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Topic: Product (mathematics)


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  Product (mathematics) - MSN Encarta
In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied.
Product (mathematics), result of the multiplication of two or more quantities.
For example, 8 is the product of 2 × 4 and 30 is the product of 5 * 6.
encarta.msn.com /encyclopedia_701614092/Product_(mathematics).html   (101 words)

  
 PlanetMath: product
The word product in mathematics generally means the result of some type of multiplication operation, i.e.
on vectors the scalar product, the vector product, the dyad product and the Hadamard product; on ideals the product of ideals;
Such kinds of product that are associative, allow to form a product of more than two factors, which is justified by the theorem in the entry general associativity.
planetmath.org /encyclopedia/Factor2.html   (195 words)

  
  Product
In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied.
When matrices or members of various other associative algebras are multiplied the product usually depends on the order of the factors; in other words, matrix multiplication, and the multiplications in those other algebras, are non-commutative.
The dot product and cross product are forms of multiplication of vectors.
www.ebroadcast.com.au /lookup/encyclopedia/pr/Product.html   (142 words)

  
 Springer Online Reference Works
A concept characterizing the notion of a Cartesian product in the language of morphisms.
The concept of the product of a family of objects is dual to that of a coproduct of a family of objects.
A product of the empty family of objects is a right zero (a terminal object) of the category.
eom.springer.de /p/p075030.htm   (293 words)

  
 Art11
Mathematics is a process of enquiry and coming to know, not a finished product, for its results remain open to revision.
At the next level is the Platonist view of mathematics, involving a global understanding of mathematics as a consistent, connected and objective structure.
These are the enacted (as opposed to espoused) model of teaching mathematics, the use of mathematics texts or materials, and the enacted (as opposed to espoused) model of learning mathematics.
www.geocities.com /rosney_zainal/ros1.htm   (1767 words)

  
 Paul Ernest Paper
The teacher's conception of the nature of mathematics, is his or her belief system concerning the nature of mathematics as a whole.
First of all, there is the instrumentalist view that mathematics is an accumulation of facts, rules and skills to be used in the pursuance of some external end.
The model of teaching mathematics is the teacher's conception of the type and range of teaching roles, actions and classroom activities associated with the teaching of mathematics.
www.people.ex.ac.uk /PErnest/impact.htm   (1805 words)

  
 Product
The order in which real or complex numbers are multiplied has no bearing on the product; this is known as the commutative law of multiplication.
When matrices or members of various other associative algebras are multiplied the product usually depends on the order of the factors; in other words, matrix multiplication, and the multiplications in those other algebras, are non-commutative.
The dot product and cross product are forms of multiplication of vectors.
www.fastload.org /pr/Product.html   (181 words)

  
 Jef Raskin - Effectiveness of Mathematics
In physics we often describe phenomena in terms of mathematical relationships between quantities that represent observable attributes of the natural world: Double the tension on a spring and the amount it extends doubles; the intensity of light from a point source changes precisely in inverse proportion to the square of the distance from the source.
But considering, in retrospect, that understanding of the physical world in terms of mathematics is a human trait, and that humans are biological creatures, I should not have been surprised that, once again, biology, and indeed one of the most powerful theories of biology, evolution, should provide a measure of understanding.
As we build mathematics we build it in conformity with the physical world because the foundations of logic, the very nature of what makes sense to us, was dictated by the physical world.
jef.raskincenter.org /unpublished/effectiveness_mathematics.html   (2164 words)

  
 math lessons - Product (mathematics)
In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied.
When matrices or members of various other associative algebras are multiplied the product usually depends on the order of the factors; in other words, matrix multiplication, and the multiplications in those other algebras, are non-commutative.
The dot product and cross product are forms of multiplication of vectors.
www.mathdaily.com /lessons/Product_(mathematics)   (155 words)

  
 Mathematics Worksheet Factory - Easily create professional-quality mathematics worksheets.   (Site not responding. Last check: )
Create professional-quality mathematics worksheets to provide students in grades K to 10 with the skills development and practice they need as part of a complete numeracy program.
Over 60 mathematics worksheet activities can be produced to advance and reinforce skills in number operations, number concepts, fractions, numeration, time, measurement, money, problem solving and more.
The worksheets that you create with Mathematics Worksheet Factory are not pre-designed but are randomly generated based on a complex set of algorithms corresponding to the specific mathematical structure of each type of worksheet.
www.schoolhousetech.com /products/mathematics/index.htm   (861 words)

  
 Development of the idea of the Vector Cross Product
The cross product, however, is partly the result of multiplying different components of two vectors to get a product vector that is at right angles to both of the original vectors and that has a magnitude equal to the area of the parallelogram that the two vectors frame.
The magnitude of the cross product is equivalent to the area of the parallelogram that the two vectors (a and b) describe, and the formula for the vector product is the same as the determinant for the array shown here.
He said that vector mathematics were considerably easier to use than quaternions and that vector mathematics could be discovered while using Cartesian mathematics through noting groups of calculations that repeat when working with the math for certain kinds of engineering applications.
www.rtis.com /nat/user/jfullerton/school/math251/cproduct.htm   (1138 words)

  
 Cartesian product   (Site not responding. Last check: )
In mathematics, given two sets X and Y, the Cartesian product (or direct product) of the two sets, written as X × Y is the set of all ordered pairs with the first element of each pair selected from X and the second element selected from Y. Explain That
In mathematics, given two sets X and Y, the Cartesian product (or direct product) of the two sets, written as X × Y is the set of all ordered pairs with the first element of each pair selected from X and the second element selected from Y.
The Cartesian product is named after Rene Descartes whose formulation of analytic geometry gave rise to this concept.
www.explainthat.info /ca/cartesian-product.html   (585 words)

  
 About Matt McManus and Mathematics University
After doing presentations in all 67 counties in Florida for a reform mathematics product, Matt McManus discovered that there was something missing in the textbook choices.
Most counties made it clear that the teachers were not quite ready to have a hands-on mathematical approach thrown at them.
Within 10 minutes of any workshop, his validity for the rest of the workshop is already clearly laid out and his vision of mathematics becomes an intense focus by all participants.
www.mathematicsuniversity.com /about.html   (512 words)

  
 The Unreasonable Effectiveness of Mathematics in Science and Engineering
Although our bodies may well be the product of random mutation and selection al the way from amoeba to man, our minds have some 'unevolved' dimension.
She will, however, have knowledge of mathematics, as mathematics arises from mind comtemplating emptiness, and needs no material objects or things to count.
Mathematics, however, provides an example of a rigorous science based on inner experience that is nonetheless verifiable.
kwelos.tripod.com /unreasonableeffectiveness.htm   (1323 words)

  
 Product - Wikipedia, the free encyclopedia
Product (chemistry), a substance found at the end of a chemical reaction
Product (project management), a physical entity created as a result of project work
Product (album), a musical recording by norwegian group De Press
en.wikipedia.org /wiki/Product   (117 words)

  
 - Delhi Public School R.K. Puram, New Delhi
Mathematics is taught as an abstract subject with no reference to applications where the emphasis is on routine problem solving.
The primary objective of the laboratory was to enrich mathematics at school level and to transmit the beauty of mathematics as a discipline to students by providing them with an environment, which encourages independent and original thinking through the ‘learning by discovery’ approach.
Presently the mathematics laboratory is a part of mainstream teaching where students meet once in a week in the allotted time and perform experiments and activities under the active guidance of the teacher.
www.dpsrkp.net /TechnologyCentre.htm   (2755 words)

  
 Product Detail: ExSim #1 for Praxis 0067
The Praxis General Mathematics Test 0067 is a national certification program designed to assess the knowledge and competencies of beginning teachers in the area of general mathematics.
This product consists of 248 multiple-choice and fill-in-the-blank questions based entirely upon the objectives published by the Praxis II national testing program.
She has taught a variety of classes, including sixth grade mathematics, geometry, advanced algebra, high school and adult chemistry, and advanced chemistry, as well as a wide range of computer courses.
www.boson.com /Product/ETS-ES-0067-01.html   (172 words)

  
 Mathematical Skills
As we recognise that students come to Leeds with different levels of mathematical experiences, we are contacting all applicants, unconditional and conditional, who have selected as firm our offer of a place on MDes/BDes (Hons) in Product Design for September 2003 entry.
At the time when we were running open days we anticipated evaluating the mathematics skills of every new student and registering them on one of a number of existing engineering mathematics modules.
Students who wish to take this mathematics module (Mathematical Methods for Mechanical Engineers) will be required to take a mathematics diagnostic test during Intro Week because the results of this test are used in the delivery of the module.
www.leeds.ac.uk /product-design/CC/mathsinfo.htm   (394 words)

  
 Writing to Learn Mathematics
In fact, several teachers and mathematics educators agree with Bell and Bell in suggesting that writing should become a part of the daily routine of every mathematics classroom, with the writing tasks carefully designed to reinforce the mathematics concept or skill being taught.
This limited view of mathematics is not the desired product of mathematics education.
Because writing in mathematics involves many of the thought processes teachers would like to foster in their students, every mathematics teacher should seriously consider the use of writing as a part of the daily routine of the mathematics class.
instruct1.cit.cornell.edu /courses/educ645/miller-writingtolearn.html   (3097 words)

  
 product | English | Dictionary & Translation by Babylon
Product may mean:Product (biology), something manufactured by an organelleProduct (business), an item that ideally satisfies a market's want or needProduct (chemistry), a substance found at the end of a chemical reactionProduct (mathematics), the result of multiplyingProduct (category theory), a more abstract product.
The number or sum obtained by adding one number or quantity to itself as many times as there are units in another number; the number resulting from the multiplication of two or more numbers; as, the product of the multiplication of 7 by 5 is 35.
Anything that is produced, whether as the result of generation, growth, labor, or thought, or by the operation of involuntary causes; as, the products of the season, or of the farm; the products of manufactures; the products of the brain.
www.babylon.com /definition/product/English   (226 words)

  
 Product Page   (Site not responding. Last check: )
They also present the impact of mathematics on modern psychology, sociology, and biology: for instance, one vignette discusses what mathematics has to say about fair voting systems in elections.
In Chapter 7, section 7.5 on trigonometric equations is rewritten to organize the topic more clearly and a section on the dot product of vectors has been added, at the request of users of the book.
MATHEMATICS IN THE MODERN WORLD vignettes show that mathematics is a living science crucial to the scientific and technological progress of recent times, as well as to the social, behavioral, and life sciences.
www.brookscole.com /cgi-brookscole/course_products_bc.pl?fid=M2&topic_code=2B62&discipline_number=1&product_isbn_issn=0534434215   (1385 words)

  
 Product -- from Wolfram MathWorld
More generally, it is possible to take the product of many different kinds of mathematical objects, including those that are not numbers.
For example, the product of two sets is given by the Cartesian product.
category theory, the product of objects is given using the category product.
mathworld.wolfram.com /Product.html   (142 words)

  
 Springer Online Reference Works
The products whose limit is the latter integral are also the evolution operators for the equations with piecewise-constant operators
over the product means that the factors with low indices are written to the right of the factors with high indices.
Formulas (1) and (2) can be generalized to certain classes of differential equations with unbounded operator functions, from which representations of the solutions of parabolic and Schrödinger-type partial differential equations in the form of integrals over the space of trajectories (path integrals, continual integrals, cf.
eom.springer.de /P/p075020.htm   (234 words)

  
 Mathematics and Computer Science Department - Computer Science Program
She teaches courses in mathematics and computer skills in a fifteen member department.
Mathematics and statistics were important in developing and implementing these quality improvement projects.
Courses in Mathematical Statistics and Quantitative Methods were especially important for her teaching career.
www.ric.edu /mathComputerScience/profiles_math_NKoczera.php   (279 words)

  
 Illuminations: Product Game
The product of the two marked numbers is determined, and that product is colored red for Player 2.
This Product Game Investigation was adapted with permission and guidance from Prime Time: Factors and Multiples, Connected Mathematics Project, G. Lappan, J. Fey, W Fitzgerald, S. Friel and E. Phillips, Dale Seymour Publications (1996), pp.
The National Council of Teachers of Mathematics is a public voice of mathematics education, providing vision, leadership, and professional development to support teachers in ensuring mathematics learning of the highest quality for all students.
illuminations.nctm.org /tools/tool_detail.aspx?id=29   (258 words)

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