Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 26 for “"Fundamental theorem"”.
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Implementation and application of the fundamental theorem of probability
… of the computational approach implicit to the Fundamental Theorem of Probability as stated by De Finetti and extended by Lad, Dickey and Rahman. Enhancements to the original algorithm are presented and several applications of the algorithm to real-world systems including fault trees and belief …
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Reasoning with incomplete probabilistic knowledge : the RIP algorithm for de Finetti's fundamental theorem of probability
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Brain and Cognitive Sciences, 1995.
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Le théorème fondamental comme pierre de touche de l'enseignement et de l'apprentissage de l'analyse au secondaire
… an answer to several questions of learning the fundamental theorem of the analysis and shows that what prevents to understand it is significant of dysfunctions of the teaching of the analysis at the secondary level in French-speaking Belgium.
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On Proofs of Sylow's Theorem
We give five proofs of Sylow's Theorem. The proofs given will be Sylow's original proof, the Cauchy-Frobenius proof using double cosets, Frobenius' proof (two versions) using the class equation, and Wielandt's proof using subsets. We give a number of different examples to illustrate the various …
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Autonomous Pseudomonoids
… results in Hopf algebra theory: the so-called "fundamental theorem of Hopf modules", the "Drinfel'd quantum double" and its relation with the centre of monoidal categories, and " Radford's formula". The basic result of this work is a general fundamental theorem of Hopf modules that establishes …
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A Survey of Galois Theory
… utilized in Algebra. We state and prove the Fundamental Theorem of Galois theory and then work a few examples to show its application to the determination of lattices of groups and fields. In Chapter 2, we prove the theorem which shows the connections between solvability of polynomials and …
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Computational Algebraic Geometry Applied to Invariant Theory
… from a modern standpoint. The Hilbert Basis Theorem and the Nullstellenstatz were considered lemmas for classical invariant theory. The Groebner basis is a modern tool used and is implemented with the computer algebra system Mathematica. Number 14 of Hilbert\'s 23 problems is discussed along …
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Topics in categorical algebra and Galois theory
… Galois theory, which yields an analogue for the fundamental theorem of Galois theory in an abstract category by making use of the notions of admissibility and effective descent. We show that the admissibility of a functor can be extended to the admissibility of the canonically induced functor on …
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An Introduction to the Lebesgue Integral
… and the Lebesgue integral. Examples as well as theorems and proofs will be presented in this paper. In addition, this paper will present some details about the Fundamental Theorem of Calculus for Lebesgue integral.</p>
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Construction of a Non-Standard Integral on AC [0, 1]
… and proof of the Riesz Representation Theorem. After this a new function space and a new norm are presented. A dense subset is extracted and used to approximate the functions in the new space. These approximations are used to define a nonstandard integral and an accompanying integral …
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Construction of a non-standard integral on AC [0, 1]
… and proof of the Riesz Representation Theorem. After this a new function space and a new norm are presented. A dense subset is extracted and used to approximate the functions in the new space. These approximations are used to define a nonstandard integral and an accompanying integral …
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A contribution to the foundations of the theory of Quasifibration
… of our two main goals is to prove a result, Theorem 5.1, which generalizes the fundamental theorem (DT; Satz 2.2] by Dold and Thom on globalization of quasifibrations. Secondly we show that by means of adjunction or clutching constructions, this theorem enables us to retrieve the famous …
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The process of integration and the concept of integral: How does success with applications and comprehension of underlying notions such as accumulation relate to students' mathematical fluency
… course, the student is expected to learn the Fundamental Theorem of Calculus, and to be able to use the integral to produce new functions, or numbers which, they are told, represent the "area under the curve". At the beginning of the standard second calculus course, students are expected to …
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Physics experiences and calculus: How students use physics to construct meaningful conceptualizations of calculus concepts in an interdisciplinary calculus /physics course
… rate of change, derivative, integral, and the Fundamental Theorem of Calculus were developed and pilot-tested by the researcher. To further corroborate the information gathered through the interview tasks, the students' examination, homework assignments, and in-class activities were reviewed. A …
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Optimal Trading Strategies Under Arbitrage
… only It^o processes. We then prove the Second Fundamental Theorem of Asset Pricing for these markets: A market is complete, meaning that any bounded contingent claim is replicable, if and only if the stochastic discount factor is unique. Conditions under which a contingent claim can be …
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Matrix Factorizations With More Than Two Factors
… primary motivation for Chapter 4 is a theorem due to Kn\"orrer which states that the category of $2$-fold matrix factorizations of $f$ has finite representation type if and only if the same is true of $f+z^2 \in S[[ z ]]$, where $z$ is an indeterminate. We consider an analogue of this …
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