By Eric W. Weisstein
Upon booklet, the 1st version of the CRC Concise Encyclopedia of arithmetic received overwhelming accolades for its unheard of scope, clarity, and application. It quickly took its position one of the best promoting books within the heritage of Chapman & Hall/CRC, and its attractiveness keeps unabated.
Yet additionally unabated has been the commitment of writer Eric Weisstein to accumulating, cataloging, and referencing mathematical evidence, formulation, and definitions. He has now up-to-date many of the unique entries and extended the Encyclopedia to incorporate one thousand extra pages of illustrated entries.
The accessibility of the Encyclopedia in addition to its vast assurance and comparatively cheap cost make it appealing to the widest attainable variety of readers and definitely a needs to for libraries, from the secondary to the pro and examine degrees. For mathematical definitions, formulation, figures, tabulations, and references, this is often easily the main remarkable compendium available.
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With Jordan, J. ; and Wisner, R. ” Amer. Math. Monthly 88, 686-689, 1979. Sloane, N. J. ” Aleksandrov-Tech Cohomology which satisfies all the EILENBERG-STEENROD AXIOMS with the possible exception of the LONG EXACT SEQUENCE OF A PAIR AXIOM, as well as a certain additional continuity CONDITION. A theory References Hazewinkel, M. ). Encyclopaedia of Mathand Annotated Translation of the Encyclopaedia. ” Dordrecht, Netherp. 68, 1988. ematics: An Updated Soviet “‘Mathematical lands: Reidel, Aleksandrov’s Uniqueness properties satisfied Theorem A convex body in EUCLIDEAN n-space that is centrally symmetric with center at the ORIGIN is determined among all such bodies by its brightness function (the VOLUME of each projection).
Ser. A 76, 44-54, 1996. Ruskey, F. ” http:// sue . csc . uvic . ca / Y cos / inf / perm / Alternating . html. Sloane, N. J. A. ” References Kauffman, Math. L. “Combinatorics 20, 181-200, 1983. and A3 The altitudes of a TRIANGLE are the CEVIANS A&& which are PERPENDICULAR to the LEGS A& opposite Ai. They have lengths hi s A& given by hi sin ai+ = ai+l 22/ ( s hl = s - = ai+ sin ai+l - - al)(s a~)(5 and hlh2h3 = 2s~l - k-f1 IE ( 1) ak Or 00 x(-l)“ake (1) a3) > where s is the SEMIPERIMETER interesting FORMULA is 00 k=l Contemp.
An algebraic surface is said to be of degree n = max(i + j + k), where n is the maximum sum of powers of all terms umx~myjmZkm, The following table lists the names of algebraic surfaces of a given degree. Order Surface 3 4 5 6 7 8 9 10 (1) are algebraic numbers, then any ROOT of this equation is also an algebraic number. If a is an algebraic POLYNOMIAL Number see NUMBER FIELD or where the ais are INTEGERS and T satisfies no similar equation of degree < n, then T is an algebraic number of degree n.
Concise Encyclopedia Mathematics by Eric W. Weisstein