Control & ModelingDiscipline: Differential Calculus & Extrema (MAT1001)
Multivariable Extrema & Hessian Surface Visualizer
Interactive scalar field curvature analyzer computing Hessian matrix determinants (Δ = AC - B²), eigenvalues, and 2D contour/3D wireframe projections to classify local minima, maxima, and saddle points.
Instrument State:Live Analytical DSP Engine
Calibrating DSP Instrument Pipeline...
Technical Instrument Specifications
Governing HessianH = [[A, B], [B, C]] where A=f_xx, B=f_xy, C=f_yy
DiscriminantΔ = AC - B² (det(H))
Extrema CriterionΔ > 0 (Min if A > 0, Max if A < 0), Saddle if Δ < 0
Benchmark SurfacesHyperbolic (Saddle), Elliptic (Bowl), Monkey Saddle
More Control & Modeling Simulators
Explore AllNeural Network Topology Visualizer
Interactive multi-layer perceptron showing forward propagation weights, ReLU activation nodes, and backprop gradient descent.
Open instrument
PID Closed-Loop Controller Simulator
Proportional-Integral-Derivative feedback loop tuning workbench with step response tracking, overshoot, and steady-state error.
Open instrument
API & DSP Latency Benchmark Simulator
Real-time benchmark comparing HTTP/2 vs HTTP/3 QUIC connection establishment, payload serialization, and edge TTFB latency.
Open instrument