Splitting
Encyclopedia
Splitting may refer to:
Mathematics
- Splitting (psychology)Splitting (psychology)Splitting may mean two things: splitting of the mind, and splitting of mental concepts . The latter is thinking purely in extremes Splitting (also called all-or-nothing thinking in cognitive distortion) may mean two things: splitting of the mind, and splitting of mental concepts (or black and...
- Lumpers and splittersLumpers and splittersLumping and splitting refers to a well-known problem in any discipline which has to place individual examples into rigorously defined categories. The lumper/splitter problem occurs when there is the need to create classifications and assign examples to them, for example schools of literature,...
, in classification or taxonomy
Mathematics
- Heegard splitting
- Splitting fieldSplitting fieldIn abstract algebra, a splitting field of a polynomial with coefficients in a field is a smallest field extension of that field over which the polynomial factors into linear factors.-Definition:...
- Splitting principleSplitting principleIn mathematics, the splitting principle is a technique used to reduce questions about vector bundles to the case of line bundles.In the theory of vector bundles, one often wishes to simplify computations, say of Chern classes. Often computations are well understood for line bundles and for direct...
- Splitting theorem
- Splitting lemmaSplitting lemmaIn mathematics, and more specifically in homological algebra, the splitting lemma states that in any abelian category, the following statements for short exact sequence are equivalent....