So the parameters are: a — distance from center C to either vertex b — length of a perpendicular segment from each vertex to the asymptotes c — distance from center C to either Focus point, F < sub > 1 </ sub > and F < sub > 2 </ sub >, and θ — angle formed by each asymptote with the transverse axis.

So, an aircraft traveling at Mach 1 at 20 ° C or 68 ° F, at sea level, will experience shock waves in much the same manner as when it is traveling at Mach 1 at 11, 000 m ( 36, 000 ft ) at-50 ° C or-58F, even though it is traveling at only 86 % of its speed at higher temperature like 20 ° C or 68 ° F.

So, the parabola can be written as ; and for a parabola such as f ( x )= x², the a coefficient is 1, so the focus F is ( 0, ¼ )

So, " integrating " F over two boundary points a, b is taking the difference F ( b ) − F ( a ).

So, just like one can find the value of an Integral ( f = dF ) over a 1-dimensional manifolds () by considering the anti-derivative ( F ) at the 0-dimensional boundaries (), one can generalize the fundamental theorem of calculus, with a few additional caveats, to deal with the value of integrals ( dω ) over n-dimensional manifolds ( Ω ) by considering the anti-derivative ( ω ) at the ( n-1 )- dimensional boundaries ( dΩ ) of the manifold.

So the function F must be nonlinear.

* 1980: Been in the Storm So Long by Leon F. Litwack

So in the time it takes for the water to reach the boiling point ( 212 ° F or 100 ° C ) from 160 ° F ( 70 ° C ), all pathogens will be killed, even at high altitude.

So F can be replaced by F-G and G by the constant function 0, making the goal to prove that an everywhere differentiable function whose derivative is always zero must be constant:

So if A is an algebra over K, then is an algebra over F.

* Ransom, Candice F. So Young to Die: the Story of Hannah Senesh.

So tunes played in the key of G will not have an F # note.

So it is convenient to write J < sub > 0 </ sub > as Z < sub > F </ sub > D < sub > F </ sub >, where the " effective supply " Z < sub > F </ sub > is the current density that would have to be carried by state F inside the metal if all of the emission came out of state F.

* D is an elliptic differential operator from E to F. So in local coordinates it acts as a differential operator, taking smooth sections of E to smooth sections of F.

So great a man could not but understand, too, that the thing that moves men to sacrifice their lives is not the error of their thought, which their opponents see and attack, but the truth which the latter do not see -- any more than they see the error which mars the truth they themselves defend.

So we see that a specialist is a man who knows more and more about less and less as he develops, as contrasted to the generalist, who knows less and less about more and more.

So in these pages the term `` technology '' is used to include any and all means which could amplify, project, or augment man's control over himself and over other men.

So it is that we relive his opening statement in the first television address with the dramatic immediacy of the present.

So far as the existing body of formal principle and procedure is concerned, categorical novelties are not to be anticipated in Jewish-Gentile relationships ; ;

Again omitting recent developments, E.T. Leeds' dictum of 1913 has stood unchallenged: `` So far as archaeology is concerned, there is not the least warrant for the second ( shore occupied by ) of these theories ''.

So far as I am concerned, the child is unmistakably father to the man, despite the obvious fact that child and father differ greatly -- sometimes for the better and sometimes for the worse.

So far as the record is concerned, the Western powers have not acquiesced and should not do so.

So, while we properly inveigh against the new poisoning, history is not likely to justify the pose of righteousness which some in the West were so quick to assume when Mr. Khrushchev made his cynical and irresponsible threat.

So don't see yourself as a heroine or fancy this little adventure is an event of major importance ''.

( Note: So far as State Police cars are concerned, only their replacement is under this division ).

So many times I have wondered why veterinarians do not wipe the table clean before each new canine patient is placed on it for examination.

So far as I can see, there is only one way out for the positivist.

So far these remarks, like most criticisms of Hardy, have tacitly assumed that his poetry is all of a piece, one solid mass of verse expressing a sensibility at a single stage of development.

So it is with Great Expectations, whether the hands be Orlick's as he strikes down Mrs. Gargery or Pip's as he steals a pie from her pantry.

So Dartmouth is moving closer to the others in the Ivy group.

So, too, is the mathematical competence of a college graduate who has majored in mathematics.

So is the time of the novel.

`` So there it is '', he said.

So what I am trying to tell you is the ' why ' -- that is my point -- and that concerns the spirit of the matter.

So you can see that Gerald G. Ramsey, director of SMU's food services, is not the ordinary type of craven, women-trodden chef.

So it is too with many other spirits which we all know: the spirit of Nazism or Communism, school spirit, the spirit of a street corner gang or a football team, the spirit of Rotary or the Ku Klux Klan.

The biblical symbol for this affirmation is expressed in the words: `` So God created man in his own image ; ;

Again, on average the worker can transfer no more than the value of these means of labor previously possessed to the finished cup of coffee So the value of coffee produced in a day equals the sum of both the value of the means of labor — this constant capital — and the value newly added by the worker in proportion to the duration and intensity of their work.

So, dissociation constant may be given as

So for the gravitational force — or, more generally, for any inverse square force law — the right hand side of the equation becomes a constant and the equation is seen to be the harmonic equation ( up to a shift of origin of the dependent variable ).

So although the pumping speed remains constant, the throughput and mass flow rate drop exponentially.

So, when a reaction has a rate constant that obeys the Arrhenius equation, a plot of ln ( k ) versus T < sup > − 1 </ sup > gives a straight line, whose gradient and intercept can be used to determine E < sub > a </ sub > and A.

So setting C to zero can still leave a constant.

So the drag coefficient can often be treated as a constant.

So it was useful to express these masses in units of solar masses ( see Gaussian gravitational constant ).

So the ideal radiation pattern of a feed antenna would be a constant field strength throughout the solid angle of the dish, dropping abruptly to zero at the edges.

So the derivation of the constant function above is also valid in general relativity to the order of the approximation but we have to use the precessing orbital plane and its slightly decreased mean motion to determine the perihelion period.

So on one hand the speed of the stream remains constant, but on the other hand at larger proximity to zz the density of the stream increases and therefore its intensity is proportional to 1 / r < sup > 2 </ sup >.

So, f is constant.

So while the core mathematical construct of guidance has remained fairly constant, the facilities surrounding GN & C continue to evolve to support new vehicles, new missions and new hardware.

always keeping in mind that n is the position of the node among the ones of level k or higher for integer k. So the search time is constant in the best case ( if the found node is the highest possible level ) and 2 times the worst case for the search time for the totally derandomized skip-list ( because we have to keep moving left twice rather than keep moving left once ).

So, you can do something like ( or, alternatively ) which places the constant 14 into the address which is 12 words more than the address of Z.

So that variable will be kept constant or monitored to try to minimise its effect on the experiment.

So with certainty we know whether is constant or balanced.

So while dates of all Hindu festivals keep changing as per the Gregorian calendar, the date of Makar Sankranti remains constant over a long term, 14 January.

The constant ranking of her ' 80s releases of the ' 80s as moderate or minor R & B hits led Houston to concentrate on alternate exposure: having appeared in the independent film The Seventh Dwarf in 1979, Houston made guest-starring appearances into the mid-1980s in several popular television programs including Cagney & Lacey, Simon & Simon-a January 1986 appearance that featured her performing " You Used to Hold Me So Tight "-and Faerie Tale Theatre.

So for an observer rotating at a constant distance of r from a given point in spacetime at a constant angular rate of ω between coordinate times and, the proper time experienced will be

So the choice of the constant C < sub > k </ sub > is especially important-taking too small value will lead to fast growth of the norm of b < sub > k </ sub > and to the overflow ; for too big C < sub > k </ sub > vector b < sub > k </ sub > will tend to zero.