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The Collaborative International Dictionary
Divergence

Divergence \Di*ver"gence\, Divergency \Di*ver"gen*cy\, n. [Cf. F. divergence.]

  1. A receding from each other in moving from a common center; the state of being divergent; as, an angle is made by the divergence of straight lines.

    Rays come to the eye in a state of divergency.
    --??????.

  2. Disagreement; difference.

    Related with some divergence by other writers.
    --Sir G. C. Lewis.

Douglas Harper's Etymology Dictionary
divergence

1650s, from Modern Latin divergentia, from divergens (see diverge). Related: Divergency.

Wiktionary
divergence

n. 1 The degree to which two or more things diverge. 2 (context mathematics English) the operator which maps a function ''F''=(''F''1, ... ''F''''n'') from a ''n''-dimensional vector space to itself to the number sum_{i=1}^n frac{partial F_i}{partial x_i} 3 (context obsolete English) disagreement; difference 4 The process in which two or more populations accumulate genetic changes (mutations) through time.

WordNet
divergence
  1. n. the act of moving away in different direction from a common point; "an angle is formed by the divergence of two straight lines" [syn: divergency]

  2. a variation that deviates from the standard or norm; "the deviation from the mean" [syn: deviation, departure, difference]

  3. an infinite series that has no limit [syn: divergency] [ant: convergence, convergence]

  4. a difference between conflicting facts or claims or opinions; "a growing divergence of opinion" [syn: discrepancy, disagreement, variance]

Wikipedia
Divergence

In vector calculus, divergence is a vector operator that produces a signed scalar field giving the quantity of a vector field's source at each point. More technically, the divergence represents the volume density of the outward flux of a vector field from an infinitesimal volume around a given point.

As an example, consider air as it is heated or cooled. The velocity of the air at each point defines a vector field. While air is heated in a region, it expands in all directions, and thus the velocity field points outward from that region. The divergence of the velocity field in that region would thus have a positive value. While the air is cooled and thus contracting, the divergence of the velocity has a negative value.

Divergence (Star Trek: Enterprise)

"Divergence" is the sixteenth episode of the fourth season of the American science fiction television series Star Trek: Enterprise. It originally aired on February 25, 2005 in the United States on UPN. It was the fourth episode of Enterprise to be written by Judith and Garfield Reeves-Stevens, and was the first episode of a Star Trek series directed by David Barrett. "Divergence" is the second part of a two part story, following on from "Affliction".

Set in the 22nd century, the series follows the adventures of the first Starfleet starship Enterprise, registration NX-01. In this episode, Columbia arrives so that Commander Tucker can be transferred to conduct repairs on Enterprises warp engine before it overloads. The two ships then pursue a lead to a Klingon research outpost where Phlox is under pressure to cure the virus that the Klingons created from augmented Human DNA.

Filming took eight days, with a two week seasonal hiatus towards the end of December. In addition to the guest stars who appeared in "Affliction", they were joined by Wayne Grace as Admiral Krell. The episode received Nielsen ratings of 1.7/3 percent, which were lower than the previous week's episode. The critical response was negative, directed mainly at plot holes and characterisation. However, the two part story has been named as one of the best storylines seen in Enterprise.

Divergence (disambiguation)

' Divergence' is a function that associates a scalar with every point of a vector field.

Divergence or Divergent may also refer to:

Divergence (album)

Divergence is the second album by the Dutch progressive rock group Solution. It was released in 1972 on the EMI subsidiary Harvest Records.

Divergence (film)

Divergence is a 2005 Hong Kong action- crime film produced and directed by Benny Chan, from a screenplay by Ivy Ho. The film stars Aaron Kwok, Ekin Cheng and Daniel Wu.

Divergence (computer science)

In computer science, a computation is said to diverge if it does not terminate or terminates in an (unobservable) exceptional state. Otherwise it is said to converge. In domains where computations are expected to be infinite, such as process calculi, a computation is said to diverge if it fails to be productive (always produces an action within a finite amount of time.)

Divergence (statistics)

In statistics and information geometry, divergence or a contrast function is a function which establishes the "distance" of one probability distribution to the other on a statistical manifold. The divergence is a weaker notion than that of the distance, in particular the divergence need not be symmetric (that is, in general the divergence from p to q is not equal to the divergence from q to p), and need not satisfy the triangle inequality.

Divergence (novel)

Divergence (1991) is a science fiction novel by Charles Sheffield written in the Heritage Universe series. This book is the sequel to Summertide. The book takes place millennia in the future when most of the Orion Arm of the galaxy has been colonized by humans and other races. Among the various star systems of this arm of the galaxy, a number of million-year-old artifacts have been discovered, remnants of a mysterious race called the Builders.

The characters of this book start just a few days after the previous book left off to go in search of a newly discovered artifact. This book introduces a few new characters that become important throughout the rest of the series. The characters work together to discover a new theory about the origins and current condition of the Builders. During this process, they discover that an old menace to the universe, thought to be extinct, has been unleashed upon the Orion Arm of the Milky Way once again.

The novel includes excerpts from the Lang Universal Artifact Catalog (Fourth Edition), and from the Universal Species Catalog (Subclass:Sapients).

The sequel to Divergence is Transcendence.

Divergence (linguistics)

Divergence in linguistics refers to one of the five principles by which you can detect grammaticalisation while it is taking place. The other four are: layering, specialisation, persistence, and de-categorialisation.

Divergence names a state of affairs subsequent to some change, namely the result of the process called "split" by Heine and Reh. “When a lexical form undergoes grammaticalization to a clitic or affix, the original form may remain as an autonomous lexical element and undergo the same changes as ordinary lexical items.” (Hopper 1991: 22) A possible formal distinction between divergence and split would be that the latter seems to be confined to cases where one and the same source has several targets, whereas the former merely refers to the drifting apart of previously more similar items.

The form of a lexical item may undergo different changes from its grammaticalized counterpart.

Usage examples of "divergence".

When the signal came, Bibbs went to the office, where he divested himself of his overalls--his single divergence from the routine of his fellow-workmen--and after that he used soap and water copiously.

The brief illuminating self-revealment of Fal Sivas suggested that he might be an example of such wide divergence in character.

Reaching in due course this divergence of the Furca road, I tarried awhile beneath the mountain sky, debating whether or not delay would add to pleasure.

The land of Goshen lay east and west, with a slight divergence toward the north.

But with all these external differences I am aware that there will be objection to classifying it as a separate species, unless the osteological divergences can be satisfactorily determined, and for this purpose it would be necessary to examine a large series of authenticated skulls of the two kinds.

It is perfectly justifiable, artistically, to lay the scene of a novel in a workhouse or a gaol, but if the humanitarian impulse leads to any embroidery of or divergence from the truth, the novel is artistically injured, because the selection and grouping of facts should be guided by artistic and not by philanthropic motives.

From the perspective of a classical historian, German scholar Hans Stier has concurred that agreement over basic data and divergence of details suggest credibility, because fabricated accounts tend to be fully consistent and harmonized.

German scholar Hans Stier has concurred that agreement over basic data and divergence of details suggest credibility, because fabricated accounts tend to be fully consistent and harmonized.

TE times, some local dialects approaching languages in the degree of their divergence from other forms.

We can understand, from the continued tendency to divergence of character, why the more ancient a form is, the more it generally differs from those now living.

After all, we share much of our genome with eubacteria, even though the evolutionary divergence between the eubacteria and archaebacteria occurred very soon after the origin of life on Earth.

What did it matter that divergence from type had long been identified as the inescapable trait of those maladapted to their surroundings?

In an earlier chapter we dealt with the divergence of that play from the English Senecan school of tragedy.

But when we come to discuss the principle, as I call it, of Divergence of Character, we shall see how this may be explained, and how the lesser differences between varieties will tend to increase into the greater differences between species.

Sexual Selection -- On the generality of intercrosses between individuals of the same species -- Circumstances favourable and unfavourable to Natural Selection, namely, intercrossing, isolation, number of individuals -- Slow action -- Extinction caused by Natural Selection -- Divergence of Character, related to the diversity of inhabitants of any small area, and to naturalisation -- Action of Natural Selection, through Divergence of Character and Extinction, on the descendants from a common parent -- Explains the Grouping of all organic beings.