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Page "Euclidean vector" ¶ 15
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When and length
When some thirteen records of newly and recently born individuals are collated, little or no correlation between length and distribution can be detected.
When he handed it back and I had hold of it safely, Pops was looking toward me and I said `` Now '', to Charlie and he swung the short length of lead pipe he'd meanwhile taken from his pocket, once.
When Robinson first designed his anemometer, he asserted that the cups moved one-third of the speed of the wind, unaffected by the cup size or arm length.
When the Data Encryption Standard cipher was released in 1977, a key length of 56 bits was thought to be sufficient.
When they emerge, toadlets typically are about in length, and grow rapidly.
When cells enter mitosis, the sister chromatids ( which represent the two copies of each chromosomal DNA molecule resulting from DNA replication earlier in the cell cycle and packaged by histones and other proteins into chromatin ) are linked all along their length by the action of the cohesin complex.
When looking at a cross section of a beam of light, the length over which the phase is correlated is called the transverse coherence length.
When used in science, for example geology, eras denote clearly defined periods of time of arbitrary but well defined length, such as for example the Mesozoic Era from 252 Ma – 66 Ma, delimited by a start event and an end event.
When a program was ready it was hung on a length of line strung up near the paper tape reader.
When feeding, it has a multinucleate base and a contractile stalk up to 150 μm in length, supporting a relatively small uninucleate head, where the central granule and axopods are located.
When the table is full the code length increases to give space for more strings, up to a maximum code 4095
When feeding, hydras extend their body to maximum length and then slowly extend their tentacles.
When there are two choirs of strings at the same length, it is possible to arrange for them to give different tonal qualities, and thus to increase the variety of sound produced by the instrument.
When integrated along all possible paths, with a phase factor which is proportional to the path length, the interference of the wave-functions correctly predicts observable phenomena.
When they finished, Pei spoke with his father at length about the proposal.
When all of the tasks are done at the same time, however, it is possible to reduce the latency to the length of the longest task.
When merging two lists of length m, there is a lower bound of 2m − 1 comparisons required in the worst case.
When Volkswagen introduced a sliding side door on their van in 1968, it then had all the features that would later come to define a minivan: compact length, three rows of forward-facing seats, station wagon-style top-hinged tailgate / liftgate, sliding side door, passenger car base.
When the two length scales are comparable, there may be resonances.
When looking only at expressways the National Trunk Highway System ( NTHS ) in China has a total length of at the end of 2006, and 60, 300 km at the end of 2008, second only to the United States with in 2005.
When the Sun's path crosses the equator, the length of the nights at latitudes + L ° and-L ° are of equal length.

When and vectors
When this notation is used, these vectors are called ket, read as " ket-A ".
When it acts on a tensor product of two state vectors, it exchanges the values of the state vectors:
When it becomes necessary to distinguish these special vectors from vectors as defined in pure mathematics, they are sometimes referred to as geometric, spatial, or Euclidean vectors.
When a female reproduces without such parasitic meals, she is said to practise autogenous reproduction, as in Toxorhynchites ; otherwise, the reproduction may be termed anautogenous, as occurs in mosquito species that serve as disease vectors, particularly Anopheles and some of the most important disease vectors in the genus Aedes.
To see this, the three corresponding normal vectors of the corner's perpendicular sides can be considered to form a basis ( a rectangular coordinate system ) ( x, y, z ) in which to represent the direction of an arbitrary incoming ray, b, c. When the ray reflects from the first side, say x, the ray's x component, a, is reversed to-a while the y and z components are unchanged, resulting in a direction of b, c. Similarly, when reflected from side y and finally from side z, the b and c components are reversed.
When the light following the two paths are recombined the polarization vectors of each path do not coincide.
When differentiating or integrating in cylindrical coordinates, these unit vectors themselves must also be operated on.
When two systems ( and the environment would be a system ) start to interact, though, their associated state vectors are no longer constrained to the subspaces.
When only rotations of the spatial are considered, the components of contravariant and covariant vectors behave in the same way.
When choosing three vectors that must be at right angles to each other, there are two distinct solutions, so when expressing this idea in mathematics, one must remove the ambiguity of which solution is meant.
When regarded in this manner the exterior product of two vectors is called a 2-blade.
When M is a Euclidean space and all the fields are taken to be invariant by translations by the vectors of M, we get back to a situation where a tensor field is synonymous with a tensor ' sitting at the origin '.
When the motion is not parallel to the wind, one must use vectors and trigonometry to calculate apparent wind.
When targeting another ( moving ) vehicle, relative vectors become paramount.
When research agencies decide what new genomes to sequence, the emphasis has been on species which are either high importance as model organism or have a relevance to human health ( e. g. pathogenic bacteria or vectors of disease such as mosquitos ) or species which have commercial importance ( e. g. livestock and crop plants ).
Formal group laws over a ring R are often constructed by writing down their logarithm as a power series with coefficients in R ⊗ Q, and then proving that the coefficients of the corresponding formal group over R ⊗ Q actually lie in R. When working in positive characteristic, one typically replaces R with a mixed characteristic ring that has a surjection to R, such as the ring W ( R ) of Witt vectors, and reduces to R at the end.
When applied to column vectors, the adjoint can be used to define the canonical inner product on: .< ref group =" note "> This ordering of the inner product ( with the conjugate-linear position on the left ), is preferred by physicists.
Orderings of the 3-subset s of ( and the corresponding Binary numeral system | binary Vector ( mathematics and physics ) | vectors ) When the ( blue ) triples are in lex order the ( red ) vectors are in revlex order, and vice versa.

When and is
When Heidegger and Sartre speak of a contrast between being and existence, they may be right, I don't know, but their language is too philosophical for me.
When they express themselves it is incandescent hatred that shines forth, the rage of repudiation, the ecstasy of negation.
When I try to work out my reasons for feeling that this passage is of critical significance, I come up with the following ideas, which I shall express very briefly here and revert to in a later essay.
When the proprietor dies, the establishment should become a corporation until it is either acquired by another proprietor or the government decides to drop it.
When the reactionary response is thus bolstered by an intellectual defense, the characteristics of that defense are explicable only in terms of the basic attitudes of unanalyzed reaction.
When I take over Taliesin, the first thing I'll do is fire you ''.
When someone in the audience rose and asked how does it feel to be a celebrity, Carl said, `` A celebrity is a fellow who eats celery with celerity ''.
When decision makers act within this frame they determine whether a claim put forward in the name of religion is to be accepted by the larger community as appropriate to religion.
When we consider the disorganized state of the world community, and the legacy of predispositions adversely directed against all who are identified as Jews, it is obvious that the struggle for the minds and muscles of men needs to be prosecuted with increasing vigor and skill.
When we turn to Aristotle's ideas on the moral measure of literature, it is at once apparent that he is at times equally concerned about the influence of the art.
When their faith in civil liberties is tested against strong pressures of social expediency in specific issues, e.g., suppression of `` dangerous ideas '', many waver and give in.
There is, of course, nothing new about dystopias, for they belong to a literary tradition which, including also the closely related satiric utopias, stretches from at least as far back as the eighteenth century and Swift's Gulliver's Travels to the twentieth century and Zamiatin's We, Capek's War With The Newts, Huxley's Brave New World, E. M. Forster's `` The Machine Stops '', C. S. Lewis's That Hideous Strength, and Orwell's Nineteen Eighty-Four, and which in science fiction is represented before the present deluge as early as Wells's trilogy, The Time Machine, `` A Story Of The Days To Come '', and When The Sleeper Wakes, and as recently as Jack Williamson's `` With Folded Hands '' ( 1947 ), the classic story of men replaced by their own robots.
When I first came across Samuel Johnson's pronouncement, `` the remedy for the ills of life is palliative rather than radical '', it seemed to me to sum up the profoundest of political and social truths.
When all else fails, it is argued that open sessions slow down governmental operations.
When a person has thoughtlessly or deliberately caused us pain or hardship it is not always easy to say, `` Just forget it ''.
When a person meets God's requirements for the experience of forgiveness he is forgiven.
When I hold my son he stiffens his whole body in my arms until he is as straight and stiff as a board.
When different colors are used, she is just as likely to color trees purple, hair green, etc..
When we become firm enough to stand for those ideals which we know to be right, when we become hard enough to refuse to aid nations which do not permit self-determination, when we become strong enough to resist any more drifts towards socialism in our own Nation, when we recognize that our enemy is Communism not war, and when we realize that concessions to Communists do not insure peace or freedom, then, and only then will we no longer be `` soft ''.
When one powerful nation strives to emulate the success of another, it is only natural.
When a man is laid to rest, he is entitled to stay put.
When I talked to Ching about it, he said, Everyone can learn, if he is not a Reactionary or lazy.

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