automorphic in a sentence
1) Functions of the form __FORMULA__ are known as automorphic factors.
2) automorphic forms extend the notion of modular forms to general Lie groups.
3) Stephen Gelbart, "automorphic forms on adele groups".
4) Find a nonassociative finite simple automorphic loop, if such a loop exists.
automorphic example sentences
5) automorphic sudokus are sudoku puzzles which solve to an automorphic grid.6) automorphic sudokus are sudoku puzzles which solve to an automorphic grid.
7) Among the population of all sudoku grids, those that are automorphic are rare.
8) An example of an automorphic sudoku which solves to such a grid is below.
9) Goro Shimura, "Introduction to the arithmetic theory of automorphic functions".
10) Since this sudoku is automorphic, so too its solution grid must be automorphic.
11) Since this sudoku is automorphic, so too its solution grid must be automorphic.
12) These collineations are called automorphic collineations.
13) A more recent use of Gelfand pairs is for splitting of periods of automorphic forms.
14) For example, he has related quantum states of black holes to automorphic forms in unexpected ways.
example sentences with automorphic
15) Now suppose we are given a family of automorphic forms with a complex parameter "s".16) automorphic collineations are planar collineations.
17) The theory is particularly well developed for symmetric spaces and provides a theory of automorphic forms (discussed below).
18) The grand Riemann hypothesis extends it to all automorphic zeta functions, such as Mellin transforms of Hecke eigenforms.
19) Soare (1974) showed that also the converse holds, that is, every two maximal sets are automorphic.
20) In his 1884 book on the icosahedron, Klein set out a theory of automorphic functions, connecting algebra and geometry.
21) Moreover, integrable systems play an essential role in the geometric Langlands Program, where automorphic forms of the Langlands Program are replaced by appropriate Hitchin systems.
22) As a result an entire philosophy, the Langlands program has developed around the relation between representation and number theoretic properties of automorphic forms.
23) The subsequent notion of "automorphic representation" has proved of great technical value for dealing with the case that "G" is an algebraic group, treated as an adelic algebraic group.
24) The quotient of a semisimple Lie group by a compact subgroup is a symmetric space and so the theory of automorphic forms is intimately related to harmonic analysis on symmetric spaces.
25) automorphic forms are a generalization of modular forms to more general analytic functions, perhaps of several complex variables, with similar transformation properties.
26) If the dimension of a projective space "P" is at least two, every collineation of "P" is the composition of an automorphic collineation and a homography.
27) Let "m" be an automorphic form over "G", then its "H"-period splits as a product of local factors (i.e. factors that depends only on the behavior of "m" at each place __FORMULA__).
28) An example of a grid which is automorphic would be a grid which can be rotated 180 degrees resulting in a new grid where the new cell values are a permutation of the original grid.
29) A grid is automorphic if it can be transformed in a way that leads back to the original grid, when that same transformation would not otherwise lead back to the original grid.
30) Modular form theory is a special case of the more general theory of automorphic forms, and therefore can now be seen as just the most concrete part of a rich theory of discrete groups.
31) Harrington gave a further example of an automorphic property: that of the creative sets, the sets which are many-one equivalent to the halting problem.
32) Klein summarized his work on automorphic and elliptic modular functions in a four volume treatise, written with Robert Fricke over a period of about 20 years.
33) However Poincaré published an outline of his theory of automorphic functions in 1881, which led to a friendly rivalry between the two men.
These examples have been automatically selected and may contain sensitive content that does not reflect the opinions or policies of our website. Please inform us about the inappropriate sentences:
This site is designed to teach you English words in context with collocations with the help of example sentences.
You can easily memorize the word and the meaning of automorphic
and This is a fast way of learning the meaning of automorphic with example sentences.
Always focus on the learning on sentences with automorphic
We believe you will easily learn to write and use the word automorphic in a sentence.
You can practice spelling and usage of the word by getting 10 examples of sentences with automorphic.
20 examples of simple sentences of automorphic. We tried to find and publish the the words with Simple Sentences of automorphic
Compound Sentences with automorphic
Complex Sentences with automorphic
Compound-Complex Sentences with automorphic