denotes that the entire expression before it is to be rewritten with the indices $ j $
Consequently, the geodesics in such a space have the local expression $ {\overline{x}\; } ^ {i} = a ^ {i} s + b ^ {i} $,
10 KB (1,411 words) - 10:58, 29 May 2020
The expression obtained after simplification is:
3 KB (465 words) - 08:28, 6 June 2020
...</TR><TR><TD valign="top">[1b]</TD> <TD valign="top"> J.C. Burkill, "The expression of area as an integral" ''Proc. London Math. Soc. (2)'' , '''22''' (1924)
3 KB (563 words) - 09:54, 27 November 2018
A quantitative expression for the error of an approximation. When the discussion is about the approxi
4 KB (599 words) - 07:22, 26 March 2023
the required orthonormal system is obtained. An explicit expression of the vectors $ b _ {i} $
4 KB (542 words) - 08:33, 13 May 2022
The expression
3 KB (504 words) - 08:28, 6 June 2020
An abbreviated notation for the expression
3 KB (550 words) - 10:36, 23 May 2017
is an expression of the type $ ( \omega ) = P _ {1} ^ {\alpha _ {1} } {} \dots P _ {n} ^ {
conversely, the expression $ \omega = R (z, w) dz $
11 KB (1,603 words) - 16:08, 1 April 2020
...is denoted by $x$. For a ''multiindex'' $\a=(\a_1,\dots,\a_n)\in\Z_+^n$ the expression $x^\a$ denotes the product, $x_\a=x_1^{\a_1}\cdots x_n^{\a_n}$. Other expre
3 KB (512 words) - 06:16, 13 June 2022
This proves, in particular, that not every expression
...o variables. This is a difference from functions of one variable, where any expression $ A ( x) d x $
15 KB (2,211 words) - 11:44, 26 March 2023
...lass operator (cf. also [[Nuclear operator|Nuclear operator]]). An explicit expression for $E ( a )$ is not known yet (as of 2000), apart from special cases relat
...{ r } ^ { 2 } - \beta _ { r } ^ { 2 } )$. An explicit, but more complicated expression is known for the constant $E$. It has turned out that in some cases the Fis
13 KB (1,838 words) - 07:22, 13 February 2024
...interfacial energy or surface tension. To first order in an expansion, the expression for the total free energy takes the form
...abelled $c _ { \alpha }$ and $c _ { \beta } > c _ { \alpha }$. A similar expression for free energy was introduced much earlier by J.D. van der Waals in [[#Ref
11 KB (1,642 words) - 16:59, 1 July 2020
the last expression in \eqref{a7} would follow also from \eqref{a4} in light of the definition
4 KB (577 words) - 14:03, 11 November 2023
commute under multiplication, then the expression
4 KB (598 words) - 05:33, 19 March 2022
...algebraically in $x$, $\ln x$ and $e^x$ up to order $x\ln^{-n}x$, then the expression must be \eqref{*}. After this, Chebyshev introduced two new distribution fu
3 KB (542 words) - 16:58, 14 February 2020
is the effective frequency of pulse transmission, defined by the expression:
4 KB (585 words) - 08:27, 6 June 2020
An approximate expression for the error is given by the quantity
4 KB (538 words) - 17:45, 20 January 2022
by a linear expression in $ h $,
6 KB (918 words) - 19:35, 5 June 2020
i.e. the expression
6 KB (840 words) - 16:48, 20 January 2024
Mathematical probability is an expression of the qualitatively specific relation between random and non-random events
...lity of certain statements concerning individual events is no longer a mere expression of the subjective belief that the event will or will not take place. Such a
9 KB (1,350 words) - 18:22, 27 May 2012