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Morse inequalities for R-constructible sheaves

1992
*
Advances in Mathematics
*

(3.12) Hence

doi:10.1016/0001-8708(92)90022-d
fatcat:sdckwszndre4fnflwmucqi2ov4
*in*this situation, we can deduce the Morse*inequalities*from the multiplicity of F at generic points of A. ...*In*[4] , Goresky and MacPherson also obtained "Morse*inequalities*" for the intersection cohomology of compact complex spaces [4, p. 1741, but their formulation appears rather different from ours. ...##
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Some New Fourier and Jackson-Nikol'skii Type Inequalities In Unbounded Orthonormal Systems

2021
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Constructive Mathematical Analysis
*

Some new Fourier and Jackson-Nikol'skii type

doi:10.33205/cma.910173
fatcat:u6xduyqrxjdu3hvcw6o7spkamy
*inequalities**in*this frame are stated, proved and discussed. ...*In*particular, the derived results generalize and unify several well-known results but also some new applications are pointed out. ... This*inequality*is also called the*inequality*of different metrics for a trigonometric polynomial. For case 0 < p < q ∞,*inequality*(4) was proved*in*[16] and [10] . ...##
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Universal bounds for large determinants from non-commutative Hölder inequalities in fermionic constructive quantum field theory

2017
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Mathematical Models and Methods in Applied Sciences
*

Efficiently bounding large determinants is an essential step

doi:10.1142/s0218202517500361
fatcat:26vgh5azxvckfhxhcq2zrkcjxe
*in*non-relativistic fermionic*constructive*quantum field theory, because, together with the summability of the interaction and the covariance ... Our proofs use Hölder*inequalities*for general non-commutative L p -spaces derived by Araki and Masuda [AM]. ... Finally, we thank Zosza Lefevre for linguistic hints and Christian Jäkel for the nice lectures he gave*in*2015 on non-commutative L pspaces. ...##
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Popular Lectures in Mathematics—(i) The Method of Mathematical Induction by I. S. Sominskii, (ii) Fibonacci Numbers by N. N. Vorob'ev, (iii) Some Applications of Mechanics to Mathematics by v. A. Uspenskh, (iv) Geometrical Constructions Using Compasses Only by A. N. Kostovskii, (V) The Ruler in Geometrical Constructions by A. S. Smogorzhevskii, (vi) Inequalities by P. P. Korovkin (Pergamon Press, Oxford, 1961)

1962
*
Proceedings of the Edinburgh Mathematical Society
*

USPENSKH, (iv) Geometrical

doi:10.1017/s0013091500014905
fatcat:yjog6chlsrdwhbdksatdrpylku
*Constructions*Using Compasses Only by A. N. KOSTOVSKH, (V) The Ruler*in*Geometrical*Constructions*by A. s. SMOGORZHEVSKH, (vi)*Inequalities*by P. P. ... (vi)*Inequalities*is really a collection of problems involving important*inequalities*. More than half of these are solved*in*the text and solutions of the rest are given*in*the last chapter. ...##
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How do Students Think in Translating Verbal Representation to Graphics?

2022
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Edumatika Jurnal Riset Pendidikan Matematika
*

This study resulted

doi:10.32939/ejrpm.v4i2.1004
fatcat:z7nrjnpddzgejbf4qaan7w7uua
*in*two types of students'*mathematical*translational thinking paths, namely the complete and incomplete*construction*translational thinking path. ... The supporting instruments*in*this research are*in*the form of*mathematical*translation tasks and interview guidelines. ... The*mathematical*translation path of complete and incomplete*constructions*found*in*this study shows differences*in*performance*in*completing translations. ...##
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Classified construction of generalized Furuta type operator functions, II

2010
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Mathematical Inequalities & Applications
*

As a continuation of our previous work with the same title, the

doi:10.7153/mia-13-56
fatcat:4bs4faux3vf3fmvfsj5lba6igq
*construction*of grand Furuta*inequality*(GFI) is improved*in*order to give a*constructive*proof of Uchiyama's result (2003). ... Afterwards the generalization of Uchiyama's result is obtained by*mathematical*induction which implies Furuta's recent results. (2010) : 47A63, 47B15, 47B65.*Mathematics*subject classification ... KAMEI, A geometrical structure*in*the Furuta's*inequality*, II, Nihonkai Math. J., 8 (1997), 37-46. [7] M. FUJII AND E. KAMEI, Mean theoretic approach to the grand Furuta*inequality*, Proc. Amer. Math. ...##
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Page 1248 of Mathematical Reviews Vol. , Issue 83c
[page]

1983
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Mathematical Reviews
*

It offers an entrance into the field for

*mathematical*physicists and other mathematicians. I think four-dimensional field theories will be*constructed**in*the foreseeable future. ... The author presents a way of*constructing*generalizations of Bell’s*inequalities*for an arbitrary experimental situation. ...##
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LEARNING TRAJECTORY OF QUADRATIC INEQUALITY

2018
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JOHME: Journal of Holistic Mathematics Education
*

*In*this article, we

*constructed*a learning trajectory of the quadratic

*inequality*. This qualitative study used didactical design research with 105 grade 10 students as the participants. ... <p>A learning trajectory offers a description of key aspects

*in*planning

*mathematics*learning. ... design (textbook, lesson plan, curriculum), learning obstacle and quadratic

*inequality*system (

*in*

*mathematics*' context). ...

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Ortaokul Matematik Öğretmen Adaylarının Üçgen Eşitsizliğini Toplu Argümantasyonla Kavrayışları

2019
*
Journal of Inonu University Faculty of Education
*

It was found that the participants improved their knowledge and understanding of triangle

doi:10.17679/inuefd.333720
fatcat:mpqtnwkkonadbagvplfda5q5mu
*inequality*by argumentation through criticizing their*mathematical*ideas. ... and*constructed*their knowledge and understanding of this concept. ...*In*other words, triangle*inequality*of |c-b|<a<c+b was shown and justified by geometric*constructions*with compass and straight edge. ...##
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Assumptions of Metric Variable-Type in Bell's Theorem

2013
*
American Journal of Modern Physics
*

An analysis of both the original and the CHSH Bell

doi:10.11648/j.ajmp.20130206.22
fatcat:nktuglozc5cpzkkosnsk2d5zo4
*inequalities*is presented. Two additional*mathematical*assumptions are identified*in*the theorem. ... These are: all variables*in*the*inequalities*have a field algebraic structure, and all variables have measurability as a*mathematical*property. ...*in*the*inequalities*. ...##
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Page 1726 of Mathematical Reviews Vol. , Issue 2003C
[page]

2003
*
Mathematical Reviews
*

ISBN 962-8707-62-0
Contents:

*Mathematics*that shocks human mind—standard*in*- finitesimal calculus; Chapter One. ... Enlargements of*mathematical*founda- tional sets and type (1):*Construction*of foundation of standard analysis; Chapter Three. A survey of standard analysis; Chap- ter Four. ...##
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Visualization in Solving Inequality Questions: Case of Pre-Service Mathematics Teachers

2016
*
Journal of Education and Human Development (New York)
*

The sample of this study consists of 20 preservice

doi:10.15640/jehd.v5n4a12
fatcat:2o5qzaafgzecvdptwdbqzlkkvq
*mathematics*teachers who are enrolled*in*Education Faculty. ... The purpose of this case study is to determine whether pre-service teachers use visualisation*in*solving*inequality*questions, then, to determine the role of visualisation used as an appropriate visual ... The reasons why this subject was chosen are students' difficulties*in*solving problems related to*inequalities*, the easiness of*constructing**mathematical*visual representations and the variedness of multiple ...##
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Visualization in Solving Inequality Questions: Case of Pre-Service Mathematics Teachers

2016
*
Journal of Education and Human Development (New York)
*

The sample of this study consists of 20 preservice

doi:10.15640/jehd.v5n3a12
fatcat:lliani4khzfqvfkaw5zhtc65ne
*mathematics*teachers who are enrolled*in*Education Faculty. ... The purpose of this case study is to determine whether pre-service teachers use visualisation*in*solving*inequality*questions, then, to determine the role of visualisation used as an appropriate visual ... The reasons why this subject was chosen are students' difficulties*in*solving problems related to*inequalities*, the easiness of*constructing**mathematical*visual representations and the variedness of multiple ...##
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Comments on a paper by B. Schulz about Bell's inequalities

2010
*
Annalen der Physik
*

Schulz claims to have

doi:10.1002/andp.201010462
fatcat:lsuwmuq6m5h2fknsxccesyqsqu
*constructed*an actively local stochastic theory which violates Bell's*inequality*. This is false. ... But if for this same*mathematical**construction*Bell's*inequality*holds follows already from the existence of a proof for one of the ways to look at it. ... The entangled quantum many-particle states which violate Bell's*inequality*cannot be obtained*in*this*construction*. ...##
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On Pólya-Szegö and Chebyshev types inequalities involving the Riemann-Liouville fractional integral operators

2016
*
Journal of Mathematical Inequalities
*

Finally, examples for

doi:10.7153/jmi-10-38
fatcat:rotzzaztjfhsdazfzb7lkhwsem
*constructing*the bounding functions are also given. (2010) : 26D10, 26A33, 26D15.*Mathematics*subject classification ...*In*this paper, we investigate some new Pólya-Szegö type integral*inequalities*involving the Riemann-Liouville fractional integral operator, and use them to prove some fractional integral*inequalities*of ... FINK, Classical and New*Inequalities**in*Analysis,*Mathematics*and its Applications, (East European Series) 61, Kluwer Academic Publishers Group, Dordrecht, 1993. [12] H.ÖǦÜNMEZ AND U. ...
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