Concepts inTowards a REDUCE solution to SIGSAM problem 7
SIGSAM
SIGSAM is the ACM Special Interest Group on Symbolic and Algebraic Manipulation. It publishes the ACM Communications in Computer Algebra and often sponsors the International Symposium on Symbolic and Algebraic Computation (ISSAC).
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Macsyma
Macsyma (Project MAC¿s SYmbolic MAnipulator) is a computer algebra system that was originally developed from 1968 to 1982 at MIT as part of Project MAC and later marketed commercially. It was the first comprehensive symbolic mathematics system and one of the earliest knowledge based systems; many of its ideas were later adopted by Mathematica, Maple, and other systems.
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Factorization
In mathematics, factorization (also factorisation in British English) or factoring is the decomposition of an object into a product of other objects, or factors, which when multiplied together give the original. For example, the number 15 factors into primes as 3 × 5, and the polynomial x ¿ 4 factors as (x ¿ 2)(x + 2). In all cases, a product of simpler objects is obtained.
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Degree of a polynomial
The degree of a polynomial is the highest degree of its terms, when the polynomial is expressed in canonical form (i.e. as a linear combination of monomials). The degree of a term is the sum of the exponents of the variables that appear in it. The word degree is now standard, but in some older books, the word order may be used instead. For example, the polynomial has three terms. (Notice, this polynomial can also be expressed as .
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Polynomial
In mathematics, a polynomial is an expression of finite length constructed from variables and constants, using only the operations of addition, subtraction, multiplication, and non-negative integer exponents. For example, x ¿ x/4 + 7 is a polynomial, but x ¿ 4/x + 7x is not, because its second term involves division by the variable x (4/x), and also because its third term contains an exponent that is not an integer (3/2).
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