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Large basis sets lead to large integral lists (if ''m'' is the total number of GTOs, the length of the list is prop ...wo different electrons). A four-center integral is reduced to a two-center integral by application of the Gaussian product rule.

...ement of air, is a [[meteorology|meteorological]] phenomenon that plays an integral part in activities ranging from the production of [[electricity]] to the cr

...ull-fledged dramatic musical plays, in which music, singing and dance were integral, rather than ancillary to the story. Prior to the Rodgers and Hammerstein

...that a strict <math>1/f</math> spectrum satisfies this if we calculate the integral,

...year are '''luni-solar calendars''', while calendars which are based on an integral number of lunar months and do not keep synchronized with the solar year are

...hbf{S}</math> is the current ''di'' through ''d''<b>S</b> and the surface integral is the total current ''i'' through ''S''. Hence,

...orm of the ''S''-unit equation: a notable example is [[Siegel's theorem on integral points]] on curves.

...plicitly follow it form the periodic part). The same is true for any other integral base above one, and is also true when rational numbers are considered to be ...ivalent in the above sense. (This construction can be carried out in any [[integral domain]]: see [[field of fractions]].)

...ure on the surface of the object. This technique can be imitated by [[line integral convolution]] (LIC) on computers.

Character development is integral to this [[situation comedy|sitcom]]. The characters include:

...ccess July 27, 2020</ref> which, together with the Christian [[Bible]], is integral to [[Christian Science]] worship and practice. It was revised over the las

Noether's theorem says that there is a first integral (that is, a preserved quantity) associated with every symmetry. ''is a first integral.''

In [[physics]], a '''boson''' is an [[elementary particle]] with integral [[spin]]. According to the [[Pauli spin statistics postulate]], systems of ...kind of statistics, now called the Bose-Einstein statistics. (Photons have integral spin 1.)

...are defined. The total force between two loops is given by the double path integral over the loops ...&times;) indicate [[vector product]]s. The integrand [expression under the integral of Eq. (2)] follows from the [[Biot-Savart's law|Biot-Savart-Laplace]] expr

...tp://www.simeio.org/pages/details/papers/papers_pool/intbiomath.pdf |title=Integral biomathics: A post-Newtonian view into the logos of bios |journal=Progress

...to unity. In the computation we will use the [[bra-ket notation]] for the integral over ''x''_''A''1, ''y''_''A''1, and ''z''<sub>''A''1</ We used here that the AOs are normalized to unity and that the overlap integral is real

Apart from a factor, the electromagnetic momentum is an integral over the [[Poynting vector]]. is a surface integral over [[Maxwell's stress tensor]]. The fact that the mechanical and the elec

...y, a [[proof that &pi; is irrational]] that requires no knowledge beyond [[integral calculus]] was discovered.

...tom B, this [[bra-ket notation|bra-ket]] is a ''two-center'' integral, an integral over <math>\scriptstyle \mathbb{R}^3</math> in which the integrand is expre ...ral is either a ''one-center'' integral (if ''A'' = ''B'') or a two-center integral (if ''A'' &ne; ''B'').

It is an integral component of the [[LAMP|'''LAMP''']] application stack