enow.com Web Search

Search results

1. Results from the WOW.Com Content Network

2. Seven-dimensional space - Wikipedia

   en.wikipedia.org/wiki/Seven-dimensional_space

   The 6-sphere or hypersphere in seven-dimensional Euclidean space is the six-dimensional surface equidistant from a point, e.g. the origin. It has symbol S6, with formal definition for the 6-sphere with radius r of. The volume of the space bounded by this 6-sphere is. which is 4.72477 × r7, or 0.0369 of the 7-cube that contains the 6-sphere.

3. Dimension - Wikipedia

   en.wikipedia.org/wiki/Dimension

   In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. [1][2] Thus, a line has a dimension of one (1D) because only one coordinate is needed to specify a point on it – for example, the point at 5 on a number line.

4. Monster group - Wikipedia

   en.wikipedia.org/wiki/Monster_group

   The minimal degree of a faithful complex representation is 47 × 59 × 71 = 196,883, hence is the product of the three largest prime divisors of the order of M. The smallest faithful linear representation over any field has dimension 196,882 over the field with two elements, only one less than the dimension of the smallest faithful complex representation.

5. List of mathematical shapes - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_shapes

   The elements of a polytope can be considered according to either their own dimensionality or how many dimensions "down" they are from the body. Vertex, a 0-dimensional element; Edge, a 1-dimensional element; Face, a 2-dimensional element; Cell, a 3-dimensional element; Hypercell or Teron, a 4-dimensional element; Facet, an (n-1)-dimensional element

6. Trace (linear algebra) - Wikipedia

   en.wikipedia.org/wiki/Trace_(linear_algebra)

   Trace (linear algebra) In linear algebra, the trace of a square matrix A, denoted tr (A), [1] is defined to be the sum of elements on the main diagonal (from the upper left to the lower right) of A. The trace is only defined for a square matrix (n × n). In mathematical physics texts, if tr (A) = 0 then the matrix is said to be traceless.

7. Dimension (vector space) - Wikipedia

   en.wikipedia.org/wiki/Dimension_(vector_space)

   Dimension (vector space) A diagram of dimensions 1, 2, 3, and 4. In mathematics, the dimension of a vector space V is the cardinality (i.e., the number of vectors) of a basis of V over its base field. [1][2] It is sometimes called Hamel dimension (after Georg Hamel) or algebraic dimension to distinguish it from other types of dimension.

8. Dimension theorem for vector spaces - Wikipedia

   en.wikipedia.org/wiki/Dimension_theorem_for...

   Dimension theorem for vector spaces. In mathematics, the dimension theorem for vector spaces states that all bases of a vector space have equally many elements. This number of elements may be finite or infinite (in the latter case, it is a cardinal number ), and defines the dimension of the vector space. Formally, the dimension theorem for ...

9. Real coordinate space - Wikipedia

   en.wikipedia.org/wiki/Real_coordinate_space

   In mathematics, the real coordinate space or real coordinate n-space, of dimension n, denoted Rn or , is the set of all ordered n -tuples of real numbers, that is the set of all sequences of n real numbers, also known as coordinate vectors. Special cases are called the real line R1, the real coordinate plane R2, and the real coordinate three ...