Results 151 to 160 of about 606 (166)
Some of the next articles are maybe not open access.
Corrected Euler-Maclaurin’s formulae
Rendiconti del Circolo Matematico di Palermo, 2005The aim of this paper is to derive corrected Euler-Maclaurin's formulae, i.e. open type quadrature formulae where the integral is approximated not only with the values of the function in points (5a+b)/6, (a+b)/2 and (a+5b)/6, but also with values of the first derivative in end points of the interval.
Iva Franjić, Josip Pečarić
openaire +3 more sources
Three applications of Euler’s formula
1998A graph is planar if it can be drawn in the plane ℝ2 without crossing edges (or, equivalently, on the 2-dimensional sphere S 2). We talk of a plane graph if such a drawing is already given and fixed. Any such drawing decomposes the plane or sphere into a finite number of connected regions, including the outer (unbounded) region, which are referred to ...
Günter M. Ziegler, Martin Aigner
openaire +2 more sources
The Mathematical Gazette, 1949
The most surprising thing about this formula is its use of the Bernoulli numbers, and it is natural to ask why they appear. The answer is that it is not the B’s which insist on entry, but the numbers Ar = Br/r!. We use the notation where all other B with odd subscripts vanish, and those with even subscripts are alternately positive and negative.
openaire +2 more sources
The most surprising thing about this formula is its use of the Bernoulli numbers, and it is natural to ask why they appear. The answer is that it is not the B’s which insist on entry, but the numbers Ar = Br/r!. We use the notation where all other B with odd subscripts vanish, and those with even subscripts are alternately positive and negative.
openaire +2 more sources
International Journal of Mathematical Education in Science and Technology, 2001
A formula for tilings of a rectangle, analogous to Euler's formula for polyhedra, is discussed, with particular reference to how it may be used in a classroom investigation.
openaire +2 more sources
A formula for tilings of a rectangle, analogous to Euler's formula for polyhedra, is discussed, with particular reference to how it may be used in a classroom investigation.
openaire +2 more sources
Panamerican mathematical journal, 2001
Modified versions of the Euler-Simpson formula, for Lipschitzian functions, functions of bounded variation and functions with derivatives in L_p-spaces, are given and applied to prove some inequalities and quadrature formulae.
Pečarić, Josip +2 more
openaire +1 more source
Modified versions of the Euler-Simpson formula, for Lipschitzian functions, functions of bounded variation and functions with derivatives in L_p-spaces, are given and applied to prove some inequalities and quadrature formulae.
Pečarić, Josip +2 more
openaire +1 more source
On the derivation of Euler's formula
International Journal of Mathematical Education in Science and Technology, 1975(1975). On the derivation of Euler's formula. International Journal of Mathematical Education in Science and Technology: Vol. 6, No. 3, pp. 381-382.
openaire +2 more sources
On Euler’s stretching formula in continuum mechanics
Acta Mechanica, 2012The Lie time-derivative of the material metric tensor field along the motion is the proper mathematical definition of the physical notion of strain rate or stretching. Its expression, as symmetric part of the velocity gradient in Euclid space, is provided by a celebrated formula conceived by the genius of Leonhard Euler around the middle of the ...
G. Romano, BARRETTA, RAFFAELE
openaire +2 more sources
The American Mathematical Monthly, 1936
(1936). An Euler Summation Formula. The American Mathematical Monthly: Vol. 43, No. 1, pp. 9-21.
openaire +2 more sources
(1936). An Euler Summation Formula. The American Mathematical Monthly: Vol. 43, No. 1, pp. 9-21.
openaire +2 more sources
Euler’s method for weighted integral formulae
Applied Mathematics and Computation, 2008We consider the weighted quadrature formulae using some Euler type identities. The results are applied to obtain some error estimates for the Chebyshev- Gauss formulae of the first and the second kind.
Ana Vukelić +2 more
openaire +3 more sources
Matematika i škola, 2003
U radu se istražuje Eulerova formula koja povezuje broj vrhova, bridova i strana konveksnog poliedra, te navode neka njena poopćenja.
openaire +1 more source
U radu se istražuje Eulerova formula koja povezuje broj vrhova, bridova i strana konveksnog poliedra, te navode neka njena poopćenja.
openaire +1 more source