### Definition of Inner product

1. Noun. A real number (a scalar) that is the product of two vectors.

Exact synonyms: Dot Product, Scalar Product
Generic synonyms: Real, Real Number

### Definition of Inner product

1. Noun. (linear algebra) A generalization of the dot product for vectors of any dimensionality that may or may not be complex-numbered. ¹

¹ Source: wiktionary.com

### Lexicographical Neighbors of Inner Product

 inner childreninner circleinner citiesinner cityinner coreinner dental epitheliuminner diameterinner diametersinner earinner ears inner malleolusinner membraneinner peaceinner planetinner planetsinner product (current term)inner productsinner regularinner resourcesinner salt inner sheathinner strengthinner table of skullinner tubeinner tubesinner workingsinnerbeltinnerbeltsinnercityinnerduce

### Literary usage of Inner product

Below you will find example usage of this term as found in modern and/or classical literature:

1. Analytic Statistical Models by Ib M. Skovgaard (1990)
"A real vector space equipped with an inner product is called a Euclidean space. ... Similarly we shall speak, slightly incorrectly, of an inner product ..."

2. The Theory of General Relativity and Gravitation: Based on a Course of by Ludwik Silberstein (1922)
"The outer multiplication combined with contraction (when there are indices to contract) gives the inner product. Thus the inner product of At and B" is ..."

3. Cartanian Geometry, Nonlinear Waves, and Control Theory. by Robert Hermann (1980)
"8.6 determines the inner product completely in inn BF ( ... be a real vector space with a positive definite inner product < , > • There is another Vector ..."

4. The Theory of the Relativity of Motion by Richard Chace Tolman (1917)
"inner product of Vectors in General. We have previously defined the inner ... We may now give a general rule for the inner product of vectors of any number ..."

5. The Encyclopaedia Britannica: A Dictionary of Arts, Sciences, Literature and (1910)
"The symbol AB, from this point of view, is called the inner product of A and B, ... An inner product may be either progressive or regressive. ..."

6. Real Analysis by Andrew M. Bruckner, Judith B. Bruckner, Brian S. Thomson (1997)
"Specifically, then, a Hilbert space is an inner product space that is ... Notice first the linearity of an inner product in the first variable: (Ai/i + A2/2 ..."