mathematics, a zero (also sometimes called a root) of a real-, complex-, or generally vector-valued function f {\displaystyle f} , is a member x {\displaystyle...

singularity of such a function (see essential singularity). Technically, a point z0 is a pole of a function f if it is a zero of the function 1/f and 1/f...

called zero elements.) Examples include identity elements of additive groups and vector spaces. Another example is the zero function (or zero map) on a domain...

contained the Riemann hypothesis, a conjecture about the distribution of complex zeros of the Riemann zeta function that many mathematicians consider...

The law of trichotomy states that every real number must be positive, negative or zero. The signum function denotes which unique category a number falls...

a loss function or cost function (sometimes also called an error function) is a function that maps an event or values of one or more variables onto a...

A zero-crossing is a point where the sign of a mathematical function changes (e.g. from positive to negative), represented by an intercept of the axis...

Unsolved problem in mathematics: Do all non-trivial zeroes of the Riemann zeta function have a real part of one half? (more unsolved problems in mathematics)...

element of the domain of a function, where the value of the function is zero Zero (complex analysis), a zero of a holomorphic function Zero element,...

that is, a polynomial function of degree zero or one. For distinguishing such a linear function from the other concept, the term affine function is often...

analysis, a root-finding algorithm is an algorithm for finding zeros, also called "roots", of continuous functions. A zero of a function f is a number x...

{\displaystyle X} is a real-valued function with only some of the properties of a seminorm. Unlike seminorms, a sublinear function does not have to be...

tends to some value. When a real function can be expressed as a fraction whose denominator tends to zero, the output of the function becomes arbitrarily large...

support of a real-valued function f {\displaystyle f} is the subset of the function domain containing the elements which are not mapped to zero. If the...

Dirac delta function (or δ distribution), also known as the unit impulse, is a generalized function on the real numbers, whose value is zero everywhere...

statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside of some chosen...

property, the zeros of the normalized sinc function are the nonzero integer values of x. The normalized sinc function is the Fourier transform of the rectangular...

is an absorbing element under Cartesian product of sets, since { } × S = { } The zero function or zero map defined by z(x) = 0 under pointwise multiplication...

quadratic function is a parabola. If a quadratic function is equated with zero, then the result is a quadratic equation. The solutions of a quadratic equation...

a critical point is the argument of a function where the function derivative is zero (or undefined, as specified below). The value of the function at...

function of the first kind is an entire function if α is an integer, otherwise it is a multivalued function with singularity at zero. The graphs of Bessel...

analytic function is a function that is locally given by a convergent power series. There exist both real analytic functions and complex analytic functions. Functions...

incomplete gamma function, which is defined as an integral from zero to a variable upper limit. Similarly, the upper incomplete gamma function is defined as...

continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing...

holomorphic except at zero and the negative integers, where it has simple poles. The gamma function has no zeros, so the reciprocal gamma function ⁠1/Γ(z)⁠ is an...

to the intuitive notion of adding a point at infinity, and requiring the values of the function to get arbitrarily close to zero as one approaches it. This...

– Mertens function zero 2095 – Mertens function zero 2096 – Mertens function zero 2097 – Mertens function zero 2099 – Mertens function zero, super-prime...

general, any cumulative distribution function of a continuous probability distribution that is peaked around zero and has a parameter that controls for variance...

The exponential function is a mathematical function denoted by f ( x ) = exp ⁡ ( x ) {\displaystyle f(x)=\exp(x)} or e x {\displaystyle e^{x}} (where...

zero, and the codomain is L. The set of rational functions over a field K is a field, the field of fractions of the ring of the polynomial functions over...