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Articles 1351 - 1380 of 27172
Full-Text Articles in Entire DC Network
Extended High-Frequency Hearing And Suprathreshold Neural Synchrony In The Auditory Brainstem, Jithin Raj Balan, Sri Mishra, Hansapani Rodrigo
Extended High-Frequency Hearing And Suprathreshold Neural Synchrony In The Auditory Brainstem, Jithin Raj Balan, Sri Mishra, Hansapani Rodrigo
School of Mathematical & Statistical Sciences Faculty Publications
Elevated hearing thresholds in the extended high frequencies (EHFs) (>8 kHz) are often associated with poorer speech-in-noise recognition despite a clinically normal audiogram. However, whether EHF hearing loss is associated with disruptions in neural processing within the auditory brainstem remains uncertain. The objective of the present study was to investigate whether elevated EHF thresholds influence neural processing at lower frequencies in individuals with normal audiograms. Auditory brainstem responses (ABRs) were recorded at a suprathreshold level (80 dB normal hearing level) from 45 participants with clinically normal hearing. The recording protocol was optimized to obtain robust wave I of the …
Analysis Of Systematic Trade-Offs Between Military And Healthcare Expenditure Alongside Gdp Growth Of Select Asian And Western Exporting Economies In The 21st Century, Rahul Balamurugan, Carlos Gershenson, Preethi Nanjundan, Hiroki Sayama
Analysis Of Systematic Trade-Offs Between Military And Healthcare Expenditure Alongside Gdp Growth Of Select Asian And Western Exporting Economies In The 21st Century, Rahul Balamurugan, Carlos Gershenson, Preethi Nanjundan, Hiroki Sayama
Northeast Journal of Complex Systems (NEJCS)
This study explores the complexity in the trade-offs between military expenditure, healthcare expenditure, and GDP growth across select Asian nations and major weapon-exporting countries, examining how nations allocate finite resources between national security and human well-being over the past two decades. Using a systems science approach, the research integrates Granger causality testing to analyze temporal and directional relationships among GDP growth, military expenditure, and healthcare expenditure, uncovering their dynamic interdependencies. The methodology includes trend and slope analysis, Granger causality testing, outlier detection, and clustering to identify heterogeneity in resource allocation strategies. Developed, weapon-exporting nations exhibit complementary trends, with strong causality …
From Machine Learning To Human Learning: What Can Pedagogy Learn From Ai Successes, Victor L. Timchenko, Yury P. Kondratenko, Olga Kosheleva, Vladik Kreinovich
From Machine Learning To Human Learning: What Can Pedagogy Learn From Ai Successes, Victor L. Timchenko, Yury P. Kondratenko, Olga Kosheleva, Vladik Kreinovich
Departmental Technical Reports (CS)
Many machine learning techniques -- including many techniques behind the current AI-based boom in machine learning -- come from the analysis of successful human learning strategies (and researchers expect that other human learning experiences can lead to even more effective AI-based systems). At this moment, so much experience have been accumulated in AI-based machine learning that it is time to start the analysis in the opposite direction -- to see what can human-based pedagogy learn from AI successes. In this chapter, we provide the first results of such an analysis -- some of which go somewhat against the current pedagogical …
Gurevich's Quizani Dialogs As An Example Of Explainable Mathematics, And How This Is Related To Quantum Space-Time Ideas That Can Speed Up Computations, Olga Kosheleva, Vladik Kreinovich
Gurevich's Quizani Dialogs As An Example Of Explainable Mathematics, And How This Is Related To Quantum Space-Time Ideas That Can Speed Up Computations, Olga Kosheleva, Vladik Kreinovich
Departmental Technical Reports (CS)
Everyone talks about the need for Explainable AI -- when, to supplement a long difficult-to-understand sequence of computational steps leading to AI's decision, we are looking for a shorter and understandable more-informal explanation for this decision. In this paper, we argue that this need is a particular case of what we call Explainable Mathematics -- when we want to supplement a long sequence of arguments and/or computations with a shorter and understandable more-informal explanation. Important instances of Explainable Mathematics are Yuri Gurevich's Quizani dialogs that help explain complex results from theoretical computer science and physicists' more-informal explanations of complex physical …
Unfortunately, The Universal Predictor Cannot Be Made Constructive, Julio C. Urenda, Olga Kosheleva, Vladik Kreinovich
Unfortunately, The Universal Predictor Cannot Be Made Constructive, Julio C. Urenda, Olga Kosheleva, Vladik Kreinovich
Departmental Technical Reports (CS)
A recent article in the Notices of the American Mathematical Society reminded the mathematics community that, under the Axiom of Choice, it is possible to have a universal predictor: if we input, into this predictor, the values of a function for all moments t < to for some to, then, for almost all to, this predictor correctly predicts the next values of this function on some interval [to, to + ε). This predictor cannot be used for actual predictions: it is based on the Axiom of Choice and is, therefore, not constructive. A natural question is: maybe it is possible to have another universal predictor, which is constructive? In this paper we show that, unfortunately, it is not possible to have a constructive universal predictor. In other words, the above universal predictor result cannot be used for actual predictions.
Discrete Math For Computer Science - Chapter 8: Union And Intersection And Complement: Set Identities, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 8: Union And Intersection And Complement: Set Identities, Houman Kamran Habibkhani
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Discrete Math For Computer Science - Chapter 15: Mathematical Induction, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 15: Mathematical Induction, Houman Kamran Habibkhani
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Discrete Math For Computer Science - Chapter 13: Sequences: Recurrence Relations, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 13: Sequences: Recurrence Relations, Houman Kamran Habibkhani
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Discrete Math For Computer Science - Chapter 26: Introduction To Graphs: Graph Representations, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 26: Introduction To Graphs: Graph Representations, Houman Kamran Habibkhani
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Discrete Math For Computer Science - Chapter 2: Logical Equivalence: Laws Of Propositional Logic, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 2: Logical Equivalence: Laws Of Propositional Logic, Houman Kamran Habibkhani
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Discrete Math For Computer Science - Chapter 11: Inverse Of A Function: Composition Of Functions, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 11: Inverse Of A Function: Composition Of Functions, Houman Kamran Habibkhani
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Discrete Math For Computer Science - Chapter 16: Recursive Definitions: Recursive Algorithms, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 16: Recursive Definitions: Recursive Algorithms, Houman Kamran Habibkhani
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Discrete Math For Computer Science, Houman Kamran Habibkhani
Discrete Math For Computer Science, Houman Kamran Habibkhani
Pacific Open Texts
Discrete Mathematics and its Applications is a focused introduction to the primary themes in a discrete mathematics course, as introduced through extensive applications, expansive discussion, and detailed exercise sets. These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students.
Discrete Math For Computer Science - Chapter 4: Logical Reasoning: Rules Of Inference, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 4: Logical Reasoning: Rules Of Inference, Houman Kamran Habibkhani
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The Mathematical Experience Museum: Breathing Life Into Theorems And Formulas, Jin Akiyama, Jude Buot, Mark Anthony C. Tolentino
The Mathematical Experience Museum: Breathing Life Into Theorems And Formulas, Jin Akiyama, Jude Buot, Mark Anthony C. Tolentino
Mathematics Faculty Publications
No abstract provided.
Discrete Math For Computer Science - Chapter 14: Summations, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 14: Summations, Houman Kamran Habibkhani
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Discrete Math For Computer Science - Chapter 19: Number Representation, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 19: Number Representation, Houman Kamran Habibkhani
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Discrete Math For Computer Science - Chapter 27: Paths And Cycles: Graph Connectivity, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 27: Paths And Cycles: Graph Connectivity, Houman Kamran Habibkhani
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Discrete Math For Computer Science - Chapter 28: Introduction To Trees: Properties Of Trees, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 28: Introduction To Trees: Properties Of Trees, Houman Kamran Habibkhani
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Discrete Math For Computer Science - Chapter 29: Tree Traversals: Spanning Trees, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 29: Tree Traversals: Spanning Trees, Houman Kamran Habibkhani
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(Si14-12) Some Novel Fractional Discrete Inequalities Of Gronwall-Bellman Type And Their Applications To Fractional Difference Equations, Subhash Kendre, Nagesh Kale, Dimplekumar Chalishajar
(Si14-12) Some Novel Fractional Discrete Inequalities Of Gronwall-Bellman Type And Their Applications To Fractional Difference Equations, Subhash Kendre, Nagesh Kale, Dimplekumar Chalishajar
Applications and Applied Mathematics: An International Journal (AAM)
In this study, we develop multiple power nonlinear generalizations of Gronwall-Bellman type fractional discrete inequalities and fractional sum inequalities through combining functions with powered unknown functions.We have employed technique of reducing power non-linearity into linearity to furnish these refinements. These novel findings present a broader framework for dealing with wider range of nonlinear fractional difference equations and fractional sum-difference equations. The utilization of these inequalities enables to study certain crucial classes of fractional difference equations that arise in the realm of fractional difference calculus, both quantitatively and qualitatively. Several illustrations are provided to examine the boundedness of initial value problems …
Best Strategies For Bilingual Education: How Can We Explain Their Success?, Claudia Cabrera, Olga Kosheleva, Christian Servin, Vladik Kreinovich
Best Strategies For Bilingual Education: How Can We Explain Their Success?, Claudia Cabrera, Olga Kosheleva, Christian Servin, Vladik Kreinovich
Departmental Technical Reports (CS)
When designing AI-based tools for education, it is important to take into account the experience of human teachers. In this, it is necessary to distinguish between the education features that are justified by the general features of the corresponding education task -- these features should be taken into account in AI-based learning as well -- and features which are specific for traditional non-AI teaching. In this paper, on the important example of bilingual education, we show that several empirically successful teaching strategies can be explained in the general context -- and thus, should be implemented in AI-based teaching as well.
Discrete Math For Computer Science - Chapter 3: Predicates And Quantifiers: Quantified Statements, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 3: Predicates And Quantifiers: Quantified Statements, Houman Kamran Habibkhani
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Discrete Math For Computer Science - Chapter 1: Proposition, Logical Operations, And Conditional Statements, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 1: Proposition, Logical Operations, And Conditional Statements, Houman Kamran Habibkhani
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Discrete Math For Computer Science - Chapter 22: Counting By Complement: Permutations With Repetitions: Inclusion/Exclusion Principle, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 22: Counting By Complement: Permutations With Repetitions: Inclusion/Exclusion Principle, Houman Kamran Habibkhani
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Discrete Math For Computer Science - Chapter 20: Sum And Product Rules, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 20: Sum And Product Rules, Houman Kamran Habibkhani
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Discrete Math For Computer Science - Chapter 25: Conditional Probability And Independence, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 25: Conditional Probability And Independence, Houman Kamran Habibkhani
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Discrete Math For Computer Science - Chapter 24: Unions And Complements Of Events, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 24: Unions And Complements Of Events, Houman Kamran Habibkhani
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Discrete Math For Computer Science - Chapter 17: The Division Algorithm: Modular Arithmetic, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 17: The Division Algorithm: Modular Arithmetic, Houman Kamran Habibkhani
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Discrete Math For Computer Science - Chapter 23: Probability Of An Event, Houman Kamran Habibkhani
Discrete Math For Computer Science - Chapter 23: Probability Of An Event, Houman Kamran Habibkhani
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