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Topic: Radical of an integer

	PlanetMath: radical of an integer
		The radical of a square-free number is itself.
		"radical of an integer" is owned by KimJ.
		This is version 6 of radical of an integer, born on 2001-10-15, modified 2004-02-26.
	planetmath.org /encyclopedia/SquareFreePart.html (69 words)

	PlanetMath: radical of an ideal
		"radical of an ideal" is owned by saforres.
		See Also: prime radical, radical of an integer, Jacobson radical, Hilbert's Nullstellensatz, algebraic sets and polynomial ideals
		This is version 10 of radical of an ideal, born on 2002-04-19, modified 2003-02-20.
	planetmath.org /encyclopedia/Radical.html (82 words)

	Patent 4064110: Process for the production of autocrosslinkable polymers containing n-alkoxymethyl groups
		The process of claim 2 wherein A is sodium, R is an aliphatic hydrocarbon radical having 2 to 12 carbon atoms and n is 0.
		C with substantially complete elimination of carbon dioxide from the 5-alkoxymethyl-1,3,4-dioxazol-2-ones, in the presence of a catalytically active quantity of a catalyst and optionally in the presence of an organic solvent, distinguished by the fact that at least one alkali metal salt of a carboxylic acid is used as the catalyst.
		A polyester with a hydroxy number of 293 and an acid number of 1.0 was prepared from 3 mols of trimethylol propane, 1 mol of hexane diol, 2 mols of phthalic acid and 1 mol of adipic acid, and was dissolved in ethylene glycol monomethyl ether acetate.
	www.freepatentsonline.com /4064110.html (4589 words)

	Polymercaptopolyamines as epoxy resin hardeners - US Patent 6759506 (Site not responding. Last check: 2007-10-14)
		wherein A is an (n+1)-valent aliphatic, cycloaliphatic, araliphatic or aromatic radical and n is an integer from 0 to 5,
		Examples of aliphatic radicals are ethylene, propylene, tetramethylene, hexamethylene, poly(oxyethylene), poly(oxypropylene), poly(oxytetramethylene), 2-methyl-1,5-pentanediyl, 2,2,4-trimethyl-1,6-hexanediyl, 2,4,4-trimethyl-1,6-hexanediyl and the radicals of aliphatic alcohols after removal of the OH groups, for example the radicals of trimethylolpropane, pentaerythritol and dipentaerythritol.
		Examples of aromatic radicals are phenyl, naphthyl, the radicals of bisphenols, for example bisphenol A, bisphenol F and dihydroxybiphenyl, and the radicals of phenol novolaks and cresol novolaks.
	www.patentstorm.us /patents/6759506.html (3567 words)

	Patent 4668356: Photolytic process for the formation of carbon-containing free radicals and its applications to free ...
		Process for the formation of carbon-containing free radicals R wherein thermal and/or photochemical energy is supplied to a thiocarbonyl-containing ester corresponding to the general formula (I): ##STR36## in which: R denotes a saturated or unsaturated, linear or branched, aliphatic or aromatic, acyclic or alternatively mono- or poly-cyclic or mono- or poly-heterocyclic, carbon-containing radical;
		n is an integer equal to 0, 1, 2 or 3.
		According to an additional characteristic of the present invention, the said thiocarbonyl-containing ester is brought to a temperature which is substantially between 20.degree.
	www.freepatentsonline.com /4668356.html (4278 words)

	Aminoimides - US Patent 5420234 (Site not responding. Last check: 2007-10-14)
		p is an integer of 2 to 100, ##STR15## is a mono- or polycyclic aromatic radical, and A
		The polyimides (I) are particularly characterized by an N--N linkage.
		An alternative method of formation of poly(ether imide)s is to first form the imide linkage and then by nucleophilic polymerization with a bisphenoxide from the polymer.
	www.patentstorm.us /patents/5420234.html (5162 words)

	Intermediate and College Algebra, Trigonometry, Precalculus (Site not responding. Last check: 2007-10-14)
		Radical expressions, negative integer exponents, and rational exponents are introduced (and irrational exponents at least hinted at), culminating in the concept of logarithm.
		Hence an important goal is to get the student to think in terms of multiple levels, sometimes considering a complicated subexpression as a single ``chunk" in a larger expression, while at other times carrying out manipulations within the subexpression.
		College Algebra is also an appropriate place to introduce the conic sections (ellipse, parabola, hyperbola), though this is somewhat less essential than the other topics.
	math.boisestate.edu /~grantham/CoreMathCourses/node5.html (685 words)

	[No title]
		The sign √ placed before a quantity, indicating extraction of the root designated by a raised integer.
		When extracting a square root, the raised integer is customarily omitted.
		The radical sign together with a horizontal bar extending from its top to the end of the expression from which a root is to be extracted.
	www.homoexcelsior.com /omega.db/datum/reference/radical_sign/7535 (54 words)

	Encyclopedia: Halton sequences (Site not responding. Last check: 2007-10-14)
		In statistics, Halton sequences are well-known quasi-random sequences, first introduced in 1960 as an alternative to pseudo-random number sequences.
		They were designed mainly for use in Monte Carlo simulations of integrals that do not have a closed-form expression in order to achieve variance reduction.
		A Halton sequence of length N thus consists of an initial cycle of length p-1, in addition to [N-(p-1)]DIV[p] “complete” cycles of length p, and, except in the case where (N+1)MOD(p)=0, also one “incomplete” final cycle of length (N+1)MOD(p).
	www.nationmaster.com /encyclopedia/Halton-sequences (309 words)

	Intermediate Algebra (3)
		An instructor will go over the test with you, but no test will be given back to you.
		No person shall be excluded from participation in, be denied the benefit of, or be subjected to discrimination under any program or activity of the College because of race, color, national origin, age, or handicap.
		Identify the maxima and minima of the function, the x-values where the function is increasing and decreasing, and the domain and range of the function).
	www.volstate.edu /NewSkills/IntermediateAlgebra/syllabus.html (1721 words)

	Course Catalog: 2004-2005
		An additional important consideration of the course is the resolution of design information into manufacturing information.
		This is an introductory course which traces the history of Rock N' Roll music from its rise as a blending of White and African-American music traditions amidst the youth-oriented culture of post-World War II America to its subsequent diversification and internationalization.
		With the assistance of a nursing faculty preceptor and an agency preceptor, students will identify personal and professional goals and objectives that will be met during the experience, select an appropriate clinical setting that will facilitate goal directed behaviors, and identify learning methods, experiences and role behaviors that will be used.
	webservices.raritanval.edu /docs/200510/catalog8.htm (10950 words)

	Clearing up the market cycle... best Radical Integer (Site not responding. Last check: 2007-10-14)
		If Periodia value is 26, that means that from the vary last maximum of its passed 26 ticks of time and we have "period length"/2-26 ticks of time to reverse point.
		Radical Integer -- from MathWorld Radical Integer -- from MathWorld A radical integer is a number obtained by closing the integers under addition, multiplication, subtraction, and root extraction.
		An example of such a number is {\root 3\of 7...
	ascot.pl /th/Fourier5/Radical-Integer.htm (508 words)

	Syllabus for Calculus III (Site not responding. Last check: 2007-10-14)
		Homework is an important commitment in a mathematics classroom.
		The instructor has the authority to assign a zero for the exercise or examination or to assign an F in the course in the case of academic misconduct.
		You may be allowed to drop only in the case of an extenuating circumstance.
	www.columbiastate.edu /williford/calculus_iii_syllabus.htm (748 words)

	[No title]
		John Cocke, an IBM fellow, had noticed that only a small subset of the IBM/360 instruction set was used most of the time and it was this subset which had the biggest impact on execution time.
		An important question is how the pipelines of different depth are coordinated so as to avoid collisions at the exit of the pipelines, when more than one unit could try to access the register file.
		The CPI of the M68020 is an enormous 6.7 [Serlin 1990].
	www.inf.fu-berlin.de /lehre/WS94/RA/RISC-9.html (12041 words)

	NSDL Metadata Record -- ABC conjecture
		for all mutually coprime integers A, B, C with...
		and rad is the radical of an integer.
		This conjecture was formulated by Masser and Oesterl\' e in 1980.
	nsdl.org /mr/1031077 (89 words)

	MATH 1710 College Algebra (Site not responding. Last check: 2007-10-14)
		If an error in grading is suspected, please talk to the instructor at the end of the class period.
		The instructor has the authority to assign a zero for the exercise or examination or to assign an "F" in the course if there is academic misconduct.
		If you have extenuating circumstances on the day of a test and are unable to take the test, it is your responsibility to contact the instructor prior to the test.
	www.columbiastate.edu /borren/DSPM0850/DSPM%200850%20FA%20Syllabus.htm (1105 words)

	Re: HELP! simplify fraction in radical (Site not responding. Last check: 2007-10-14)
		It is no harder than simplifying an integer radical, except that you have to work with both top and bottom.
		Now, for the nitpicky (which basic school math often is), you technically will have to go through a further simplification, in order to make the denominator an integer.
		So, to get simplest radical form, multiply by the denominator/demoninator = 1 and simplify the numerator, then simplify the fraction that you get multiplying the radical on the outside: i.e.
	www.mathguide.com /bbs/Messages2003/4231.html (180 words)

	Radical Suggestion for Integer Division Migration (Site not responding. Last check: 2007-10-14)
		Previous message: Radical Suggestion for Integer Division Migration
		Carl Banks writes: > Basically, have all integer division using the "/" operator throw an > exception during the transition period, unless "from __future__ import > division" appears in the module.
		What this does is essentially move a hot cut date for backwards compatibility right to the very first release that is built to transition to the new behavior.
	mail.python.org /pipermail/python-list/2001-July/057343.html (179 words)

	MAT 0024, Elementary Algebra
		This course is a study of the basic skills and concepts of elementary algebra from the view of a college student who needs an understanding of basic algebra.
		Major topics include language and operations on sets, operations on signed numbers, simple linear equations and inequalities in one variable, operations on polynomials (including begining techniques of factoring), integer exponents, brief introduction to radicals, introduction to graphing, and applications.
		determining if a linear equation in one variable is a conditional equation, an identity or has no solution.
	www.spcollege.edu /clw/math_science/courses/MAT0024.htm (408 words)

	Encyclopedia: Algebraic integer (Site not responding. Last check: 2007-10-14)
		where P(x) is a monic polynomial (that is, the coefficient of the largest power of x in P(x) is one) with integer coefficients.
		All algebraic integers are therefore algebraic numbers, but it can be shown that not all algebraic numbers are algebraic integers.
		Click for other authoritative sources for this topic (summarised at Factbites.com).
	www.nationmaster.com /encyclopedia/Algebraic-integer (252 words)

	MAT 0024 Objectives
		The student will demonstrate mastery of algebraic algorithms relative to subsets of the real numbers, numerical expressions, algebraic expressions, linear equations and inequalities, quadratic equations and graphing of linear equations by applying the necessary algebraic manipulations by:
		determining if a linear equation in one variable is a conditional equation, an identity or has no solution.
		applying the rules of exponents to algebraic expressions involving integer exponents.
	www.spjc.edu /se/Math/MAT0024/0024Objectives.htm (307 words)

	Ascii to Integer (Site not responding. Last check: 2007-10-14)
		I am trying to obtain the Integer value of the first series of Digits (left-most characters) found in a string...
		In each case, I need a routine smart enough to be able to return: 1 (as integer) 123 (as integer) 15 (as integet) when Val(Str, intVar, errpos) is used, then all I ever get is intVar == 0 and errpos == 1,2,3, etc...
		Another factor here that I've noticed: C offers the means to set the Base of the value to be parsed from a string, I see no such function offered in the TP/BP or FreePascal default supplied library....
	www.talkaboutprogramming.com /group/comp.lang.pascal.misc/messages/29740.html (256 words)

	Science Fair Projects - Algebraic integer
		Or else, you can start by choosing any of the categories below.
		Science kits, science lessons, science toys, maths toys, hobby kits, science games and books - these are some of many products that can help give your kid an edge in their science fair projects, and develop a tremendous interest in the study of science.
		When shopping for a science kit or other supplies, make sure that you carefully review the features and quality of the products.
	www.all-science-fair-projects.com /science_fair_projects_encyclopedia/Algebraic_integer (374 words)

	Syllabus
		Graph and analyze quadratic functions (identify the vertex, x-intercept(s), and y-intercept; identify the maxima and minima of the function; the x-values where the function is increasing and decreasing; and the domain and range of the function)
		The last date to withdraw without a failing mark is June 17.
		You will also be asked to leave an empty seat between you and your neighbor.
	www.mmccoy.columbiastate.edu /DSPM0850/DSPM0850Syllabus.htm (1031 words)

	[No title] (Site not responding. Last check: 2007-10-14)
		ReadingID (integer) Sequential identifier JISDec (integer) JIS decimal value (to join with other tables) Kun (bit) 0 if not a "kun" reading Class (integer) Reading class (Tn) Reading (text (255)) Reading of the kanji (hiragana or katakana) KanjiKoreanReading -- Korean readings of each kanji.
		KoreanReadingID (integer) Sequential identifier JISDec (integer) JIS decimal value (to join with other tables) KoreanReading (text (255)) Korean reading of the kanji KanjiPinyin -- "Pinyin" of each kanji.
		PinyinID (integer) Sequential identifier JISDec (integer) JIS decimal value (to join with other tables) Pinyin (text (7)) Pinyin of the kanji Some Access queries have also been included as examples of how to retrieve data from several tables.
	www.bcit-broadcast.com /monash/kanjidic_access.txt (714 words)

	Language change and code breaks (Site not responding. Last check: 2007-10-14)
		Sorry to come into this debate rather late, but in my programming community (mission critical systems) both case sensitivity /and/ case insensitivity are seen as problematic and a rich source of bugs.
		The hardliners would have it be an error to have two identifiers differing only in case, the moderates would have it produce a warning.
		I /don't/ think the language should be changed -- I'm already finding it impossible to get anybody to adopt Python because of the (perceived?) instability of the language spec.
	mail.python.org /pipermail/python-list/2001-July/056932.html (484 words)

	radical integer - OneLook Dictionary Search (Site not responding. Last check: 2007-10-14)
		We found one dictionary with English definitions that includes the word radical integer:
		Tip: Click on the first link on a line below to go directly to a page where "radical integer" is defined.
		Radical Integer : Eric Weisstein's World of Mathematics [home, info]
	public.onelook.com /?w=radical+integer (72 words)

	[No title] (Site not responding. Last check: 2007-10-14)
		In 1-5, state the index and the radicand of the radical.
		In 6-15, find the principal square root of the number.
		In 16-30, express the radical as integer(s), fractions, or decimals.
	www.livoniacsd.org /highschool/Departments/Math/Barnes/Course%202A/radical%20intro.htm (31 words)

	add (Site not responding. Last check: 2007-10-14)
		First there is a check whether a or b is an empty object, if yes the second one is copied to the first one, and the routine finishes.
		Then there is a call to the specific add routine for the entered objects.
		not all possible combinations are implemented If you enter for example add(a,a,a) with a a POLYNOM object, there is first a copy then an addition, even if a merge would be faster.
	www.mathe2.uni-bayreuth.de /axel/help/add_help.html (134 words)

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