Mathematics
epub |eng | | Author:Sergei Ovchinnikov

(Carathéodory Criterion). 2.23 Show that for any bounded set E, the following statements are equivalent: (a) E is measurable. (b)Given any ɛ > 0, there is an open set G ...
( Category: Calculus October 29,2015 )
epub, pdf |eng | | Author:Alfred S. Posamentier, Charles T. Salkind

Both and are complementary to an angle of measure α; therefore, they are congruent. Thus, ΔABE is isosceles, and, AB = BE = x (#5). 4-39If equilateral ΔABC is inscribed ...
( Category: Geometry & Topology October 28,2015 )
epub |eng | 2011-05-03 | Author:Jakob Trachtenberg

The first is the “simple” method, intended for people who are more or less non-mathematical–that is, they are in lines of work which require little mathematics, or they have only ...
( Category: Arithmetic October 26,2015 )
epub |eng | | Author:Joseph Breuer

4 ORDERED SETS XI. Ordered Sets and Order-Types 1. In grammar one is taught the difference between numbers that tell order and those that tell the size of groups (ordinal ...
( Category: Set Theory October 25,2015 )
azw3 |eng | 2012-05-22 | Author:Coxeter, H. S. M. [Coxeter, H. S. M.]

having 96 vertices, 288+144 edges, 96+96+288 triangular faces, 24+96 tetrahedra, and 24 icosahedra. One type of edge is surrounded by one tetrahedron and two icosahedra, the other by three tetrahedra ...
( Category: Topology October 19,2015 )
azw3 |eng | 2010-09-27 | Author:Mlodinow, Leonard [Mlodinow, Leonard]

23. The Stuff of Space RYING TO understand what space was made of led to perhaps the greatest scientific breakthough ever. It was an intense struggle carried out for the ...
( Category: Geometry & Topology October 18,2015 )
azw3 |eng | 2013-08-20 | Author:Smullyan, Raymond M. [Smullyan, Raymond M.]

( Category: Logic October 18,2015 )
epub |eng | | Author:Andreas E. Kyprianou

( Category: Stochastic Modeling October 14,2015 )
azw3, mobi, epub |eng | 0101-01-01 | Author:Unknown Author

I asked a cross section of men to tell me what they considered the secrets of giving great oral sex and all of the usual complaints came up—she doesn't look ...
( Category: Atomic & Nuclear Physics October 13,2015 )
epub |eng | | Author:R. H. Dyer & D. E. Edmunds

and The homotopy may be viewed as continuously deforming into through a family of paths with prescribed endpoints. Definition 2.5.8 Let and be paths in a metric space such that ...
( Category: Calculus October 13,2015 )
epub, pdf |eng | | Author:Liviu Nicolaescu

(3.27) with Hamiltonian function Set . This action is not effective because the subgroup acts trivially. To obtain an effective action we need to factor out this subgroup and look ...
( Category: Topology October 12,2015 )
epub |eng | 2013-11-02 | Author:Timothy C. Urdan [Urdan, Timothy C.]

Writing It Up Writing up t test results for publication is generally similar for independent, dependent, and single-sample t tests. Usually, what gets reported are the means for the groups ...
( Category: Probability & Statistics October 12,2015 )
epub |eng | 2011-07-18 | Author:William Spaniel [Spaniel, William]

EUleft = EUright (σup)(-3) + (σdown)(1) = (σup)(2) + (σdown)(0) Although this may seem like a difficult task, note that σup and σdown must sum to one. That is, since ...
( Category: Game Theory October 12,2015 )
epub, pdf |eng | | Author:Leonor Godinho & José Natário

We can look for the global minima (or maxima) of the action by considering curves on . Definition 5.2 A variation of is a map (for some ) such that ...
( Category: Differential Geometry October 12,2015 )