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Topics related to "algebra"

algebra
algebra branch of mathematics concerned with operations on sets of numbers or other elements that are often represented by symbols. Algebra is a generalization of arithmetic and gains much of its power from dealing symbolically with elements and operations (such as addition and multiplication) ... Read more
algebraic geometry
algebraic geometry branch of geometry , based on analytic geometry , that is concerned with geometric objects (loci) defined by algebraic relations among their coordinates (see Cartesian coordinates ). In plane geometry an algebraic curve is the locus of all points satisfying the polynomial eq... Read more
Boolean algebra
Boolean algebra , an abstract mathematical system primarily used in computer science and in expressing the relationships between sets (groups of objects or concepts). The notational system was developed by the English mathematician George Boole c.1850 to permit an algebraic manipulation of logic... Read more
scalar
scalar quantity or number possessing only sign and magnitude, e.g., the real numbers (see number ), in contrast to vectors and tensors ; scalars obey the rules of elementary algebra. Many physical quantities have scalar values, e.g., length, area, mass, energy, and electric charge. Such quantit... Read more
curve
curve in mathematics, a line no part of which is straight; more generally, it is considered to be any one-dimensional collection of points, thus including the straight line as a special kind of curve. In analytic geometry a plane curve is usually considered as the graph of an equation or function, ... Read more
Emmy Noether
Emmy Noether (Amalie Emmy Noether) , 1882-1935, German mathematician, b. Erlangen, Germany, grad. Univ. of Erlangen (Ph.D. 1908). She made important contributions to the development of abstract algebra, which studies the formal properties, e.g., associative law , commutative law , and distribut... Read more
multiplication
multiplication fundamental operation in arithmetic and algebra. Multiplication by a whole number can be interpreted as successive addition. For example, a number N multiplied by 3 is N + N + N. In general, multiplying positive numbers N and M gives the area of the rectangle with sides ... Read more
factor
factor in arithmetic, any number that divides a given number evenly, i.e., without any remainder. The factors of 12 are 1, 2, 3, 4, 6, and 12. Similarly in algebra, any one of the algebraic expressions multiplied by another to form a product is a factor of that product, e.g., a + b and a - b ar... Read more
arithmetic
arithmetic branch of mathematics commonly considered a separate branch but in actuality a part of algebra . Conventionally the term has been most widely applied to simple teaching of the skills of dealing with Numbers for practical purposes, e.g., computation of areas, proportions, costs, and ... Read more
David Hilbert
David Hilbert (1862-1943), German mathematician, professor at Königsberg (1886-95) and Göttingen (1895-1930), b. Königsberg, Germany. His proof of the theorum of invariants (1890) supplanted earlier computational work on the subject and paved the way for modern algebraic geometry. His... Read more

Encyclopedia entries related to "algebra"

Algebra
Encyclopedia entry from: The Gale Encyclopedia of Science Algebra Algebra is a generalization of arithmetic. In practice, it is a collection of...unchanged while increasing their meaningfulness for human beings. Elementary algebra grew out of a desire to solve problems in arithmetic. Its power stems...
Boolean algebra
Encyclopedia entry from: The Gale Encyclopedia of Science Boolean algebra Boolean algebra is often referred to as the algebra of logic. The English mathematician George Boole (1815 – 1864), who is largely responsible for its beginnings, was the first to apply algebraic techniques to logical...
Linear Algebra
Encyclopedia entry from: The Gale Encyclopedia of Science Linear Algebra Linear algebra includes vector algebra, matrix algebra, and the theory of vector spaces. Linear algebra originated as the study of linear equations, including the solution of simultaneous linear equations. Simultaneous equations...
algebra
Book article from: The Columbia Encyclopedia, Sixth Edition algebra branch of mathematics concerned with operations...that are often represented by symbols. Algebra is a generalization of arithmetic and gains...and b represent. Principles of Classical Algebra In elementary algebra letters are used...
Boolean Algebra
Encyclopedia entry from: UXL Encyclopedia of Science Boolean algebra Boolean algebra is a form of mathematics developed by English mathematician George...statement be represented by the symbol Q. The rules of Boolean algebra can be used to find out the consequences of various combinations...
Matrix Algebra
Encyclopedia entry from: International Encyclopedia of the Social Sciences Matrix Algebra Real numbers can be used to convey one-dimensional information, such...x2019; s expenditure on entertainment. Matrix is a concept of linear algebra, and it has wide applications in many fields, including economics...
Mathematics Learning
Encyclopedia entry from: Encyclopedia of Education MATHEMATICS LEARNING algebra mitchell j. nathan complex problem...verschaffel brian greer erik de corte ALGEBRA Algebraic reasoning is a major development...advancement of mathematics and science. Algebra provides a succinct notation for recording...
mathematics
Book article from: The Columbia Encyclopedia, Sixth Edition ...Mathematics is very broadly divided into foundations, algebra, analysis, geometry, and applied mathematics...constitutes a universal mathematical language. Algebra Historically, algebra is the study of solutions of one or several algebraic...
Viète, François (1540–1603)
Encyclopedia entry from: Europe, 1450 to 1789: Encyclopedia of the Early Modern World ...te is widely viewed as the founder of modern algebra. Born in Fontenay-le-Comte in the province...influential work, however, was undoubtedly in algebra. The field known as "algebra," he contended, was not, in fact, an achievement...
Fundamental Theorems
Encyclopedia entry from: The Gale Encyclopedia of Science ...of arithmetic, fundamental theorem of algebra, and fundamental theorem of calculus...combination. The fundamental theorem of algebra asserts that every polynomial equation...of basic or fundamental importance to algebra and the solution of polynomial equations...

Dictionary entries related to "algebra"

computable algebra
Book article from: A Dictionary of Computing computable algebra An algebra that can be faithfully implemented or represented on a computer...natural numbers (and the Church–Turing thesis ). An algebra is computable if (a) there is a mapping α : Ω...
initial algebra
Book article from: A Dictionary of Computing initial algebra An algebra A , from some class of algebras C , such that for every algebra B in C there is a unique homomorphism from A to B . Such an algebra is said to be initial in the class C or, more precisely, initial in the category that...
process algebra
Book article from: A Dictionary of Computing process algebra The algebraic study of abstract computing processes. Suppose that...communication and cooperation between processes are at the heart of process algebra. Process algebra studies semantic ideas using mainly standard algebraic methods...
Boolean algebra
Book article from: A Dictionary of Computing Boolean algebra An algebra that is particularly important in computing. Formally it is a complemented distributive lattice . In a Boolean algebra there is a set of elements B that consists of only 0 and 1. Further...
minimal algebra
Book article from: A Dictionary of Computing minimal algebra An algebra generated by elements named as constants in its signature . Every element of the algebra can be constructed by finitely many applications of the basic operations...
algebra
Book article from: A Dictionary of Computing algebra 1. The investigation of mathematical properties...operations AND, OR, and NOT (see also Boolean algebra );(c) the set of all finite strings...intersection , and complement (see also set algebra ). In computer science, however, it...
numerical linear algebra
Book article from: A Dictionary of Computing numerical linear algebra A fundamentally important subject that...theory and practice of processes in linear algebra. Principally these involve the central...k = λ k x k Numerical linear algebra forms the basis of much scientific computing...
set algebra
Book article from: A Dictionary of Computing set algebra The algebra that consists of the set of subsets of some universal set U together with the associated operations of union , intersection , and complement . The set of subsets associated with set algebra is sometimes described as the power set of U .
algebra system
Book article from: A Dictionary of Computing algebra system An interactive system that performs the operations of algebra (simplification, factorization, multiplying out brackets, etc.) on algebraic expressions typed in by the user. These systems are increasingly used in “...
switching algebra
Book article from: A Dictionary of Computing switching algebra A term that is virtually synonymous with Boolean algebra when applied to the analysis and synthesis of logic (switching) circuits.

Thesaurus entries related to "algebra"

ground
Book article from: The Oxford Pocket Thesaurus of Current English ...behavior synonyms : base, found, establish, set, settle. phrase: ground in   a calculus course for those grounded in algebra synonyms : teach, instruct in, coach in, tutor in, train in, drill in, educate in, school in, prepare in, initiate...
drop
Book article from: The Oxford American Writers Thesaurus ...depreciate; fall, decline, dwindle, sink, slump, plunge, plummet, drop off. antonym: increase.   8. you can drop algebra if you wish synonyms : give up, drop out of, finish with, withdraw from; discontinue, end, stop, cease, halt; abandon...
exercise
Book article from: The Oxford Pocket Thesaurus of Current English ...of patience synonyms : employment, use, application, utilization, implementation, practice, operation, exertion, discharge, accomplishment.   3. an algebra exercise synonyms : problem, task, piece of work; practice.
ahead
Book article from: The Oxford Pocket Thesaurus of Current English ...before.   2. ahead of time synonyms : in advance of, before, earlier than.   3. he's ahead of us in algebra synonyms : further (on) than, more advanced than, superior to, outdistancing. antonyms: behind; after.
mathematical
Book article from: The Oxford American Writers Thesaurus ...punctilious, scientific, strict, precise, exact, accurate, pinpoint, correct, careful, unerring. Branches of Mathematics algebra analysis applied mathematics arithmetic calculus combinatorics computational mathematics conics differential calculus foundations...

Related newspaper, magazine, and trade journal articles from HighBeam Research

Algebra Poses a Problem of Timing; Not Taking Class Early Could Close Gateway to Sciences
Newspaper article from: The Washington Post; 8/18/2002; ; 700+ words ; ...40 percent of its eighth-graders in algebra last school year, compared with 20 percent...disparities exist throughout the country as algebra becomes the focus of a major overhaul...said they want every student completing algebra -- a gateway to higher math and science...
Algebra proficiency slipping in S.J.: Years after state steps up pace, many still struggle to adapt to tougher eighth-grade standards.
Newspaper article from: Record (Stockton, CA); 8/27/2007; 700+ words ; ...STOCKTON -- Students who do not learn algebra cannot expect to fulfill graduation requirements...standards, trying to figure out how to teach algebra in eighth grade and how to ready students...percent of students in public schools taking algebra showed proficiency on 2007 standardized...
Algebra: changing the equation: support programs decrease math anxiety and help students succeed.(CURRICULUM)
Magazine article from: District Administration; 5/1/2008; ; 700+ words ; ...scientists, she highlighted the importance of algebra. "The panel's research showed that if students do well in algebra, then they are more likely to succeed...all school districts provide access to algebra for all prepared students--including...
Algebra's at-risk solution: districts deploy software to enhance and accelerate algebra instruction.(AT-RISK STUDENTS)
Magazine article from: District Administration; 10/1/2006; ; 700+ words ; Algebra wields an incredible amount of power in...Los Angeles Superintendent Roy Romer says algebra triggers more dropouts than any other single...standards are evolving. More states require algebra for high school graduation, which means...
Algebra = X in One School, Y in Another; Teaching Inconsistent as Standards Waver
Newspaper article from: The Washington Post; 8/19/2002; ; 700+ words ; ...articles After taking Maryland's state algebra test this year, Susan Gruenspecht's...County wanted to know: Where was the algebra? They were not alone. University of...Jerome Dancis called the test "pretend algebra." Montgomery County parent John Hoven...
Algebra plan will cost state billions
Newspaper article from: Oakland Tribune; 8/12/2008; ; 700+ words ; ...that in order for the new eighth-grade Algebra I requirement to work, the state needs...middle school students to be tested in Algebra I by the end of eighth grade. "We cannot...the standardized test taken by pre-algebra students -- in three years. In doing...
ALGEBRA MARKS TURNING POINT.(Kentucky Life: Education)
Newspaper article from: The Kentucky Post (Covington, KY); 11/29/2005; 700+ words ; ...Hall Q: Should middle-school students take algebra? I don't think eighth-grade students are ready for algebra, and my son is struggling in the class. A: Most educators agree that algebra is the key to rigorous and demanding math programs...
ALGEBRA IS EVERYWHERE, INCLUDING STATE STANDARDS.(LOCAL)
Newspaper article from: The Virginian Pilot; 1/24/2000; ; 700+ words ; ...Edward Pickett is cooking now. So are his Algebra 1 students. He's pacing. He's pointing...answer. They're applying their new algebra know-how to an early lesson from the...city, and then the state, made passing algebra a requirement for graduating from high...
Algebra woes upset Smith's program
Newspaper article from: Capital (Annapolis); 1/4/2004; ; 700+ words ; ...all county ninth-graders enrolled in algebra brought home a D or an E on their first...high schools were in danger of failing Algebra I for the first semester, and three schools...He has reversed his decision to make algebra the lowest-level math offered in county...
'Algebra Readiness' - the Key to Math Success for California's Students
Newspaper article from: U.S. Newswire; 3/19/2008; 700+ words ; ...Panel centered around the importance of algebra readiness, a priority already identified...consideration of innovative, research-based algebra- readiness courses from Pearson, customized...s report underscores the importance of algebra-readiness instruction and validates...