A continued fraction is an expression of the form
are finite or infinite sequences of complex numbers. Instead of the expression (1) one also uses the notation
11 KB (1,649 words) - 11:41, 4 September 2013
the expression for the scalar product of a vector with itself is a semi-definite quadratic
3 KB (376 words) - 20:16, 10 January 2024
...toroidal harmonic or a surface toroidal harmonic, this in contrast with the expression (*) which, as a function of the three variables $ ( \sigma , \tau , \phi
3 KB (366 words) - 09:57, 10 March 2021
...ated by $ u $ and $ v $ is free. The Campbell-Hausdorff formula provides an expression for $ u \circ v $ as a power series in $ u $ and $ v $:
The first investigation of the expression $ w $ is due to J.E. Campbell. F. Hausdorff ([[#References|[2]]]) proved th
6 KB (1,020 words) - 17:41, 4 May 2017
The expression between square brackets in (4) can be rewritten in the form
In an extremal field the expression (5) is the total differential of some function of $ x , y _ {1} \dots y _
8 KB (1,167 words) - 20:20, 10 January 2024
The expression $ \delta f( x _ {0} , h) $
3 KB (391 words) - 14:29, 15 April 2023
...nomials of degree $m$ — for example, the real and the imaginary part of the expression $(x_1+ix_2)^m$. If $n=3$, the number of linearly independent homogeneous po
2 KB (365 words) - 13:05, 14 February 2020
The differential expression
3 KB (443 words) - 11:10, 30 December 2018
The expression $b^2-4ac$ is called the [[Discriminant|discriminant]] of the equation. It i
2 KB (384 words) - 07:34, 18 December 2014
...eir world lines time-like geodesics or isotropic geodesics. This fact is an expression of the [[Law of inertia|law of inertia]] in relativity theory.
3 KB (393 words) - 08:10, 6 June 2020
...d elementary positive-definite kernels with respect to a given differential expression [[#References|[1]]].
3 KB (383 words) - 08:07, 6 June 2020
A formula giving an expression for the derivative of a [[Trigonometric polynomial|trigonometric polynomial
3 KB (397 words) - 20:25, 10 January 2021
and an expression of the form $ B _ {N} A ( B _ {N} ( \lambda - \lambda _ {0} ) ) $.
3 KB (480 words) - 08:22, 6 June 2020
and the expression for the Larmor radius takes the form
3 KB (435 words) - 12:41, 1 November 2023
An expression of the type
8 KB (1,155 words) - 17:43, 6 January 2024
In the semantics adopted by [[#References|[a3]]], every expression of a theory $ {\mathcal T} $
...ermined in an essentially unique way and depend on the formal aspect of the expression and on valuation of the constants and variables occurring in it. Therefore,
17 KB (2,488 words) - 06:37, 26 March 2023
...tudes are neglected, and the deformation tensor \eqref{*} is defined by the expression:
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take only a finite number of values, the expression for $ I ( \xi , \eta ) $
4 KB (517 words) - 16:27, 6 January 2024
be a formal self-adjoint differential expression on the interval $ ( a, b) $,
be an elliptic differential expression of the second order in a region $ G $
20 KB (2,924 words) - 19:38, 5 June 2020
...formed on $x_1,\dots,x_n$" ; let $ y (x _{1} \dots x _{n} ) $ denote the expression in quotation marks. Secondly, there is the decomposition of the object doma
...$ and $ \exists v \ (v \in x \ \& \ \phi ) $ , respectively, and the expression $ u \subseteq v $ is an abbreviation for $ \forall z \ (z \in u \ \s
8 KB (1,261 words) - 20:30, 13 December 2019