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Any and polynomial
Any polynomial may be decomposed into the product of a constant by a product of irreducible polynomials.
Any finite number of initial terms of the Taylor series of a function is called a Taylor polynomial.
Any polynomial can be easily expressed as a power series around any center c, albeit one with most coefficients equal to zero.
* Any polynomial ( real or complex ) is an analytic function.
Any quadratic polynomial over the complex numbers ( polynomials of the form where,, and ∈ ) can be factored into an expression with the form using the quadratic formula.
Any rational function of a real variable can be written as the sum of a polynomial function and a finite number of algebraic fractions.
Any polynomial in D with function coefficients is also a differential operator.
Any single-variable quadratic polynomial may be written as
Any quadratic polynomial with two variables may be written as
Any monic polynomial is the characteristic polynomial of some matrix.
Any general polynomial of degree n
Any holomorphic modular form for the modular group can be written as a polynomial in and.
Any polynomial, and more generally any rational function p ( x )/ q ( x ) where p and q are polynomials, transforms the Riemann sphere by mapping it to itself.

Any and written
" Any threat of war Clovis could make would only be effective if they were neighbors ; " it is nowhere written that Syagrius was handed over in 486 or 487.
Most of the C code being written nowadays is based on ANSI C. Any program written only in standard C and without any hardware dependent assumptions is virtually guaranteed to compile correctly on any platform with a conforming C implementation.
Any complex number z = x + iy can be written as
Any customer who opted to keep theirs was required to sign a waiver indicating their understanding that no more software would be written for the system and which absolved Intellivision of any future responsibility for technical support.
Any 3-tuple is called an instantaneous description ( ID ) of, which includes the current state, the part of the input tape that has not been read, and the contents of the stack ( topmost symbol written first ).
Any point on a ray starting from point with direction ( here is a unit vector ) can be written as
In July 2006, a book, ' Peace at Any Price: How the World Failed Kosovo ', written by two former senior staffers at UNMIK, exposed a catalogue of errors and incompetence in the institution over its seven year history.
Any linear polarization of light can be written as an equal combination of right-hand ( RHC ) and left-hand circularly ( LHC ) polarized light:
Any software written for MS-DOS would operate on any MS-DOS computer, despite variations in hardware design.
Any written trace from the past can be the object of intellectual history.
Any data written to the database must be valid according to all defined rules, including but not limited to constraints, cascades, triggers, and any combination thereof.
Any hyperplane can be written as the set of points satisfying
Any linear combination of the column vectors of a matrix A can be written as the product of A with a column vector:
# Any sequence satisfying the recurrence relation can be written uniquely as a linear combination of solutions constructed in part 1 as λ varies over all distinct roots of p ( t ).
FanMail was another success for TLC, debuting at No. 1 on the Billboard 200 album sales chart and selling over 6 million copies in the U. S. The album featured the number-one hit " No Scrubs ", produced by Kevin " She ' kspere " Briggs, and the single " Unpretty ", an alternative rock-styled song about self-love written by Watkins and Dallas Austin ( another version of it sampled Dennis Edwards ' 1984 hit " Don't Look Any Further "), that also reached # 1 on the Billboard chart.
Any one of these three lengths can be written in terms of any other using the fine structure constant:
Any complex number may be written a + bi, where a and b are real numbers and i is the imaginary unit.
Any quaternion may be written as ( a, b, c, d ) = a + bi + cj + dk.
Any tangent vector at a point of the parametric surface M can be written in the form
Any number b + 1 is written as " 11 < sub > b </ sub >" in base b, so 11 is trivially a palindrome in base 10.
Any brightness distribution can be written as the sum of a symmetric component and an anti-symmetric component.
* Any speech deemed as instigative can be regarded as illegal, including oral, written and electronic forms ; it is a crime both to express, and to hear such speech and fail to report it.

Any and standard
Any alteration of one of these factors is distortion, although we generally use that word only for effects so pronounced that they can be stated quantitatively on the basis of standard tests.
Any field may be used as the scalars for a vector space, which is the standard general context for linear algebra.
Any greater precision depends more on choice of standard than on more careful measurement: the length of the equator in the World Geodetic System WGS-84 is 40, 075, 016. 6856 m which makes the geographical mile 1855. 3248 m, while the International Astronomical Union standard IAU-2000 takes the equator to be 40, 075, 035. 5351 m making the geographical mile 1855. 3257 m, almost a millimetre longer.
Any regional variety of English has a set of political, social and cultural connotations attached to it, even the so-called ' standard ' forms.
Any framework that implements the OSGi standard provides an environment for the modularization of applications into smaller bundles.
Any agency wanting to read PGP messages would probably use easier means than standard cryptanalysis, e. g. rubber-hose cryptanalysis or black-bag cryptanalysis i. e. installing some form of trojan horse or keystroke logging software / hardware on the target computer to capture encrypted keyrings and their passwords.
Any tampering with the original image of a film, particularly to crop it to fit a television screen, implies a compromise of the original image, and the cropping of a widescreen image to a full screen image for standard televisions requires skill by a film editor to prevent undue loss of elements of the composition.
Any rule described here is simply a standard, and may or may not correspond exactly with any given promotion's ruleset.
Any ToE must include general relativity and the standard model of particle physics.
Any non-negative real number can be represented as a base-φ numeral using only the digits 0 and 1, and avoiding the digit sequence " 11 "-this is called a standard form.
Any additional shaders, and any deviations from the standard shaders presented in this specification, must be documented by providing the equivalent shader expressed in the RenderMan shading language.
Any variation from the standard karyotype may lead to developmental abnormalities.
Any service can be clearly and completely, consistently and concisely specified by means of the following 12 standard attributes which conform to the MECE principle ( Mutually Exclusive, Collectively Exhaustive )
Any corporation can become green on a standard budget.
Any SCBA conforming to this standard will have been verified to reliably operate and protect the user from-30 ° C to + 60 ° C under a wide range of severe simulated operational conditions.
* Any conventional abbreviations found in a standard dictionary, such as:
Any human face can be considered to be a combination of these standard faces.
Any two closed curves in space, if allowed to pass through themselves but not each other, can be moved into exactly one of the following standard positions.
Any Amiga printer driver had to communicate though the standard Amiga printer. device ( the default standard hardware device of Amiga dealing with printers ), and the standard parallel. device ( which controlled parallel port ) and the driver would then control the printer on its own.
The second single from Any Way You Like It was Houston's rendition of " If It's the Last Thing I Do ", a standard written by Saul Chaplin and Sammy Cahn ; the track had been recorded and prepped for single release in 1973 but canceled.

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