Normal (mathematics) || has both the normal
Published July 23rd, 2007 in UncategorizedIn mathematics, normal can have several meanings:
- Surface normal, a line that is perpendicular to a surface.
- Normal component, the component of a vector that is perpendicular to a surface.
- Normal curvature, of a curve on a surface, the component of curvature that is normal to the surface
- Normal distribution, a type of probability distribution in probability theory and statistics.
- Normal extension, in abstract algebra, a certain type of algebraic field extensions.
- Normal equations, for linear least squares, a model fitting technique using projection matrices.
- Normal family, a pre-compact family of holomorphic functions.
- Normal function, a continuous strictly increasing function from ordinals to ordinals.
- Normal matrix, a matrix which commutes with its conjugate transpose.
- Normal mode, a special type of solution in an oscillating system.
- Normal morphism, is a morphism that arises as the kernel or cokernel of some other morphisms.
- Normal number (computing), a number that is within the normal range of a floating-point format.
- Normal number, a number whose digit sequence is random.
- Normal operator, a linear operator on a Hilbert space that commutes with its adjoint.
- Normal ring, a ring that is its own integral closure in its field of fractions.
- Normal space, a topological space in which disjoint closed sets can be separated by disjoint neighborhoods.
- Normal subgroup, a subgroup that is invariant under conjugation in abstract algebra.
- Normal polytope, a lattice polytope in which dilation of points is given by summing lattice points.
- Normal measure, a particular type of measure on a measurable cardinal.
Some closely related terms are:
- Normalizing constant, a constant which scales a mathematical object so that its “size” is equal to one.
- Unit vector, a vector which has been scaled in such a manner.
- Orthonormality: two vectors are said to be orthonormal if they are both orthogonal to each other and unit vectors.
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