indecomposable
1indécomposable — [ ɛ̃dekɔ̃pozabl ] adj. • 1738; de 1. in et décomposable 1 ♦ Qui ne peut être décomposé. Corps simple indécomposable. 2 ♦ Fig. Qu on ne peut analyser, séparer en parties distinctes. ⇒ inanalysable. Ceci forme un tout indécomposable. ●… …
2Indecomposable — has multiple meanings in the field of mathematics:* indecomposable module, in algebra * indecomposable distribution, in probability * indecomposable continuum, in topology * indecomposability, in constructive mathematics …
3Indecomposable — In*de com*pos a*ble, a. [Pref. in not + decomposable: cf. F. ind[ e]composable.] Not decomposable; incapable or difficult of decomposition; not resolvable into its constituents or elements. [1913 Webster] …
4indecomposable — [in΄dē΄kəm pō′zə bəl] adj. that cannot be decomposed …
5INDÉCOMPOSABLE — adj. des deux genres Qui ne peut être décomposé. Une substance indécomposable …
6INDÉCOMPOSABLE — adj. des deux genres T. didactique Qui ne peut être décomposé. Une substance indécomposable …
7indecomposable — |pōzəbəl adjective Etymology: in (I) + decomposable : not capable of being broken up into component parts a substance that resists analysis and is apparently indecomposable …
8Indecomposable module — In abstract algebra, a module is indecomposable if it is non zero and cannot be written as a direct sum of two non zero submodules.Indecomposable is a weaker notion than simple module:simple means no proper submodule N < M,while indecomposable… …
9Indecomposable distribution — In probability theory, an indecomposable distribution is a probability distribution that cannot be represented as the distribution of the sum of two or more non constant independent random variables: Z ≠ X + Y. If it can be so …
10Indecomposable continuum — Construction of the BJK continuum In point set topology, an indecomposable continuum is a continuum that is not the union of any two of its proper subcontinua. The pseudo arc is an example of a hereditarily indecomposable continuum. L. E. J.… …
