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 13
... Conjecture A CONJECTURE due to J. Oesterlé and D. W. Masser . It states that , for any INFINITESIMAL € > 0 , there exists a CONSTANT C such that for any three RELATIVELY PRIME INTEGERS a , b , c satisfying € a + b = c , ( 3 ) ( 4 ) ...
... Conjecture A CONJECTURE due to J. Oesterlé and D. W. Masser . It states that , for any INFINITESIMAL € > 0 , there exists a CONSTANT C such that for any three RELATIVELY PRIME INTEGERS a , b , c satisfying € a + b = c , ( 3 ) ( 4 ) ...
Page 14
... conjecture states that for all € > 0 , there exists a constant K such that for all P : a + b + c , and c . 14 abc Conjecture The conjecture can also be stated by defining the height and radical of the sum P : a + b h ( P ) : = max { ln ...
... conjecture states that for all € > 0 , there exists a constant K such that for all P : a + b + c , and c . 14 abc Conjecture The conjecture can also be stated by defining the height and radical of the sum P : a + b h ( P ) : = max { ln ...
Page 20
... Conjecture )Z Z tion. 2 2 , and for instance, i?j?0j?i? in the Abelianiza- See also ABELIAN , GROUP , HOMOMORPHISM Abel-Plana Formula This entry contributed by DAVID ANDERSON The Abel-Plana formula gives an expression for the difference ...
... Conjecture )Z Z tion. 2 2 , and for instance, i?j?0j?i? in the Abelianiza- See also ABELIAN , GROUP , HOMOMORPHISM Abel-Plana Formula This entry contributed by DAVID ANDERSON The Abel-Plana formula gives an expression for the difference ...
Page 21
... Conjecture The Ablowitz - Ramani - Segur conjecture states that a nonlinear PARTIAL DIFFERENTIAL EQUATION is solva- ble by the INVERSE SCATTERING METHOD only if every nonlinear ORDINARY DIFFERENTIAL EQUATION ob- tained by exact ...
... Conjecture The Ablowitz - Ramani - Segur conjecture states that a nonlinear PARTIAL DIFFERENTIAL EQUATION is solva- ble by the INVERSE SCATTERING METHOD only if every nonlinear ORDINARY DIFFERENTIAL EQUATION ob- tained by exact ...
Page 64
... Conjecture of the Encyclopedia of Integer Sequences. j = 0 ( n + j ) ! ( 6 ) now proven to be true , was known as the ALTERNAT- ING SIGN MATRIX CONJECTURE . Let A ( n , k ) be the number of n × n alternating sign matrices with one in the ...
... Conjecture of the Encyclopedia of Integer Sequences. j = 0 ( n + j ) ! ( 6 ) now proven to be true , was known as the ALTERNAT- ING SIGN MATRIX CONJECTURE . Let A ( n , k ) be the number of n × n alternating sign matrices with one in the ...
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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