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So every abstract Lie algebra is the Lie algebra of some ( linear ) Lie group.
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So and every
So much had he become the rage that every rich woman who had mislaid a bracelet or lost a pet kitten rushed to secure the services of the great Hercule Poirot.
So to classify these groups one takes every central extension of every known finite simple group, and finds all simple groups with a centralizer of involution with this as a component.
) So far, observations show any rotation of the Universe is very slow ( no faster than once every 60 · 10 < sup > 12 </ sup > years ( 10 < sup >− 13 </ sup > rad / yr )), and debate persists over whether there is any rotation.
So in particular, every central idempotent a in R gives rise to a decomposition of R as a direct sum of the corner rings aRa and.
So long as everyone was using the same tactics these weaknesses were not immediately apparent, but with the advent of the Roman legion they proved fatal in every major engagement, the most famous being the Battle of Pydna, as the Romans were able to advance through gaps in the line and easily defeat the phalangites once in close.
So she pored over every book on mathematics in her father's library, even teaching herself Latin and Greek so she could read works like those of Sir Isaac Newton and Leonhard Euler.
So every time a message is sent to these instances they actually get sent, hence they intercede in the message sending process.
" 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.
So much sediment is carried by the Mekong's various branches and tributaries that the delta advances sixty to eighty meters into the sea every year.
So path-ascending crawler was introduced that would ascend to every path in each URL that it intends to crawl.
So, out of every 16 nucleons ( 2 neutrons and 14 protons ), 4 of these ( 25 % of the total particles and total mass ) combine quickly, once temperatures are lowered, into one helium-4 nucleus.
So, at every moment of time there exists not only a wave function, but also a well-defined configuration of the whole universe.
Moreover Bacchylides's line " So now for me too countless paths extend in all directions " has a close resemblance to lines in one of Pindar's Isthmian Odes ( 1. 1 – 2 ), " A thousand ways ... open on every side widespread before me " but, as the date of Pindar's Isthmian Ode is uncertain, it is not clear in this case who was imitating whom.
He wrote in 1939, “ So much of every art is an expression of the subconscious that it seems to me most of all the important qualities are put there unconsciously, and little of importance by the conscious intellect .”
So the conditions of an eclipse are met when the new or full moon is near one of the nodes, which occurs every 5 or 6 months ( the Sun, being in conjunction or opposition to the Moon, is also at a node of the Moon's orbit at that time-this happens twice in an eclipse year ).
:" So, distinguishing the whole people by the several arts and trades, he formed the companies of musicians, goldsmiths, carpenters, dyers, shoemakers, skinners, braziers, and potters ; and all other handicraftsmen he composed and reduced into a single company, appointing every one their proper courts, councils, and observances.
So and abstract
So, in the last couple of years, abstract expressionism has tended toward romantic suggestion -- indications of landscape or living figures.
So, since the critic already grasps the relation between the abstract and the concrete, he is invited to stop thinking that it implies a contradiction.
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 long as we arbitrarily use the Quantitative properties of some Quality or other as a Rule to Measure the magnitude of other Qualities, we abstract from it its Qualitative nature.
So the SOAP binding, for example, is one way to expose the abstract functionality ( and there could be others ).
So I guess you could say that we're trying to combine the hand craftedness of the pictorialists, the forms and palletes of abstract expressionist painting and the formalism of modernist photography and produce tings that will last.
So we need to re-think over what people initially take to be right, and abstract out everything that has nothing to do with reality .”
So and Lie
So in some sense formal group laws are the " right " substitute for Lie algebras in characteristic p > 0.
So and algebra
So, a collection of functions with given signatures generate a free algebra, the term algebra T. Given a set of equational identities ( the axioms ), one may consider their symmetric, transitive closure E. The quotient algebra T / E is then the algebraic structure or variety.
So in the sense we explained above, these pairs constitute an algebra something like the real numbers.
So we think of a noncommutative C *- algebra as the algebra of functions on a ' noncommutative space ' which does not exist classically.
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