# Einstein notation

In mathematics, especially in applications of linear algebra to physics, Einstein notation is a notational convention that implies summation over a set of indexed terms in a formula, thus achieving brevity. As part of mathematics it is a notational subset of Ricci calculus; however, it is often used in physics applications that do not distinguish between tangent and cotangent spaces. It was introduced to physics by Albert Einstein in 1916.

- Semilinear map
- In linear algebra, particularly projective geometry, a semilinear map between vector spaces V and W over a field K is a function that is a linear map "up to a twist", hence semi-linear, where "twist" means "field automorphism of K". Explicitly, it is a
- Log semiring
- In mathematics, in the field of tropical analysis, the log semiring is the semiring structure on the logarithmic scale, obtained by considering the extended real numbers as logarithms. That is, the operations of addition and multiplication are defined by
- Laurent series
- In mathematics, the Laurent series of a complex function f(z) is a representation of that function as a power series which includes terms of negative degree. It may be used to express complex functions in cases where a Taylor series expansion cannot be
- 2-sided
- In mathematics, specifically in topology of manifolds, a compact codimension-one submanifold of a manifold is said to be 2-sided in when there is an
- K-frame
- In linear algebra, a branch of mathematics, a k-frame is an ordered set of k linearly independent vectors in a vector space; thus k ≤ n, where n is the dimension of the space, and if k = n an n-frame is precisely an ordered basis
- Exceptional isomorphism
- In mathematics, an exceptional isomorphism, also called an accidental isomorphism, is an isomorphism between members ai and bj of two families, usually infinite, of mathematical objects, that is not an example of a pattern of such isomorphisms. These
- Maps of manifolds
- In mathematics, more specifically in differential geometry and topology, various types of functions between manifolds are studied, both as objects in their own right and for the light they
- Negligible set
- In mathematics, a negligible set is a set that is small enough that it can be ignored for some purpose.
As common examples, finite sets can be ignored when studying the limit of a sequence, and null sets can be ignored when studying the integral of a
- Gradient-like vector field
- In differential topology, a mathematical discipline, and more specifically in Morse theory, a gradient-like vector field is a generalization of gradient vector field
- Inzer (surname)
- Inzer is a surname. People with that surname include:Drew Inzer, American football offensive lineman
James C. Inzer (1887–1967), 16th Lieutenant Governor of Alabama
William H. Inzer (1906–1978), Justice of the Supreme Court of