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노트

위키데이터

• ID : Q874429

말뭉치

1. Cube can be represented using group theory.
2. So that’s all well and good, but what does any of this have to do with group theory?
3. In the above section we described group theory formalism applied to graphs.
4. The study of groups is known as group theory.
5. There are many groups on Group Theory in the library, and some of these might be helpful for parts of the module, but no single book is likely to cover the whole syllabus.
6. In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.
7. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra.
8. The early history of group theory dates from the 19th century.
9. The theory of transformation groups forms a bridge connecting group theory with differential geometry.
10. Group Theory is the mathematical application of symmetry to an object to obtain knowledge of its physical properties.
11. one needs to take a look at the theory portion of the Group Theory topic or refer to one of the reference text listed at the bottom of the page.
12. When one thinks of group theory applications one doesn't necessarily associated it with everyday life or a simple toy like a Rubik's cube.
13. The character table contains a wealth of information, for a more detailed discussion of the character table can be found in Group Theory Theoretical portion of the chemWiki.
14. Symmetry operations and symmetry elements are two basic and important concepts in group theory.
15. Since the symmetry point group have all the properties of a group, there are also several subgroups that we can find in a perticular symmetry point group.
16. The Geometric Group Theory Page provides information and resources about geometric group theory and low-dimensional topology, although the links sometimes stray into neighboring fields.
17. Rather we must take the view that group theory is the abstraction of ideas that were common to a number of major areas which were being studied essentially simultaneously.
18. Although the beginnings of permutation group theory can be seen in this work, Lagrange never composes his permutations so in some sense never discusses groups at all.
19. Abel , in, gave the first accepted proof of the insolubility of the quintic, and he used the existing ideas on permutations of roots but little new in the development of group theory.
20. Group theory really came of age with the book by Burnside published in.
21. This teacher package brings together all Plus articles on group theory.
22. Articles in this category explore applications of group theory.
23. The article explains how group theory was used to show that you can solve a Rubik's cube in 26 steps.
24. An account of how group theory is used to study the shape of viruses.
25. After novel geometries such as hyperbolic and projective geometry had emerged, Klein used group theory to organize them in a more coherent way.
26. The third field contributing to group theory was number theory.
27. Likewise, group theory helps predict the changes in physical properties that occur when a material undergoes a phase transition, for example, from a cubic to a tetrahedral crystalline form.
28. Listing all finite simple groups was a major achievement in contemporary group theory.
29. Appendices review the basic concepts of group theory , ring theory, and linear algebra.
30. Broadly speaking, group theory is the study of symmetry.
31. When we are dealing with an object that appears symmetric, group theory can help with the analysis.
32. Within mathematics itself, group theory is very closely linked to symmetry in geometry.
33. Classical problems in algebra have been resolved with group theory.
34. The spatial symmetries of V(r) can be analyzed by standard group theory.
35. Today, the group theory has multiple facets and widespread applications in a broad range of science, including not only mathematics and physics but also chemistry.
36. In chemistry, group theory is used to study the symmetries and the crystal structures of molecules.
37. One of the origins of the group theory goes back to the study of the solvability of algebraic equations by Galois in the nineteenth century.
38. By using group theory, he classified Euclidean geometry and non-Euclidean geometry.

메타데이터

위키데이터

• ID : Q874429

Spacy 패턴 목록

• [{'LOWER': 'group'}, {'LEMMA': 'theory'}]
• [{'LOWER': 'symmetry'}, {'LOWER': 'point'}, {'LEMMA': 'group'}]