Sentence examples for classification of simple from inspiring English sources

If (ell =0) and (mathbf {p}ne mathbf{1}), then this belongs the classification of simple Lie superalgebras [57].

If (ell =0) and (mathbf {p}= mathbf{1}), then this is the Killing Cartan classification of simple Lie algebras of types (A, ldots, G).

(Church 1936a, 1936b) and (Turing 1936) imply the existence of theorems whose shortest proof is very large, and the proof of the Four Color Theorem in (Appel and Haken 1977), the Classification of Simple Groups in (Gorenstein 1982), and the proof of the Kepler Conjecture in (Hales 2005a) may well be just samples of what is yet to come.

In this article, we will give a complete classification of simple C*-algebras which can be written as inductive limits of algebras of the form An=⊕i=1knM[n,i](C Xn,i)), where Xn,i are arbitrary variable one-dimensional compact metrizable spaces.

Now the classification of the finite-dimensional contragredient Lie superalgebras is known and consists of the following: If (ell =0) and (mathbf {p}= mathbf{1}), then this is the Killing Cartan classification of simple Lie algebras of types (A, ldots, G).

Six laboratory tests have been performed in order to study the behaviour and the classification of "simple" beam-to-column joints; some of these tests concern bending of the column about its major axis, the others bending of the column about its minor axis.

A single kernel function is used in the traditional SVM method to solve the classification problem of simple data.

A single kernel function is used in the traditional SVM method and can solve the classification problem of simple data.

Classification of the simple and compound singularities of the total potential energy function is effected.

Classification of the simple (cuspoids) and compound (umbilics) singularities of the total potential energy function is effected.

In note 7 Corfield mentions John Thompson's comment to the effect that the classification of finite simple groups is an exercise in taxonomy.