Mathematical diagram

Mathematic diagrams are diagrams in the field of mathematics, and diagrams using mathematics such as charts and graphs, that are mainly designed to convey mathematical relationships, for example, comparisons over time.

History edit

Geometric diagrams edit

Euclid's Elements, ms. from Lüneburg, 1200 AD
Manuale Mathematicum, 1619
Table of Geometry, Cyclopaedia, 1728

Charts and graphs edit

Planetary Movements Chart, 10 th century
A page from Tractatus de latitudinibus formarum (1505)
Barchart by William Palyfair, 1781
Barchart by William Palyfair, 1821

Charts edit

A chart is a type of diagram, that represents tabular numeric data and/or functions. See Category:Charts by type

Area chart
bar chart
Bubble chart
Candlestick chart
Cartogram
Control chart
Flow chart
Gantt chart
Histogram
Line charts
Nolan chart
Nomogram
PERT chart
Pareto chart
Pedigree chart
Pie chart
Radar chart
Run chart
Timeline
Tree chart
Vowel chart

Plots edit

A plot is is a graphical technique for presenting a data set drawn by hand or produced by a mechanical or electronic plotter. It is a graph depicting the relationship between two or more variables used, for instance, in visualising scientific data.

Geometry diagrams edit

See also Category:Geometry diagrams

Coxeter-Dynkin diagrams edit

A Coxeter-Dynkin diagrams in geometry is a graph with labelled edges. It represents the spatial relations between a collection of mirrors (or reflecting hyperplanes), and describes a kaleidoscopic construction. See Category:Coxeter-Dynkin diagrams

Minkowski diagrams edit

The Minkowski diagram was developed in 1908 by Herman Minkowski and provides an illustration of the properties of space and time in the special theory of relativity. See Category:Minkowski diagrams

Root systems edit

A Root system in mathematics is a configuration of vectors in a Euclidean space satisfying certain geometrical properties. See Category:Root systems

Stellation diagrams edit

A Stellation diagrams, or facetting diagram, (for polyhedra) represents facet plane intersections outside of a uniform polyhedra face. See Category:Stellation diagrams

Logic diagrams edit

Logic diagrams are diagrams in the field of logic, used for representation and to carry out certain types of reasoning

Networks edit

Binary decision diagrams
Concept maps
Kripke models
Logic gates

Sets edit

Edward's Venn diagrams
Euler diagrams
Existential graph
Johnston diagrams
Spider diagram
Venn diagram

Tables edit

Carroll diagrams
Karnaugh maps
Operation tables in logic
Truth tables

Trees edit

Argument maps
Porphyrian tree
Semantic tableau

Vector diagrams edit

See also Category:Vector diagrams

Specific types of diagrams edit

Argand diagram edit

Argand diagrams are frequently used to plot the positions of the poles and zeroes of a function in the complex plane. See Category:Complex plane

Commutative diagrams edit

Commutative diagrams are mathematical diagrams of objects, also known as vertices, and morphisms, also known as arrows or edges. See Category:Commutative diagrams

Hasse diagrams edit

A Hasse diagram is a mathematical diagram in the order theory, which is a simple picture of a finite partially ordered set, forming a drawing of the transitive reduction of the partial order. See Category:Hasse diagrams

Petri nets edit

Petri nets shows the structure of a distributed system as a directed bipartite graph with annotations. See Category:Petri nets

Voronoi diagram edit

A Voronoi diagram is a special kind of decomposition of a metric space determined by distances to a specified discrete set of objects in the space, e.g., by a discrete set of points. SeeCategory:Voronoi diagrams

Wallpaper group diagrams edit

A wallpaper group or plane symmetry group or plane crystallographic group is a mathematical classification of a two-dimensional repetitive pattern, based on the symmetries in the pattern. Such patterns occur frequently in architecture and decorative art. There are 17 possible distinct groups. See Category:Wallpaper group diagrams

Other mathematical diagrams edit

Butterfly diagram: Data-flow diagram connecting the inputs x (left) to the outputs y that depend on them (right) for a "butterfly" step of a radix-2 Cooley-Tukey FFT.
Cremona diagram: a graphical method used in statics of trusses to determine the forces in members (graphic statics).
De Finetti diagram: a ternary plot used in population genetics, used to graph the genotype frequencies of populations, where there are two alleles and the population is diploid.
Knot diagram: In knot theory a useful way to visualise and manipulate knots is to project the knot onto a plane—think of the knot casting a shadow on the wall.
Ulam spiral: a simple method of graphing the prime numbers that reveals a pattern.
Van Kampen diagram: a planar diagram used to represent the fact that a particular word among the generators of a group given by a group presentation represents the identity element in that group.
A Young diagrams or Young tableau: a combinatorial object useful in representation theory. It provides a convenient way to describe the group representations of the symmetric and general linear groups and to study their properties.

Butterfly diagram
Cremona diagram
De Finetti diagram
Knot diagram
Van Kampen diagram
Ulam spiral
Young diagram
Fields of Mathematics
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