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Mathematics diagram templates
Graphs, automata, Venn, set theory, lattices, function plots.
Maths — The Confounding Triangle
A confounder opens a backdoor path X ← Z → Y.
Causal DAGMaths — Factors of 12 vs 18
The overlap is the set of common factors (HCF = 6).
Venn / EulerMaths — Calculus Mind Map
Limits, differentiation, integration and applications.
Markmap (Markdown)Maths — Matrices & Determinants
2x2 determinant, inverse and transpose rules.
LaTeX (KaTeX)Maths — Complex Numbers
Modulus, polar form and Euler's identity.
LaTeX (KaTeX)Maths — Statistics Mind Map
Descriptive stats, distributions and inference.
Markmap (Markdown)Maths — Set Operations
Union, intersection and set difference.
Venn / EulerMaths — Histogram of Exam Scores
A frequency distribution as a bar chart.
Vega-LiteMaths — Odd vs Even Numbers
Two disjoint sets that partition the integers.
Venn / EulerMaths — Vectors
Dot product, cross product and magnitude.
LaTeX (KaTeX)Maths — Instrumental Variable
An instrument identifies a causal effect despite confounding.
Causal DAGMaths — Rectangles vs Rhombi
A square is both a rectangle and a rhombus.
Venn / EulerMaths — Factors of 24 vs 36
The common factors give the HCF of 12.
Venn / EulerMaths — Sequences & Series
Arithmetic and geometric progressions.
LaTeX (KaTeX)Maths — Prime vs Square Numbers
Two disjoint sets of positive integers.
Venn / EulerMaths — Quadratic Equations
The quadratic formula, discriminant and root relations.
LaTeX (KaTeX)Maths — Multiples of 4 vs 6
Common multiples are multiples of the LCM, 12.
Venn / EulerMaths — Integers and Rationals
Integers and non-integer rationals partition the rationals.
Venn / EulerMaths — Mean vs Median
Two measures of central tendency contrasted.
Venn / EulerMaths — Isosceles vs Right-Angled Triangles
The overlap is the 45-45-90 triangle.
Venn / EulerMaths — Integration
Standard integrals and the fundamental theorem.
LaTeX (KaTeX)Maths — Parallelograms vs Trapeziums
Counting pairs of parallel sides.
Venn / EulerMaths — Front-door Criterion
A mediator identifies the effect despite confounding.
Causal DAGMaths — Vectors vs Scalars
Quantities with and without direction.
Venn / EulerMaths — Permutations vs Combinations
Whether order matters in counting.
Venn / EulerMaths — Circle Measures
Area, circumference, arc length and sector area.
LaTeX (KaTeX)Maths — Pythagoras & Distance
The theorem and the distance formula.
LaTeX (KaTeX)Maths — Factors vs Multiples of 12
Twelve is both a factor and a multiple of itself.
Venn / EulerMaths — Conditioning on a Collider's Descendant
Adjusting for a descendant of a collider opens bias.
Causal DAGMaths — Laws of Logarithms
Product, quotient, power and change of base.
LaTeX (KaTeX)Maths — Sine vs Cosine Graphs
Two related trigonometric curves.
Venn / EulerMaths — Prisms vs Pyramids
Two families of 3-D solids.
Venn / EulerMaths — Compound Interest & Growth
Compounding, continuous growth and depreciation.
LaTeX (KaTeX)Maths — Similar vs Congruent Shapes
Congruent shapes are similar with scale factor 1.
Venn / EulerMaths — A Causal Chain (Pipe)
Conditioning on the middle blocks the association.
Causal DAGMaths — Fractions vs Decimals
Two ways to write parts of a whole.
Venn / EulerMaths — The Binomial Expansion
Expanding powers of a binomial.
LaTeX (KaTeX)Galois correspondence — splitting field of x⁴ − 2 over ℚ
Side-by-side Hasse diagrams of the ten subgroups of D4 = Gal(K/Q) and the ten intermediate fields of K = Q(2^(1/4), i) over Q, rank-aligned so subgroup order and field degree read across, for an algebra course or a Galois theory write-up.
Graphviz (DOT)Petersen graph as the Kneser graph K(5,2)
The Petersen graph drawn with pinned neato positions and its vertices labelled by the ten 2-subsets of {1..5}, adjacent exactly when disjoint, with girth, chromatic number, chromatic index, connectivity and hypohamiltonicity stated on the figure — the reference object of graph theory.
Graphviz (DOT)Turing machine — binary successor
Three-state Turing machine transition diagram for incrementing a binary numeral, with arrows labelled read / write, move and the machine's reachability and determinism checked on the figure.
State machine (FSM)Gibbs phenomenon — Fourier partial sums of a square wave
Fourier partial sums S_5, S_15 and S_45 of the square wave sign(sin x) plotted against the wave itself, showing the overshoot narrowing but never shrinking below 8.949% of the jump — the standard figure for non-uniform convergence and filter ripple.
PlotElliptic curve group law — chord construction on y² = x³ + 17
The chord construction for P + Q on the elliptic curve y² = x³ + 17, with P = (−2,3), Q = (−1,4), third intersection P∗Q = (4,9) and P + Q = (4,−9), and the slope-formula arithmetic written out.
Raw SVGPoincaré disk — geodesic triangle and angle defect
A geodesic triangle in the Poincaré disk model with its interior angles, its Gauss–Bonnet area as the angle defect pi − (alpha+beta+gamma), its hyperbolic side lengths and a numerical check of the hyperbolic law of cosines.
Raw SVG