Interactive explainers.

AdvantageKit Logging and Simulation Separation

Separate hardware access from control logic so one robot program can run with real, simulated, or replayed inputs.

FRCAdvantageKitLogging

TransitData visualizationRutgers

AprilTag Vision for Robot Pose Estimation

Use known field landmarks to produce time-stamped, uncertainty-aware pose measurements that complement wheel odometry and a gyro.

FRCAprilTagPhotonVision

API engineering

Async API Clients with Rate Limits and Backoff

Reliable API clients treat failure as a flow-control signal, not just an exception to retry immediately.

APIsBackoffRate limits

Transit analytics

Campus Bus Load Curves by Time of Day

Transit demand becomes legible only after irregular vehicle observations are validated, deduplicated, aligned, and aggregated with their coverage visible.

Product algorithms

Conflict-Free Schedule Generation

Course scheduling is a constraint problem disguised as a registration chore.

SchedulingConstraintsScarlet Sync

LykkeKnowledge baseCanvas

Course Materials to Queryable Knowledge Base

A course knowledge base turns files, assignments, and notes into searchable objects with source context.

Robotics planning

Dual-Arm Scheduling with CP-SAT

A dual-arm robot needs more than an action list; it needs a schedule that respects resources, precedence, and collision risk.

CP-SATSchedulingTAMP

Robotics planning

Dual-Arm Task and Motion Planning Pipeline

TAMP connects symbolic task choices to geometric motion checks so a robot plan is both logical and physically executable.

TAMPRoboticsPlanning

Math

Elementary Symmetric Functions

Elementary symmetric functions collect every square-free product of a fixed degree into one permutation-invariant polynomial.

Symmetric functionsCombinatoricsq-binomial

Evidence-Backed Think Envelopes

A think envelope turns an agent answer into a reviewable object with citations, gaps, conflicts, and next actions.

EvidenceAgentsCitations

FRCSwerveCoordinate Frames

Field-Relative vs Robot-Relative Driving

The same joystick vector means different motion depending on the coordinate frame in which it is interpreted.

Economics

FRED and BLS API Time-Series Plotting

Economic plotting is a data-contract problem before it is a charting problem: identity, frequency, units, adjustment, missingness, and revision status determine the claim.

FREDBLSEconomics

Game engineering

Godot VehicleBody3D Racing Physics

A racing game feels right when engine force, steering, friction, suspension, and track design reinforce each other.

GodotVehicleBody3DRacing

Algorithms

Heuristics: Manhattan vs Euclidean Distance

A heuristic is a guess about remaining cost; the right guess depends on how movement is allowed.

A*HeuristicsGeometry

Computational biology

Hi-C Contact Maps and TAD Triangles

A Hi-C map turns an ensemble of ligation events into a binned view of how often genomic regions were near one another.

Hi-CTADsGenomics

AI agents

LangGraph Multi-Agent Study Backend

A multi-agent backend is a graph of roles, tools, state, and handoffs, not just a pile of prompts.

LangGraphAgentsOrchestration

Robotics planning

Learned Feasibility Prediction for Robot Plans

A feasibility predictor estimates which symbolic actions are likely to survive expensive motion checks.

TAMPLearningFeasibility

Lookup Tables vs Equations for Shooter Tuning

When robot physics is messy, a measured lookup table can beat a beautiful but incomplete equation.

FRCShooterLookup table

MarkdownKnowledge graphFrontmatter

Markdown Frontmatter Knowledge Graphs

Markdown becomes a lightweight knowledge graph when notes carry typed metadata and relationships with enforceable meaning.

SLMsOptimizationQuantization

MCP Tools for Agent Workflows

MCP standardizes how AI hosts connect to servers that expose tools, resources, and prompts; the host still owns workflow policy and safety.

MCPToolsAgents

AI research

Model Size, Speed, and Accuracy Trade-Offs

Small-model engineering chooses a Pareto point across task quality, latency, throughput, memory, and operational constraints.

Computational biology

Multi-Scale TAD Boundary Detection

A boundary call is stronger when its insulation pattern persists across justified window sizes, resolutions, and replicates.

Hi-CTADsBoundary detection

Data agents

Natural Language to Reproducible Pandas Code

A data agent becomes reviewable when a plain-language request leaves behind executable code, explicit assumptions, output data, and validation evidence.

PandasData cleaningAgents

AI agentsMemoryEmbeddings

PathPlanner Autonomous Routes

Autonomous routing combines preplanned paths, event markers, robot constraints, and live pathfinding.

PathPlannerFRCAutonomous

AI agents

Persistent Semantic Memory for AI Assistants

Semantic memory lets an assistant retrieve relevant past context instead of treating every conversation as isolated.

Controls

PID Control for Robot Mechanisms

PID control pushes a mechanism toward a setpoint by reacting to present, accumulated, and changing error.

PIDControlsFRC

Math

q-Integers and the Meaning of q-Analogues

A q-analogue recovers a classical object while using powers of q to record additional structure.

q-analoguesCombinatoricsGenerating functions

RAGEmbeddingsHybrid search

RAG Pipeline for Student Documents

Retrieval-augmented generation turns messy course files into ranked evidence before an AI tutor answers.

Data systems

Real-Time Transit Data Collection Loops

A polling loop turns a changing vehicle feed into an auditable historical time series.

TransitAPIsPolling

Research infrastructure

Repo as System of Record for Research

A research repository can preserve the plans, source definitions, assumptions, transformations, artifacts, and verification records needed to reconstruct a result.

RAILResearchGit

Computer vision

Semi-Global Block Matching

SGBM estimates stereo disparity by combining local matching evidence with smoothness costs accumulated along multiple image paths.

Stereo visionSGBMOpenCV

SLURM Training Jobs on HPC Clusters

An HPC training run combines a resource request, executable batch script, recorded environment, and durable outputs.

SLURMHPCTraining

AI wikisEducationCitations

Source-Grounded AI Wikis

An AI wiki is useful when every explanation remains tied to the material that produced it.

Computer vision

Stereo Vision and Disparity Maps

Calibrated stereo turns horizontal correspondence shifts into metric depth, with uncertainty that grows as disparity shrinks.

Stereo visionDepthOpenCV

EnhancersAlphaGenomeGenomics

Swerve Drive Basics for FRC Robots

A swerve drivetrain independently steers and drives each wheel module so the chassis can translate and rotate at the same time.

FRCSwerveKinematics

Computational biology

Synthetic Enhancer Design Pipeline

Designing an enhancer is a constrained propose–predict–filter–test loop, not a request for the sequence with the largest model score.

Math

The q-Binomial Theorem

The finite q-binomial theorem expands a product whose choices carry position-dependent q-weights.

q-binomialSymmetric functionsCombinatorics