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Every entire function can be represented as a power series that converges uniformly on compact sets.
Some Related Sentences
Every and entire
* Every thing that was within the general rule and was excluded from the rule to teach us a rule, we don't consider this rule as pertaining only to this excluded case, but to the entire general case.
* In any ring R, a maximal ideal is an ideal M that is maximal in the set of all proper ideals of R, i. e. M is contained in exactly 2 ideals of R, namely M itself and the entire ring R. Every maximal ideal is in fact prime.
Every game in the main Zelda series has consisted of three principal areas: an overworld in which movement is multidirectional, allowing the player some degree of freedom of action ; areas of interaction with other characters ( merely caves or hidden rooms in the first game, but expanding to entire towns and cities in subsequent games ) in which the player gains special items or advice ; and dungeons, areas of labyrinthine layout, usually underground, comprising a wide range of difficult enemies, bosses, and items.
Every time a cartridge is exhausted, the entire cartridge and print head are replaced with a new one.
Every hour that Napoleon could have attacked earlier as he did, would have been is his favour, but the French could not attack in the morning for the simple reason that the entire army had not yet taken its battle positions.
Every other fret remains unaffected ( e. g. the 7th fret of an E-string will still play a B note for any capo position at or below the 7th fret ), and thus a performer does not need to adjust for or relearn the entire fretboard as they might with retuning.
Every Halloween, she would traditionally let down her long silver hair, dress in a ghostly gown, and tell ghostly haunted tales spanning across the entire history of the city.
One song, which became " Heaven Help My Heart ," was recorded with an entire set of lyrics, sung by ABBA's Agnetha Fältskog, with the title " Every Good Man ", though none of the original lyrics from this song were used.
Every substring of such a string represents a spatially contiguous part of an interpretation, so that the entire string can be read as a reconstruction recipe for the interpretation and, thereby, for the stimulus.
Every year the school plans and runs several on or off-site events, some of which are open only to students in certain years, while others to the entire student population, alumni, and their respective friends and family.
Every two years the entire House of Representatives stands for election, whereas the Senate does so at four-year intervals concurrently with elections for governor.
Every hour or so, a 10 – 20 minute ' word war ' is held in which the entire room falls almost completely silent with concentration, save for the sound of keystrokes.
Every year, the School Captain, Deputy School Captain, Permanent and Temporary Prefects are installed in front of the entire school population during assembly.
Every station has a broadcast engineer, though one may now serve an entire station group in a city, or be a contract engineer who essentially freelances his or her services to several stations ( often in small media markets ) as needed.
In 1973, following the model of Every Building on the Sunset Strip, he photographed the entire length of Hollywood Boulevard with a motorized camera.
Every year, each drum corps prepares a single new show, approximately 8 – 15 minutes in length, and carefully refines this throughout the entire summer year.
Every serial chapter always had a brief recap showing where the previous chapter left off, but, beginning in 1936, entire chapters were largely devoted to material that audiences had already seen.
Every responsibility and every commitment spelt out by that doctrine is derived from charity which, according to the teaching of Jesus, is the synthesis of the entire Law ( Matthew 22: 36-40 ).
* Chapel Talks: Every final year student must give a speech on a moral or spiritual topic before the entire student body, faculty and administrative staff during a daily chapel service.
Every and function
Every such subset has a smallest element, so to specify our choice function we can simply say that it maps each set to the least element of that set.
Every contraction mapping is Lipschitz continuous and hence uniformly continuous ( for a Lipschitz continuous function, the constant k is no longer necessarily less than 1 ).
Every effectively calculable function ( effectively decidable predicate ) is general recursive italics
Every bijective function g has an inverse g < sup >− 1 </ sup >, such that gg < sup >− 1 </ sup > = I ;
Every holomorphic function can be separated into its real and imaginary parts, and each of these is a solution of Laplace's equation on R < sup > 2 </ sup >.
Every completely multiplicative function is a homomorphism of monoids and is completely determined by its restriction to the prime numbers.
Every time another object or customer enters the line to wait, they join the end of the line and represent the “ enqueue ” function.
Every type that is a member of the type class defines a function that will extract the data from the string representation of the dumped data.
Every output of an encoder can be described by its own transfer function, which is closely related to the generator polynomial.
Every continuous function in the function space can be represented as a linear combination of basis functions, just as every vector in a vector space can be represented as a linear combination of basis vectors.