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Every and positive
Every positive integer n > 1 can be represented in exactly one way as a product of prime powers:
< li > Every positive definite matrix is invertible and its inverse is also positive definite.
Every positive integer appears exactly once somewhere on this list.
Every positive real number x has a single positive nth root, which is written.
Every non-zero number x, real or complex, has n different complex number nth roots including any positive or negative roots, see complex roots below.
Every line of a GEDCOM file begins with a level number where all top-level records ( HEAD, TRLR, SUBN, and each INDI, FAM, OBJE, NOTE, REPO, SOUR, and SUBM ) begin with a line with level 0, while other level numbers are positive integers.
Every positive rational number can be represented by an Egyptian fraction.
* Every subset of may be covered by a finite set of positive orthants, whose apexes all belong to
* Every positive integer can be written as the sum of 73 or fewer sixth powers ( see Waring's problem ).
Every positive integer is the sum of at most 37 fifth powers ( see Waring's problem ).
* Every positive integer except 1 is a PV number.
Every positive integer can be expressed as the sum of at most 19 fourth powers ; every sufficiently large integer can be expressed as the sum of at most 16 fourth powers ( see Waring's problem ).
A finitely-generated abelian group is indecomposable if and only if it is isomorphic to Z or to a factor group of the form for some prime number p and some positive integer n. Every finitely-generated abelian group is a direct sum of ( finitely many ) indecomposable abelian groups.
Every C *- algebra has an approximate identity of positive elements of norm ≤ 1 ; indeed, the net of all positive elements of norm ≤ 1 ; in A with its natural order always suffices.
' Every positive law, or every law simply and strictly so called, is set, directly or circuitously, by a sovereign person or body, to a member or members of the independent political society wherein that person or body is supreme.
Every positive rational number can be expanded as an Egyptian fraction.
Every positive integer is the sum of at most 143 seventh powers ( see Waring's problem ).
Every residue class in this group contains exactly one square free integer, and it is common, therefore, only to consider square free positive integers, when speaking about congruent numbers.
Every positive rational number q may be expressed as a continued fraction of the form

Every and number
Every real number, whether integer, rational, or irrational, has a unique location on the line.
Every real number has a ( possibly infinite ) decimal representation ; i. e., it can be written as
Every node has a location, which is a number between 0 and 1.
The album's lead single, " She's Every Woman " peaked at number-one on the Billboard Country Chart, however its follow-up single, " The Fever " ( a cover of an Aerosmith song ) only peaked at number 23, becoming Brooks's first released Country single to not chart on the Top 10.
Every rational number has a unique representation as an irreducible fraction.
Every year the International Labour Conference's Committee on the Application of Standards examines a number of alleged breaches of international labour standards.
Every year from 1985 through 1993, the number of attendees tripled.
Every LORAN chain in the world uses a unique Group Repetition Interval, the number of which, when multiplied by ten, gives how many microseconds pass between pulses from a given station in the chain.
Every vector space has a basis, and all bases of a vector space have the same number of elements, called the dimension of the vector space.
Every ketose will have 2 < sup >( n-3 )</ sup > stereoisomers where n > 2 is the number of carbons.
Every aldose will have 2 < sup >( n-2 )</ sup > stereoisomers where n > 2 is the number of carbons.
The second single from the UK release was " With Every Heartbeat ", released in late July and reached number one on the UK singles chart.
# Every simple path from a given node to any of its descendant leaves contains the same number of black nodes.
Every non-negative real number a has a unique non-negative square root, called the principal square root, which is denoted by, where √ is called the radical sign or radix.
Every number is thought of as a decimal fraction with the initial decimal point omitted, which determines the filing order.
Every well-ordered set is uniquely order isomorphic to a unique ordinal number, called the order type of the well-ordered set.
Every twin prime pair except ( 3, 5 ) is of the form ( 6n − 1, 6n + 1 ) for some natural number n, and with the exception of < var > n </ var > = 1, < var > n </ var > must end in 0, 2, 3, 5, 7, or 8.
Every third odd number is divisible by 3, which requires that no three successive odd numbers can be prime unless one of them is 3.
Every dual number has the form z = a + bε with a and b uniquely determined real numbers.
# Every noun belongs to a unique number class.
* Hardy and Littlewood listed as their Conjecture I: " Every large odd number ( n > 5 ) is the sum of a prime and the double of a prime.
Every real number has an additive inverse ( i. e. an inverse with respect to addition ) given by.
Every nonzero real number has a multiplicative inverse ( i. e. an inverse with respect to multiplication ) given by ( or ).
Every real number, rational or not, is equated to one and only one cut of rationals.

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