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(3.12) Hence in this situation, we can deduce the Morse inequalities from the multiplicity of F at generic points of A. ... In  , 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. ...doi:10.1016/0001-8708(92)90022-d fatcat:sdckwszndre4fnflwmucqi2ov4
Some new Fourier and Jackson-Nikol'skii type 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  and  . ...doi:10.33205/cma.910173 fatcat:u6xduyqrxjdu3hvcw6o7spkamy
Efficiently bounding large determinants is an essential step 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. ...doi:10.1142/s0218202517500361 fatcat:26vgh5azxvckfhxhcq2zrkcjxe
USPENSKH, (iv) Geometrical 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. ...doi:10.1017/s0013091500014905 fatcat:yjog6chlsrdwhbdksatdrpylku
This study resulted 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. ...doi:10.32939/ejrpm.v4i2.1004 fatcat:z7nrjnpddzgejbf4qaan7w7uua
As a continuation of our previous work with the same title, the 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.  M. FUJII AND E. KAMEI, Mean theoretic approach to the grand Furuta inequality, Proc. Amer. Math. ...doi:10.7153/mia-13-56 fatcat:4bs4faux3vf3fmvfsj5lba6igq
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. ...
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). ...doi:10.19166/johme.v2i1.1202 fatcat:7c4gipifdvakzbpzwyf6nkz2fa
It was found that the participants improved their knowledge and understanding of triangle 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. ...doi:10.17679/inuefd.333720 fatcat:mpqtnwkkonadbagvplfda5q5mu
An analysis of both the original and the CHSH Bell 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. ...doi:10.11648/j.ajmp.20130206.22 fatcat:nktuglozc5cpzkkosnsk2d5zo4
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. ...
The sample of this study consists of 20 preservice 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 ...doi:10.15640/jehd.v5n4a12 fatcat:2o5qzaafgzecvdptwdbqzlkkvq
The sample of this study consists of 20 preservice 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 ...doi:10.15640/jehd.v5n3a12 fatcat:lliani4khzfqvfkaw5zhtc65ne
Annalen der Physik
Schulz claims to have 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. ...doi:10.1002/andp.201010462 fatcat:lsuwmuq6m5h2fknsxccesyqsqu
Finally, examples for 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.  H.ÖǦÜNMEZ AND U. ...doi:10.7153/jmi-10-38 fatcat:rotzzaztjfhsdazfzb7lkhwsem
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