Academic Articles & Research Papers

A Novel MRAC Scheme for Output Tracking

This paper puts forward a novel output feedback model reference adaptive control (MRAC) scheme for solving an adaptive output tracking problem. The proposed control scheme only needs a scalar function to be updated online, which decreases t...

Self-Organized Criticality of Rainfall in Central China

Rainfall is a complexity dynamics process. In this paper, our objective is to find the evidence of self-organized criticality (SOC) for rain datasets in China by employing the theory and method of SOC. For this reason, we analyzed the long-...

Convergence rate of principal component analysis with local-linear smoother for functional data under a unified weighing scheme

The unified weighing scheme for the local-linear smoother in analysing functional data can deal with data that are dense, sparse or of neither type. In this paper, we focus on the convergence rate of functional principal component analysis ...

Power-aware scheduling of data-flow hardware circuits with symbolic control

We devise a tool-supported framework for achieving power-efficiency of data-flowhardware circuits. Our approach relies on formal control techniques, where the goal is to compute a strategy that can be used to drive a given model so that it ...

The „Fingerprint” of the American Management in the Powerful Dynamics Concerning the Real G.D.P. from the United States of America

The victorious spirit, which predominates in all the provinces of the United States of America, penetrates the scale of values in rise concerning the real G.D.P. The symbiosis of the progresses witnessed by the American nation along of th...

Retracted: A Novel Multicriteria Decision-Making Approach for Einstein Weighted Average Operator under Pythagorean Fuzzy Hypersoft Environment

Advancing Children's Mathematical Thinking in Everyday Mathematics Classrooms

Judith L. Fraivillig, Lauren A. Murphy, Karen C. Fuson, Advancing Children's Mathematical Thinking in Everyday Mathematics Classrooms, Journal for Research in Mathematics Education, Vol. 30, No. 2 (Mar., 1999), pp. 148-170...

Mathematics-for-Teaching: an Ongoing Investigation of the Mathematics that Teachers (Need to) Know

Introduction to Mathematical Statistics.

1. Probability and Distributions. 2. Multivariate Distributions. 3. Some Special Distributions. 4. Some Elementary Statistical Inferences 5. Consistency and Limiting Distributions 6. Maximum Likelihood Methods. 7. Sufficiency. 8. Optimal Te...

The Heart of Mathematics

(1980). The Heart of Mathematics. The American Mathematical Monthly: Vol. 87, No. 7, pp. 519-524....

Mathematics as a science of patterns

Mathematics as a Science of Patterns is the definitive exposition of a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has ...

Mathematical discussion and mathematical understanding

The causal ordering of mathematics anxiety and mathematics achievement: a longitudinal panel analysis

Using data from the Longitudinal Study of American Youth (LSAY), we aimed to determine the causal ordering between mathematics anxiety and mathematics achievement. Results of structural equation modelling showed that, across the entire juni...

Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being

This book is about mathematical ideas, about what mathematics means-and why. Abstract ideas, for the most part, arise via conceptual metaphor-metaphorical ideas projecting from the way we function in the everyday physical world. Where Mathe...

A Meta-Analysis of the Relationship between Anxiety toward Mathematics and Achievement in Mathematics

In this meta-analysis I examined 26 studies on the relationship between anxiety toward mathematics and achievement in mathematics among elementary and secondary students. The common population correlation for the relationship is significant...

The materiality of mathematics: Presenting mathematics at the blackboard

Sociology has been accused of neglecting the importance of material things in human life and the material aspects of social practices. Efforts to correct this have recently been made, with a growing concern to demonstrate the materiality of...

Mathematical Constants

This is an outstanding scholarly attempt to bring together all significant mathematical constants in one place....

The Mathematics of Infectious Diseases

Abstract. Many models for the spread of infectious diseases in populations have been analyzed mathematically and applied to specific diseases. Threshold theorems involving the basic reproduction number [Formula: see text], the contact numbe...

Linking Preservice Teachers' Mathematics Self‐Efficacy and Mathematics Teaching Efficacy to Their Mathematical Performance

This study examined preservice teachers' mathematics self‐efficacy and mathematics teaching efficacy and compared them to their mathematical performance. Participants included 89 early childhood preservice teachers at a Midwestern universit...

Mathematics of Physics and Chemistry