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Topic: List of mathematical identities


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In the News (Fri 17 Feb 12)

  
  Interact Help: Exploring Emotions
Lists on the form let you select the actor's identity and emotion/mood, the object person's identity and emotion/mood, and the behavior.
When solving for the identity of an object person, the identities listed in the solution have the same institutional connections as the identity that is specified for the actor.
The emotion list is scrolled automatically so that the emotion term with an EPA profile closest to the computed profile appears as the topmost visible entry in the box showing emotions.
www.indiana.edu /~socpsy/ACT/interact/Emotions.html   (1137 words)

  
 Identities
Identities do not add any information about the quantities which they contain, because they are true for any values those quantities may take.
The identity written on top is actually one of the basic properties of numbers ("the distributive law").
Another useful identity is obtained by multiplying (a–b) times (a+b).
www-istp.gsfc.nasa.gov /stargaze/Salgeb4.htm   (238 words)

  
 SIU ACADEMICS   (Site not responding. Last check: 2007-10-12)
Mathematics 180 (30), Analytic Geometry and Calculus I (4)
A study of the historical development of the main ideas in mathematics, with emphasis on mathematical theories and techniques of each period and their historical evolution.
A modern approach to traditional topics in mathematics, with emphasis on the numerical and spatial experiences appropriate for the elementary student, utilizing the concept of a mathematical system as a unifying theme.
www.salemiu.edu /academics/courses/courses_list/matcourses.shtml   (670 words)

  
 SIAM: Mathematics in Industry: List of Tables
Despite such favorable results, mathematics is often invisible outside the technical work group because its role in a successful project is not highlighted or publicized, especially to higher management within the organization.
The contributions of mathematics as a separate, disjoint discipline are also difficult to discern because scientists and engineers in nonacademic environments necessarily join together to produce a single result.
Table 13 lists the qualities for which more than 30% of the Ph.D. respondents rated their educational preparation as "less than good": working with colleagues; communicating; having broad scientific knowledge; using computer software and systems; and dealing with varied problems.
www.siam.org /about/mii/listtables.php   (3356 words)

  
 General Catalog - Mathematics Courses
This course is intended for upper-division students in Mathematics, Statistics, the Physical Sciences, and Engineering, and for economics majors with adequate mathematical preparation.
Topics in mechanics presented from a mathematical viewpoint: e.g., hamiltonian mechanics and symplectic geometry, differential equations for fluids, spectral theory in quantum mechanics, probability theory and statistical mechanics.
Topics in foundations of mathematics, theory of numbers, numerical calculations, analysis, geometry, topology, algebra, and their applications, by means of lectures and informal conferences; work based largely on original memoirs.
sis450.berkeley.edu /catalog/gcc_list_crse_req?p_dept_name=Mathematics&p_dept_cd=MATH   (3937 words)

  
 additive identity element   (Site not responding. Last check: 2007-10-12)
In mathematics an identity element is a special type of element of a set with An identity with respect to addition is called an additive identity and an The identity element allows the variable to maintain this attitude.
In mathematics an identity element is a special type of element of a set with An identity with respect to addition is called an additive identity and an See also list of mathematical identities.
F m In mathematics an identity element is a special type of element of a set with An identity with respect to addition is called an additive identity and an additive identity Main Entry additive identity.
additive.winter-time.info /additive-identity-element   (475 words)

  
 Math Guide - Links to find out about Math
MegaMath is intended to bring unusual and important mathematical ideas to elementary school classrooms so that young people and their teachers can think about them together.
Graph Theory is the branch of mathematics that involves the study of graphs.
The sequence in which the activities are listed is roughly in order of increasing difficulty and challenge, but all of the earlier activities are not strict prerequisites for the later ones.
www.useekufind.com /tmath.htm   (2530 words)

  
 Alejandro Ádem, University of Wisconsin-Madison -- Papers and Presentations, Mathematics and Science Initiative
This list is of course not an exhaustive one, there are other important (but perhaps less fundamental) topics to consider, such as for example: geometric series and their application to computing interest rates, elements of probability theory, basic notions of statistics, etc.
As a consequence of a deficient K-12 background, these mathematically deprived students are denied the opportunity to unleash their natural talents in areas such as science, engineering and economics.
Of particular concern are the often deficient math skills of prospective elementary school teachers that we see in the college classroom; this most certainly has a direct impact on the quality of their instruction, thus perpetuating the vicious circle of low performance.
www.ed.gov /inits/mathscience/adem.html   (1600 words)

  
 Computers and Mathematical Notation
Mathematical notation, like language, has grown up without much looking to, at the dictates of convenience and with the sanction of the majority.
It might be argued that mathematical notation (to be referred to as MN) is adequate as it is, and could not benefit from the infusion of ideas from programming languages.
The terms list, table, and report are used in J with meanings familiar to anyone, whereas the corresponding terms vector, matrix, and array might be known only to specialists.
burks.bton.ac.uk /burks/language/apl/camnweb/camn.htm   (3658 words)

  
 Mathematics
An introduction to the mathematics of “chaos.” Period doubling universality, and related topics; interval maps, symbolic itineraries, stable/unstable manifold theorem, strange attractors, iteration of complex analytic maps, applications to multidimensional dynamics systems and real-world problems.
There will also be elementary lectures from members of the mathematics faculty on topics of their own research interest.
The theory of algebraic curves is a central branch of mathematics, having relations to fields as diverse as complex analysis, number theory, combinatorics, codes, topology, representation theory, and physics.
pr.caltech.edu /catalog/courses/listing/ma.html   (2506 words)

  
 Course Descriptions, Mathematics Department, UA Fort Smith   (Site not responding. Last check: 2007-10-12)
This course provides an introduction to the mathematical modeling process and applies this process to problems that may be modeled with single or multi-variable calculus, differential equations, or lower-level mathematics.
The history of mathematics from ancient times to the twentieth century with emphasis on three aspects: the development of mathematics throughout the centuries, mathematics as a human endeavor, and the history of mathematics as an educational tool.
Based on the interests of the student and the available expertise of the faculty, the project may involve research in pure mathematics, mathematics education, the history of mathematics, or an application of mathematics to another discipline.
www.uafortsmith.edu /Math/CourseDescriptions   (2922 words)

  
 Mathematical Models of the Hyperbolic Worlds   (Site not responding. Last check: 2007-10-12)
These mathematical results were used in algorithmic measurement theory [8, 14, 15], a new theory of real numbers [16], harmony mathematics [17-20], new computer arithmetic [8, 21-23], new coding theory [24-25], and the formulation of the Generalized Principle of the Golden Section [13].
Thus, identity (57) defines a more general principle for dividing a line segment into two parts, referred to in [13] as the “Generalized Principle of the Golden Section” for which the “Dichotomy Principle” and the “Golden Section Principle” are sub-cases.
Identity (76) is known as the “Cassini formula” in honor of the well-known 17-th century astronomer Giovanni Cassini (1625-1712) who derived this formula [26].
www.mi.sanu.ac.yu /vismath/stakhov/index.html   (5072 words)

  
 Curricular Resources in Mathematics
Questions/answers on Mathematics may be found in our "All Subjects" section at the top of the page, the "Mathematics" section, as well as the general "Reference" section.
The primary goals of the Mathematics Archives are to organize and provide you with access to most public domain and shareware software and many other materials which are contained on the Internet and which can used in the teaching of mathematics at the community college, college and university level.
The MegaMath project (and site) is intended to bring unusual and important mathematical ideas to elementary school classrooms so that young people and their teachers can think about them together.
www.cln.org /subjects/math_cur.html   (1520 words)

  
 Home of Tetration
Even so, many mathematicians have been interested in tetration, because of the historical significance of its relatives in the hyper-operation sequence, and because it is easy to make very large numbers with tetration.
The reason why these are in the same list, and in this order is because you can think of multiplication as repeated addition, and you can think of exponentiation as repeated multiplication.
Now that we know what tetration is, it is easy to see why such an obscure mathematical operation would be studied for hundreds of years, even without any substantial progress.
tetration.itgo.com   (301 words)

  
 Mathematical Sciences (MATH) - University Catalog 2006-07: George Mason University
May not be used as credit toward BA or BS in mathematical sciences or toward satisfying Area B of university core requirements or analytical reasoning requirement for BA degree in CAS.
Topics may consist of elementary counting and combinatorics including recursion and difference equations and their analogy to calculus; thorough discussion of probability and central measures of statistics; and graph theory and its connection to geometry.
Introduces variety of challenging mathematical problems appropriate for middle school student to analyze, and solving problems using mathematics learned in previous courses.
www.gmu.edu /catalog/math.html   (3688 words)

  
 United Tribes Technical College
This course is designed to introduce the learner to critical thinking and problem solving skills in mathematics areas such as whole numbers, integers, fractions, mixed numbers, decimals, percents, ratio, proportion, measurement (English and Metric), beginning algebra, simple geometry, and descriptive statistics.
Participants in this course will develop a deep understanding of mathematical concepts, procedures, and skills that are essential to being able to teach children in the elementary grades.
Current trends in mathematics are emphasized, with particular attention to documents created by the National Council of Teachers of Mathematics.
www.uttc.edu /catalog/Catalog.asp?list=alpha&cde=M   (631 words)

  
 Undergraduate Courses
Note: Mathematics courses are not numbered according to difficulty.
Description: This course is intended to be nontechnical, with an emphasis on conceptually sophisticated and aesthetically appealing mathematical discoveries of the twentieth century, such as mathematical aspects of social choice, management science, and growth and symmetry.
Integrated into the course is the use of a mathematical software system designed to aid in the numerical and qualitative study of solutions, and to aid in the geometric interpretation of solutions.
www.math.buffalo.edu /ug_course_list.html   (3258 words)

  
 Wiley::The Math Teacher's Book Of Lists, 2nd Edition
List 52, Converting One Unit to Another in the Metric System.
List 153, Guidelines for Factoring Polynomials of Degree 2.
List 160, Graphing a Linear Inequality in Two Variables on the Coordinate Plane.
www.wiley.com /WileyCDA/WileyTitle/productCd-078797398X,descCd-tableOfContents.html   (841 words)

  
 Math History
The purpose of this site is to present a small portion of the history of mathematics through an investigation of some of the great problems that have inspired mathematicians throughout the ages.
The lists are organized chronologically (almost 50 distinct periods from 1700 BC to 1940) or you can access the data by region (Babylonia, Egypt, China, Greece, India, Arab sphere, Japan, and Europe).
In Mathematics, more than any other field of study, have we heard proclamations and statements similar to, 'The Negro is incapable of succeeding.' Ancient and present achievements contradict such statements.
www.cln.org /themes/math_history.html   (980 words)

  
 Mathematics Resources on the World Wide Web   (Site not responding. Last check: 2007-10-12)
Mathematics Explorations, a mathematics/teaching project created with the combined talents of Capital Community College, NASA, the National Science Foundation, and the American Mathematical Association for Two-Year Colleges.
Interactive Mathematics on the Internet Xiao Gang of the University of Nice (France) maintains this site, which is highlighted by ten interactive mathematical exercises, including finding a polynomial with given values, decomposing a composed function, and finding the root of a function by successive tests.
Mathematical Theory of Knots You would suspect that a mathematician would love a good knot, and here's proof.
wwwold.ccc.commnet.edu /webpicks/weblist/math_list.htm   (757 words)

  
 Women Becoming Mathematicians - The MIT Press   (Site not responding. Last check: 2007-10-12)
During this period, American mathematical research enjoyed an unprecedented expansion, fueled by the technological successes of World War II and the postwar boom in federal funding for education in the basic sciences.
This book explores the complex interplay between the personal and professional lives of those women who embarked on mathematical careers during this period, with a view to understanding how changes in American society during the 1950s, 1960s, and 1970s affected their career development and identities as mathematicians.
Margaret A. Murray, formerly Professor of Mathematics at Virginia Tech, is a Visiting Professor of Mathematics and English at the University of Iowa.
mitpress.mit.edu /0262632462   (438 words)

  
 Courses - math.umn.edu
Mathematical background such as partial differential equations, Fourier series, computational methods, Black-Scholes theory, numerical methods (including Monte Carlo simulation), interest-rate derivative securities, exotic options, risk theory.
New approaches to teaching/learning, issues in mathematics education, components/expectations of a college mathematics professor.
Geometrical differential equations, i.e., theory of minimal surfaces and related structures (surfaces of constant or prescribed mean curvature, solutions to variational integrals involving surface curvatures), all extremals for variational problems of current interest as models for interfaces in real materials.
www.math.umn.edu /courses/course_list   (6146 words)

  
 DCCPS
This list identifies NIH scientific review administrators (SRAs) and program officials who review or support research on the relationships between psychological variables (e.g., stress, anger and other emotions) and health outcomes and the biological mechanisms (e.g., immune, endocrine and neural processes) that mediate these relationships [e.g., research in psychoneuroimmunology (PNI), neuroimmunomodulation (NIM)].
Research Supported: Mathematical methods related to the solution of biological problems, such as modeling, simulation, heuristic methods and computer sciences.
List originally compiled by Fred Altman, Ph.D. while at the National Institute of Mental Health.
dccps.nci.nih.gov /bimped/nih-contact-list.html   (1862 words)

  
 MOSP Esoterica
To provide a mathematics program for a select group of very promising students who have risen to the top on the American Mathematics Competitions.
To provide in depth enrichment in important mathematical topics to stimulate their continuing interest in mathematics and help prepare them for future study of mathematics.
To coach the IMO team, selected on the basis of the USA Mathematical Olympiad and further IMO type testing, to its highest level of performance in the IMO, and to achieve an atmosphere of comradeship and cooperation among the team and other participants which brings about feelings of cooperation and pride.
www.unl.edu /amc/a-activities/a6-mosp/factoidsmosp.shtml   (374 words)

  
 Pascal's Triangle - Terminology
What separates math from every other human endeavor is the idea of proof; a proof is supposed to be a way to persuade people that something is true, but in math that persuasion has to follow very precise rules, and we should replace the word “persuade” with “convince”.
There are several methods of proof, and the one that causes beginning students the most trouble is mathematical induction, which is used to prove a statement that must be true for an infinite number of examples.
A vector is a collection of numbers in a particular order; the cardinality of the collection is called the dimension of the vector; for instance (2, -1, 7) would be a 3-dimensional vector, which corresponds exactly to our idea of this being a point in 3-dimensional space.
www.math.uconn.edu /~troby/Hidden/4MattH/PTW/Terminology.html   (2506 words)

  
 Amazon.com: CRC Standard Mathematical Tables and Formulae, 31st Edition (Crc Standard Mathematical Tables and ...   (Site not responding. Last check: 2007-10-12)
The 31st Edition of the CRC Standard Mathematical Tables and Formulae is, without a doubt, the new and improved bible of mathematics.
The ready access of tables that may be needed in mathematical endeavors will make life much easier for engineers, scientists, mathematicians, or even for those who are in the process of studying these and related subjects.
I find the most useful sections are the table of integrals, derivatives, trig identities, geometric formulae, physical constants, and unit conversions (all lists are quite complete).
www.amazon.com /Standard-Mathematical-Tables-Formulae-31st/dp/1584882913   (1587 words)

  
 Advanced Math: Proving trig identities
I can answer questions in basic to advanced algebra (theory of equations, complex numbers), precalculus (functions, graphs, exponential, logarithmic, and trigonometric functions and identities), calculus (differentiation, limits, integration, sequences, infinite series), basic probability, and finite mathematics, including mathematical induction.
The proper technique is to write the identity and then, working on one side at a time, reduce the two sides to the identical expression (hence the term 'identity').
Sometimes you do all the work on one side, sometimes you do some work on each side, but you do NOT do things like add, subtract, multiply, divide as if this were an equation to be solved.
en.allexperts.com /q/Advanced-Math-1363/Proving-trig-identities-1.htm   (997 words)

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