Some theorems related to compactness ( see the glossary of topology for the definitions ):

Some of the axioms coincide, while some of the axioms in Moore's system are theorems in Hilbert's and vice-versa.

Some mathematical theorems and axioms are referred to as laws because they provide logical foundation to empirical laws.

Some modern magicians, such as Aleister Crowley and those who follow the traditions of the Hermetic Order of the Golden Dawn and Ordo Templi Orientis, describe magic in rational terms, using definitions, postulates and theorems.

Some logicians, while accepting that classical mathematics is correct, still believe that the constructive approach gives a better insight into the true meaning of theorems, in much this way.

Some theorems on the coefficients c < sub > n </ sub > include:

Some basic theorems of Riemannian geometry can be generalized to the pseudo-Riemannian case.

Some of the more recent graphing calculators are capable of color output, and also feature animated and interactive drawing of math plots ( 2D and 3D ), other figures such as animated Geometry theorems, preparation of documents which can include these plots and drawings, etc.

* 1951 is Gödel's 1951 Gibbs lecture, " Some basic theorems on the foundations of mathematics and their implications.

Some scholars have debated over what, if anything, Gödel's incompleteness theorems imply about anthropic mechanism.

One of the earliest attempts to use incompleteness to reason about human intelligence was by Gödel himself in his 1951 Gibbs lecture entitled " Some basic theorems on the foundations of mathematics and their philosophical implications ".

He later changed his mind and submitted a thesis in 1926, titled Some theorems about integral solutions to certain algebraic equations and inequalities.

Some major theorems characterise relatively compact subsets, in particular in function spaces.

Some theorems on abelian varieties require the idea of abelian variety up to isogeny for their convenient statement.

Some examples of topics in geometric topology are orientability, handle decompositions, local flatness, and the planar and higher-dimensional Schönflies theorems.

Some theorems from Gauss's theory of circle division

Some theorems from the theory of circle division

Some logical systems are not adequately represented by the set of theorems alone.

Some cognitive linguists have replied to such objections by pointing out that the goal of Cognitive Linguistics is not to construct a formal system in which theorems are proved, but rather to better understand the cognitive basis of language ( cf.

Some of us might be inclined to argue, in fact, that an independence of mind and action and an intolerance of regimentation, either mental or physical, are particularly Southern traits.

Some years ago Julian Huxley proposed to an audience made up of members of the British Association for the Advancement of Science that `` man's supernormal or extra-sensory faculties are ( now ) in the same case as were his mathematical faculties during the ice age ''.

Some are fishing, some driving the team, and many are sitting indolently on the banks of the river.

Some historians have found his point of view not to their taste, others have complained that he makes the Tory tradition appear `` contemptible rather than intelligible '', while a sympathetic critic has remarked that the `` intricate interplay of social dynamics and political activity of which, at times, politicians are the ignorant marionettes is not a field for the exercise of his talents ''.

Some of the marble busts in the park are of young Englishmen who fought and died for Garibaldi.

Some accounts are quite lengthy but Florida's is the shortest of all, requiring only four paragraphs.

Some plant-location specialists take these signs to mean St. Louis county doesn't want industry, and so they avoid the area, and more jobs are lost.

Some fiscal changes are important.

Some brilliant rookies nailed them down, so that this spring just two spots, left and right field, are really up for grabs.

Some of the stumps are as much as three feet long, but most of them have been flattened by the pressure of the overlying sediments.

Some privately held inholdings are a source of direct damage to these Federal lands.

Some 45 frequencies are assigned for use primarily by dominant Class 1, -- A or Class 1, -- B clear-channel stations, designed to operate with adequate power and to provide service -- both groundwave and ( at night ) skywave -- over large areas and at great distances, being protected against interference to the degree necessary to achieve this objective.

Some deductions are subtracted from Gross Income to determine Adjusted Gross Income.

Some renditions are of symphonic dimensions, with the contrabass given free rein.

Some of them are obvious, such as the fact that we associate recorded and live music with our responses and behavior in different types of environments and social settings.

Some tasty frank toppings are chili con carne, Coney Island sauce and savory sauerkraut.

Some general things to look for in a site, if you haven't already bought one, are accessibility, water drainage, and orientation.

Some distribution costs are kept up by competitive pressure, some by the fact that the customers have come to expect certain niceties and flourishes.

Some of these temperatures are plotted in figure 4.

( Some suspensions break up before they are near to the direction of shear, and some become asymptotic to it without breakup.

Some experiments are composed of repetitions of independent trials, each with two possible outcomes.

Some of these speculations may have some merit, others are somewhat ambiguous.

Some phonetic features, for example glottal catch or murmur, are sometimes to be assigned to segmental phonemics and sometimes to accentual systems.

Some are failing to achieve as much as their ability would permit ; ;