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.
Results
Showing 1 to 20 of 31 for “"Mathematical Objects"”.
-
Avicenna's Philosophy of Mathematics
… mathematics, which concerns the question of what mathematical objects (i.e., numbers and geometrical shapes) are not. Avicenna argues that mathematical objects are not independent immaterial substances. They cannot be fully separated from matter. He rejects what is now called mathematical …
-
Η ΠΟΣΟΔΕΙΞΗ ΣΤΟΝ ΕΛΛΗΝΙΚΟ ΜΑΘΗΜΑΤΙΚΟ ΛΟΓΟ
… APPEARS IN THE FIRST EXPRESSIONS OF MATHEMATICAL LANGUAGES IN THE FIRST ANNUNCIATIONS OF THEOREMS. IN THIS PERIOD THE FIRST VARIABLES APPEAR AS THE ICONS OF THE MATHEMATICAL OBJECTS. IN THE BEGINNING OF THE MATHEMATICAL LANGUAGE, (HIPPOKRATES), THE LETTERS OF THE GREEK ALPHABET WERE …
-
Differential Geometry in Computational Electromagnetics
… in a discrete setting. The goal is to take each mathematical objects that is necessary in order to write down the classical electromagnetic theory and develop a corresponding discrete analog. The theory builds upon standard concepts in algebraic topology and is motivated by recent progress in …
-
Model theory of partially random structures
Many interactions between mathematical objects, e.g. the interaction between the set of primes and the additive structure of N, can be usefully thought of as random modulo some obvious obstructions. In the first part of this thesis, we document several such situations, show that the randomness in …
-
An evaluation of an alternative organization for curriculum emphasizing the interconnectedness of mathematics
… students to formulate connections among key mathematical ideas. As well, the study addresses the problem of students' errors in selecting appropriate strategies to complete a given algebraic task. Authorities such as Fey, Barbeau, Cooney, McKnight, and Manhard believe that a traditional …
-
Magpy: A Python Package for Magmas
… syntax, a lack of comprehensiveness for mathematical structures, or some combination of these. Computer algebra systems are indispensable tools due to their capacity for creating mathematical objects and performing computations on them. However, there is a lack of computational resources …
-
Intertheoretic Reference in Mathematics
"Some mathematical terms are commonly taken by mathematicians, historians of mathematics, and ordinary speakers to co-refer with other mathematical terms even when each is embedded in a theory which predicates distinct properties of said referents. In this dissertation a picture of reference for …
-
A study of Grade 8 and 9 learner thinking about linear equations, from a commognitive perspective
… with algebra and their inadequate access to mathematical properties as a problem-solving resource. This small-scale qualitative study focuses on how, in an interview, fifteen Grade 8 and 9 learners at two South African schools think about linear equations. Sfard's theory of commognition, and …
-
Conformal loop ensembles and the Gaussian free field
… to the analysis of various conformally invariant mathematical objects, such as the Gaussian free field, the Schramm-Loewner evolution, and the conformal loop ensemble. Just as Brownian motion is a scaling limit of discrete random walks, these objects serve as universal scaling limits of functions …
-
Mathematical warrants, objects and actions in higher school mathematics
… crucially on classroom issues or accounts of mathematical experience both to elucidate meaning and for the domain of application. These three propositions, with their arguments, are the three sub-theses at the centre of the thesis as a whole. The first of these sub-theses (1) argues that …
-
The Problem of Separation (χωρισμός) and Participation (μέθεξις) in Plato’s Late Dialogues (Parmenides, Sophist, Timaeus) /
… and the problem of the ontological status of mathematical objects, as well as to Plato’s dialogue Parmenides as the locus of a more thorough explication of the concepts in question. The dissertation then provides a thorough study of the Parmenides, showing that the problem of separation and …
-
Learning and Control of Network Phenomena
… are typically represented via graphs, which are mathematical objects that encode the information of both the entities and relationships within a network. These graphs in turn can be represented by graph matrices, which encode the relationships between entities in the network. The specific …
-
A Classification Approach for Automated Reasoning Systems--A Case Study in Graph Theory
… which create classifications of structured objects face the problem of how object descriptions can be used to reflect their components as well as relations among these components. Current reasoning systems on graph theory do not adequately provide models to discover complex relations among …
-
Higher Derivative Corrections to the Low-Energy E ective Action of Type IIA/B String Theory and M-theory
… forms. These automorphic forms are complex mathematical objects that encode all the perturbative and non-perturbative features of type II string theory and M-theory compactied on an torus to d dimensions. We investigate the structure of the higher derivative terms and their associated …
-
Physically Interacting With Four Dimensions
… fourth dimension. While making pictures of 4D objects by projecting them to 3D can help reveal basic geometric features, 3D graphics images by themselves are of limited value. For example, just as 2D shadows of 3D curves may have lines crossing one another in the shadow, 3D graphics projections …
-
Carnap and the Ontology of Mathematics
… manage to know about and interact with abstract objects. Carnap's position, in contrast, is deflationary: he aims to show that we can take mathematics at face value without having to answer questions about the metaphysical status of mathematical objects. If Carnap is right, there is thus no need …
-
Understanding dark matter halos with tidal caustics
… and their relation to a well-studied class of mathematical objects motivates us to name them "tidal caustics". We study the densities achievable in tidal caustics for a typical merger of this type using an example from the Andromeda galaxy to determine whether they are sufficient to produce a …
-
Two-parameter noncommutative Gaussian processes
… as random matrices or random graphs. The modern mathematical theory of free probability is increasingly giving rise to analysis tools specifically adapted to such large-dimensional regimes and, more generally, non-commutative probability is emerging as an area of interdisciplinary interest. This …
-
Neural Word Representations for Biomedical NLP
Word representations are mathematical objects which capture the semantic and syntactic properties of words in a way that is interpretable by machines. Recently, the encoding of word properties into a low-dimensional vector space using neural networks has become popular. Neural representations are …
-
Retrieval of research-level mathematics via joint modelling of text and types
Recent work in Mathematical Information Retrieval (MIR) emphasises the retrieval of sym- bolic formulae but ignores their interactions with the text. However, mathematicians think and communicate ideas that take the form of mathematical objects and structures using both modalities. An important …
Page 1 of 2