So also these curves, called anomalous curves, are not to be used in DLP.

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 the dimension depends on the base field.

For example, the genus of a smooth projective curve C which is an interesting invariant of the curve, is an integer, which can be read off the dimension of the first Betti cohomology group of C. So, the motive of the curve should contain the genus information.

So incredible were the energies released during the battle that space and time itself was rended by the final explosion, and Starscream was hurtled into to another dimension along with Sideways and Soundwave.

So every vector space is completely decomposable ( indeed, semisimple ), with infinitely many summands if the dimension is infinite.

So, the leadership, the presidency of this organization also must reflect this unique character, unique dimension of the organization.

So a single complex dimension is really two dimensions, but of different kinds.

So if V < sub > J </ sub > is has complex dimension n ( real dimension 2n ) then

So it was that when Mr. Brown and Mr. Sharpe first saw the French tool on exhibition in Paris in 1868, they brought a sample with them to the United States and started Brown & Sharpe in yet another field where it retains its leadership to this day.

So we asked such men in major companies in the design field to offer their opinions on the `` dual-road-up '' problem -- and more importantly -- their solutions.

So one has to introduce the charge conjugate antiparticle field, with its own creation and annihilation operators satisfying the relations

Some modification of the Feynman rules of calculation may well outlive the elaborate mathematical structure of local canonical quantum field theory ...” So far there are no opposing opinions.

So when Esau went to the field to hunt for game to bring home, Rebekah said to her son Jacob, " Behold, I heard your father speak to your brother Esau, saying, ' Bring me some game and prepare a savory dish for me, that I may eat, and bless you in the presence of the lord before my death.

So mu-metal shields are often made of several enclosures one inside the other, each of which successively reduces the field inside it.

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 many died in such a small area that the field was said to have been still whitened with bleached bones 70 years after the battle.

So the strength of the magnetic field possible from an iron core electromagnet is limited to around 1. 6 to 2 T.

So for all intents and purposes, the cage will generate the same DC electric field that it would generate if it was simply affected by the charge placed inside.

So, integrating the field's divergence over the interior of the region should equal the integral of the vector field over the region's boundary.

So, fields that must wash paintball paint into municipal wastewater facilities, or that have substantial rain runoff into bodies of water that are used as sources of drinking water, are generally required by the municipality to restrict players to only certain paint formulations ; the easiest way to achieve this is to sell only approved paint and require that field paint be used.

So while modern natural history dates historically from studies in the ancient Greco-Roman world and the medieval Arabic world through to the scattered European Renaissance scientists working in near isolation, today's field is more of a cross discipline umbrella of many specialty sciences.

< http :// www. pinetoppers. com / media / pdf / historic_luther_williams_field. pdf </ ref > So far, the field has been home to six professional baseball teams in Macon.

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, in the space between two infinite wires separated by a distance,, the magnitude of the field is:

* Spec k, the spectrum of the polynomial ring over a field k, which is also denoted, the affine line: the polynomial ring is known to be a principal ideal domain and the irreducible polynomials are the prime elements of k. If k is algebraically closed, for example the field of complex numbers, a non-constant polynomial is irreducible if and only if it is linear, of the form t − a, for some element a of k. So, the spectrum consists of one closed point for every element a of k and a generic point, corresponding to the zero ideal.

So all that needs to be proved here is that the formula above does indeed define a vector field.

So if X is a vector field, one has

So a recent graduate with a Master's degree in accounting may have to work in a low-paid job until they are able to find work in their field.

So ingrained was the belief that parallel computing was the future of all performance gains that the Fifth-Generation project generated a great deal of apprehension in the computer field.

So, on some occasions, Red Star supporters had the tendency to burst onto the field and literally burn both goal-posts.

So I am first making this proclamation: You French bandits, if you think you are strong enough, send your rabble of soldiers to Phu Hoai to fight in the open field with my tiger warriors, and then we will see who is the strongest.

So the issue of " acceptability ", up to that time mainly concerning theory, finally became experimentally decidable.

So " In the theory of the revolution " of anarcho-communism as elaborated by Peter Kropotkin and others " it is the risen people who are the real agent and not the working class organised in the enterprise ( the cells of the capitalist mode of production ) and seeking to assert itself as labour power, as a more ' rational ' industrial body or social brain ( manager ) than the employers.

So, under the assumption that the theory is consistent, there is no such number.

So the basic theory says that raising the minimum wage helps workers whose wages are raised, and hurts people who are not hired ( or lose their jobs ) because companies cut back on employment.

So when one studies string theory at low energies, it becomes difficult to see that strings are extended objects — they become effectively zero-dimensional ( pointlike ).

So the Mentat is not a purely " left brain " type of intelligence with only a simplistic-autistic cognition, they are profoundly aware of nuance, subtlety and the kind of " sensitivity to initial conditions " which is studied in Chaos theory.

So, despite the interest, the flaw in EPR's argument was not discovered until 1964, when John Stewart Bell demonstrated precisely how one of their key assumptions, the principle of locality, conflicted with quantum theory.

So far as we know, there is no religious establishment or organized body that has in its creed or confession of faith any article denying or affirming such a theory.

So far as we know, the denial or affirmation of such a theory does not enter into any recognized mode of worship.

So far, the quest for a theory of everything is thus unsuccessful on two points: neither a unification of the strong and electroweak forces – which Laplace would have called ` contact forces ' – has been achieved, nor a unification of these forces with gravitation has been achieved.

So how can we know we have an adequate theory for describing the motion of projectiles?

So 50 supercomputers would be required to process ( 10 < sup > 18 </ sup >) operations per second ) would in theory require about 3 × 10 < sup > 51 </ sup > years to exhaust the 256-bit key space.

So, under the assumption that the theory is consistent, there is no such number.

( So is S but S is an individual theory.

So unlike a probability theory, a quantum theory has a large number of different bases in which it can be equally well described.

So every antiunitary symmetry in a theory with positive energy must reverse the direction of time.

So striking are the differences between the different periods of the Ellery Queen character that Julian Symons advanced the theory that there were two " Ellery Queens " — an older and younger brother.

So it is rational to choose the well-corroborated theory ; it may not be more likely to be true, but at least it is easier to get rid of it if not.

So while the Humean thesis may be a truth about explanation it is not true about the structure of justification and it ought to be replaced by Nagel's motivated desire theory as set out in his The Possibility of Altruism ( Oxford University Press, 1970 ).

So theory can be summarized as follows:

So in theory the full course of studies might lead in succession to the degrees of e. g. Bachelor of Arts, Licentiate of Arts, Master of Arts, Bachelor of Medicine, Licentiate of Medicine, Doctor of Medicine ; the same succession, bachelor-licentiate-doctor, has persisted till today, for instance, in Sacred theology: Bachelor of Sacred Theology ( STB ), Licentiate of Sacred Theology ( STL ), and Doctor of Sacred Theology ( STD ), and in Canon law: Bachelor of Canon Law ( JCB ), Licentiate of Canon Law ( JCL ), and Doctor of Canon Law ( JCD ).

So, it may be possible to construct a coherent theory of the world, which does not correspond to what actually occurs in the world.

So Kelvin re-iterated an idea that Fatio had originally proposed in the 1690s for attempting to deal with the thermodynamic problem inherent in Le Sage's theory.