The curriculum vitae of Alice Turner Schafer lists two specializations: abstract
algebra (group theory) and women in mathematics. As early as her high school
years Alice exhibited a love for mathematics and an interest in teaching as a
career. As a mathematics educator she championed the full participation of
women in mathematics.
This lively, problem-oriented text is designed to coach readers toward
mastery of the most fundamental mathematical inequalities. With the
Cauchy–Schwarz inequality as the initial guide, the reader is led through
a sequence of fascinating problems whose solutions are presented as they
might have been discovered — either by one of history’s famous mathematicians
or by the reader.
The Eisenstein irreducibility critierion is part of the training of every mathematician.
I first learned the criterion as an undergraduate and, like many before me, was struck
by its power and simplicity. This article will describe the unexpectedly rich history of
the discovery of the Eisenstein criterion and in particular the role played by Theodor
The last decade has seen significant reform in the South African mathematics curriculum and the mathematics education research community has also grown markedly. Drawing on the proceedings from nearly a decade of the South African Association for Research in Mathematics, Science and Technology Education (SAARMSTE) conferences, this book reflects on the theoretical and ideological work that has contributed to the growth of mathematics education research in South Africa.
In a classic paper, Gerstenhaber showed that ﬁrst order deformations of an associative k-algebra a are controlled by the second Hochschild cohomology group of a. More generally, any n-parameter ﬁrst order deformation of a gives, due to commutativity of the cup-product on Hochschild cohomology, a graded algebra morphism Sym• (kn ) → Ext2•bimod (a, a).
.The Contest Problem Book V
American High School Mathematics Examinations and American Invitational Mathematics Examinations
Problems and solutions compiled and augmented by George Berzsenyi
Rose-Hulman Institute of Technology
Stephen B Maurer
THE MATHEMATICAL ASSOCIATION OF AMERICA
.NEW MATHEMATICAL LIBRARY published by The Mathematical Association of America Editorial Committee Underwood Dudley, Editor DePauw University Ross Honsberger, University of Waterloo Daniel Kennedy, Baylor School Michael J. McAsey, Bradley University Mark E.
The National Research Council was organized by the National Academy of Sciences in 1916 to
associate the broad community of science and technology with the Academy’s purposes of furthering
knowledge and advising the federal government. Functioning in accordance with general policies
determined by the Academy, the Council has become the principal operating agency of both the
National Academy of Sciences and the National Academy of Engineering in providing services to the
government, the public, and the scientific and engineering communities.
Tôi có một lý tưởng đơn thức của một vòng đa thức R. Trong bài báo này, chúng tôi xác định một số B như Ass (I n I / n +1) = Ass (IB / I B +1) cho tất cả các n ≥ B. 2000 Toán Phân loại Chủ đề: 13A15, 13D45 Từ khóa: Associated chính, đơn thức lý tưởng.
Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Department of Mathematic dành cho các bạn yêu thích môn toán học đề tài: The inverse problem associated to the Davenport constant for C2 ⊕ C2 ⊕ C2n, and applications to the arithmetical characterization of class groups...
In this concept, you will learn to find the optimal value of a function that is associated with an optimization problem. At this point, you know how to analyze a function to find its minima and maxima using the first and second derivatives. This is a big deal! Finding the solution to some real-world problem (such as in finance, science, and engineering) often involves a process of finding the maximum or minimum of a function within an acceptable region of values.
Every year, tens of thousands of young engineers and university graduates enter the
fascinating professional field of radio frequency (RF) design. Most of them have a
reasonable understanding of applied mathematics and physics, circuit theory, electromagnetism,
and electronics as well as computers and programming.
The term model refers to a quantitative method, system, or approach that applies statistical, economic, financial, or mathematical theories, techniques, and assumptions to process input data into quantitative estimates. Good definition? Let’s read more. Today we will start from something very important: Some guidance for model risk management Board of Governors of the Federal Reserve System Office of the Comptroller of the Currency SUPERVISORY GUIDANCE ON MODEL RISK MANAGEMENT Banks rely heavily on quantitative analysis and models in most aspects of financial decision making.
We study enhancement of diﬀusive mixing on a compact Riemannian manifold by a fast incompressible ﬂow. Our main result is a sharp description of the class of ﬂows that make the deviation of the solution from its average arbitrarily small in an arbitrarily short time, provided that the ﬂow amplitude is large enough. The necessary and suﬃcient condition on such ﬂows is expressed naturally in terms of the spectral properties of the dynamical system associated with the ﬂow. In particular, we ﬁnd that weakly mixing ﬂows always enhance dissipation in this sense. ...
The third part of the book is dedicated to analysis of role of DNA methylation in
cancer. According to the American Cancer Association, nearly 13% of all deaths
worldwide are cancer related. Aberrant DNA methylation patterns is likely to play a
causative role in cancer initiation and development. The first chapter is dedicated to
investigation of DNA methylation role in the development of hepatocellular
carcinoma associated with tyrosinemia.
We study “ﬂat knot types” of geodesics on compact surfaces M 2 . For every ﬂat knot type and any Riemannian metric g we introduce a Conley index associated with the curve shortening ﬂow on the space of immersed curves on M 2 . We conclude existence of closed geodesics with prescribed ﬂat knot types, provided the associated Conley index is nontrivial. 1. Introduction If M is a surface with a Riemannian metric g then closed geodesics on (M, g) are critical points of the length functional L(γ) = |γ (x)|dx deﬁned on the space of unparametrized C...
For many marketers, mobile is the Holy Grail for Location Based Marketing. Location Based Marketing
promises an unprecedented new way to connect with consumers and deliver highly relevant and
targeted messages at a time and place when a consumer is most likely to act on them.
The Mobile Marketing Association (MMA) has developed this whitepaper to educate the industry on
Location Based Marketing, and to provide a general overview for mobile marketers seeking to
understand the potential opportunities for Location Based Services1 (“LBS).
Weyl group multiple Dirichlet series were associated with a root system Φ and a number ﬁeld F containing the n-th roots of unity by Brubaker, Bump, Chinta, Friedberg and Hoﬀstein  and Brubaker, Bump and Friedberg  provided n is suﬃciently large; their coeﬃcients involve n-th order Gauss sums. The case where n is small is harder, and is addressed in this paper when Φ = Ar . “Twisted” Dirichet series are considered, which contain the series of  as a special case.
We study the large eigenvalue limit for the eigenfunctions of the Laplacian, on a compact manifold of negative curvature – in fact, we only assume that the geodesic ﬂow has the Anosov property. In the semi-classical limit, we prove that the Wigner measures associated to eigenfunctions have positive metric entropy. In particular, they cannot concentrate entirely on closed geodesics. 1.
We construct many examples of nonslice knots in 3-space that cannot be distinguished from slice knots by previously known invariants. Using Whitney towers in place of embedded disks, we deﬁne a geometric ﬁltration of the 3-dimensional topological knot concordance group. The bottom part of the ﬁltration exhibits all classical concordance invariants, including the CassonGordon invariants. As a ﬁrst step, we construct an inﬁnite sequence of new obstructions that vanish on slice knots. These take values in the L-theory of skew ﬁelds associated to certain universal groups. ...
The interplay between geometry and topology on complex algebraic varieties is a classical theme that goes back to Lefschetz [L] and Zariski [Z] and is always present on the scene; see for instance the work by Libgober [Li]. In this paper we study complements of hypersurfaces, with special attention to the case of hyperplane arrangements as discussed in Orlik-Terao’s book [OT1]. Theorem 1 expresses the degree of the gradient map associated to any homogeneous polynomial h as the number of n-cells that have to be added to a generic hyperplane section D(h) ∩ H to obtain the complement in...