Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Notation for differentiation"'
Autor:
S. Paolucci
Publikováno v:
Continuum Mechanics and Thermodynamics of Matter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::04b0f8d93278fefaea0c72bca468c487
https://doi.org/10.1017/cbo9781316106167.011
https://doi.org/10.1017/cbo9781316106167.011
Autor:
Karl F. Warnick, Peter Russer
Publikováno v:
Progress In Electromagnetics Research. 148:83-112
Mathematical frameworks for representing fields and waves and expressing Maxwell's equations of electromagnetism include vector calculus, differential forms, dyadics, bivectors, tensors, quaternions, and Clifford algebras. Vector notation is by far t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5bcd17280f154b9206678fdb1527f5d7
https://doi.org/10.2528/pier14063009
https://doi.org/10.2528/pier14063009
Autor:
Giles Hooker, James Ramsay
Publikováno v:
Springer Series in Statistics ISBN: 9781493971886
We now take a more detailed look at various types of differential equations, after first laying out the elements of notation and terminology that are used in subsequent chapters. Classifications of differential equations include linear versus nonline
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a7a6ec6b3278b97d7b7f75c17acc3ead
https://doi.org/10.1007/978-1-4939-7190-9_2
https://doi.org/10.1007/978-1-4939-7190-9_2
Autor:
James E. Gentle
Publikováno v:
Springer Texts in Statistics ISBN: 9783319648668
Vectors and matrices are useful in representing multivariate numeric data, and they occur naturally in working with linear equations or when expressing linear relationships among objects. Numerical algorithms for a variety of tasks involve matrix and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c52c7b7057ade893ac7f915cb685bab
https://doi.org/10.1007/978-3-319-64867-5_1
https://doi.org/10.1007/978-3-319-64867-5_1
Autor:
Jared Speck
Publikováno v:
Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8dce925aa2ad32c11d14479bea61a589
https://doi.org/10.1090/surv/214/08
https://doi.org/10.1090/surv/214/08
Autor:
Todd D. Sikora, Alex J. DeCaria
Publikováno v:
Journal of the Atmospheric Sciences. 67:1287-1291
The confusion and ambiguity in the literature regarding the notation (V · ∇)V versus V · ∇V is discussed, and the equivalence of the two expressions is demonstrated. The invariance of this notation in any coordinate system is also shown.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f7eab47091a198abee9c354f08fc06a7
https://doi.org/10.1175/2009jas3393.1
https://doi.org/10.1175/2009jas3393.1
Autor:
Kurt Otto, Krister Åhlander
Publikováno v:
Future Generation Computer Systems. 22:102-109
A formulation of finite difference schemes based on the index notation of tensor algebra is advocated. Finite difference operators on regular grids may be described as sparse, banded, "tensors". Especially for higher space dimensions, it is claimed t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::634cea09dfe25f35675cbad6080236c1
https://doi.org/10.1016/j.future.2003.09.001
https://doi.org/10.1016/j.future.2003.09.001
Autor:
Lawrence E. May, Marco D. Pollanen
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 34:181-198
We introduce a new powerful teaching notation for multivariable calculus that produces compact formulas virtually identical to single-variable ones. The notation is meant to emphasize the structure of multivariable calculus, freeing students to conce
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6bc4cbe9ec09dd7250256f5ae0bea9c4
https://doi.org/10.1080/0020739021000053927
https://doi.org/10.1080/0020739021000053927
Autor:
Mark S. Gockenbach
Publikováno v:
Optimization and Engineering. 2:75-129
The central idea of differential calculus is that the derivative of a function defines the best local linear approximation to the function near a given point. This basic idea, together with some representation theorems from linear algebra, unifies th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e03d24cb77febc8d475fb162a0cbeb0b
https://doi.org/10.1023/a:1011874904403
https://doi.org/10.1023/a:1011874904403
Autor:
Walter J. Maciel
Publikováno v:
Undergraduate Lecture Notes in Physics ISBN: 9783319043272
This chapter presents the Cartesian tensor notation, or index notation, and shows how the main vector operations can be written in this notation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd94a942690e7b1838970907630675de
https://doi.org/10.1007/978-3-319-04328-9_5
https://doi.org/10.1007/978-3-319-04328-9_5