Let the line of symmetry intersect the parabola at point Q, and denote the focus as point F and its distance from point Q as f. Let the perpendicular to the line of symmetry, through the focus, intersect the parabola at a point T. Then ( 1 ) the distance from F to T is 2f, and ( 2 ) a tangent to the parabola at point T intersects the line of symmetry at a 45 ° angle.

Then in 1952 the Barbados Advocate newspaper polled several prominent Barbadian politicians, lawyers, businessmen, the Speaker of the Barbados House of Assembly and later as first President of the Senate, Sir Theodore Branker, Q. C.

Then, we say Q is a generator of a one parameter symmetry Lie group.

Then the signal is either sampled or processed by the four-quadrant multiplier which produces the complex envelope components ( I, Q ) through multiplying it by the heterodyne frequency.

Then D ( Q ) contains P but, of course, not Q.

Then Q ( x ) has a zero α of multiplicity r, and in the partial fraction decomposition, r of the partial fractions will involve the powers of ( x − α ).

Then, for some quotient polynomial Q ( x ) and remainder polynomial R ( x ) with degree ( R ) < degree ( D ),

Then for each t the measure Q restricted to the unaugmented sigma fields is equivalent to P restricted to

Then a representation of Q is just a covariant functor from this category to the category of finite dimensional vector spaces.

For example, let P be an irreducible polynomial with integer coefficients and p be a prime number which does not divides the leading coefficient of P. Let Q be the polynomial over the finite field with p elements, which is obtained by reducing modulo p the coefficients of P. Then, if Q is separable ( which is the case for every p but a finite number ) then the degrees of the irreducible factors of Q are the lengths of the cycles of some permutation of the Galois group of P.

Let V a representation of G, and form the vector bundle V = Q ×< sub > G </ sub > V over M. Then the principal G-connection α on Q induces a covariant derivative on V, which is a first order linear differential operator

Then the Radon – Nikodym theorem provides the function g, equal to the density of μ with respect to Q.

Then xR is a direct summand of Q considered as R-modules.

Then Q is not Artinian as a left Z module, but it is Artinian a right Q module.

* Top Cow: Then and Now 2: Q & A with Publisher Filip Sablik by Chris Arrant, Newsarama, June 25, 2008

* Top Cow: Then and Now 1: Q & A with President Matt Hawkins by Chris Arrant, Newsarama, June 24, 2008

Then the sum S < sub > t </ sub > of the Q < sub > a, t </ sub >, where a runs over all the roots of P, can be taken as a particular Q < sub > t </ sub >.

Then he entered the Collège d ' Harcourt in Paris.

Then you ’ d better watch what you say .” He noted that Ann Coulter and Bill O ' Reilly called the remarks in question " treasonous ".

Then, as state secretary of economy ( 1968 – 1971 ), he worked closely with Valéry Giscard d ' Estaing, who headed the ministry of economy and finance.

Then came the great northeastern gap, although its back was mostly covered by thick forest of the Bois d ' Orléans.

In particular, let p define the coordinates of points in a reference frame M coincident with a fixed frame F. Then, when the origin of M is displaced by the translation vector d relative to the origin of F and rotated by the angle φ relative to the x-axis of F, the new coordinates in F of points in M are given by

Then other European settlers came in groups, such as the first Acadians from Nova Scotia, who were sent there in 1765 by Jean-Jacques Blaise d ' Abbadie, the French official who was administering Louisiana for the Spanish.

Then, in the 20th century, districts were a type of intercommunity, they've been replaced by communauté de communes and communautés d ' agglomération after 1999.

Then from 1918 it was spelled Gjestal after the pronunciation of the dialect ( the d in dal is pronounced t because of the voiceless consonant s in front ).

These hermits are sometimes also vegetarians for ascetic reasons, as suggested in a passage from Sir Thomas Malory's Le Morte d ' Arthur: ' Then departed Gawain and Ector as heavy ( sad ) as they might for their misadventure ( mishap ), and so rode till that they came to the rough mountain, and there they tied their horses and went on foot to the hermitage.

Then in 1973 he had a solo exhibition in the Gallerie d ' Arte del Naviglio, Milan.

King Arthur's encounter with the giant of St Michael's Mount-or Mont Saint Michel in Brittany-was related by Geoffrey of Monmouth in Historia Regum Britanniae in 1136, and published by Sir Thomas Malory in 1485 in the fifth chapter of the fifth book of Le Morte d ' Arthur: Then came to Arthur an husbandman ... and told him how there was ... a great giant which had slain, murdered and devoured much people of the country ... journeyed to the Mount, discovered the giant roasting dead children, ... and hailed him, saying ... rise and dress thee, thou glutton, for this day shalt thou die of my hand.

If we take E to be the sum of the even exterior powers of the cotangent bundle, and F to be the sum of the odd powers, define D = d + d *, considered as a map from E to F. Then the topological index of D is the Euler characteristic of the Hodge cohomology of M, and the analytical index is the Euler class of the manifold.

Then, on September 6, 1930, a year into production, work on Peludópolis was halted when President Yrigoyen was ousted by a Conservative military coup d ' état.

To only get rotations we insist that d is the complex conjugate of a, and c is the negative of the complex conjugate of b. Then we have two complex numbers, a and b, subject to | a |< sup > 2 </ sup >+| b |< sup > 2 </ sup >= 1.

a, b, d (/ th ), e, f, g, h, i, k, l, m, n, o, p, r, s, t, and v. Then there are three special umlauted runes, that are marked by two dots above them.

Then they would take me in their car, and while they were driving us to the prom, the mother would say, “ Mike, did you know that Gloria plays the violin ?” And I would say, “ Really ?” and she would say, “ Yes, would you like to hear her play some time ?” And I ’ d say, “ Sure ,” and she would pull a violin out from under the seat of the car and hand it to Gloria and Gloria would then proceed to play the violin for me all the way to the prom.

Then I ’ d retire to Cornwall and spend the rest of my life laughing my fucking head off.

Then, in 1930, the OGPU forced two officers to testify that Tukhachevsky was plotting to overthrow the Politburo via a coup d ' état.

Then, a number X is in the set K ( N ) ( defined above ) if and only if X = d Inv ( d, ( N-1 )/ d ) for some unitary divisor d of N-1.

Then she was married at a young age to Lestat's father, the Marquis d ' Auvergne.

Then he would get to his feet, as though rising in honor of his own remarkable powers, and say almost invariably, `` Gentlemen, this is an amazing story!!

Then, Jesus indicated that God's forgiveness is unlimited.

Certainly, the meaning is clearer to one who is not familiar with Biblical teachings, in the New English Bible which reads: `` Then Jesus arrived at Jordan from Galilee, and he came to John to be baptized by him.

Then it added: `` It is not possible to determine how extensive these ill effects will be -- nor how many people will be affected ''.

Then the words fell into a pattern: `` Mollie the Mutton is scratching her nose, Scratching her nose in the rain.

Then he thought of Aaron Blaustein standing in his rich house saying: `` God is tired of taking the blame.

Then it is marked on the inside where it comes in contact with the transom, frames, keelson and all the battens.

Then it is replaced and fastened.

Then the chines are rounded off and the bottom is rough-sanded in preparation.

Then, a group of eggs is deposited in a cavity in the beebread loaf and the egg compartment is closed.

Then there is a diagonalizable operator D on V and a nilpotent operator N in V such that ( A ) Af, ( b ) Af.

Then in 2 we show that any line involution with the properties that ( A ) It has no complex of invariant lines, and ( B ) Its singular lines form a complex consisting exclusively of the lines which meet a twisted curve, is necessarily of the type discussed in 1.

Then, too, the utmost clinical flexibility is necessary in judiciously combining carefully timed family-oriented home visits, single and group office interviews, and appropriate telephone follow-up calls, if the worker is to be genuinely accessible and if the predicted unhealthy outcome is to be actually averted in accordance with the principles of preventive intervention.

Then the editorial added prophetically: `` how far they may reach in Asia is yet undetermined, but they fall far short of our dreams of the war conferences ''.

Then she catapults into `` everything and everybody '', putting particular violence on `` everybody '', indicating to the linguist that this is a spot to flag -- that is, it is not congruent to the patient's general style of speech up to this point.

Then comes the time when the last wire is removed and Susie walks out a healthier and more attractive girl than when she first went to the orthodontist.

Then, with the new affluence, there is actually a sallying forth into the wide, wide world beyond the precincts of New York.

Then, if the middle number is activated to its greatest potential in terms of this square, through multiplying it by the highest number, 9 ( which is the square of the base number ), the result is 45 ; ;