 About 15,300 results  books.google.com ... definition of Euler. Taking the righthand diagonal, we obtain different numbers,
namely, the normalized Bernoulli numbers. ... It is hard to compute the Euler and
Bernoulli numbers separately, while the whole triangle is computed very easily. 

 books.google.com Euler published a proof of the following more general theorem in 1736. Let <£(«)
denote the TOTIENT ... Amazingly, the ZTRANSFORMS of f Tnz Tnz dx" \z  e~>
are generators for Euler's triangle. A SPHERICAL ... EulerBernoulli Triangle ... 

 books.google.com 3) possesses many remarkable properties. The lefthand side of this triangle is
called the Bernoulli side, and the righthand side is the Euler side 1. An entry of
the Bernoulli–Euler triangle also enumerates paths from the vertex of the triangle
to ... 

 books.google.com Semen Grigorʹevich Gindikin, Ėrnest Borisovich Vinberg, Evgeniĭ Borisovich Dynkin  1995  Preview  More editions We formulate here only three of them. 1. Could one give the explicit formula for
akj(q, t) or for an appropriate generating function? We observe that in the case q
= 2, t = 1 our generalized EulerBernoulli triangle becomes the usual one and the
... 

 books.google.com It was shown in [KilO] that the beginning terms of the sequence {P7,} written
above (and even more detailed information about the orbits) can be obtained by
a variant of the socalled Euler—Bernoulli triangle (cf. [Ar1]). But in the seventh
row of ... 

 books.google.com The secanttangent triangle. nonzero entries on the left are the secant numbers (
A364): 1, 1, 5, 61, 1385, 50521, 2702765, and those on ... The earliest reference I
have seen to this triangle is Arnold [2], who calls it the EulerBernoulli triangle. 

 books.google.com ... 21 CVB element, 28 Extended CCB element, 87 Rotationfree plate triangles,
273, 274 BPN element, 282 BPT element, ... Shape functions 2noded Euler
Bernoulli beam el., 7 2noded Timoshenko beam el., 43 C◦ triangle and
quadrilateral, ... 

 books.google.com Euler line, 121, 122 Euler load, 315 Euler method, 176 Euler ninepoint circle,
121, 123, 126 Euler numbers, 220, 222 Euler osculating ... 164 Euler sigma
function, 64 Euler theorem, 68, 102, 104, 124, 147–150, 182 Euler transform, 268
, 269 Euler triangle inequality, 124 ... 96, 101, 126, 134, 137, 146, 183, 184, 187,
190, 215, 220, 236, 237, 249, 266, 275, 282, 283, 289, 301, 349, 356 Euler–
Bernoulli ... 

 books.google.com The numbers Et occurring in the expansion of sec are called Euler numbers: .10
12 3 4 E,  1 1 5 01 1385 The ... To calculate the Euler and Bernoulli numbers
quickly, it is convenient to use the classical Euler — Bernoulli triangle, similar to
the ... 

 books.google.com On 24 May 1738 DANIEL BERNOULLI writes to EULER that certain mechanical
problems lead him to wish to find among all isoperimetric ... 131) that a string
deformed into a triangle will assume the form of a sine curve after a few vibrations
. 

 