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 |
From inside the book
Results 1-5 of 76
Page 31
... Knot 31 32 Adiabatic Invariant c ( K1 # K2 ) = References Hinden , H. J. " The Additive Persistence of a Number ... Knot A class of KNOTS containing the class of ALTERNATING KNOTS . Let c ( K ) be the CROSSING NUMBER . Then for KNOT SUM ...
... Knot 31 32 Adiabatic Invariant c ( K1 # K2 ) = References Hinden , H. J. " The Additive Persistence of a Number ... Knot A class of KNOTS containing the class of ALTERNATING KNOTS . Let c ( K ) be the CROSSING NUMBER . Then for KNOT SUM ...
Page 44
... KNOT K. Any generator of a principal Alexander ideal is called an ALEXANDER POLYNOMIAL . Because the ALEXANDER INVARIANT of a TAME KNOT in S3 has a SQUARE presentation MATRIX , its Alexander ideal is PRINCIPAL and it has an ALEXANDER ...
... KNOT K. Any generator of a principal Alexander ideal is called an ALEXANDER POLYNOMIAL . Because the ALEXANDER INVARIANT of a TAME KNOT in S3 has a SQUARE presentation MATRIX , its Alexander ideal is PRINCIPAL and it has an ALEXANDER ...
Page 45
... KNOT in S3 has a SQUARE , its ALEXANDER IDEAL presentation MATRIX is PRINCIPAL and it has an Alex- ander polynomial denoted D(t). / Let C be the MATRIX PRODUCT of a KNOT of BRAID WORDS , then det(1 ( C) , 0DL (1) 1 ' t ' ... ' tn(1 ...
... KNOT in S3 has a SQUARE , its ALEXANDER IDEAL presentation MATRIX is PRINCIPAL and it has an Alex- ander polynomial denoted D(t). / Let C be the MATRIX PRODUCT of a KNOT of BRAID WORDS , then det(1 ( C) , 0DL (1) 1 ' t ' ... ' tn(1 ...
Page 49
... Knot 49 on COMPLEX NUMBERS . In fact , if ELEMENTARY OPERA- TIONS are allowed on real numbers only , then there are ... Knot A single component ALGEBRAIC LINK . Most knots up to 11 crossings are algebraic , but they quickly become ...
... Knot 49 on COMPLEX NUMBERS . In fact , if ELEMENTARY OPERA- TIONS are allowed on real numbers only , then there are ... Knot A single component ALGEBRAIC LINK . Most knots up to 11 crossings are algebraic , but they quickly become ...
Page 50
... KNOT , ALGEBRAIC TANGLE , FIBRATION , TANGLE References Adams , C. C. The Knot Book : An Elementary Introduction to the Mathematical Theory of Knots . New York : W. H. Freeman , pp . 48-9 , 1994 . Bonahon , F. and Siebermann , L. " The ...
... KNOT , ALGEBRAIC TANGLE , FIBRATION , TANGLE References Adams , C. C. The Knot Book : An Elementary Introduction to the Mathematical Theory of Knots . New York : W. H. Freeman , pp . 48-9 , 1994 . Bonahon , F. and Siebermann , L. " The ...
Other editions - View all
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