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.

Nouveau procede pour representer des points la forme meme des letters, les cartes de geographie, les figures de geometrie, les caracteres de musiques, etc., a l ' usage des aveugles ( New Method for Representing by Dots the Form of the Letters Themselves, Maps, Geometric Figures, Musical Symbols, etc., for Use by the Blind ) ( decapoint )

* Denis Andrey and Mirko Galli, " Geometric methods of the 1500s for laying out the ionic volute "

* Geometric Brownian motion models for stock movement except in rare events.

Geometric interpretation for the exterior product of n vector ( geometry ) | vector s ( u, v, w ) to obtain an n-vector ( parallelotope elements ), where n = graded algebra | grade, for n = 1, 2, 3.

* Black triangle, in Unicode Geometric Shapes ( e. g.: &# 9660 ; &# 9664 ; &# 9699 ;) special code for printing a variety of shapes including various black triangles

* Jean H. Gallier ( 2001 ) Geometric Methods and Applications for Computer Science and Engineering, Chapter 2: Basics of Affine Geometry, Springer Texts in Applied Mathematics # 38, chapter online from University of Pennsylvania ( PDF ).

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.

His book Geometric Integration Theory gives a theoretical basis for Stokes ' theorem applied with singularities on the boundary and later inspired the generalization found by Jenny Harrison.

Geometric dimensioning and tolerancing ( GD & T ) is a system for defining and communicating engineering tolerances.

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 Hashing is a method used for object recognition.

ISBN 3-8331-1061-9 * Salisbury, W. S .: Salisbury ’ s System of Actual Measurement and Drafting for all Styles of Coats upon Geometric Principles.

Geometric points are what in the most classical cases, for example algebraic varieties that are complex manifolds, would be the ordinary-sense points.

* A Global Geometric Framework for Nonlinear Dimensionality Reduction

The Evidence for Kingship in Geometric Greece, Yale ( 1983 ).

* D. Hestenes, Garret Sobczyk: Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics, Fundamental Theories of Physics, Springer, 1987, ISBN 978-9027725615

* Geometric Layout Analysis Techniques for Document Image Understanding: a Review, ITC-irst Technical Report TR # 9703-09

He holds four United States patents: # 3, 169, 611: Discontinuous Compression Structures, February, 1965 ; # 3, 276, 148: Model for Atomic Forms, October, 1966 ; # 4, 099, 339: Model for Atomic Forms, July, 1978 ; and # 6, 017, 220: Magnetic Geometric Building System ; and most recently, # 6, 739, 937: Space Frame Structure Made by 3-D Weaving of Rod Members, May 25, 2004.

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.

Especially in the case of full rank, see the section below on Geometric interpretation.

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

* Geometric median, a point minimizing the sum of distances to a given set of points

* Geometric median or Fermat – Weber point, the point minimizing the sum of distances to more than three given points.

In the vases this spirit may perhaps at times bore or repel one in its internal self-satisfaction, but the best of the Geometric pins have rightly been considered among the most beautiful ever made in the Greek world.

Geometric pottery has not yet received the thorough, detailed study which it deserves, partly because the task is a mammoth one and partly because some of its local manifestations, as at Argos, are only now coming to light.

In their vases were embodied the basic aesthetic and logical characteristics of Greek civilization, at first hesitantly in Protogeometric work, and then more confidently in the initial stages of the Geometric style.

A painted terracotta centaur was found in the " Hero's tomb " at Lefkandi, and by the Geometric period, centaurs figure among the first representational figures painted on Greek pottery.

An often-published Geometric period bronze of a warrior face-to-face with a centaur is at the Metropolitan Museum of Art.

Geometric microliths are a clearly defined type of stone tool, at least in their basic forms.

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.

* An Investigation of Historical Geometric Constructions at Convergence

According to their ornamentation, the pots discovered at the site were from the Geometric period.

According to their ornamentation, the pots discovered at the site were from the Geometric period.

* Geometric Translation ( Interactive Animation ) at Math Is Fun

* Paper by Prof. Galvez at Colgate University, describing Geometric Phase in Optics:

During the 1970s, further archaeological excavations in Caria revealed Mycenean buildings at Iasus ( with two " Minoan " levels underneath them ), as well as Protogeometric and Geometric material remains ( i. e. cemeteries and pottery ).

Votive bronzes at the site from the Geometric and Archaic periods take the forms of horses and deer ; there are sealstones and fibulae.

From at least the Geometric period of the ninth century BC, the long-deceased heroes linked with founding myths of Greek sites were accorded chthonic rites in their heroon, or " hero-temple ".

A study by Drews ( 1983 ) has demonstrated that even at the apex of Geometric and Archaic Greek society, basileus does not automatically translate to " king ".

The sharp corner at the brick has acted as a stress concentrator within the concrete causing it to crack Geometric discontinuities cause an object to experience a local increase in the intensity of a stress field.

For example, in the second film of the series, Ator storms a castle using a 1980s style hang glider, and later destroys the " Geometric Nucleus " with what appears to be a nuclear bomb, complete with mushroom cloud, at the end of the film.

Geometric primitives that now fall completely outside of the viewing frustum will not be visible and are discarded at this stage.

* Reynolds, Mark " A Comparative Geometric Analysis of the Heights and Bases of the Great Pyramid of Khufu and the Pyramid of the Sun at Teotihuaca " Nexus Network Journal, 1: 23-42 ( Oct. 1999 ).

There is also a preprint version of this paper in Adobe pdf format, available at the web page of the Research Group in Calculus of Variations and Geometric Measure Theory, Scuola Normale Superiore, Pisa.

*, available home page at the Research Group in Calculus of Variations and Geometric Measure Theory, Scuola Normale Superiore, Pisa.

* available at the web site of the Research Group in Calculus of Variations and Geometric Measure Theory, Scuola Normale Superiore, Pisa.