CRC Concise Encyclopedia of MathematicsUpon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d |
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Page 17
... ROOT of the equation f ( x ) = 0 , which is irredu- cible over a FIELD K , is also a ROOT of the equation F ( x ) = 0 in K , then all the ROOTS of the irreducible equation f ( x ) = 0 are ROOTS of F ( x ) = 0. Equivalently , F ( x ) can ...
... ROOT of the equation f ( x ) = 0 , which is irredu- cible over a FIELD K , is also a ROOT of the equation F ( x ) = 0 in K , then all the ROOTS of the irreducible equation f ( x ) = 0 are ROOTS of F ( x ) = 0. Equivalently , F ( x ) can ...
Page 31
... ROOT of n . For example , the sequence obtained from the starting number 9876 is ( 9876 , 30 , 3 ) , so 9876 has an additive persistence of 2 and a DIGITAL ROOT of 3. The additive persistences of the first few positive integers are 0 ...
... ROOT of n . For example , the sequence obtained from the starting number 9876 is ( 9876 , 30 , 3 ) , so 9876 has an additive persistence of 2 and a DIGITAL ROOT of 3. The additive persistences of the first few positive integers are 0 ...
Page 49
... ROOT of the POLYNOMIAL equation xn + an - 1 -1 .n + + a1x + ao = 0 , where the as are INTEGERS and r satisfies no similar equation of degree < n , then r is called an algebraic integer of degree n . An algebraic integer is a special ...
... ROOT of the POLYNOMIAL equation xn + an - 1 -1 .n + + a1x + ao = 0 , where the as are INTEGERS and r satisfies no similar equation of degree < n , then r is called an algebraic integer of degree n . An algebraic integer is a special ...
Page 50
... ROOT of the POLYNOMIAL equation n- 1 + · а。x2 + а1x1- + an_1x + an = 0 , ( 1 ) where the a2s are INTEGERS and r satisfies no similar equation of degree < n , then r is an algebraic number of degree n . If r is an algebraic number and a ...
... ROOT of the POLYNOMIAL equation n- 1 + · а。x2 + а1x1- + an_1x + an = 0 , ( 1 ) where the a2s are INTEGERS and r satisfies no similar equation of degree < n , then r is an algebraic number of degree n . If r is an algebraic number and a ...
Page 73
... ROOT consider function analytic f(z)0 / ffiffiffi z continuation . Although of the this func- tion is not globally ... ROOT function, and the light blue region indicated the negative square root. How- ever, by continuing the function ...
... ROOT consider function analytic f(z)0 / ffiffiffi z continuation . Although of the this func- tion is not globally ... ROOT function, and the light blue region indicated the negative square root. How- ever, by continuing the function ...
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Common terms and phrases
Abramowitz Academic Press Addison-Wesley Algebraic ALGORITHM Amer ANGLE ARCHIMEDEAN SOLID Arfken AXIOM Bernoulli BESSEL FUNCTION BETA FUNCTION BINOMIAL COEFFICIENT Boca Raton BROCARD Calculus called Cambridge University Press CIRCLE Combinatorics COMPLEX NUMBER Comput CONIC Conjecture constant Continued Fractions Convex COORDINATES Coxeter CRC Press CUBE Cubic curve CYCLOID defined denoted Dictionary of Curious Differential Equations Differential Geometry digits Diophantine Equation Dirichlet Discrete Mathematics DISTRIBUTION DIVISOR DIVISOR FUNCTION Dover Encyclopedia of Integer England ffiffiffi finite FORMULA Geometry given Graph Theory GROUP HYPERGEOMETRIC identity Integer Sequences intersection JOHNSON SOLID KNOT Math Mathematica Mathematical Tables MATRIX N. J. A. Sequences Number Theory On-Line Version Penguin Dictionary PLANE points POLYGON POLYHEDRON POLYNOMIAL POLYOMINO PRIME Problem References RIEMANN ZETA FUNCTION SERIES Skiena Sloane Sloane's solution SPACE Springer-Verlag SQUARE Stegun SURFACE TANGENT THEOREM TION Topology TRANSFORM TRIANGLE VECTOR Weisstein Wiley York