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 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

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.

So the polar equation of the pedal is

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 with four complete Push-Pull Super-Sets No. 1, four of No. 2, four of No. 3 and four to six sets of the Incline Bench Press, you can see that Henri De Courcy has had a terrific mass-building, muscle-shaping, torso-defining workout that cannot be improved upon.

After Christians in Ephesus first wrote to their counterparts recommending Apollos to them, he went to Achaia where Paul names him as an apostle ( 1 Cor 4: 6, 9-13 ) Given that Paul only saw himself as an apostle ' untimely born ' ( 1 Cor 15: 8 ) it is certain that Apollos became an apostle in the regular way ( as a witness to the risen Lord and commissioned by Jesus-1 Cor 15: 5-9 ; 1 Cor 9: 1 ).< ref > So the Alexandrian recension ; the text in < sup > 38 </ sup > and Codex Bezae indicate that Apollos went to Corinth.

The Paige / Dickson duet " I Know Him So Well " became a major UK # 1 hit, and Murray Head's " One Night in Bangkok " gave Andersson / Ulvaeus a US # 3 hit.

So, this makes an additional calculation necessary on top of the normal calculation for January 1 and the calculation of whether or not the year is a leap year.

So " 0 " will have exactly one successor, which for convenience we can call " 1 ".

So the net acceleration ( actually a deceleration ) of the rotation of the Earth, or the change in the length of the mean solar day ( LOD ), is + 1. 7 ms / day / cy.

So P < sub > n </ sub > agree with the Bernoulli polynomials on the interval ( 0, 1 ) and are periodic with period 1.

This occurs in the context of Irenaeus ' work On the Detection and Overthrow of Knowledge Falsely So Called, ( Greek: elenchos kai anatrope tes pseudonymou gnoseos genitive case, ἔλεγχος καὶ ἀνατροπὴ τῆς ψευδωνύμου γνώσεως ) where the term " knowledge falsely so-called " ( nominative case pseudonymos gnosis ) covers various groups, not just Valentinus, and is a quotation of the apostle Paul's warning against " knowledge falsely so-called " in 1 Timothy 6: 20.

So, all works of Lovecraft published during his lifetime, became public domain in all 27 European Union countries on 1 January 2008.

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.

Macbeth's first line is " So foul and fair a day I have not seen " ( 1. 3. 38 ).

" So if you write something that knows 1. 0, what should you do if you encounter 2. 0 or 1. 1?

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 if L ( r ) is proportional to r < sup >− 2 </ sup >, then for to be finite, N ( r ) must be proportional to r < sup > b </ sup >, where b < 1.

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, rather than accept a guaranteed conviction, the case went to trial, at a cost of over $ 1 million, and high emotional cost to the van Dam family.

( So player 1 makes the first 4 moves of the game, but the stone colors still alternate ).

So 3n − m ≥ 1 ; hence a game can last no more than 3n − 1 moves.

So, if anybody solicits by phone, make sure you mail the dough to the above.

So far, only a single bird species, which has not been named, has been confidently identified from both above and below the K-Pg boundary ( it is present in the Maastrichtian Hell Creek Formation and Danian Fort Union Formation ).

So in the second case cited above, it is likely that two different versions are being conflated: one version with an embassy of three people, another with just two people.

So the above product is always equal to the difference quotient, and to show that the derivative of at a exists and to determine its value, we need only show that the limit as x goes to a of the above product exists and determine its value.

So, due to the above mentioned, especially in the consecutive sequences of events, the Hierarchs of Alexandria were considered holding too much of power from one hand, and on the other hand, due to the conflict of the Schools of Theology, there would be an impasse and a scapegoat, i. e. Pope Dioscorus.

So in the example above, the has simply been replaced by < code >< nowiki > http :// usemod. com / cgi-bin / mb. pl ?</ nowiki ></ code > in creating the target of the HTML rendered link.

So to look at lexicogrammar, we can analyze it from two more levels, ' above '( semantic ) and ' below ' ( phonology ).

So when a note is played, this gives the sensation of hearing other frequencies ( overtones ) above the lowest frequency ( the fundamental ).

So, in your discussions of the nuclear freeze proposals, I urge you to beware the temptation of pride, the temptation of blithely declaring yourselves above it all and label both sides equally at fault, to ignore the facts of history and the aggressive impulses of an evil empire, to simply call the arms race a giant misunderstanding and thereby remove yourself from the struggle between right and wrong and good and evil.

Indium antimonide, an example of a high mobility semiconductor, could have an electron mobility above 4 m < sup > 2 </ sup >· V < sup >− 1 </ sup >· s < sup >− 1 </ sup > at 300 K. So in a 0. 25 T field, for example the magnetoresistance increase would be 100 %.

So much water came from the Chenango, that the Susquehanna flowed backwards for some distance above the confluence.

So, Diomedes maneuvered his spear above Ajax's shield and attacked his neck, drawing blood.

So he took a camera crew to the U. S. Weather Bureau ( National Weather Service ) office with a WSR-57 radar console located on the 5th floor of the Post Office Building on 25th Street in downtown Galveston ( the antenna and its radome housing were located above the 7th floor, on the roof ).

For instance, if we look for the divisors of a number as described above, the number of candidates tested will be the given number n. So if n has sixteen decimal digits, say, the search will require executing at least 10 < sup > 15 </ sup > computer instructions, which will take several days on a typical PC.

So we can compute the ( i, j ) entry if we know the entries to the left and above.

So, in the example pictured above ( with ""), all the author needs to do to fix the error is move the cursor over the "", type ( the editor only has an overwrite mode ) and hit.

So, in the example above:

So an argument similar to the one above shows that there must be one of those adjacent vertices through which infinitely many vertices can be reached ; pick one and call it v < sub > 3 </ sub >.

So any multiple of g ( x, y )- 3 may be added to f ( x, y ) leaving f ( x, y ) unchanged in the region of interest ( above the circle where our original constraint is satisfied ).

So, not literally, but by inference, the noun < nowiki >'</ nowiki > pataphysics may connote matters that are “ above physics ” ( ta epi ta physika ).

So in the sense we explained above, these pairs constitute an algebra something like the real numbers.

So, for example, the character " a " ( U + 0061 ) combined with a circle above ( U + 030A ) ( i. e. å ) might be understood by a user as a single grapheme while being composed of multiple Unicode abstract characters.

So the Newton Polynomial above becomes: