Download Некоторые способы решения логических задач by Шевченко В.Е. PDF

By Шевченко В.Е.

ISBN-10: 364202288X

ISBN-13: 9783642022883

ISBN-10: 3642022898

ISBN-13: 9783642022890

В книге в научно-популярной форме изложены основные способы решения логических задач: здравым рассуждением, при помощи исчисления высказываний, составлением таблиц и построением графов.Пособие содержит свыше ста задач для самостоятельного решения, на которые в конце книги приведены ответы и краткие указания.Пособие рассчитано на учащихся физико-математических и средних общеобразовательных школ. Оно может быть использовано учителями математики при проведении внеурочной кружковой работы.

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Download Integral Equations with Difference Kernels on Finite by Lev A. Sakhnovich PDF

By Lev A. Sakhnovich

ISBN-10: 3319164880

ISBN-13: 9783319164885

ISBN-10: 3319164899

ISBN-13: 9783319164892

Offers a brand new and potent strategy for fixing indispensable equations with distinction kernels
Uses the consequences received to enquire a few theoretical and utilized problems
Presents strategies to a couple famous difficulties, specifically the M. Kac difficulties and a brand new type of the Levy-Ito equality
Studies a few crucial examples

This ebook specializes in fixing critical equations with distinction kernels on finite durations. The corresponding challenge at the semiaxis used to be formerly solved by means of N. Wiener–E. Hopf and via M.G. Krein. the matter on finite periods, notwithstanding considerably tougher, might be solved utilizing our approach to operator identities. this system is usually actively hired in inverse spectral difficulties, operator factorization and nonlinear imperative equations. purposes of the bought effects to optimum synthesis, mild scattering, diffraction, and hydrodynamics difficulties are mentioned during this e-book, which additionally describes how the speculation of operators with distinction kernels is utilized to sturdy techniques and used to unravel the recognized M. Kac difficulties on strong approaches. during this moment variation those effects are widely generalized and contain the case of all Levy approaches. We current the convolution expression for the well known Ito formulation of the generator operator, a convolution expression that has confirmed to be fruitful. moreover we now have extra a brand new bankruptcy on triangular illustration, that is heavily hooked up with prior effects and features a new vital category of operators with non-trivial invariant subspaces. a variety of formulations and proofs have now been greater, and the bibliography has been up-to-date to mirror more moderen additions to the physique of literature.

Related matters: essential Equations, Operator thought, chance conception and Stochastic procedures

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Download Transparency Masters for Mathematics Revealed by Elizabeth Berman PDF

By Elizabeth Berman

ISBN-10: 0120924560

ISBN-13: 9780120924561

Transparency Masters for arithmetic published makes a speciality of grasp diagrams that may be used for transparencies for an overhead projector or duplicator masters for worksheets.

The ebook deals info on a compilation of grasp diagrams ready through John R. Stafford, Jr., audiovisual manager on the collage of Missouri at Kansas urban. a number of the transparencies are designed to be proven horizontally. The preliminary 3 masters are quantity strains and grids that may be utilized in a arithmetic direction, whereas the others are diversifications of textual content figures that are somewhat altered in a few cases. The ebook then exhibits diagrams and illustrations of a room to be geared up with an air-conditioning unit, maneuvering board, pairs of comparable rectangles and triangles, diverse triangles and figures, surveying the peak of a construction, measuring of partitions, relations room, and church home windows.

The textual content bargains graphical representations of a regular and irregular electrocardiogram, tire strain as a functionality of tire temperature, scatter diagram of ring earnings, expenses and revenues of pens, wage, and arithmetic ranking as a functionality of anxiety.

The publication is a important reference for researchers drawn to the transparency masters for arithmetic.

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Download The Cult of Pythagoras: Math and Myths by Alberto A. Martinez PDF

By Alberto A. Martinez

ISBN-10: 0822962705

ISBN-13: 9780822962700

In this follow-up to his renowned Science secrets and techniques, Alberto A. Martínez discusses numerous well known myths from the background of arithmetic: that Pythagoras proved the hypotenuse theorem, that Archimedes discovered tips to try out the purity of a gold crown whereas he was once in a tub, that the Golden Ratio is in nature and old structure, that the younger Galois created crew idea the evening earlier than the pistol duel that killed him, and extra. a few tales are in part real, others are totally fake, yet all exhibit the facility of invention in historical past. Pythagoras emerges as an emblem of the urge to conjecture and “fill within the gaps” of heritage. He has been credited with primary discoveries in arithmetic and the sciences, but there's approximately no proof that he fairly contributed something to such fields in any respect. This e-book asks: how does historical past swap after we subtract the various small exaggerations and interpolations that writers have additional for over thousand years?

The Cult of Pythagoras can also be approximately invention in a favorable experience. most folk view mathematical breakthroughs as “discoveries” instead of invention or creativity, believing that arithmetic describes a realm of everlasting rules. yet mathematicians have disagreed approximately what's attainable and very unlikely, approximately what counts as an explanation, or even concerning the result of definite operations. was once there ever invention within the heritage of innovations similar to 0, unfavorable numbers, imaginary numbers, quaternions, infinity, and infinitesimals?

Martínez inspects a wealth of basic resources, in different languages, over a span of many centuries. by means of exploring disagreements and ambiguities within the background of the weather of arithmetic, The Cult of Pythagoras dispels myths that vague the particular origins of mathematical suggestions. Martínez argues that a correct heritage that analyzes myths unearths missed facets of arithmetic that may inspire creativity in scholars and mathematicians.

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Download Mean Field Theories and Dual Variation - Mathematical by Takashi Suzuki PDF

By Takashi Suzuki

ISBN-10: 946239153X

ISBN-13: 9789462391536

Suggest box approximation has been followed to explain macroscopic phenomena from microscopic overviews. it's nonetheless in development; fluid mechanics, gauge idea, plasma physics, quantum chemistry, mathematical oncology, non-equilibirum thermodynamics.  spite of this kind of wide selection of clinical parts which are all for the suggest box concept, a unified learn of its mathematical constitution has now not been mentioned explicitly within the open literature.  The advantage of this standpoint on nonlinear difficulties must have major influence on destiny learn, as can be noticeable from the underlying good points of self-assembly or bottom-up self-organization that is to be illustrated in a unified means. the purpose of this e-book is to formulate the variational and hierarchical features of the equations that come up within the suggest box idea from macroscopic profiles to microscopic ideas, from dynamics to equilibrium, and from organic versions to types that come up from chemistry and physics.

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