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point and divergence
According to Steven H Silver, alternate history requires three things: 1 ) the story must have a point of divergence from the history of our world prior to the time at which the author is writing, 2 ) a change that would alter history as it is known, and 3 ) an examination of the ramifications of that change.
* One central point of divergence is Steiner's views on reincarnation and karma.
In vector calculus, divergence is a vector operator that measures the magnitude of a vector field's source or sink at a given point, in terms of a signed scalar.
More technically, the divergence represents the volume density of the outward flux of a vector field from an infinitesimal volume around a given point.
In physical terms, the divergence of a three dimensional vector field is the extent to which the vector field flow behaves like a source or a sink at a given point.
If the divergence is nonzero at some point then there must be a source or sink at that position.
More rigorously, the divergence of a vector field F at a point p is defined as the limit of the net flow of F across the smooth boundary of a three dimensional region V divided by the volume of V as V shrinks to p. Formally,
Paradoxically, it is possible to reduce the divergence of a laser beam by first expanding it with one convex lens, and then collimating it with a second convex lens whose focal point is coincident with that of the first lens.
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.
Because of the incompleteness of the fossil record, there is usually no way to know exactly how close a transitional fossil is to the point of divergence.
Near the beam " waist " ( or focal region ) it is highly collimated: the wavefronts are planar, normal to the direction of propagation, with no beam divergence at that point.
Ethnicity, being largely developed by a divergence in geography, language, culture, genes and similarly, point of view, has the potential to be countered by a common source of information.
* Div ( divergence ) is a vector operator that measures a vector field's divergence from or convergence towards a given point.
The language's diverse appeal is seen as a strong point, though the consequently wide divergence between implementations is seen as one of the language's weak points.
If we choose the volume to be a ball of radius a around the source point, then Gauss ' divergence theorem implies that
If the beam has been collimated using a lens or other focusing element, the divergence expected can be calculated from two parameters: the diameter,, of the narrowest point on the beam before the lens, and the focal length of the lens,.
Neglecting divergence due to poor beam quality, the divergence of a laser beam is proportional to its wavelength and inversely proportional to the diameter of the beam at its narrowest point.
Also, one can take the divergence of any of these fluxes to determine the accumulation rate of the quantity in a control volume around a given point in space.
The divergence theorem states that the net outflux through a closed surface, in other words the net outflux from a 3D region, is found by adding the local net outflow from each point in the region ( which is expressed by the divergence ).
The point of divergence between The Original Series and the film occurs on the day of Kirk's birth in 2233.
Intuitively, the divergence ( denoted ∇•) of a vector field is a measure of flux diverging radially outwards from a point, so the negative is the amount piling up at a point, hence the rate of change of density in a region of space must be the amount of flux leaving or collecting in some region ( see main article for details ).

point and involves
Titration involves the addition of a reactant to a solution being analyzed until some equivalence point is reached.
In general topological spaces, however, the different notions of compactness are not necessarily equivalent, and the most useful notion, introduced by Pavel Alexandrov and Pavel Urysohn in 1929, involves the existence of certain finite families of open sets that " cover " the space in the sense that each point of the space must lie in some set contained in the family.
In general topological spaces, however, the different notions of compactness are not equivalent, and the most useful notion of compactness — originally called bicompactness — involves families of open sets that " cover " the space in the sense that each point of the space must lie in some set contained in the family.
* A key plot point in the comedy Evolution involves nitrogen-based life forms, and using selenium-based shampoo to poison them ( with the bonus of a product placement for Head & Shoulders ).
As a first-person shooter, the gameplay of Duke Nukem 3D involves moving through levels presented from the protagonist's point of view, shooting enemies on the way.
This involves heating the steel above its critical point, then quenching the blade to harden it.
Actually, the resonance is perfect but it involves also the precession of perijove ( the point closest to Jupiter ),.
For the purposes of this article, foot orienteering serves as a point of departure for discussion of all other variations, but basically any sport that involves racing against a clock and requires navigation using a map is a type of orienteering.
Another point that Wittgenstein makes against the possibility of a private language involves the beetle-in-a-box thought experiment.
The arrangement of type involves the selection of typefaces, point size, line length, leading ( line spacing ), adjusting the spaces between groups of letters ( tracking ) and adjusting the space between pairs of letters ( kerning ).
By " paradigm " he meant, essentially, a logically consistent " portrait " of the world, one that involves no logical contradictions and that is consistent with observations that are made from the point of view of this paradigm.
This involves solving a linear system such that the Taylor expansion of the sum of those points, around the center point, well approximates the Taylor expansion of the desired derivative.
This particular description involves many simplifications: a point source, a " surface " that light can reflect off of ( thus neglecting the interactions with electrons ) and so forth.
Torture murder involves torture to the point of murder as for punishment in law enforcement agencies of countries that allow torture.
By comparison, prediction in frequentist statistics often involves finding an optimum point estimate of the parameter ( s ) — e. g. by maximum likelihood or maximum a posteriori estimation ( MAP ) — and then plugging this estimate into the formula for the distribution of a data point.
An alternative approach, called the first derivative test, involves considering the sign of the f < nowiki >'</ nowiki > on each side of the critical point.
The formation of bubbles in a heated liquid is a complex physical process which often involves cavitation and acoustic effects, such as the broad-spectrum hiss one hears in a kettle not yet heated to the point where bubbles boil to the surface.
A typical episode in this long series of escapades involves Joan having an experience that is new to her from the female point of view, with internal dialog between Joan and Eunice to the effect that there is nothing new under the sun, and all of this was going on a hundred years ago when Johann was young and male.
In multivariate distributions, the classic Metropolis – Hastings algorithm as described above involves choosing a new multi-dimensional sample point.
Epaminondas wins the battle with a tactical innovation which involves striking the enemy first at their strongest, instead of their weakest, point, with such crushing force that the attack is irresistible.
However, not being native upper class speakers, they often hypercorrect, which involves overcorrecting their speech to the point of introducing new errors.
Other popular positions are the spread eagle, with the limbs splayed out and fastened by wrists and ankles to bedposts, door frame or some other anchoring point ; the hogtie, which secures each wrist to its corresponding ankle behind the back ( wider, padded restraints such as bondage cuffs are recommended for this ); the balltie, which secures wrists to ankles, in front, with the knees drawn up to the chest ; the crotch rope, which involves pulling a rope between the labia to apply pressure to the female genitals.
( Now this intersection involves Highway 15, which at one point was the premier north-south route from New York to Miami.
* In a 2006 television episode of Bones, titled The Girl with the Curl, a point of the murder mystery plot involves the beauty pageant winner of " Little Miss Raspberry Blossom " who is from Culpepper, Virginia.

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