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So the function F must be nonlinear.
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So and function
Bovril continued to function as a " war food " in World War I and was frequently mentioned in the 1930 account Not So Quiet ... Stepdaughters of War by Helen Zenna Smith ( Evadne Price ).
So assume ƒ is differentiable at 0, as a function of two real variables from Ω to C. This is equivalent to the existence of two complex numbers and ( which are the partial derivatives of ƒ ) such that we have the linear approximation
So, given an integral domain R, it is often very useful to know that R has a Euclidean function: in particular, this implies that R is a PID.
So the logarithm function is in fact a group isomorphism from the group ( R < sup >+</ sup >,< big >×</ big >) to the group ( R ,< big >+</ big >).
So the paradox rests in how does one's self create, and know how to create into existence that which one's self requires to exist, function, or even know itself exists?
So the syntactic category for an intransitive verb is a complex formula representing the fact that the verb acts as a function word requiring an NP as an input and produces a sentence level structure as an output.
So, we see that the TOI input power level is simply 4 / 3 times the ratio of the gain and the cubic distortion term in the device transfer function.
So if the wave function itself is reality ( rather than probability of classical coordinates ), quantum mechanics can be said to be deterministic.
So this function is not a bijection since two strings correspond to one number — a number having two binary expansions.
So, at every moment of time there exists not only a wave function, but also a well-defined configuration of the whole universe.
So initially the whole function just gets rescaled, and it maintains the property that its time derivative is proportional to itself, so for all times t,
So the Rhine had become a frontier and the Rheinschanze was cut off politically from Mannheim and lost its function as the neighbouring city's military bulwark.
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, λ < sub > k </ sub > is the rate of change of the quantity being optimized as a function of the constraint variable.
So, while majority of Māori encouraged their children to learn the English language and Pākehā ways of life to function economically and socially, Māori were pushed as well as pulled into changing culture.
So if there were similar cohomology groups for varieties over finite fields, then the zeta function could be expressed in terms of them.
So and F
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, 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 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 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 and must
So we must first analyze our present institutions with respect to the effect of each on man's major needs.
So be it -- then we must embark on a crash program for 200-megaton bombs of the common or hydrogen variety, and neutron bombs, which do not exist but are said to be the coming thing.
So impressive were those serious years of study at the university that Hans later wrote, `` to be perfectly free, the young man must revel in the great kingdom of thought and imagination ; ;
So, after the sitting has been held, several readings at one time are mailed, and the distant sitter ( whose name or whose communicator's name was given to the medium ) must mark each little item as Correct ( Hit ), Incorrect ( Miss ), Doubtful, or Especially Significant ( applying to him and, he feels, not to anyone else ).
So, after considering everything very thoroughly, I must finally conclude that the proposition, I am, I exist, is necessarily true whenever it is put forward by me or conceived in my mind.
In 1702, Thomas Savery wrote in The Miner's Friend: " So that an engine which will raise as much water as two horses, working together at one time in such a work, can do, and for which there must be constantly kept ten or twelve horses for doing the same.
So as it approaches its destination, the spaceship must increase its speed if the destination is closer to the Sun, or decrease its speed if the destination is further away ( assuming a Hohmann transfer orbit ).
So a further rule is laid down: if a daughter inherits land, she must marry someone within her father's tribe.
He concluded, " So, please " Cornucopians ," let's not hear any more of the Ehrlich-Simon bet, which proves, in fact, both that man is mortal and must make short-term bets, and, more importantly, that Ehrlich's argument was right ( so far ).
So analysing and clarifying the way the world is must be treated as a strictly separate question to normative and evaluative ought questions.
In fact, if we consider files of length N, if all files were equally probable, then for any lossless compression that reduces the size of some file, the expected length of a compressed file ( averaged over all possible files of length N ) must necessarily be greater than N. So if we know nothing about the properties of the data we are compressing, we might as well not compress it at all.
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.
Moore says that, “ references to Roman locales must have been stunning for they are not merely references to things Roman, but the most blatant possible reminders that the production occurs in the city of Rome .” So, Plautus seems to have choreographed his plays somewhat true-to-life.
So we can conclude that the original proposition, ¬ p, must be true — " there is no smallest rational number greater than 0 ".
" So, if one agrees with the statement that truth is mutual agreement, truth must be relative and necessarily arise in persuasion.
So to achieve these good moves, a player must force his or her opponent to play moves that relinquish those good moves.
So, is a set of linearly independent vectors in the column space of and, hence, the dimension of the column space of ( i. e. the column rank of ) must be at least as big as.
" So, while " each and every law must be rooted in either the Qur ' an or the Sunnah ," without contradiction, tribal life brought about a sense of participation.
So a ToE must work for a wide range of simple examples in such a way that we can be reasonably confident it will work for every situation in physics.
When confronted about a female ’ s right to preach, she responded that “ all the children, both male and female, must be subject to their parents ; and the woman, being second, must be subject to her husband, who is the first ; but when the man is gone, the right of government belongs to the woman: So is the family of Christ .”
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