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So the polar equation of the pedal is
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So and polar
So the polar subtangent is
then the vector ( cos α, sin α ) is parallel to the segment PX, and the length of PX, which is the distance from the tangent line to the origin, is p. So X is represented by the polar coordinates ( p, α ) and replacing ( p, α ) by ( r, θ ) produces a polar equation for the pedal curve.
The final value of x will be the magnitude of the original vector scaled by K. So, an obvious use of the vectoring mode is the transformation from rectangular to polar coordinates.
So, polynyas are suspected to be places where intense and early production of the planktonic herbivores ensure the transfer of solar energy ( food chain ) fixed by planktonic microalgae to Arctic cod, seals, whales, and polar bears.
So and equation
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 the equation of the parabola is or
So due to this duality of creation, they say, the artistic part of this equation can be further subdivided into both secular and religious artwork.
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 if the equation is linear, a linear combination of plane waves is also an allowed solution.
So the probabilities obey the discretized diffusion equation:
So in equation ( 1 ) above, the second term dominates.
So Hilbert was asking for a general algorithm to decide whether a given polynomial Diophantine equation with integer coefficients has a solution in integers.
So pricing follows this equation:
So the equation can be can be restated as:
So that the right-hand side of equation () is unaffected by changing the basis f to any other basis fA whatsoever.
So if is small in magnitude, we can consider it to define small deviations from the geometry of a flat plane, and if we retain only first order terms in computing the exponential, the Ricci flow on our two-dimensional almost flat Riemannian manifold becomes the usual two dimensional heat equation.
So, for example, concepts like singularities ( the most widely known of which in general relativity is the black hole ) which can not be expressed completely in a real world geometry, can correspond to particular states of a mathematical equation.
So while Spalart-Allmaras model based DES acts as LES with a wall model, DES based on other models ( like two equation models ) behave as a hybrid RANS-LES model.
So, a first degree polynomial equation is an exact fit through any two points with distinct x coordinates.
So the equation becomes
So this equation can be seen as a version of the equation for a simple gravity pendulum with a length equal to the radius of the Earth.
So the mean longitude is an abstracted quantity for Keplerian orbits, still proportional to the time, but now only indirectly related to the position of the orbiting body: the difference between the mean longitude and the true longitude is usually called the equation of the center.
So the equation above can be rewritten as
So to get back, from the above equation means finding the inverse Radon transform.
So and pedal
So, when the foot plate of the pedal is pressed, the top cymbal crashes onto the bottom cymbal ( closed hi-hat ).
" Buck Nekkid " is a moderate swing, while " Goin ' So Good " is a slow ballad, the latter of which Gibbons used a 1949 Fender Telecaster prototype and played Steve Cropper-tinged licks ; he traded phrases in call and response form with a pedal steel guitar.
So and is
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 ; ;
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