is called a Greco–Latin or Euler square; its elements are all the $ n ^ {2} $
An example of a pair of orthogonal Latin squares and their Euler square for $ n = 3 $
17 KB (2,485 words) - 12:08, 21 March 2022
defines the hydrodynamic equations of an ideal fluid (the Euler equations). These are the existence conditions for a first approximation to
6 KB (917 words) - 16:43, 4 June 2020
...unction for all the Hecke operators, then $L ( s )$ has an [[Euler product|Euler product]]. There are also converse theorems. The result is that many of the
13 KB (1,907 words) - 07:36, 22 March 2023
is the [[Euler function]]. Instead of "numerical character modulo q" one also sees the p
6 KB (921 words) - 19:40, 29 March 2024
...d></tr><tr><td valign="top">[a5]</td> <td valign="top"> W.-H. Steeb, N. Euler, "Nonlinear evolution equations and Painlevé test" , World Sci. (1988)<
8 KB (1,072 words) - 17:02, 1 July 2020
[[Bernoulli, Daniel|Daniel Bernoulli]], Clairaut and Euler, who gave as good as they
mathematics by Euler and Lagrange,`` geometers" who were perhaps more
11 KB (1,657 words) - 20:48, 21 December 2023
...hich is a necessary condition that generalizes the necessary conditions of Euler, Clebsch and Weierstrass, used in classical variational calculus.
7 KB (997 words) - 08:25, 6 June 2020
Many results obtained previously by P. Fermat, L. Euler, J.L. Lagrange, and others, and also the [[Chinese remainder theorem|Chines
...so reckons the theory of partitions, the foundations of which were laid by Euler (in 1751). One of the basic problems of the theory of partitions is the stu
13 KB (2,043 words) - 20:28, 13 October 2014
...model for this procedure was the definition of the [[Euler characteristic|Euler characteristic]]). However, this method has not achieved much popularity; f
16 KB (2,377 words) - 08:06, 6 June 2020
...with determinant 1 (or in some other, equivalent, way; cf. [[Euler angles|Euler angles]]; [[Cayley–Klein parameters|Cayley–Klein parameters]]). Accordi
...gles; the equation of motion is in this case known as the [[Euler equation|Euler equation]] (of motion of a solid body).
27 KB (4,058 words) - 19:36, 5 June 2020
...) and WAF (bottom) extensions of the Lax–Wendroff method as applied to the Euler equations of gas dynamics for ideal gases. Numerical (symbol) and exact (li
...formance of the method can be illustrated by the numerical solution of the Euler equations of gas dynamics for an ideal gas in a domain $[ 0,1 ]$, with init
16 KB (2,341 words) - 19:00, 26 March 2023
The Yang–Mills equation is the Euler–Lagrange variational equation for the functional $ L ( \nabla ) $
...espectively, the Euler–Poincaré characteristic (cf. [[Euler characteristic|Euler characteristic]]) and the [[Signature|signature]] of $ M ^ {4} $.
14 KB (2,063 words) - 02:45, 18 July 2022
and for which the boundary condition (2) is met (equation (1) is the Euler equation for the functional $ K ( u) $).
7 KB (969 words) - 17:33, 5 June 2020
...which are suitable for any moment of time (e.g., the periodic solutions of Euler and Lagrange, [[#References|[1]]]). The general properties of the [[Three-b
7 KB (1,018 words) - 07:37, 15 July 2014
...at the [[Jacobi elliptic functions|Jacobi elliptic functions]] satisfy the Euler addition formula
Accordingly, one defines the Euler formal group law $ F ( U,V ) \in K [ [ U,V ] ] $
16 KB (2,293 words) - 19:37, 5 June 2020
...ves in work by Jacob and Johann Bernoulli, G.C. Fagnano dei Toschi, and L. Euler, who at the end of the 17th century and the beginning of the 18th century l
11 KB (1,593 words) - 19:37, 5 June 2020
...</td></tr><tr><td valign="top">[a6]</td> <td valign="top"> G. Shimura, "Euler products and Eisenstein series" , Amer. Math. Soc. (1997) pp. Sect. 11</t
6 KB (1,050 words) - 00:38, 15 February 2024
Euler's ''Theory of Numbers''. Buniakovsky lectured on probability theory at
12 KB (1,774 words) - 20:00, 7 March 2024
...ever, it must be noted that the formula is already present in the works of Euler and other mathematicians of the 18th century.
6 KB (926 words) - 13:28, 26 February 2014
...','Zeta-function','../z/z099260.htm')" style="background-color:yellow;">L. Euler was the first to employ charts (curvilinear coordinates) on surfaces in geo
7 KB (1,075 words) - 16:43, 4 June 2020