continuous influence of driving wave harmonics. This specification establishes a …


Low-Powered Voice Activity Detection Gating Model, Vyom Garg, Sumedh Tirodkar, Robert Kamara, Michal Matuszak Jul 2026

Low-Powered Voice Activity Detection Gating Model, Vyom Garg, Sumedh Tirodkar, Robert Kamara, Michal Matuszak

Defensive Publications Series

This document describes an automated process to evaluate a low-powered speech detection mechanism, also referred to as a voice activity detection system, audio gating network, hardware filter sentinel, wake-up trigger model, or tiny acoustic classifier, executing within an isolated, low-consumption hardware domain such as an always-on-compute island, low-power processing domain, hardware island, or power-isolated microcontroller unit. Traditional voice assistants or continuous audio recording architectures during routine environmental monitoring, including ambient processing apps and background listening frameworks, frequently cause severe battery exhaustion or power drain on mobile communications devices because the computationally heavier primary speech recognizer should remain active to evaluate …


Technical Disclosure Specification: Subterranean Isolated Piezo-Ferroelectric Cavity Resonator Architecture For Ambient Base-Load Power Transduction (500 Mwe), Christopher L. Eckes Jul 2026

Technical Disclosure Specification: Subterranean Isolated Piezo-Ferroelectric Cavity Resonator Architecture For Ambient Base-Load Power Transduction (500 Mwe), Christopher L. Eckes

Defensive Publications Series

This document discloses the structural design, geometric constraints, material science formulations, and multi-stage attenuation mechanics of a 500 Megawatt Electric (MWe) Subterranean Reservoir Resonator (SRR). The system is engineered to directly substitute for conventional nuclear generation at the source without thermal emission, radioactive waste, or fissile supply chains. The architecture utilizes a non-equilibrium, solid-state ferroelectric relaxor core operating within the gigahertz spectrum, nested inside a multi-axis, quad-chassis structural containment envelope. By shifting from mechanical-thermal-electrical conversion paradigms to high-frequency coherent phase-locked transduction, a continuous, baseline grid feed is established within a highly compact physical footprint.


Technical Disclosure Specification: Module 6 Spherical Harmonic Instruction Set Compilers And Non-Linear Vector Transformation Languages For Distributed Ternary Fluid-Canvas Operating Networks, Christopher L. Eckes Jul 2026

Technical Disclosure Specification: Module 6 Spherical Harmonic Instruction Set Compilers And Non-Linear Vector Transformation Languages For Distributed Ternary Fluid-Canvas Operating Networks, Christopher L. Eckes

Defensive Publications Series

Traditional quantum and classical software compilation tracks remain tethered to linear, flat bit-mapping schemes that force computational logic arrays into rigid binary or standard qubit gating configurations. These legacy compilation chains introduce severe processing bottlenecks when applied to a non-equilibrium, multi-dimensional fluid computing canvas. This disclosure specifies a novel, standalone Spherical Harmonic Instruction Set Compiler designed to interface directly with the physical 3D runtime environment of self-assembled Hexagonal Close-Packed (HCP) inverse opal computing nodes.

Instead of compiling software instructions into linear, sequential machine code, this architecture utilizes 3D global illumination rendering algorithms—adapted from real-time graphics processing units (GPUs)—to translate abstract …


Technical Disclosure Specification: Module 1 Dual-Phase Centrifugal Sedimentation Protocols And Capillary Infiltration Recipes For The Monolithic Manufacturing And Fluidic Lamination Of Multiblock Quantum Metamaterials, Christopher L. Eckes Jul 2026

Technical Disclosure Specification: Module 1 Dual-Phase Centrifugal Sedimentation Protocols And Capillary Infiltration Recipes For The Monolithic Manufacturing And Fluidic Lamination Of Multiblock Quantum Metamaterials, Christopher L. Eckes

Defensive Publications Series

The transition of a room-temperature quantum computing architecture from a collection of mathematical models to a scalable, physical computer requires a repeatable chemical and mechanical manufacturing framework. This disclosure specifies a standalone Dual-Phase Centrifugal Sedimentation Protocol and cleanroom factory recipe. The specification provides the exact parameters needed to deposit, laminar-flow, and permanently seal a fluidic lipid bilayer substrate inside the sub-micron interconnect tracks of a self-assembled Hexagonal Close-Packed (HCP) inverse opal matrix.

Traditional solid-state fabrication techniques cannot form fluidic quantum boundaries; they induce surface roughness, structural voids, and gas trapping that cause premature phase scattering. This module resolves the lamination …


Master System Architecture For Room-Temperature Ternary Quantum Computers - Monolithic Structural Integration Of Solitonic Cores, Inter-Node Entanglement Bridges, And Modular Control Interfaces, Christopher L. Eckes Jul 2026

Master System Architecture For Room-Temperature Ternary Quantum Computers - Monolithic Structural Integration Of Solitonic Cores, Inter-Node Entanglement Bridges, And Modular Control Interfaces, Christopher L. Eckes

Defensive Publications Series

Traditional quantum hardware development remains fragmented by isolated design cycles, where core qubits, routing networks, driver electronics, and control software are engineered in separate silos. This systemic fragmentation introduces massive integration friction, leading to severe signal mismatches, thermal leaks, and immediate wave collapse when components are wired together. This disclosure specifies a comprehensive, multi-layered Master System Architecture that unifies the complete hardware, software, sensing, and manufacturing layers of a non-equilibrium, room-temperature ternary quantum computer into a single monolithic framework.

This master framework integrates and anchors six distinct operational layers: the core qubit blocks (MS #12489), the fluidic inter-node entanglement ribbons …


Non-Local Solitonic Entanglement Bridges: Lipid-Encapsulated Hydrodynamic Waveguide Architectures For Multiblock Quantum Topologies, Christopher L. Eckes Jul 2026

Non-Local Solitonic Entanglement Bridges: Lipid-Encapsulated Hydrodynamic Waveguide Architectures For Multiblock Quantum Topologies, Christopher L. Eckes

Defensive Publications Series

Traditional multi-node quantum computing architectures remain heavily bottlenecked by severe insertion losses, phase velocity dispersion, and environmental decoherence during inter-chip data routing. Standard approaches rely on complex, high-loss optoelectronic conversions to translate quantum states into photons for fiber-optic transmission, leading to high error rates and immediate wave collapse. This paper introduces an alternative, non-local routing architecture that bypasses classical material transit by establishing foundational quantum entanglement directly within a fluidic mechanical medium.

Discrete computing blocks—comprising self-assembled Hexagonal Close-Packed (HCP) inverse opal matrices—are interconnected via flexible anisotropic fused silica ribbons housing micro-etched transmission tracks. To protect traveling mechanical wave functions from …


Non-Equilibrium Phase-Change Quantum Topology: Reversible Solitonic Wave-Field Stabilization Inside Self-Assembled 3d Inverse Opal Lattices, Christopher L. Eckes Jul 2026

Non-Equilibrium Phase-Change Quantum Topology: Reversible Solitonic Wave-Field Stabilization Inside Self-Assembled 3d Inverse Opal Lattices, Christopher L. Eckes

Defensive Publications Series

Current paradigms in quantum computing remain heavily bottlenecked by environmental decoherence, brute-force cryogenic scaling constraints, and the mechanical fragility of localized qubits. This paper introduces an alternative top-down, wave-first hardware architecture that shifts the operational paradigm from brute-force isolation to dynamic phase boundary transport. By utilizing a solid-state, self-assembled Hexagonal Close-Packed (HCP) 3D inverse opal matrix constructed from fused silica (SiO₂), we establish an omnidirectional phononic bandgap that isolates volatile computational wave-fields from external ambient noise.

The internal hollow spherical cavities of this matrix are lined via Atomic Layer Deposition (ALD) with an Interfacial Phase-Change Memory (iPCM) superlattice structure composed …


Reference Pattern Mapping For Metrology Of Augmented Reality And Virtual Reality Devices, Zhenxing Hu, Qianli Ma, Ali Karbasi, Wenchun Hu, Jun Yang Jul 2026

Reference Pattern Mapping For Metrology Of Augmented Reality And Virtual Reality Devices, Zhenxing Hu, Qianli Ma, Ali Karbasi, Wenchun Hu, Jun Yang

Defensive Publications Series

This publication describes a method for improving the reliability of metrology for characterizing an optical system in augmented reality and virtual reality devices. The method uses pattern mapping based on a reference pattern to detect regions of interest. This pattern mapping approach eliminates the need for repetitive, parameter-sensitive image preprocessing to locate an ROI in an image and enables highly consistent optical metrology across different testers and devices (e.g., displays).


Method For Glint Correspondence, Pezhman Firoozfam, Jason Todd Spencer Jul 2026

Method For Glint Correspondence, Pezhman Firoozfam, Jason Todd Spencer

Defensive Publications Series

A system, such as a head-mounted device, may include an eye tracking subsystem configured to determine a user's cornea position by analyzing specular reflections (i.e., glints) from light sources of the system, which are directed at the user’s eye and captured by a camera of the system. This disclosure describes a software-based method to configure the system to accurately match bright specular reflections in an image to the specific light sources that created them. To achieve this, the algorithm calculates candidate cornea center locations based on the image reflections and determines the most probable center from these accumulated candidates. This …


Agentic Ai System For Multimodal Event Analytics And Narrative Generation, Huanhuan Wang, Jun Hui Au, Sherelyn Wan Quan Chan Jul 2026

Agentic Ai System For Multimodal Event Analytics And Narrative Generation, Huanhuan Wang, Jun Hui Au, Sherelyn Wan Quan Chan

Defensive Publications Series

An agentic artificial intelligence system for multimodal event analytics and narrative generation includes a multi-layer computational framework configured to autonomously acquire, transform, integrate, and produce event-related analytics. The system includes an event parameterization interface configured to receive user-defined parameters, a specialized orchestration engine configured to coordinate workflow and trigger parallel data processing streams, and a context formulation layer comprising a semantic data synthesis module, a public data extraction module, and a function calling module. The system includes a knowledge integration layer comprising a domain style and context adaptation module, a conflict resolution module configured to utilize a hierarchical dependency graph …


The Evolution Of Regulatory Architectures Underlying Phenotypic Plasticity, Shweta Agarwal Jul 2026

The Evolution Of Regulatory Architectures Underlying Phenotypic Plasticity, Shweta Agarwal

Biology ETDs

Phenotypic plasticity refers to a mechanism where a single genotype results in distinct phenotypes in response to distinct environments, making it a key mechanism for persistence under environmental change. Phenotypic plasticity can arise from two distinct regulatory architectures: epistatically regulated plasticity or environmentally sensitive loci. The evolutionary forces shaping these architectures remain unclear. I use the recombination modifier framework to explore how the regulatory architecture of plasticity evolves across a range of selection regimes, including the rate of environmental change and the costs and benefits of plasticity. I find that the evolution of the regulatory architecture of phenotypic plasticity requires …


Boundary Integral Method For A Modified Mullins–Sekerka System, Ly Le Jul 2026

Boundary Integral Method For A Modified Mullins–Sekerka System, Ly Le

Mathematics & Statistics ETDs

This thesis develops a boundary integral method for a modified Mullins–Sekerka system arising as the sharp-interface limit of a nonreciprocal Cahn–Hilliard model. Nonreciprocal coupling changes the classical Cahn–Hilliard structure by introducing an additional conserved field, leading to coupled elliptic and parabolic dynamics at the interface. Using matched asymptotic expansions, we formally derive the modified Mullins–Sekerka model and then apply the boundary integral method to rewrite it on the moving interface. The elliptic component is represented using the periodic Green’s function for the Laplace equation, while the parabolic component is represented using the periodic heat kernel. This method reduces the bulk …


Nerve Constructions And Mapper, Alexander Bram Fritschi Jul 2026

Nerve Constructions And Mapper, Alexander Bram Fritschi

Mathematics & Statistics ETDs

Mapper is a data visualization tool commonly used in topological data analysis to study large, often high-dimensional datasets. Mapper operates through the selection of a lens function, a clustering algorithm, and a cover. The Mapper graph is constructed using the nerve of the cover after the clustering algorithm is performed; it is therefore useful to study nerves to better understand Mapper. In this thesis, we will utilize the properties of nerves to find the minimal point set that produces a given graph. We will then extend this to Mapper to determine what Mapper graphs may be constructed over a given …


Interpretable Case-Control Inference Through Log-Linear General Location Models, Zacharia Stuart Jul 2026

Interpretable Case-Control Inference Through Log-Linear General Location Models, Zacharia Stuart

Mathematics & Statistics ETDs

This dissertation analyzes one of the few publicly available NFL injury datasets to study field type and non-contact lower-limb injuries. Field type is studied jointly with other risk factors to understand how these factors interact to affect injury risk. The data were gathered through a case-control sampling scheme, which limits direct inference on absolute injury probabilities. While not the most common approach for case-control data, this dissertation models the retrospective distribution directly through Log-Linear General Location Models (Log-Linear GLOMs). Through a log-linear structure placed on a log-odds-ratio reparameterization, the model provides directly interpretable marginal and interaction contributions to injury log-odds …


The Uncertainty Principles, Lee Michael Felicetti Jul 2026

The Uncertainty Principles, Lee Michael Felicetti

Mathematics & Statistics ETDs

The Heisenberg uncertainty principle is a central aspect of quantum mechanics, but also illustrates an essential quality of the Fourier transform. After Heisenberg, a variety of uncertainty inequalities emerged in the fields of physics and mathematics. In this thesis we will analyze the Heisenberg uncertainty principle in both the setting of quantum mechanics and Fourier analysis. We will then look at how the work of Heisenberg has been expanded upon in both physics and mathematics. Particularity, we will see how uncertainty principles can be applied to signal recovery and explore current research in this field.