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Pocket Mathematics

L. S. GODDARD
1970 Nature  
THERE are many texts dealing with school mathematics and introductory university mathematics; but none (in English) with quite the flavour of the present series of seven small books, translated from the  ...  This retention of the "classical" mathematics rather than the wholesale acceptance of tho so-called "new" mathematics is a sobering thought, which might well be followed by mathematicians in tho western  ... 
doi:10.1038/226671a0 fatcat:2htwdztqv5fgrcrvb6fsrn4qmy

Contour pocketing computation using mathematical morphology

R. Molina-Carmona, A. Jimeno, M. Davia
2006 The International Journal of Advanced Manufacturing Technology  
This formulation is mathematically elegant but it has some drawbacks.  ...  Introduction Pocket machining is a specific kind of machining process.  ... 
doi:10.1007/s00170-006-0823-9 fatcat:mze53nnssffizj4pjwxv7xbiua

PENGEMBANGAN POCKET BOOK MATHEMATIC (POCKEMATH) BERBASIS ANDROID SEBAGAI MEDIA PEMBELAJARAN SISWA

Nurmala R
2022 Proximal  
Hasil penelitian ini adalah produk berupa Pocket Book Mathematic (Pockemath) berbasis android yang layak dan praktis digunakan sebagai media pembelajaran untuk siswa.  ...  Pengembangan Pocket Book Mathematic (Pockemath) Berbasis Android ini mengacu pada Model Thiagarajan Four-D yang meliputi 4 tahap: Define, Design, Develope dan Desseminates.  ...  Berdasarkan uji coba yang telah dilaksanakan, diperoleh bahwa produk Pocket Book Mathematic (Pockemath) berbasis android yang dikembangkan praktis digunakan dalam proses pembelajaran matematika.  ... 
doi:10.30605/proximal.v5i1.1477 fatcat:nw6hkkwjnrggxcb6v56w2ladlq

Differential Equations [chapter]

1999 Pocket Book of Integrals and Mathematical Formulas, 4th Edition  
We develop an asymptotic theory of nonlinear operator differential equations of an arbitrary order in Banach spaces. The nonlinear part of the equation is written in a divergent form. It is shown that the main term in an asymptotic representation of solutions at infinity satisfies a finite-dimensional dynamical system perturbed by a small nonlocal operator. r 449 c ¼ 1: This situation appears, for example, in the problem of asymptotic behavior of solutions to the nonlinear elliptic differential
more » ... equation of order 2m a ðx; fD g x uðxÞg jgjpm Þ; ð6Þ ARTICLE IN PRESS V. Kozlov (Link . oping), V. Maz'ya (Link . oping) / Journal of Functional Analysis 217 (2004) 448-488 450 V. Kozlov (Link . oping), V. Maz'ya (Link . oping) / Journal of Functional Analysis 217 (2004) 448-488 453 V. Kozlov (Link . oping), V. Maz'ya (Link . oping) / Journal of Functional Analysis 217 (2004) 448-488 455 for the last matrix in (85). Lemma 4. The following formula is valid: J cÀn ðlÞ 0 ÀBðlÞ J n ðlÞ À M À1 ¼ J À1 cÀn ðlÞ 0 QðlÞ J À1 n ðlÞðI þ MÞ ! ; ð87Þ ARTICLE IN PRESS V. Kozlov (Link . oping), V. Maz'ya (Link . oping) / Journal of Functional Analysis 217 (2004) 448-488 469 P Ã V ðnÞ kj ðtÞ ¼ V ðnÞ kj ðtÞ ð 107Þ hold.
doi:10.1201/noe0849302633.ch10 fatcat:de4pjkaqfreulpcdi4kh4lfjiy

A Pocket Book for Chemists

T. Bayley, R. Ensoll
1918 Mathematical Gazette  
This content downloaded from 131.111.164.128 on Mon, 26 Oct 2015 02:47:40 UTC All use subject to JSTOR Terms and Conditions THE MATHEMATICAL GAZETTE. THE MATHEMATICAL GAZETTE.  ...  The mathematical tables, etc., in this volume fill about one-eighth of the book.  ...  The mathematical tables, etc., in this volume fill about one-eighth of the book.  ... 
doi:10.2307/3602076 fatcat:zbtlxmv4t5e7zjn37qkzpvkezu

POCKET SIZE FOOT-CANDLE METER

1932 School Science and Mathematics  
POCKET SIZE FOOT-CANDLE METER Many simplified arid new photocell applications with relays and indicat- ing instruments have been made possible through the use of the new Weston PHOTRONIC Photoelectric  ...  The latest of these applications, by the Weston Electrical Instrument Corporation, is a pocket-size Foot-candle Meter, built especially for sales- men’s use, calibrated to read directly on three ranges  ... 
doi:10.1111/j.1949-8594.1932.tb12714.x fatcat:6f23ayy2qbcuxe57jf3msicuwa

Differential Equations [chapter]

2008 Pocket Book of Integrals and Mathematical Formulas, 4th Edition  
We develop an asymptotic theory of nonlinear operator differential equations of an arbitrary order in Banach spaces. The nonlinear part of the equation is written in a divergent form. It is shown that the main term in an asymptotic representation of solutions at infinity satisfies a finite-dimensional dynamical system perturbed by a small nonlocal operator. r 449 c ¼ 1: This situation appears, for example, in the problem of asymptotic behavior of solutions to the nonlinear elliptic differential
more » ... equation of order 2m a ðx; fD g x uðxÞg jgjpm Þ; ð6Þ ARTICLE IN PRESS V. Kozlov (Link . oping), V. Maz'ya (Link . oping) / Journal of Functional Analysis 217 (2004) 448-488 450 V. Kozlov (Link . oping), V. Maz'ya (Link . oping) / Journal of Functional Analysis 217 (2004) 448-488 453 V. Kozlov (Link . oping), V. Maz'ya (Link . oping) / Journal of Functional Analysis 217 (2004) 448-488 455 for the last matrix in (85). Lemma 4. The following formula is valid: J cÀn ðlÞ 0 ÀBðlÞ J n ðlÞ À M À1 ¼ J À1 cÀn ðlÞ 0 QðlÞ J À1 n ðlÞðI þ MÞ ! ; ð87Þ ARTICLE IN PRESS V. Kozlov (Link . oping), V. Maz'ya (Link . oping) / Journal of Functional Analysis 217 (2004) 448-488 469 P Ã V ðnÞ kj ðtÞ ¼ V ðnÞ kj ðtÞ ð 107Þ hold.
doi:10.1201/9781420063073.ch10 fatcat:5xg2vhr7b5ayjj6kwumui43twm

Differential Equations [chapter]

2015 Pocket Book of Integrals and Mathematical Formulas, 5th Edition  
We develop an asymptotic theory of nonlinear operator differential equations of an arbitrary order in Banach spaces. The nonlinear part of the equation is written in a divergent form. It is shown that the main term in an asymptotic representation of solutions at infinity satisfies a finite-dimensional dynamical system perturbed by a small nonlocal operator. r 449 c ¼ 1: This situation appears, for example, in the problem of asymptotic behavior of solutions to the nonlinear elliptic differential
more » ... equation of order 2m a ðx; fD g x uðxÞg jgjpm Þ; ð6Þ ARTICLE IN PRESS V. Kozlov (Link . oping), V. Maz'ya (Link . oping) / Journal of Functional Analysis 217 (2004) 448-488 450 V. Kozlov (Link . oping), V. Maz'ya (Link . oping) / Journal of Functional Analysis 217 (2004) 448-488 453 V. Kozlov (Link . oping), V. Maz'ya (Link . oping) / Journal of Functional Analysis 217 (2004) 448-488 455 for the last matrix in (85). Lemma 4. The following formula is valid: J cÀn ðlÞ 0 ÀBðlÞ J n ðlÞ À M À1 ¼ J À1 cÀn ðlÞ 0 QðlÞ J À1 n ðlÞðI þ MÞ ! ; ð87Þ ARTICLE IN PRESS V. Kozlov (Link . oping), V. Maz'ya (Link . oping) / Journal of Functional Analysis 217 (2004) 448-488 469 P Ã V ðnÞ kj ðtÞ ¼ V ðnÞ kj ðtÞ ð 107Þ hold.
doi:10.1201/b18266-11 fatcat:nrtgiuix2rejfcrozpk4tjrwfe

Algebraic Stories from One and from the Other Pockets

Ralf Fröberg, Samuel Lundqvist, Alessandro Oneto, Boris Shapiro
2018 Arnold Mathematical Journal  
Being tightly connected to many branches of mathematics, the Lefschetz properties of graded algebras has evolved into an important area of research in commutative algebra.  ...  additive decompositions of polynomials goes back to the 19-th century; in the last decades however these types of problems received a lot of additional attention in several areas of pure and applied mathematics  ... 
doi:10.1007/s40598-018-0088-z fatcat:ocegf5lk4nfthoyqvytoni3pna

The "Akribos" Pocket Card of Four-Figure Logarithmic and Other Tables

W. H. Barker
1923 Mathematical Gazette  
The ‘‘ Akribos” Pocket Card of Four-Figure Logarithmic and other 7. By W. H. Barker. 2d. (Philip & Tacey.)  ...  A mathematical definition of life is a striking idea at least. This is what Prof. Boussinesq gives us.  ... 
doi:10.2307/3604431 fatcat:mjzzxjuqrzhylgzz3uioqo7fna

Deep pockets in lattices and other groups

Andrew D. Warshall
2009 Transactions of the American Mathematical Society  
We show the nonexistence of deep pockets in a large class of groups, extending a result of Bogopol'skiȋ.  ...  We then give examples of important groups (namely lattices in Nil and Sol) which have deep pockets.  ...  Thus E cannot have deep pockets, as claimed.  ... 
doi:10.1090/s0002-9947-09-04954-x fatcat:5ehogqqov5binl6tvgaszlpn5i

PENGEMBANGAN POCKET BOOK OF MATHEMATIC PADA SISWA BERKEBUTUHAN KHUSUS UNTUK MEMFASILITASI KEMAMPUAN PEMAHAMAN KONSEP MATEMATIS

Devi Ariyantika
2019 Jurnal Aksioma  
The purpose of this study is to: (1) Know how the feasibility of learning media in the form of pocket book of mathematic for mentally retarded children. (2) knowing (5) Evaluation.  ...  Learning media have an important role in the learning process of students.The media that is considered appropriate and in accordance with the current conditions is the Pocket Book of Mathematic learning  ...  respon pendidik terhadap pocket book of mathematic yang di kembangkan.  ... 
doi:10.24127/ajpm.v8i1.1821 fatcat:7ouvj3j3inbq3bc6ibwcq7sd6e

Extraction of Robust Voids and Pockets in Proteins [chapter]

Raghavendra Sridharamurthy, Talha Bin Masood, Harish Doraiswamy, Siddharth Patel, Raghavan Varadarajan, Vijay Natarajan
2016 Mathematics and Visualization  
Voids and pockets in a protein refer to empty spaces that are enclosed by the protein molecule.  ...  Given a fixed set of atoms, voids and pockets are represented as subsets of the weighted Delaunay triangulation of atom centers.  ...  By destroying the pocket, this triangle creates a void, or a void-pocket pair.  ... 
doi:10.1007/978-3-319-24523-2_15 fatcat:h7vuml7pifcgrnvl37nhyy6xeu

Resonance Pockets of Hill's Equations with Two-Step Potentials

Shaobo Gan, Meirong Zhang
2000 SIAM Journal on Mathematical Analysis  
As a result, the global structure of resonance pockets is described completely.  ...  The results in this paper show that resonance pockets behave in a sensible and fairly rich way even in this simplest case.  ...  ., c 1 = −1, c 2 = +1 and t 1 = t 2 = π, we know that all pockets inside R n are transversal if n is odd, and all pockets, except the two pockets (λ, ε) : λ n (εp) < λ < λ n (εp), 0 < ε < n and (λ, ε)  ... 
doi:10.1137/s0036141099356842 fatcat:qxagwg6aw5djvjgrbavpa7izli

On the definition and the construction of pockets in macromolecules

Herbert Edelsbrunner, Michael Facello, Jie Liang
1998 Discrete Applied Mathematics  
We formally define pockets as regions in the complement with limited accessibility from the outside. Pockets can be efficiently constructed by an algorithm based on alpha complexes.  ...  Acknowledgements The authors thank Ping Fu and Ernst Miicke for their contributions to the alpha shapes software in which the pockets software is embedded.  ...  Introduction The motivation for the work reported in this paper is the apparent difficulty to talk in mathematically concrete terms about intuitive geometric concepts sometimes referred to as 'depressions  ... 
doi:10.1016/s0166-218x(98)00067-5 fatcat:kckfayqx25csrh4m27giijbeg4
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