According to F. W. Dobbs-Allsopp, " the widely observed unity of form and point of view ... and general resemblance in linguistic detail throughout the sequence are broadly suggestive of the work of a single author ," though other scholars see Lamentations as the work of multiple authors.

There are many other encodings, which represent each character by a byte ( usually referred as code pages ), integer code point ( Unicode ) or a byte sequence ( UTF-8 ).

However, an open disk is not compact, because a sequence of points can tend to the boundary without getting arbitrarily close to any point in the interior.

Likewise, spheres are compact, but a sphere missing a point is not since a sequence of points can tend to the missing point without tending to any point within the space.

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.

The uniform limit of this sequence then played precisely the same role as Bolzano's " limit point ".

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.

Any piece of DNA with the point centromere DNA sequence on it will typically form a centomere if present in the appropriate species.

A metric space X is complete if and only if every decreasing sequence of non-empty closed subsets of X, with diameters tending to 0, has a non-empty intersection: if F < sub > n </ sub > is closed and non-empty, for every n, and diam ( F < sub > n </ sub >) → 0, then there is a point x ∈ X common to all sets F < sub > n </ sub >.

In other words, when you pass a sequence to a routine, initially only a reference to it is passed, but at the point the routine modifies this sequence parameter the sequence is copied and the routine updates only a copy of the original.

While the divergence point of the mtDNA was unexpectedly deep in time, the full genomic sequence suggested the Denisovans belonged to the same lineage as Neanderthals, with the two diverging shortly after their line split from that giving rise to modern humans.

Its dream ballet sequence, lasting an unprecedented seventeen minutes, was the most expensive production number ever filmed up to that point.

Aspect can be said to describe the texture of the time in which a situation occurs, such as a single point of time, a continuous range of time, a sequence of discrete points in time, etc., whereas tense indicates its location in time.

If an equation can be put into the form f ( x ) = x, and a solution x is an attractive fixed point of the function f, then one may begin with a point x < sub > 1 </ sub > in the basin of attraction of x, and let x < sub > n + 1 </ sub > = f ( x < sub > n </ sub >) for n ≥ 1, and the sequence

In addition, they contain a branch point, a particular nucleotide sequence near the 3 ' end of the intron that becomes covalently linked to the 5 ' end of the intron during the splicing process, generating a branched ( lariat ) intron.

The weaver is supposed to reverse the weaving sequence at the pivot point to create a mirror image of the pattern.

The sequence of movements in a Cunningham dance is unlike any sequence to be seen in life.

The sequence is determined by chance, and Mr. Cunningham makes use of any one of several chance devices.

When the same sequence is equivalent in meaning to I have instructions which I am to leave, dominant stress is ordinarily on instructions.

the fire of love is dead, and Hardy stands, as the speaker does in the last poem of the sequence, over the burnt circle of charred sticks, and thinks of past happiness and present grief, honest and uncomforted.

The essential characteristic of an optimal policy when the state of the stream is transformed in a sequence of stages with no feedback was first isolated by Bellman.

The sequence of equations ( 6 ) can be solved for Af when Af is known, and clearly Af, the maximization being over all admissible Af.

This sequence of equations may be started with the remark that with no process Af there is no profit, i.e., Af.

I am sure that nothing within me is capable of composing that life-like sequence, so complete in detail, from the hodge-podge of news pictures I have seen.

The physical film is cut with a knife at the end of one complete sequence, and the cut edge is joined physically, by cement, to the cut edge of the beginning of the next sequence.

Animation is the rapid display of a sequence of images to create an illusion of movement.

This type of presentation is usually accomplished with a camera and a projector or a computer viewing screen which can rapidly cycle through images in a sequence.

In later Pahlavi papyri, up to half of the remaining graphic distinctions of these twelve letters were lost, and the script could no longer be read as a sequence of letters at all, but instead each word had to be learned as a whole — that is, they had become logograms as in Egyptian Demotic.

It is unknown whether the earliest alphabets had a defined sequence.

While there is no generally accepted formal definition of " algorithm ," an informal definition could be " a set of rules that precisely defines a sequence of operations.

There is a wide variety of representations possible and one can express a given Turing machine program as a sequence of machine tables ( see more at finite state machine, state transition table and control table ), as flowcharts ( see more at state diagram ), or as a form of rudimentary machine code or assembly code called " sets of quadruples " ( see more at Turing machine ).

The order is clearly circumscribed on the basis of DNA sequence analysis, but is difficult to define morphologically, since its members are structurally diverse.

If the method is applied to an infinite sequence ( X < sub > i </ sub >: i ∈ ω ) of nonempty sets, a function is obtained at each finite stage, but there is no stage at which a choice function for the entire family is constructed, and no " limiting " choice function can be constructed, in general, in ZF without the axiom of choice.

And any sequence can not only change its positions in the work but can even be eliminated from it altogether.

The only requirements on dictionary information made by the text-lookup operation are that each form represented by the dictionary be available for lookup in the text-form list and that information for each form be available in a sequence identical with the sequence of the forms.

to this he glued and fitted other pieces of paper and four taut strings, thus creating a sequence of flat surfaces in real and sculptural space to which there clung only the vestige of a picture plane.

We may carry this sequence one step further and say that at seventy he was a poet at the height of his powers, wanting only the impetus of two tragedies, one personal, the other national, to loose those powers in poetry.

Additionally, in some kernels ( e. g. miscellaneous DOS variants ) is detected only at the time OS tries reading from a keyboard buffer and only if it's the only key sequence in the buffer, while is often translated instantly ( e. g. by INT 1Bh under DOS ).

The dorsal fin is small, visible only briefly during the dive sequence.

* Consider the set of all functions from the real number line to the closed unit interval, and define a topology on so that a sequence in converges towards if and only if converges towards for all.

* 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.

The utility of Cauchy sequences lies in the fact that in a complete metric space ( one where all such sequences are known to converge to a limit ), the criterion for convergence depends only on the terms of the sequence itself.

* 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

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.

Interframe compression uses one or more earlier or later frames in a sequence to compress the current frame, while intraframe compression uses only the current frame, effectively being image compression.

The families A and B are distinguishable with family A Pol sharing 9 distinct consensus sequences and only two of them are convincingly homologous to sequence motif B of family B.

* It completely describes the discrete-time Fourier transform ( DTFT ) of an N-periodic sequence, which comprises only discrete frequency components.

It is likely that only then was it considered politically safe to distribute a sequence of artworks criticising both the French and restored Bourbons.