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socle    
n. 台石,脚柱

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  • Socle (architecture) - Wikipedia
    In architecture, a socle is a short plinth used to support a pedestal, sculpture, or column In English, the term tends to be most used for the bases for rather small sculptures, with plinth or pedestal preferred for larger examples [ 1 ]
  • SOCLE Definition Meaning - Merriam-Webster
    The meaning of SOCLE is a projecting usually molded member at the foot of a wall or pier or beneath the base of a column, pedestal, or superstructure
  • Socle - Encyclopedia of Mathematics
    The socle is the largest semi-simple submodule More generally, for a modular lattice $L$ an element $a \in L$ is large or essential if $a \wedge b \ne 0$ for all $b \ne 0$ The socle of a modular lattice is defined as $$ \mathrm{soc}(L) = \bigwedge \{a \in L : a\ \text{large}\} \ $$ The interval $[0,\mathrm{soc}(L)]$ is a complemented lattice
  • SOCLE definition and meaning | Collins English Dictionary
    → another name for plinth (sense 1) Click for English pronunciations, examples sentences, video
  • Socle - definition of socle by The Free Dictionary
    Define socle socle synonyms, socle pronunciation, socle translation, English dictionary definition of socle n 1 A plain square block serving as a base for a sculpture, vase, or column 2 A plain plinth supporting a wall American Heritage® Dictionary of the
  • socle - Wiktionary, the free dictionary
    socle (plural socles) ( architecture ) A low plinth or pedestal used to display a statue or other artwork ( architecture ) A plain face or plinth at the foot of a wall
  • Socle -- from Wolfram MathWorld
    The socle of a group G is the subgroup generated by its minimal normal subgroups For example, the symmetric group S_4 has two nontrivial normal subgroups: A_4 and N={{1,2,3,4},{2,1,4,3},{3,4,1,2},{4,3,2,1}} But A_4 contains N, so N is the only minimal subgroup, and the socle of S_4 is N
  • What does socle mean? - Definitions. net
    The socle of a mathematical object, such as a group, module, or ring, is the sum subgroup submodule of all its minimal non-zero subobjects In the context of algebraic geometry, it is the maximal subsheaf of a sheaf that is both Artinian and Noetherian
  • Socle - Definition, Meaning Synonyms - Vocabulary. com
    DISCLAIMER: These example sentences appear in various news sources and books to reflect the usage of the word ‘socle' Views expressed in the examples do not represent the opinion of Vocabulary com or its editors
  • Socle (mathematics) - Wikipedia
    The socle is a characteristic subgroup, and hence a normal subgroup It is not necessarily transitively normal , however If a group G is a finite solvable group , then the socle can be expressed as a product of elementary abelian p -groups





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