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 polynomial written in standard form has a unique constant term, which can be considered a coefficient of x < sup > 0 </ sup >.

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 more than they have the sense to eat mussels.

Any player may declare the game over at any time during his turn if either of two conditions is true: one chain has 41 or more tiles, or there is at least one chain on the board and every chain on the board has 11 or more tiles.

Any player is usually allowed to control or bet in as many boxes as desired at a single table, but it is prohibited for an individual to play on more than one table at a time or to place multiple bets within a single box.

Any transfer of more than 30 % of the ownership of a broadcasting licence ( including cable / satellite distribution licences ) requires advance approval of the commission.

# Any experience which is inconsistent with the organization of the structure of the self may be perceived as a threat, and the more of these perceptions there are, the more rigidly the self structure is organized to maintain itself.

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 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 character that finished any game in the series ( except Dragon Fire, the last in the series ) could be exported to a more recent game ( Shadows of Darkness has a glitch which allows one to import characters from the same game ), keeping the stats and parts of the inventory.

Any crime punishable by more than six months imprisonment must have some means for a jury trial.

Any towed trailer must not weigh more than 9 tons GVM.

Any towed trailer must not weigh more than 9 tons GVM.

Any towed trailer must not weigh more than 9 tons GVM.

* ` Class 2-Medium Rigid Vehicle ' - Any rigid vehicle with GLW less than 18, 001 kg ( with Light Trailer up to 3500 kg or less ), any combination vehicle with GCW less than 12, 001 kg, any rigid vehicle of any weight with no more than 2 axles, or any Class 1 vehicle.

Any potential gas giants around Tau Ceti are likely to be located more at Jupiter-like distances.

Any towed trailer must not weigh more than GVM.

Any towed trailer must not weigh more than GVM.

Any towed trailer must not weigh more than ) GVM.

:: Any more of her childhood or life

# Any live cell with more than three live neighbours dies, as if by overcrowding.

Any alcoholic product, when served as a chilled shot, may be more palatable to the consumer.

Any modulated signal will have an infinite number of sidebands and hence an infinite bandwidth but in practice all significant sideband energy ( 98 % or more ) is concentrated within the bandwidth defined by Carson's rule.

* Crypto equipment: Any equipment that embodies cryptographic logic or performs one or more cryptographic functions ( key generation, encryption, and authentication ).

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.

Although the 8080 was generally an 8-bit processor, it also had limited abilities to perform 16-bit operations: Any of the three 16-bit register pairs ( BC, DE, HL ) or SP could be loaded with an immediate 16-bit value ( using LXI ), incremented or decremented ( using INX and DCX ), or added to HL ( using DAD ).

Any item or implement that has handled chametz is generally put away and not used during Passover.

Any sufficiently thick crystal will produce secondary scattering, but since X-rays interact relatively weakly with the electrons, this is generally not a significant concern.

The 1972 motorcycle racing documentary On Any Sunday is generally credited with inspiring the movement nationally in the United States ; its opening scene shows kids riding their Sting-Rays off-road.

Any invisible ink can be made visible by someone who is sufficiently determined, but the limitation is generally time available and the fact that one cannot apply hours of effort to every single piece of paper.

Any statements contained therein that attribute fault or causation to an individual will generally NOT be admissible under this exception.

Any form of motivation thus generally leads a person to better recall.

Any other usage is generally frowned upon.

Any effects on the environment are generally less problematic than those from other power sources.

* Any firearm with a bore over 0. 50 except for shotguns or shotgun shells which have been found to be generally recognized as particularly suitable for sporting purposes.

Suppressors and Short Barreled Rifles are generally the most popular NFA firearms among civilians, followed by Short Barrel Shotguns, Destructive Devices, and " Any Other Weapons ".

Any assumption today that factory-made items were necessarily made by machine was not generally so.

Any song that he had heard or read being attested as having been ever " used as shanty " was included — regardless of whether that song was not generally known as a shanty or if its use as a shanty was rare and incidental.

Any conditions not stated in specified integration tests, outside of the confirmation of the execution of design items, will generally not be tested.

* Daylight Discs ( DD ): Any anomalous object, generally but not necessarily " discoidal ", seen in the distant daytime sky.

Any Pa below 100 ( generally saturation less than 100 %) on a supplemental oxygen fraction of 50 % meets criteria for ARDS.

Any player who is tagged ( caught and touched ) is sent to the holding pen ( jail ) which is simply a designated area for all the captured players to congregate, generally in plain sight of the can.

Any material misstatements on the insurance application ( which generally forms a part of the contract ) cannot be used as a reason for the insurer not to pay the death benefit, as long as it does not constitute fraud on the part of the insured.

Any analysis of critical pedagogy must begin with an examination of the work of Paulo Freire who is generally considered to be “ the inaugural philosopher of critical pedagogy.

Other traditions regarding the black cap exist as well, but there are no official restrictions: Any graduating student may select a black graduation cap if he / she so wishes, but it is generally frowned upon, and there is even debate about the different traditions and about who should have the right to wear the black cap.

Any tines in excess of the fourth and fifth tine will grow radially from the cup, which are generally absent in the antlers of smaller red deer, such as Corsican red deer.

: ( 2 ) Any weapon by whatever name known which will, or which may be readily converted to, expel a projectile by the action of an explosive or other propellant, the barrel or barrels of which have a bore of more than one-half inch in diameter (. 50 inches or 12. 7mm ), except a shotgun or shotgun shell which the Secretary finds is generally recognized as particularly suitable for sporting purposes ; and

Any residual matter should be metabolized in the course of the subsequent healing process, generally aided by regular appliance of dry heat.

Any major pruning needed is generally accomplished either while the plant is dormant, or for flowering plants, during the proper season for pruning that species.