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Note: the US Census treats Hispanic/Latino as an ethnic category. This table excludes Latinos from the racial categories and assigns them to a separate category. Hispanics/Latinos may be of any race. Race / Ethnicity (NH = Non-Hispanic) Pop 2000 [64] Pop 2010 [65] Pop 2020 [66] % 2000 % 2010 % 2020 White alone (NH) 6,766 5,850 7,537 50.11% 48. ...
The numbers R(r, s) in Ramsey's theorem (and their extensions to more than two colours) are known as Ramsey numbers. The Ramsey number R ( m , n ) gives the solution to the party problem, which asks the minimum number of guests, R ( m , n ) , that must be invited so that at least m will know each other or at least n will not know each other.
The colour centre is a region in the brain primarily responsible for visual perception and cortical processing of colour signals received by the eye, which ultimately results in colour vision.
A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the "imaginary unit", that satisfies i 2 = −1.
Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The n th triangular number is the number of dots in the triangular arrangement with n dots on each side, and is equal to the sum of the n natural numbers from 1 to n .
The trigonometric functions rely on angles, and mathematicians generally use radians as units of measurement. π plays an important role in angles measured in radians, which are defined so that a complete circle spans an angle of 2 π radians. The angle measure of 180° is equal to π radians, and 1° = π /180 radians. [152]
In mathematics, the Lie product formula, named for Sophus Lie (1875), but also widely called the Trotter product formula, [1] named after Hale Trotter, states that for arbitrary m × m real or complex matrices A and B, [2] + = (/ /), where e A denotes the matrix exponential of A.
Analogously, a line segment PD through some point D on AB extended bisects the corresponding exterior angle BPQ where Q is on AP extended. Since the interior and exterior angles sum to 180 degrees, the angle CPD is exactly 90 degrees; that is, a right angle. The set of points P such that angle CPD is a right angle forms a circle, of which CD is ...