Mathematics tools
Core math calculators and plotters
- custom
3D graph plotter (roadmap)
Placeholder for future 3D plotting.
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Age problems (ratio template)
Simple ratio scaffold.
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AI equation solver (roadmap)
Planned equation assistant.
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AI math concept explainer (roadmap)
Planned explanations.
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AI math practice (roadmap)
Planned practice sets.
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AI math question generator (roadmap)
Planned question bank.
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AI math solver (roadmap)
Planned AI-assisted solving.
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AI math study planner (roadmap)
Planned planner.
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AI step-by-step solutions (roadmap)
Planned step generator.
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Algebraic identities (numeric)
Expand (a+b)² or compare a²−b² numerically.
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Angle between lines
Acute angle from slopes m1, m2.
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Angle converter
Degrees ↔ radians.
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Area calculator
Rectangle, triangle, circle, trapezoid, ellipse, sector, …
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Area converter
m², km², acre, ha, …
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Argand plane plotter
Plot z = x + iy.
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Average (mean)
Arithmetic mean of a list.
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Basic calculator
Arithmetic with + − × ÷ ^ and parentheses.
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Bayes theorem calculator
Posterior P(A|B) from P(B|A), P(A), P(B).
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Binary calculator
Integer + − × in base 2.
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Binomial distribution calculator
PMF and CDF for Binomial(n,p).
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Binomial expansion (Pascal row)
Coefficients of (a+b)^n for n ≤ 20.
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Bitwise calculator
& | ^ << >> >>> on integers.
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Boolean algebra (2-variable)
Truth table for expressions in A,B with AND OR NOT XOR.
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Box plot (five-number summary)
min, Q1, median, Q3, max.
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Circle calculator
Circumference, area, diameter from r.
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Combinations (nCr)
Binomial coefficient.
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Complex number calculator
+ − × ÷ and polar data.
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Compound interest calculator
A = P(1+r/n)^{nt}.
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Conditional probability calculator
P(A|B) from P(A∩B) and P(B).
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Cone calculator
Volume and surface area of a right cone.
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Coordinate geometry (line)
Line through two points + mini plot.
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Correlation calculator (Pearson)
r between two lists.
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Curve sketching (quadratic)
Vertex, axis, intercepts, concavity.
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Cylinder calculator
Right circular cylinder.
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Data cleaning (numeric)
Extract finite numbers from messy text.
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Data interpretation (basic)
% change and range for a column.
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Data size converter
B, KB, MB, GB, TB (1024).
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Dataset summary
Count, min, max, mean, median, SD.
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Decimal ↔ binary/octal/hex
Convert decimal integers to or from base 2, 8, or 16.
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Decimal to fraction
Approximate decimal as a simple fraction.
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Derivative calculator
Numeric derivative f′(x) with central difference.
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Discount calculator
Sale price from list price and % off.
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Discrete random variable calculator
E[X] and Var(X) from a PMF table.
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Distance (coordinate)
Distance between (x1,y1) and (x2,y2).
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Divisibility checker
Does divisor divide dividend (integer sense)?
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Double integral calculator
∬ on a rectangle; f(x) or f(x,y).
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EMI calculator
Equated monthly installment (reducing balance).
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Expected value calculator
E and Var from outcomes and probabilities.
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Exponent calculator
Compute a^b.
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Fourier transform (reference)
Short Fourier facts.
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Fraction calculator
Add or multiply two fractions.
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Fraction to decimal
Numerator ÷ denominator.
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Function plotter (polynomial)
Plot y = Σ c_k x^k from coefficients.
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Graph plotter (2D points)
Connect entered (x,y) pairs.
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Graph theory (degrees)
Edge list → degrees and handshaking check.
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HCF / GCD calculator
Greatest common divisor.
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Hexadecimal calculator
Integer + − × in base 16.
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Histogram generator
Equal-width bin counts.
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Integral calculator
Definite integral (Simpson) or polynomial antiderivative.
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Inverse trig calculator
arcsin, arccos, arctan principal values.
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Investment (future value)
Lump-sum compound growth.
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Laplace transform (reference)
Common transform lines (not a CAS).
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LCM calculator
Least common multiple of two integers.
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Length converter
m, km, cm, ft, in, mi, …
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Limit calculator
Numeric two-sided limit as x approaches a.
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Linear equation solver
Solve ax + b = 0.
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Linear inequality (1D summary)
Describe solution on a number line in text.
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Linear inequality solver
Solve ax + b ⋈ c for x.
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Linear regression calculator
Least-squares line and R².
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Loan calculator
Same EMI engine as the EMI tool.
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Logarithm calculator
log_base(y) for any valid base.
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Logic gate simulator
Single gate output for 0/1 inputs.
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Logistic map (chaos demo)
Iterate x_{n+1}=r x_n(1−x_n).
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LU decomposition calculator
PA = LU with partial pivoting (n≤6).
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Maclaurin series calculator
Taylor polynomial at 0.
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Mandelbrot preview (ASCII)
Low-res ASCII escape-time view.
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Math flashcard generator
Lines front|back.
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Math formula sheet generator
Pick topics for a text formula list.
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Math notes outline
Starter bullet outlines by topic.
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Math problem generator (toy)
Linear template from seed.
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Math revision planner
Spread topics across days.
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Matrix addition / subtraction
A ± B with same shape.
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Matrix determinant calculator
det(A) for n≤8.
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Matrix eigenvalues calculator
Real eigenvalues for 2×2 and 3×3.
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Matrix eigenvectors calculator
Eigenvectors for 2×2 with real eigenvalues.
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Matrix equation (Gaussian)
Augmented rows for 2×2 or 3×3.
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Matrix inverse calculator
A⁻¹ for square n≤6.
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Matrix multiplication calculator
A·B with compatible dimensions.
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Matrix rank calculator
Rank via row reduction.
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Mean, median, mode
All three from one data list.
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Midpoint calculator
Midpoint of a segment in 2D.
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Mixture and alligation
Weighted mixture concentration.
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Newton–Raphson calculator
Real root of f(x)=0 (numeric).
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Normal distribution calculator
CDF P(X ≤ x) for N(μ,σ²).
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Number base converter
Bases 2–16, integer only.
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Numerical methods (bisection)
Bracketed root on [a,b].
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Octal calculator
Integer + − × in base 8.
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ODE solver (Euler)
dy/dx = f(x,y) with Euler steps.
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Optimization (interval)
Approximate min and max of f on [a,b] by sampling.
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Parametric graph plotter
x(t), y(t) as polynomials in t.
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Partial derivative calculator
∂f/∂x or ∂f/∂y for f(x,y).
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Partnership calculator
Profit share ∝ investment × time.
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Percentage calculator
What percent is a of b, or what is p% of n.
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Perimeter calculator
Perimeter or circumference.
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Permutations (nPr)
n!/(n−r)!.
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Poisson distribution calculator
PMF and CDF for Poisson(λ).
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Polynomial factorization (quadratic)
Factor ax²+bx+c over ℝ.
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Polynomial graph
Same engine as the polynomial function plotter.
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Polynomial solver (cubic)
One real root of ax³+bx²+cx+d by Newton.
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Present value calculator
Discount a future value to today.
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Prime checker
Test if n is prime (trial division).
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Prime factorization
Factor n ≥ 2 into primes.
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Prism calculator
Rectangular or triangular prism volume.
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Probability (favorable/total)
P = favorable outcomes / total.
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Profit and loss calculator
% profit/loss on cost price.
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Proportion calculator
Solve a/b = c/d for one missing value.
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Pyramid calculator
Square base pyramid volume.
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Pythagorean theorem
Hypotenuse or leg.
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Quadratic equation solver
ax² + bx + c = 0 with discriminant.
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Radical simplifier
√n = a√b for non-negative integer n.
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Ratio calculator
Simplify a : b to smallest integers.
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ROI calculator
Return on investment percent.
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Rounding calculator
Decimal places or significant figures.
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Section formula
Internal division m : n.
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Sequences (AP / GP)
nth term or partial sum.
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Set theory calculator
Union, intersection, difference on token sets.
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Shortcut tricks (roadmap)
Placeholder for curated shortcuts.
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Similarity / congruence (SSS)
Compare two triangles by side lengths.
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Simple interest calculator
SI = P·r·t with annual percent rate.
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Slope calculator
Slope through two points.
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Speed converter
m/s, km/h, mph, knot.
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Speed, distance, time
d = s t rearrangements.
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Sphere calculator
Volume and surface area.
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Standard deviation calculator
Sample or population SD.
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Statistical analysis
Quartiles and variance.
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Statistics: mean, median, mode
All three from one list.
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Sum of series
Σk or Σk² for k = 1…n.
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Surface area calculator
Sphere, cylinder, or rectangular box.
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System of equations (2×2)
Two linear equations in two unknowns.
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Tangent line calculator
Line tangent to y = f(x) at x = a.
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Taylor series calculator
Taylor polynomial at x = a (numeric or exact polynomial).
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Temperature converter
°C, °F, K pairs.
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Time and work calculator
Combined rate 1/T = 1/T₁ + 1/T₂.
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Time converter
s, min, h, d, wk, y.
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Topology visualizer (roadmap)
Placeholder for advanced viz.
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Triangle solver (SSS)
Area and angles from three sides.
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Triangle trigonometry (SAS)
Area and third side from two sides and included angle.
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Trig equation (simple)
Principal solution for sin θ = k or cos θ = k.
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Trig identities (reference)
Common identities summary.
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Trigonometry calculator
sin, cos, tan in degrees or radians.
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Truth table generator
Two-input logic gates.
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Two's complement calculator
Fixed-width two's complement ↔ signed integer.
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Unit circle visualizer
Angle from +x axis with cos/sin readout.
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Variance calculator
Sample or population variance.
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Vector field preview
Simple 2D field arrows.
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Venn diagram helper (counts)
Region sizes from |A|, |B|, |A∩B|.
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Volume calculator
Box, cylinder, sphere, cone, pyramid.
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Volume converter
m³, L, gal, ft³, …
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Weighted average
Lines of value and weight.
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Z-score calculator
z = (x − μ)/σ.
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Z-transform (reference)
Discrete transform snippets.
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