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where and r
On the plane the most common alternative is polar coordinates, where every point is represented by its radius r from the origin and its angle θ.
where r is the position vector of the particle relative to the origin, p is the linear momentum of the particle, and × denotes the cross product.
where θ < sub > r, p </ sub > is the angle between r and p measured from r to p ; an important distinction because without it, the sign of the cross product would be meaningless.
where is the component of p that is perpendicular to r. As above, the sign is decided based on the sense of rotation.
t < sub > r </ sub > * BW = 0. 35, where t < sub > r </ sub > is rise time in seconds and BW is bandwidth in Hz.
where n > 1 is an integer and p, q, and r are prime numbers, then 2 < sup > n </ sup >× p × q and 2 < sup > n </ sup >× r are a pair of amicable numbers.
where n > m > 0 are integers and p, q, and r are prime numbers, then 2 < sup > n </ sup >× p × q and 2 < sup > n </ sup >× r are a pair of amicable numbers.
In 1996, Serge Vaudenay found a known-plaintext attack requiring 2 < sup > 8r + 1 </ sup > known plaintexts to break, where r is the number of rounds.
Driven off by Roman forces, the coalition host moved overland into Thracia, where finally it was crushed by emperor Claudius II ( r. 268-70 ) at Naissus ( 269 ).
The Hilbert space of a spin-0 point particle is spanned by a " position basis ", where the label r extends over the set of all points in space.
: The 2br enzymes, with the letter " r " denoting reduced binding to clavulanic acid and sulbactam, are also called inhibitor-resistant TEM-derivative enzymes ; nevertheless, they are commonly still susceptible to tazobactam, except where an amino acid replacement exists at position met69.
where h ( 0 ) is the height of the water at r
where r is the radius from the axis of rotation.
where h ( 0 ) is the height at r = 0 ( the axis ).
where r = radius of gyration of cross-section which is equal to the square root of ( I / A ), K = ratio of the longest half sine wave to the actual column length, and KL
( x ( s ), y ( s )) where s represents arc length and r is the position vector.
The tension at r is parallel to the curve at r and pulls the section to the right, so it may be written Tu =( Tcos φ, Tsin φ ), where T is the magnitude of the force and φ is the is the angle between the curve at r and the x-axis ( see tangential angle ).
Finally, weight of the chain is represented by ( 0, − λgs ) where λ is the mass per unit length, g is the acceleration of gravity and s is the length of chain between c and r.

where and is
But California is where we're goin ''.
He thought of the jungles below him, and of the wild, strange, untracked beauty there and he promised himself that someday he would return, on foot perhaps, to hunt in this last corner of the world where man is sometimes himself the hunted, and animals the lords.
Now I wish to enter the American market, where the competition is very strong.
from downstream, where the water level is much lower, it is a high, elaborately facaded pavilion.
The answers derived by these means may determine not only the temporal organization of the dance but also its spatial design, special slips designating the location on the stage where the movement is to be performed.
Even in domains where detailed and predictive understanding is still lacking, but where some explanations are possible, as with lightning and weather and earthquakes, the appropriate kind of human action has been more adequately indicated.
Robert Penn Warren puts it this way in `` Brother To Dragons '': `` The recognition of complicity is the beginning of innocence '', where innocence, I think, means about the same thing as redemption.
A dominant motive is the poet's longing for his homeland and its boyhood associations: `` Not men-folk, but the fields where I would stray, The stones where as a child I used to play ''.
In a society where everything is for sale, Marlowe is the only man who cannot be bought.
This is done for simplicity of commands and to bring the hidden redundancy up to where misunderstanding has almost zero possibility.
As to benefits to employees, it is notorious for its callous disregard except where it depends on them for services.
`` The Moral Creed '' and `` The Will To Risk '' live happily together, if we do not examine where the line is to be drawn.
Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.
Ptolemy's problem is to forecast where, against the inverted bowl of night, some particular light will be found at future times.
She was exposing herself to temptation which it is best to avoid where it can consistently be done.
Such performance is a great tribute to American scientists and engineers, who in the past five years have had to telescope time and technology to develop these long-range ballistic missiles, where America had none before.
but it is perennially restructured in situations where anchors are dragged or lost.
`` History has this in common with every other science: that the historian is not allowed to claim any single piece of knowledge, except where he can justify his claim by exhibiting to himself in the first place, and secondly to any one else who is both able and willing to follow his demonstration, the grounds upon which it is based.
Finally we may note that the idea appears in educational theory where its influence is at present widespread.

where and full
But the fighting marshal's fifty-year run of immunity from violent death came to a full and final stop one night in a street at Cromwell, Oklahoma, where he had been sent to clean up the gambling and vice rackets.
After these events, Saint Anthony had a vision where the whole world was full of snares and traps.
Even though most proposals call for payments of less than the full amount of the debt owing, in most cases, the creditors will accept the deal, because if they do not, the next alternative may be personal bankruptcy, where the creditors will get even less money.
A debate took place in the Reichstag on 15 January 1916, where the incident was described as a " cowardly murder " and Grey's note as being " full of insolence and arrogance ".
" Further, many had not survived their punishment, Wylde writing how the neighborhood of Adwa " was full of their freshly dead bodies ; they had generally crawled to the banks of the streams to quench their thirst, where many of them lingered unattended and exposed to the elements until death put an end to their sufferings.
where A is the radiation angle of the lamp — the full vertex angle of the emission cone.
When evaluating a coin, the following — often subjective — factors may be considered: 1 ) " eye appeal " or the aesthetic interest of the coin ; 2 ) dents on the rim ; 3 ) unsightly scratches or other blemishes on the surface of the coin ; 4 ) luster ; 5 ) toning ; 6 ) level of detail retained, where a coin with full details obviously is valued higher than one with worn details.
The land is very flat and full of public bicycle trails where cyclists are not bothered by cars and other traffic, which makes it ideal for cycling recreation.
They are very important in computational chemistry for treating large molecules where the full Hartree – Fock method without the approximations is too expensive.
The convention also offers decision-makers guidance based on the precautionary principle that where there is a threat of significant reduction or loss of biological diversity, lack of full scientific certainty should not be used as a reason for postponing measures to avoid or minimize such a threat.
He was made full professor at City College of New York in 1973 where he had taught since 1968.
He describes this as the good life, where the organism continually aims to fulfill its full potential.
Generally the shotguns are regulated to hit the point of aim at a given distance, usually the maximum expected range since that is the range at which a full choke would be used, and where precise regulation matters most.
In the case where the matrix entries are written out in full, the determinant is denoted by surrounding the matrix entries by vertical bars instead of the brackets or parentheses of the matrix.
While amplification is rarely used in classical music, in some cases where a bass soloist performs a concerto with a full orchestra, subtle amplification called acoustic enhancement may be used.
Husserl had transferred in 1916 to the Albert Ludwigs University of Freiburg ( Freiburg im Breisgau ) where he continued bringing his work in philosophy to fruition, now as a full professor.
In general usage, design of experiments ( DOE ) or experimental design is the design of any information-gathering exercises where variation is present, whether under the full control of the experimenter or not.
He moved to England in 1878 where he was made a full member of the Royal Academy in 1898.
Sennett left in 1912 to set up the Keystone company, where he could give his enthusiasm for the slapstick comedy style derived from the earlier Pathé comedies like le Cheval emballé ( The Runaway Horse ) full rein.
Lunar eclipses can only occur at full moon, where the moon's orbit allows it to pass through the Earth's shadow.
where N is the number of full moons since the first full moon of 2000.
In 1858 he was hired as full professor at the University of Ghent, then in 1867 he was called to Bonn, where he remained for the rest of his career.
Later he sacked the port of Valparaíso further north in Chile where he also captured a ship full of Chilean wine.
Limited disclosure, is an alternative approach where full details of the vulnerability are provided to a restricted community of developers and vendors while the public is only informed of a potential security issue.

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