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Showing 1 to 20 of 746 for “"arithmetic"”.
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Modelling arithmetic strategies
This thesis examines children's arithmetic strategies and their relation to the concepts of commutativity and associativity. Two complementary methods were used in this research: empirical studies and computational models.<br></br><br></br>Empirical studies were carried out to identify the …
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Transfinite Ordinal Arithmetic
… the late 19th century to more current times, an arithmetic of finite and transfinite ordinal numbers is outlined. The concept of a set is outlined and directed to the understanding that an ordinal, a special kind of number, is a particular kind of well-ordered set. From this, the idea of counting …
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Arithmetic and dynamical systems
In this thesis we look at a number of topics in the area of the interaction between dynamical systems and number theory. We look at two diophantine approximation problems in local �fields of positive characteristic, one a generalisation of the Khintchine{Groshev theorem, another a central limit …
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Arithmetic data value speculation.
Arithmetic approximation is used to decrease the latency of an arithmetic circuit by shortening the critical path delay or the sampling period so that result is not guaranteed to be correct for every input combination.Thus, an acceptable compromise between the circuit latency and the average …
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Topics in arithmetic combinatorics
This thesis is chiefly concerned with a classical conjecture of Littlewood's regarding the L^1-norm of the Fourier transform, and the closely related idempotent theorem. The vast majority of the results regarding these problems are, in some sense, qualitative or at the very least infinitary and it …
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A reconfigurable arithmetic processor
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1989.
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Arithmetic statistics of algebraic groups
This thesis investigates various problems in the arithmetic statistics of algebraic groups, focusing on the distribution and properties of algebraic groups of number-theoretic interest. New results obtained throughout this thesis are unified by the development and application of methods, primarily …
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Modest Automorphisms of Presburger Arithmetic
… some such expansions of models of Presburger arithmetic. Building on some of the work of Harnik (1986) and Llewellyn-Jones (2001), in Chapter 2 we use a back-and-forth construction to obtain two automorphisms of sufficiently saturated models of Presburger arithmetic. These constructions are …
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Individual Instruction: Third Grade Arithmetic
… taken of those most usable for individualizing arithmetic instruction. Those of value for use in a third grade room are dealt with in detail.
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Arithmetic statistics and Vinberg representations
In this thesis, we obtain results in arithmetic statistics through Vinberg representations. Very often, the rational and integral orbits of Vinberg representations encode information about certain arithmetic objects of interest. In view of that, we can use Bhargava's techniques in …
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A Limited Connection Arithmetic Unit
Made available in DSpace on 2014-12-10T19:06:34Z (GMT). No. of bitstreams: 1 7105205.pdf: 4827259 bytes, checksum: 2e4b7663d2949a8f6e2a53f2b419ca4b (MD5) Previous issue date: 1970
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Distribution of some arithmetic sequences
… thesis, we first study the correlations of some arithmetic sequences. We prove the existence of the limiting pair correlations of fractions with prime and power denominators, and give the explicit pair correlation density functions. Next, we study the higher level correlations of these fractions, …
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Two topics in arithmetic combinatorics
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2023-09-01 without embargo terms
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Arithmetic regularity lemmas and applications
This thesis investigates various aspects of arithmetic regularity lemmas in the context of vector spaces over finite fields of prime characteristic. Chapter 1 obtains a generalisation of the induced arithmetic removal lemma of Bhattacharyya, Fischer, and Lovett [6] for translation-invariant …
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Arithmetic Differential Subgroups of GL_{n}
… Galois Theory appears from the study of the arithmetic analogue of ordinary differential equations; where functions are replaced by integers, the derivative operator replaced by the Fermat quotient operator' and differential equations are replaced by arithmetic differential equations. The …
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Some conditional results involving arithmetic functions
… conditional estimates on twisted sums of certain arithmetic functions such as generalized von Mangoldt and Mobius functions under the Riemann hypothesis, and we also present a strong converse. Second, we investigate a discrete negative moment of the zeta function, obtaining a lower bound that …
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Effective integrality results in arithmetic dynamics
Given a rational function f defined over a number field K, S. Ih conjectured the finiteness of f-preperiodic points which are S-integral relative to a given non-preperiodic point β. This conjecture remains open, but certain special cases have been proved. We formulate a generalisation of Ih's …
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Team learning in third grade arithmetic
Thesis (Ed.M.)--Boston University
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