Whenever the observer's learning process ( which may be a predictive neural network-see also Neuroesthetics ) leads to improved data compression such that the observation sequence can be described by fewer bits than before, the temporary interestingness of the data corresponds to the number of saved bits.

The expression of many genes can be determined by measuring mRNA levels with multiple techniques including microarrays, expressed cDNA sequence tag ( EST ) sequencing, serial analysis of gene expression ( SAGE ) tag sequencing, massively parallel signature sequencing ( MPSS ), RNA-Seq, also known as " Whole Transcriptome Shotgun Sequencing " ( WTSS ), or various applications of multiplexed in-situ hybridization.

If the convention B < sub > 1 </ sub >=− is used, this sequence is also known as the first Bernoulli numbers ( / in OEIS ); with the convention B < sub > 1 </ sub >=+ is known as the second Bernoulli numbers ( / in OEIS ).

A computer program ( also software, or just a program ) is a sequence of instructions written to perform a specified task with a computer.

It is also crucial that the interval be bounded, since in the interval one could choose the sequence of points, of which no sub-sequence ultimately gets arbitrarily close to any given real number.

Bacteria also use the TCA cycle to generate energy, but since they lack mitochondria, the reaction sequence is performed in the cytosol with the proton gradient for ATP production being across the plasma membrane rather than the inner membrane of the mitochondria.

* If is the norm ( usually noted as ) defined in the square-summable sequence space ℓ < sup > 2 </ sup > ( which also matches the usual distance in a continuous and isotropic cartesian space ), then

* If is the norm ( usually noted as ) defined in the sequence space ℓ < sup >∞</ sup > of all bounded sequences ( which also matches the non-linear distance measured as the maximum of distances measured on projections into the base subspaces, without requiring the space to be isotropic or even just linear, but only continuous, such norm being definable on all Banach spaces ), and is lower triangular non-singular ( i. e., ) then

Comic strips, also known as " cartoon strips " in the United Kingdom, are found daily in newspapers worldwide, and are usually a short series of cartoon illustrations in sequence.

The checksum algorithms that are most used in practice, such as Fletcher's checksum, Adler-32, and cyclic redundancy checks ( CRCs ), address these weaknesses by considering not only the value of each word but also its position in the sequence.

Jones also directed animated sequences various features such as a lengthy sequence in the 1992 film Stay Tuned and a shorter one seen at the start of the 1993 film Mrs. Doubtfire.

In mathematical analysis, a metric space M is called complete ( or a Cauchy space ) if every Cauchy sequence of points in M has a limit that is also in M or, alternatively, if every Cauchy sequence in M converges in M.

The discrete input function must also have a limited ( finite ) duration, such as one period of a periodic sequence or a windowed segment of a longer sequence.

* It can also provide uniformly spaced samples of the continuous DTFT of a finite length sequence.

Methods have also been developed to use circular convolution as part of an efficient process that achieves normal ( non-circular ) convolution with an or sequence potentially much longer than the practical transform size ( N ).

Ephrem did not comment on all passages in the Diatessaron, and nor does he always quote commentated passages in full ; but for those phrases that he does quote, the commentary provides for the first time a dependable witness to Tatian's original ; and also confirms its content and their sequence.

An Old Latin version of Tatian's Syriac text appears to have circulated in the West from the late 2nd century ; with a sequence adjusted to conform more closely to that of the canonical Gospel of Luke, and also including additional material ( such as the pericope of the adulteress ), possibly from the Gospel of the Hebrews.

The film has been parodied and referenced in places such as the 1976 film The Pink Panther Strikes Again, the satirical publication The Onion, the Japanese game-show Takeshi's Castle, and the 1977 John Landis comedy anthology film Kentucky Fried Movie ( in its lengthy " A Fistful of Yen " sequence ) and also in the film Balls of Fury.

Polycistronic messages have multiple ORFs in one transcript and also have small regions of untranslated sequence between each ORF.

His also counteracts Hacekel ’ s sequence of drawings in the Anthropogenie with what he refers to as “ exact ” drawings, highlighting specific differences.

The Tourneur example just mentioned also could stand as part of the beginning of the " montage sequence ".

Cross-cutting was also used to get new effects of contrast, such as the cross-cut sequence in Cecil B. DeMille's The Whispering Chorus, in which a supposedly dead husband is having a liaison with a Chinese prostitute in an opium den, while simultaneously his unknowing wife is being remarried in church.

In addition to jumps performed singly, jumps may also be performed in combination or in sequence.

While each scene has its own character and completeness it must fit into the general sequence to which it belongs.

The typical Arabidopsis-type ' sequence of bases has been fully or partially replaced by other sequences, with the ' human-type ' predominating.

During this sequence, it is revealed that Mrs. Alexander died from the injuries inflicted during the gang-rape, and her husband has decided to continue living " where her fragrant memory persists " despite the horrid memories.

The A-type main sequence star has the multiple star designation WDS 19508 + 0852A and has three visual companion stars, WDS 19508 + 0852B, C, and D. Component B is not physically close to A but merely appears close to it in the sky.

The canonical feature of atom probe data its high spatial resolution in the direction through the material, which has been attributed to an ordered evaporation sequence.

No modern species should be described as more " primitive " than others, strictly speaking, since each has an equally long evolutionary history — but the brains of modern hagfishes, lampreys, sharks, amphibians, reptiles, and mammals show a gradient of size and complexity that roughly follows the evolutionary sequence.

The crystal has a double-hexagonal close packing structure with the layer sequence ABAC and so is isotypic ( having a similar structure ) with α-lanthanum and α-forms of actinides beyond curium.

This implied sequence of pre-exilic, exilic and post-exilic material is somewhat misleading, as significant editing has clearly taken place in all three parts.

An important part of the channel's presentation since launch has been the top of the hour countdown sequence, since there is no presentation system with continuity announcers so the countdown provides a link to the beginning of the next hour.

The sequence has since seen several remixes to the music and a change in visuals to focus more on the well-known journalists, with less footage of camera crews and production teams.

Storytelling using a sequence of pictures has existed through history.

Historically, different nations or regions of the world have gone through their own independent sequence of movements in culture, but as world communications have accelerated this geographical distinction has become less distinct.

This implies, by the Bolzano – Weierstrass theorem, that any infinite sequence from the set has a subsequence that converges to a point in the set.

On the one hand, Bernard Bolzano ( 1817 ) had been aware that any bounded sequence of points ( in the line or plane, for instance ) has a subsequence that must eventually get arbitrarily close to some other point, called a limit point.

# Every sequence in A has a convergent subsequence, whose limit lies in A.

* A metric space ( or more generally any first-countable uniform space ) is compact if and only if every sequence in the space has a convergent subsequence.

* Sequentially compact: Every sequence has a convergent subsequence.

A metric space is called pre-compact or totally bounded if any sequence has a Cauchy subsequence ; this can be generalised to uniform spaces.

The customary acceptance of the fact that any real number x has a decimal expansion is an implicit acknowledgment that a particular Cauchy sequence of rational numbers ( whose terms are the successive truncations of the decimal expansion of x ) has the real limit x.

Moreover, the Banach fixed point theorem states that every contraction mapping on a nonempty complete metric space has a unique fixed point, and that for any x in M the iterated function sequence x, f ( x ), f ( f ( x )), f ( f ( f ( x ))), ... converges to the fixed point.

The Unified Modeling Language has support for sequence diagrams.

Two of the most notable differences are that the balls are always played in the same sequence ( blue, red, black, yellow ) throughout the game, and that a ball's " deadness " on other balls is carried over from turn to turn until the ball has been " cleared " by scoring its next hoop.

For example, the cofinality of ω² is ω, because the sequence ω · m ( where m ranges over the natural numbers ) tends to ω² ; but, more generally, any countable limit ordinal has cofinality ω.