analytic function
101Minakshisundaram–Pleijel zeta function — The Minakshisundaram–Pleijel zeta function is a zeta function encoding the eigenvalues of the Laplacian of a compact Riemannian manifold. It was introduced by Subbaramiah Minakshisundaram and Åke Pleijel (1949). The case of a compact region… …
102Schwinger function — In quantum field theory, the Wightman distributions can be analytically continued to analytic functions in Euclidean space with the domain restricted to the ordered set of points in Euclidean space with no coinciding points. These functions are… …
103Quality function deployment — (QFD) was originally developed in Japan by Yoji Akao in 1966 when the author combined his work in quality assurance and quality control points with function deployment used in Value Engineering. Mr. Akao described QFD as a “method to transform… …
104Normal order of an arithmetic function — In number theory, the normal order of an arithmetic function is some simpler or better understood function which usually takes the same or closely approximate values. Let ƒ be a function on the natural numbers. We say that the normal order of ƒ… …
105Explicit formulae (L-function) — In mathematics, the explicit formulae for L functions are a class of summation formulae, expressing sums taken over the complex number zeroes of a given L function, typically in terms of quantities studied by number theory by use of the theory of …
106Hardy-Littlewood maximal function — In mathematics, the Hardy Littlewood maximal operator M is a significant non linear operator used in real analysis and harmonic analysis. It takes a function f (a complex valued and locally integrable function) : f:mathbb{R}^{d} ightarrow… …
107Almost periodic function — In mathematics, almost periodic functions are functions of a real number that are periodic up to a small error, first studied by Harald Bohr. There are generalizations to almost periodic functions on locally compact abelian groups. Almost… …
108Prime zeta function — In mathematics, the Prime zeta function is an analogue of the Riemann zeta function. It is defined as the analytic continuation to mathbb{C} of the following infinite series, which converges for Re(s) > 1:P(s)=sum {p,inmathrm{,primes… …
109Bidirectional reflectance distribution function — The bidirectional reflectance distribution function (BRDF; {f r(omega i , omega o) }) is a 4 dimensional function that defines how light is reflected at an opaque surface. The function takes an incoming light direction, omega i , and outgoing… …
1101s Slater-type function — A normalized 1s Slater type function is a function which has the form:psi {1s}(zeta, mathbf{r R}) = left(frac{zeta^3}{pi} ight)^{1 over 2} , e^{ zeta |mathbf{r R}. [cite book last = Attila Szabo and Neil S. Ostlund first = title = Modern Quantum… …
