Secant Root-Finding Step
Calculate the next secant-method root estimate using two positions and function values.
MathOpen tool ↗THE FEUTEX TOOLKIT
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Fibonacci Index Values
Calculate Fibonacci and Lucas numbers at a bounded nonnegative integer index.
MathOpen tool ↗Logistic Map Dynamics
Inspect the next state, local derivative and nonzero fixed point of the logistic map.
MathOpen tool ↗Logistic Growth Trajectory
Evaluate a logistic growth model at a chosen time with an explicit carrying capacity.
MathOpen tool ↗Gompertz Growth Trajectory
Evaluate a Gompertz growth curve, its instantaneous growth and its inflection time.
MathOpen tool ↗Spherical Triangle Excess and Area
Calculate spherical excess and surface area from three angles on a chosen sphere.
GeometryOpen tool ↗Spherical Coordinate Position
Convert a spherical position to Cartesian coordinates with explicit polar-angle conventions.
GeometryOpen tool ↗Two-Line Intersection
Find the unique intersection of two planar lines expressed in coefficient form.
GeometryOpen tool ↗Point Rotation about a Center
Rotate a planar point counterclockwise around a chosen center.
GeometryOpen tool ↗Affine Point Transformation
Apply a two-dimensional affine map and inspect its area scale and orientation.
GeometryOpen tool ↗Geometric Waiting-Time Probability
Calculate exact and cumulative waiting probabilities before the first successful trial.
ProbabilityOpen tool ↗Uniform Distribution Interval
Find interval probability, mean and variance for a bounded uniform distribution.
ProbabilityOpen tool ↗Triangular Distribution Profile
Evaluate cumulative probability and moments for a minimum-mode-maximum triangular distribution.
ProbabilityOpen tool ↗Exponential Lifetime Profile
Calculate survival probability, cumulative probability and typical waiting times under constant hazard.
ProbabilityOpen tool ↗Weibull Lifetime Profile
Evaluate Weibull survival, failure probability, instantaneous hazard and median lifetime.
ProbabilityOpen tool ↗Logistic Distribution Profile
Evaluate logistic cumulative probability, density and variance from location and scale.
ProbabilityOpen tool ↗Cauchy Distribution Profile
Evaluate Cauchy cumulative probability, density and interquartile range without undefined moments.
ProbabilityOpen tool ↗Laplace Distribution Profile
Evaluate Laplace cumulative probability, density and variance from location and scale.
ProbabilityOpen tool ↗Pareto Tail Profile
Calculate Pareto exceedance probability and finite moments for a heavy-tailed model.
ProbabilityOpen tool ↗Rayleigh Distribution Profile
Evaluate Rayleigh density, cumulative probability, mean and variance for a nonnegative magnitude.
ProbabilityOpen tool ↗Gumbel Maximum Distribution
Evaluate a Gumbel maximum distribution’s cumulative probability, median and variance.
ProbabilityOpen tool ↗Beta Distribution Moments
Inspect a beta distribution’s mean, variance and skewness on the unit interval.
ProbabilityOpen tool ↗Gamma Distribution Moments
Inspect a gamma distribution’s mean, variance, skewness and excess kurtosis using shape and scale.
ProbabilityOpen tool ↗Poisson Event Window
Estimate the probabilities of no events, one event or multiple events in a constant-rate window.
ProbabilityOpen tool ↗Wilson Proportion Interval
Calculate a Wilson score confidence interval for a proportion from successes and trials.
StatisticsOpen tool ↗Mean Confidence Interval from Summary
Construct a mean confidence interval from summary statistics and a supplied t critical value.
StatisticsOpen tool ↗Mean Precision Sample Size
Estimate the sample count needed for a target mean-estimation precision with known variability.
StatisticsOpen tool ↗Welch Two-Sample Test Statistic
Calculate Welch’s two-sample statistic and approximate degrees of freedom from group summaries.
StatisticsOpen tool ↗Paired Difference Test Statistic
Calculate a paired-sample test statistic from the mean and standard deviation of paired differences.
StatisticsOpen tool ↗Pooled Standardized Mean Difference
Compare group means in pooled-standard-deviation units using two independent sample summaries.
StatisticsOpen tool ↗Merge Two Sample Summaries
Combine two disjoint sample summaries into one count, mean and sample variance.
StatisticsOpen tool ↗Correlation Fisher Interval
Construct an approximate Fisher-transformed confidence interval for a Pearson correlation.
StatisticsOpen tool ↗Two-Group Event Association
Compare two groups using risk ratio, risk difference, odds ratio and log-odds uncertainty.
StatisticsOpen tool ↗2×2 Independence Statistic
Calculate Pearson’s independence statistic and signed association for a two-by-two count table.
StatisticsOpen tool ↗McNemar Paired Discordance
Inspect corrected and uncorrected McNemar statistics from paired discordant outcomes.
StatisticsOpen tool ↗Binary Classification Scorecard
Evaluate precision, recall, specificity, F1 and Matthews correlation from a binary confusion matrix.
StatisticsOpen tool ↗Binary Rater Agreement
Compare observed agreement with chance agreement and calculate Cohen’s kappa for two binary raters.
StatisticsOpen tool ↗Binary Entropy Profile
Calculate uncertainty, perplexity and success information for a Bernoulli probability.
ProbabilityOpen tool ↗Hoeffding Mean Deviation Bound
Bound sample-mean deviations for independent observations with known finite limits.
ProbabilityOpen tool ↗Weight Effective Sample Size
Estimate weight-based effective sample size and efficiency from sums of weights and squared weights.
StatisticsOpen tool ↗Process Capability Indices
Compare a stable process with specification limits using Cp, Cpk and one-sided capability indices.
StatisticsOpen tool ↗Adjusted R-Squared and Residual Scale
Adjust regression R-squared for predictor count and calculate residual scale and degrees of freedom.
StatisticsOpen tool ↗Likelihood Information Criteria
Calculate AIC, small-sample AICc and BIC from a fitted model’s likelihood and parameter count.
StatisticsOpen tool ↗One-Way ANOVA Summary
Build one-way ANOVA statistics and effect size from between-group and within-group sums of squares.
StatisticsOpen tool ↗Two-Proportion Z Statistic
Calculate the pooled large-sample z statistic comparing two independent event proportions.
StatisticsOpen tool ↗Multiple-Testing Error Budget
Allocate a family-wise error budget and adjust one p-value using Bonferroni’s method.
StatisticsOpen tool ↗Sampling Without Replacement
Estimate the mean, variance and feasible success range when sampling without replacement.
ProbabilityOpen tool ↗Trials until Multiple Successes
Estimate trial count and variability required to reach multiple independent successes.
ProbabilityOpen tool ↗No matching tools.