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Jargon often appears in lectures, and sometimes in print, as informal shorthand for rigorous arguments or precise ideas. Much of this uses common English words, but with a specific non-obvious meaning when used in a mathematical sense. Some phrases, like "in general", appear below in more than one section.
2. In geometry and linear algebra, denotes the cross product. 3. In set theory and category theory, denotes the Cartesian product and the direct product. See also × in § Set theory. · 1. Denotes multiplication and is read as times; for example, 3 ⋅ 2. 2. In geometry and linear algebra, denotes the dot product. 3.
Printable version; In other projects Wikidata item; Appearance. move to sidebar hide. Help. Pages in category "Glossaries of mathematics" ... Glossary of linear algebra;
If E is a locally free sheaf on a scheme X, the projective bundle P(E) of E is the global Proj of the symmetric algebra of the dual of E: = ( ()). Note this definition is standard nowadays (e.g., Fulton's Intersection theory ) but differs from EGA and Hartshorne (they don't take a dual).
Also called infinitesimal calculus A foundation of calculus, first developed in the 17th century, that makes use of infinitesimal numbers. Calculus of moving surfaces an extension of the theory of tensor calculus to include deforming manifolds. Calculus of variations the field dedicated to maximizing or minimizing functionals. It used to be called functional calculus. Catastrophe theory a ...
Domain-specific terms must be recategorized into the corresponding mathematical domain. If the domain is unclear, but reasonably believed to exist, it is better to put the page into the root category:mathematics, where it will have a better chance of spotting and classification.
A – adele ring or algebraic numbers. a.a.s. – asymptotically almost surely. AC – Axiom of Choice, [1] or set of absolutely continuous functions. a.c. – absolutely continuous.
[74] [75] [76] The concept of linear combinations is central to linear algebra and related fields of mathematics. linear equation A linear equation is an equation relating two or more variables to each other in the form of a 1 x 1 + ⋯ + a n x n + b = 0 , {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}+b=0,} with the highest power of each ...
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