oxidize
发表于 2025-3-28 17:28:57
The meaning of symmetry,., and . are terms invoked in dictionaries to explain the meaning of the word .. But the formal study of symmetry must begin with a much simpler, more precise definition.
服从
发表于 2025-3-28 22:28:53
Axioms of group theory,In this book, we will be concerned almost exclusively with . of symmetry transforms. But the “group” is one of the most general concepts in mathematics, and we must begin with the axioms of group theory, stated in a form that applies to all kinds of groups.
Intellectual
发表于 2025-3-29 02:51:02
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怎样才咆哮
发表于 2025-3-29 06:40:44
The fundamental theorem,This Chapter puts together the definition of . given in Chapter 4, and the definition of . given in Chapter 5.
不可侵犯
发表于 2025-3-29 07:14:23
Molecules,Our . molecules are written and maintained by a simple form of object-oriented programming, which insures that errors are caught at the time of molecule entry, rather than during their use.
slipped-disk
发表于 2025-3-29 13:49:04
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chiropractor
发表于 2025-3-29 16:46:06
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发起
发表于 2025-3-29 20:21:03
Product groups,Multiplication to closure is not the only way to construct groups. In this chapter we show how one can sometimes combine two groups already known to make a new, larger group. We begin with an example. Look at the tabulated Cartesian matrices that represent groups C. and C.
Water-Brash
发表于 2025-3-30 03:49:31
Tabulated representations of groups,In this chapter we discuss the package operator CartesianRepresentationTable, or CartRep for short, . back in Chapter 8 ( MultiplicationTables). All the group names returned by GroupCatalog have a CartRep kept in the Symmetry package
音乐等
发表于 2025-3-30 04:25:10
Visualizing groups,In Chapter 15 (MakeGroup) we developed tools for generating every possible point group, and in Chapter 18 (CartesianRepresentations) we actually did it (well, not all of them).