英语词汇“isomorphic”造句子简单的方法、技巧、例句及翻译-英语例句辞典

There are many different ways to construct the disjoint union using the axioms of set theory, which will not produce exactly the same set but will, necessarily, produce isomorphic ones. Infinity Category Theory Offers a Bird’s-Eye View of Mathematics 2021-09-14T04:00:00Z

We worked with Michael Moore, The Verge’s reviews coordinator, to lay out the principle items from the guide in an isomorphic arrangement which would then be photographed by Amelia Holowaty Krales. 2018: A year in photographs on The Verge 2018-12-28T05:00:00Z

It builds on previous approaches that find the symmetries of a graph — all the ways to generate isomorphic graphs by renaming nodes. Graph-theory breakthrough tantalizes mathematicians 2015-11-18T05:00:00Z

A mathematical structure is a set of isomorphic elements, each of which can be perfectly mapped onto the next. Schrodinger’s Rats and The Search for Ultimate Reality [Excerpt] 2014-01-31T15:00:00Z

Among the groups isomorphic with a given continuous group there The adjunct group. is one of special importance which is known as the adjunct group. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z

The totality of these operations clearly constitutes a group isomorphic with the given group, and this group is called the group of inner isomorphisms. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z

A group is simply or multiply isomorphic with its group of inner isomorphisms according as it does not or does contain self-conjugate operations other than identity. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z

The groups are then said to be isomorphic, and the correspondence between their operations is spoken of as an isomorphism between the groups. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z

Hence the set of permutations constitutes a group which is simply isomorphic with the given group. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z

That the r infinitesimal operations thus defined actually generate a group isomorphic with the given group is verified by forming their combinants. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z

The consideration of a discontinuous group as arising from a set of independent generating operations suggests a purely abstract point of view in which any two simply isomorphic groups are indistinguishable. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z

Two simply isomorphic groups considered abstractly—that is to say, in regard only to the way in which their operations combine among themselves, and apart from any concrete representation of the operations—are clearly indistinguishable. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z

If G is multiply isomorphic with g, let A, B, C, ... be the operations of G which correspond to the identical operation of g. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z

Hence if G is the group of motions and H the group of translations, G/H is simply isomorphic with the group of rotations about a point. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z

A group may be represented as isomorphic with itself by transforming all its operations by any one of them. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z

The groups simply isomorphic with the general projective group in space of n dimensions. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z

A group which has no characteristic subgroup must be either a simple 635 group or the direct product of a number of simply isomorphic simple groups. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z

The set of permutations, therefore, forms a group isomorphic with the given group. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z

When the ratios only of the variables are considered, there arises a linear fractional group, with which the corresponding linear homogeneous group is isomorphic. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z

单词	isomorphic
例句	isomorphic There are many different ways to construct the disjoint union using the axioms of set theory, which will not produce exactly the same set but will, necessarily, produce isomorphic ones. Infinity Category Theory Offers a Bird’s-Eye View of Mathematics 2021-09-14T04:00:00Z We worked with Michael Moore, The Verge’s reviews coordinator, to lay out the principle items from the guide in an isomorphic arrangement which would then be photographed by Amelia Holowaty Krales. 2018: A year in photographs on The Verge 2018-12-28T05:00:00Z It builds on previous approaches that find the symmetries of a graph — all the ways to generate isomorphic graphs by renaming nodes. Graph-theory breakthrough tantalizes mathematicians 2015-11-18T05:00:00Z A mathematical structure is a set of isomorphic elements, each of which can be perfectly mapped onto the next. Schrodinger’s Rats and The Search for Ultimate Reality [Excerpt] 2014-01-31T15:00:00Z Among the groups isomorphic with a given continuous group there The adjunct group. is one of special importance which is known as the adjunct group. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z The totality of these operations clearly constitutes a group isomorphic with the given group, and this group is called the group of inner isomorphisms. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z A group is simply or multiply isomorphic with its group of inner isomorphisms according as it does not or does contain self-conjugate operations other than identity. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z The groups are then said to be isomorphic, and the correspondence between their operations is spoken of as an isomorphism between the groups. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z Hence the set of permutations constitutes a group which is simply isomorphic with the given group. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z That the r infinitesimal operations thus defined actually generate a group isomorphic with the given group is verified by forming their combinants. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z The consideration of a discontinuous group as arising from a set of independent generating operations suggests a purely abstract point of view in which any two simply isomorphic groups are indistinguishable. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z Two simply isomorphic groups considered abstractly—that is to say, in regard only to the way in which their operations combine among themselves, and apart from any concrete representation of the operations—are clearly indistinguishable. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z If G is multiply isomorphic with g, let A, B, C, ... be the operations of G which correspond to the identical operation of g. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z Hence if G is the group of motions and H the group of translations, G/H is simply isomorphic with the group of rotations about a point. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z A group may be represented as isomorphic with itself by transforming all its operations by any one of them. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z The groups simply isomorphic with the general projective group in space of n dimensions. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z A group which has no characteristic subgroup must be either a simple 635 group or the direct product of a number of simply isomorphic simple groups. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z The set of permutations, therefore, forms a group isomorphic with the given group. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z When the ratios only of the variables are considered, there arises a linear fractional group, with which the corresponding linear homogeneous group is isomorphic. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z
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