* Geometric measure theory

Other theories of origin are compatible with the formulaic theory: Beowulf may contain a design for terror, and The Iliad may have a vast hysteron-proteron pattern answering to a ceramic pattern produced during the Geometric Period in pottery.

Another application of category theory, more specifically: topos theory, has been made in mathematical music theory, see for example the book The Topos of Music, Geometric Logic of Concepts, Theory, and Performance by Guerino Mazzola.

* Geometric graph theory

* Geometric singularity theory / editors of the volume, Heisuke Hironaka, Stanisław Janeczko ( 2004 )

* Geometric analysis involves the use of geometrical methods in the study of partial differential equations and the application of the theory of partial differential equations to geometry.

* Geometric group theory

Category: Geometric group theory

Category: Geometric group theory

The theory is named for Shiing-Shen Chern and James Harris Simons, co-authors of a 1974 paper entitled " Characteristic Forms and Geometric Invariants ," from which the theory arose.

Category: Geometric graph theory

* Geometric graph theory

Category: Geometric group theory

* Mumford, D .; Fogarty, J .; Kirwan, F. Geometric invariant theory.

Category: Geometric group theory

Category: Geometric group theory

Category: Geometric group theory

Geometric group theory, Vol.

Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act ( that is, when the groups in question are realized as geometric symmetries or continuous transformations of some spaces ).

Geometric group theory, as a distinct area, is relatively new, and has become a clearly identifiable branch of mathematics in late 1980s and early 1990s.

Geometric group theory closely interacts with low-dimensional topology, hyperbolic geometry, algebraic topology, computational group theory and differential geometry.

Limited possibilities have been explored by artists as an outlet to artistic expression, and has been cultivated to become a positive style and tradition, emphasizing the decorative function of art, or its religious functions via non-representational forms such as Geometric patterns, floral patterns, and arabesques.

Geometric objects, such as points, lines, or planes, can be given a representation as elements in projective spaces based on homogeneous coordinates.

* Geometric dimension of an object, such as noting that a room is 10 × 12 feet in area.

* Geometric progression, sequence of numbers such that the quotient of any two successive members of the sequence is a constant

Geometric hashing was originally suggested in computer vision for object recognition in 2D and 3D, but later was applied to different problems such as structural alignment of proteins.

Geometric bronzes such as the four copper horses of San Marco ( Venice, probably 2nd century ) are other prime examples of statues cast in many parts.

Geometric quantities such as the Berry phase may be understood in the language of sub-Riemannian geometry.

Geometric manipulation of modeling primitives, such as that performed by a geometry pipeline, is the first stage in computer graphics systems which perform image generation based on geometric models.

STEP is addressing product data from mechanical and electrical design, Geometric dimensioning and tolerancing, analysis and manufacturing, with additional information specific to various industries such as automotive, aerospace, building construction, ship, oil and gas, process plants and others.

Geometric concepts such as right triangles are introduced.

Geometric concepts such as right triangles are also introduced.

Recent excavations, however, conducted by Professor I. Papapostolou for the Archaeological Society of Athens ( Archaiologike Etairia Athenon ) have demonstrated that a ) the building is likely to have been constructed after the end of the Mycenaean period c. 1000-900 BC ; b ) that the curious horseshoe shaped setting of stone slabs which appeared to surround the Megaron was only put in place after the Megaron had gone out of use and c ) that the burnt stratum with the typical offerings of the later Geometric period ( 800-700 BC ), attested at many Greek sanctuary sites such as Olympia and Delphi, intervenes between the slabs and the foundations of the Archaic temple which carried the painted metopes.

Geometer's Sketchpad includes the traditional Euclidean tools of classical Geometric constructions ; that is, if a figure ( such as the pentadecagon ) can be constructed with compass and straight-edge, it can also be constructed using this program.

The type of tracery that evolved to fill these spaces is known in England as Geometric Decorated Gothic and can be seen to splendid effect at many English and French Cathedrals, notably Lincoln and Notre Dame in Paris.

Geometric mean can be thought of as the antilog of the arithmetic mean of the logs of the numbers.

Geometric dimensions and tolerances can also be extracted directly from the point cloud.

Geometric figures which can be related by an isometry are called congruent.

Quaternions can also be generalised into four dimensions, as even Multivectors of the four dimensional Geometric algebra.

In the model the evolution of the stock price can be described by Geometric Brownian Motion:

Geometric patterns have low value ; flowers or other identifiable objects can command high prices.

Geometric optics can be used to describe the geometrical aspects of imaging, including optical aberrations.

Geometric variations with irregular faces can also be constructed.

In the introduction to his book Topics in Geometric Group Theory, Pierre de la Harpe wrote: " One of my personal beliefs is that fascination with symmetries and groups is one way of coping with frustrations of life's limitations: we like to recognize symmetries which allow us to recognize more than what we can see.

Greek vases, especially during their Geometric Period, were likely the genesis for the widespread use of meanders ; alternatively, very ocean-like patterns of waves also appeared in the same format as meanders, which can also be thought of as the guilloche pattern.

Most of his lamps can be grouped into one of seven specific categories: Irregular Upper and Lower Border, Favrile, Geometric, Transition to Flowers, Flowered Cone, and Flowered Globe lamps.