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Rarely used in modern mathematics without a horizontal bar delimiting the width of its argument (see the next item). For example, √2. √ (radical symbol) 1. Denotes square root and is read as the square root of. For example, +. 2. With an integer greater than 2 as a left superscript, denotes an n th root.
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]
An imaginary number is the product of a real number and the imaginary unit i, [note 1] which is defined by its property i 2 = −1. [1] [2] The square of an imaginary number bi is −b 2. For example, 5i is an imaginary number, and its square is −25. The number zero is considered to be both real and imaginary. [3]
The imaginary unit or unit imaginary number (i) is a mathematical constant that is a solution to the quadratic equation x 2 + 1 = 0. Although there is no real number with this property, i can be used to extend the real numbers to what are called complex numbers , using addition and multiplication .
This is a list of axioms as that term is understood in mathematics. In epistemology , the word axiom is understood differently; see axiom and self-evidence . Individual axioms are almost always part of a larger axiomatic system .
The first polynomial is divisible by x 2 − 1 when n is odd and by x − 1 when n is even. It has one other real zero, which is a PV number. It has one other real zero, which is a PV number. Dividing either polynomial by x n gives expressions that approach x 2 − x − 1 as n grows very large and have zeros that converge to φ .
Visual proof of the Pythagorean identity: for any angle , the point (,) = (, ) lies on the unit circle, which satisfies the equation + =.Thus, + =. In mathematics, an identity is an equality relating one mathematical expression A to another mathematical expression B, such that A and B (which might contain some variables) produce the same value for all values of the variables ...
lb – binary logarithm (log 2). (Also written as ld.) lcm – lowest common multiple (a.k.a. least common multiple) of two numbers. LCHS – locally compact Hausdorff second countable. ld – binary logarithm (log 2). (Also written as lb.) lsc – lower semi-continuity. lerp – linear interpolation. [5] lg – common logarithm (log 10) or ...