Augustus De Morgan, Bern Dibner,
... with Section: Elementary Illiustrations of the Differential and Integral Calculus; First Issued in 25 Parts, July 15, ...
1842 - Gale Group | NCCO SciTechMed 2 of 2
... to explain what is meant by an asyzygetic integral and by an irreducible integral. Attending for greater simplicity only to a single ... it is assumed that the system admits of integrals of the form u = P, u = Q, &c., or as we may express it, of integrals P, Q, &c., where P, Q, &c. are rational and integral homogeneous functions of the set ( a , b , c ...), ... system is such that P, Q, &c. being integrals, ϕ (P, Q..) is also an integral. Then considering only the integrals which are rational and integral homogeneous functions of ...
Tópico(s): Mathematical and Theoretical Analysis
1856 - Royal Society | Philosophical Transactions of the Royal Society of London
Directory of Open Access Journals (DOAJ)
Augustus De Morgan, Bern Dibner,
... with Section: Elementary Illiustrations of the Differential and Integral Calculus.; First Issued in 25 Parts, July 15, ...
1842 - Gale Group | NCCO-STM 1of2
... time been evident that the extension of the Integral Calculus would require the introduction of new functions; ... considered known. Thus, in the evaluation of Definite Integrals, the three transcendents ∫ x 0 sin u / u ... x ∞ e -u / u du , called the sine-integral, the cosine-integral, and the exponential-integral, have become recognized elementary ...
Tópico(s): Iterative Methods for Nonlinear Equations
1870 - Royal Society | Philosophical Transactions of the Royal Society of London
Francis Maseres, Jakob Bernoulli, John Wallis,
Includes the Latin Text with English Translation of the Preface and the First Three Chapters of the Second Part of the "Ars Conjectandi." Grace K. Babson ...
1795 - Gale Group | NCCO-STM 1of2
Michael P. Barnett, C. A. Coulson,
... A new technique is developed for evaluating the integrals which occur in molecular theory. The method is ... of these £ functions needed for the two-centre integrals. A table is provided of the I ’s ... account is given of the properties of certain integrals of the £ functions and some numerical examples are ... two-centre, one-electron Coulomb, overlap and resonance integrals, for the two-electron Coulomb and hybrid (Coulomb-exchange) integrals, and for the penetration integrals. Formulae are listed for more than 180 distinct ...
Tópico(s): Thermal and Kinetic Analysis
1951 - Royal Society | Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences
Springer Link
... statement that Jerusalem is and should remain an integral part of Israel. 1949. FO 371/75355-0028. ...
1949 - Gale Group | ArchivesUnbound Arabi Israeli
Lebesguet has shown how to treat the Riemann integral by studying the content of an associated point ... attempt in the same direction for the Stieltjes integral.A pair of conditions are found which are necessary and sufficient for the existence of the integral, one of which concerns itself with the associated ... is automatically satisfied for a large class of integrals comprising (1) those for which the associated point ... closed curve must be squarable if its line integral J y dx exists.Among the examples given ...
Tópico(s): Iterative Methods for Nonlinear Equations
1925 - American Mathematical Society | Transactions of the American Mathematical Society
US recognition of Alsace Lorraine as an integral part of France. Part 5A. France. 01/09/1944. FO 371/42079-0001. English. PLACE Null. Book.
1944 - Gale Group | ArchivesUnbound Western Europe
Lebesguet has shown how to treat the Riemann integral by studying the content of an associated point ... attempt in the same direction for the Stieltjes integral.A pair of conditions are found which are necessary and sufficient for the existence of the integral, one of which concerns itself with the associated ... is automatically satisfied for a large class of integrals comprising (1) those for which the associated point ... closed curve must be squarable if its line integral J y dx exists.Among the examples given ...
Tópico(s): Nonlinear Differential Equations Analysis
1925 - American Mathematical Society | Transactions of the American Mathematical Society
Springer Link
... T. I] Calcul Différentiel. 1864.--[T. Ii] Calcul Intégral. Intégrales Définies Et Indéfinies. 1870.; The Burndy Library ...
1870 - Gale Group | NCCO-STM 1of2
Gen-ichirô Sunouchi, Masatomo Utagawa,
... the inverse of those derivatives, approximately continuous Perron integral and CesΓiro-Perron integral are defined by J.C. Burkill [ΊΠ, [2j, ... the Perron method.In the definitions of these integrals, he assumed the contintity property of upper and ... Recently S. Saks (3^} defined the ordinary Perron integral without using any continuity property of the upper ... functions, and proved the continuity of the indefinite integral.Hence it arises the problem, whether the notion ... and lower functions are superfluous in the Burkill integrals or not.We will, in this paper, answer ...
Tópico(s): Advanced Numerical Analysis Techniques
1949 - Tohoku University | Tohoku Mathematical Journal
... T. I] Calcul Différentiel. 1864.--[T. Ii] Calcul Intégral. Intégrales Définies Et Indéfinies. 1870.; The Burndy Library ...
1864 - Gale Group | NCCO-STM 1of2
Roland S. Barker, Henry Eyring, C. J. Thorne, D.A. Baker,
... and approximate methods for the evaluation of certain integrals have recently been widely applied with considerable success. ... calculations have evaluated the difficult multicentered electron repulsion integrals by use of an approximate formula suggested by Mulliken, in terms of Coulombic and overlap integrals. Previous work has indicated the general utility of ... and approximate values of the multicenter 1s orbital integrals. The comparisons indicate that this approximation of integrals is moderately accurate over a wide range of ...
Tópico(s): Advanced Physical and Chemical Molecular Interactions
1954 - American Institute of Physics | The Journal of Chemical Physics
Joseph Alfred Serret, Bern Dibner,
Provenance: Donated by Bern Dibner.; The Burndy Library Collection at the Huntington Library. Book.
1879 - Gale Group | NCCO SciTechMed 2 of 2
W. V. D. Hodge, Michael Atiyah,
... of rational functions on a curve, and their integrals, was generalised by Picard to give a theory of functions and their integrals on an algebraic surface, in an extensive series ... book is devoted to the theory of double integrals of the second kind and their relation with the simple integrals of the third kind. Later, Lefschetz took up ... clarify the nature of the possible singularities of integrals and so obtain a simplified version of the theory of integrals of the second kind. An account of his ... carried the work over to the study of integrals on a variety of three dimensions [111, and ...
Tópico(s): History and Theory of Mathematics
1955 - Princeton University | Annals of Mathematics
François Napoléon Marie Moigno, Baron Augustin Louis Cauchy, Lorenz Lindelöf, Bern Dibner,
Includes Bibliographical References.; First Volume (Vol. 4, Fasc. 1) of a Projected 5 Volume 2nd Edition of Moigno's 1840-44 1st Edition (in 2 Vols.), With ...
1861 - Gale Group | NCCO SciTechMed 2 of 2
Klaus Ruedenberg, Clemens Roothaan, Walter Jaunzemis,
The problem of the two-center hybrid integrals is solved in a general way for Slater-type atomic orbitals with integral effective quantum numbers. No other restrictions are placed upon effective quantum numbers and effective nuclear charges. The integrals are expressed linearly in terms of one type ... their computation. The treatment developed for the hybrid integrals is shown to be applicable also to the two-center Coulomb integrals and to the one-electron integrals.
Tópico(s): Advanced Physical and Chemical Molecular Interactions
1956 - American Institute of Physics | The Journal of Chemical Physics
Springer Link
Joseph Alfred Serret, Bern Dibner,
Provenance: Donated by Bern Dibner.; The Burndy Library Collection at the Huntington Library. Book.
1880 - Gale Group | NCCO-STM 1of2
... equivalence of the Riemann-Stieltjes and Cauchy-Stieltjes integrals (abbreviated RS and CS integrals) and conditions for the existence and equality of ... Riemann, the left Cauchy, and the right Cauchy integrals are defined as limits of the sums Xa/that these integrals are equivalent.Corresponding to these integrals, we have the RS and the two CS integrals, defined as limits of the sums ]£*ƒ(£»)show that the CS integrals may exist, with equal or unequal values, when ... RS do not; that the right modified RS integral may exist when the RS does not; and ...
Tópico(s): Mathematical functions and polynomials
1943 - American Mathematical Society | Bulletin of the American Mathematical Society