Dew.Math.Core 6.3.8

Dew.Stats.Core is the cross-platform and managed-only edition of the Dew.Stats statistical computing library. It provides an extensive suite of tools for probability distributions, hypothesis testing, regression, multivariate analysis, time-series modeling, and experimental design. Built on top of Dew.Math.Core, it operates without native binary dependencies, making it suitable for Windows, Linux, macOS, mobile environments, plugins, sandboxed systems, and WebAssembly deployment. Probability Distributions and Random Models: - PDF, CDF, and inverse CDF for 36+ standard continuous and discrete distributions - Random number generators with parameter estimation and sampling workflows Descriptive and Exploratory Statistics: - Moments, quantiles, percentiles, ranks, scaling, normalization, cumulative transforms - Histograms, ogives, and distribution diagnostics Hypothesis Testing and Statistical Inference: - Parametric tests: t-test, Z-test, F-test, Chi-Squared, Bartlett, Hotelling T² - Non-parametric tests: Wilcoxon, Sign, Mann-Whitney, Anderson–Darling, Shapiro–Wilk, KS - Confidence intervals, residual analysis, goodness-of-fit evaluation Regression and Model Fitting: - Linear and multiple linear regression (weighted / unweighted) - Logistic, Poisson, Ridge regression, nonlinear regression (BFGS / CG / Marquardt / Simplex) - ANOVA and ANCOVA, principal component regression Multivariate and Structure Analysis: - PCA (covariance/correlation), PCA residuals, item analysis, rotational transforms - Classical Multidimensional Scaling and dimensionality significance tests Time Series Analysis and Forecasting: - ACF and PACF, moving-average and smoothing methods - ARMA/ARIMA/ARAR models with coefficient estimation via Yule–Walker, Burg, Innovations, and MLE - Box-Ljung significance tests and forecasting diagnostics Ready-to-Use High-Level Components: - TMtxANOVA, TMtxMulLinReg, TMtxNonLinReg, TMtxPCA, TMtxHypothesisTest, TMtxBinaryTest, TMtxMDScaling Integration Notes: - Uses Dew.Math.Core (managed vector/matrix computation, no native runtime dependency) - No visualization layer is included in the Core edition Dew.Stats.Core is ideal for portable analytics workflows, scripting, services, and embedded scientific computing.

Dew.Signal.Core is the cross-platform, managed-only edition of the Dew.Signal DSP library. It provides a comprehensive suite of digital signal processing algorithms and components without requiring native binary acceleration. This maximizes compatibility across platforms including Windows, Linux, macOS, mobile, embedded, and WebAssembly environments. Filter Design and Processing: - IIR filters: Butterworth, Chebyshev I/II, Elliptic, Bessel; analog and discrete design workflows - Frequency transformations in Z- and S-domains, bilinear and matched-Z transforms, pole/zero and state-space forms, group delay analysis, stability filters - FIR filter design: window methods, Remez exchange algorithm, Hilbert transformers, differentiators, integrators, Savitzky–Golay filtering, fast envelope detectors - Multi-rate filtering: half-band multistage FIR designs, zoom-spectrum, decimation, interpolation Nonlinear Processing: - Sample-and-hold, sample-and-decay, and median filtering Spectral Analysis and Estimation: - FFT-based spectral analysis framework - Parametric estimators: Yule–Walker, Burg, Covariance, Modified Covariance - CZT, real and complex cepstrum and inverse cepstrum - Bispectrum, bicoherence, coherence and transfer function estimation - Peak detection, peak interpolation and tracking, phase unwrapping - Advanced spectral statistics: noise floor, SFDR, THD, THDN, SINAD, RMS, SNR Time-Domain Modeling and System Representation: - Conversion between state-space, zero-pole, numerator–denominator transfer models - System zero/pole determination and stability analysis Signal Synthesis, Streaming, and Measurement: - Signal generators using stack-based vectorized function evaluation - Support for multiple noise models: white, pink, brownian, blue, violet - Components for continuous streaming, recording, playback, triggering and monitoring - Scalable FIR and IIR convolution, auto-correlation, cross-correlation, DCT/IDCT Forecasting and Time-Series Modeling: - Spectral forecasting based on user-defined peak selection for interpretable predictive modeling Platform and Integration Notes: - Uses Dew.Math.Core as its numerical foundation (managed vector/matrix computing) - Visualization is optionally provided through Dew.Signal.Tee (Windows-only), not included here - Compatible with cross-platform UI frameworks (MAUI, Uno, Avalonia), compute services, and WASM Dew.Signal.Core is ideal when portability, sandbox safety, or plugin isolation is required.

Dew.Lab.Studio.Core bundles the portable, managed-only editions of the Dew libraries for maximum cross-platform reach. It includes Dew.Math.Core (numerical computing), Dew.Signal.Core (DSP and spectral analysis), and Dew.Stats.Core (probability, statistics, modeling), all without native runtime dependencies. What it provides: - Numerical computing: vectors/matrices, linear algebra (QR/LU/SVD/eigen), complex arithmetic, interpolation and splines, polynomial tools, special functions, numerical integration/differentiation - Signal processing: FIR/IIR filters, FFT/spectral analysis, resampling, windowing, convolution/ correlation, time/frequency-domain transforms, streaming-friendly primitives - Statistics and modeling: probability distributions and generators, descriptive statistics, hypothesis tests, regression/curve fitting, optimization (Levenberg–Marquardt, BFGS, CG, simplex, trust-region) Portability model: - Pure managed (no native binaries) for libraries, plugins, mobile, WASM, and constrained hosts - Targets netstandard2.0, net8.0, and net9.0 to cover legacy and modern .NET runtimes Choose Dew.Lab.Studio.Core when you need unified math + DSP + stats in a single package with the widest platform compatibility and zero native deployment.