Physical Sciences and Mathematics Commons^™

On The Convergence Theorems Of The Mcshane Integral For Riesz-Spaces-Valued Functions Defined On Real Line, Muslim Ansori, Yosephus D. Sumanto, Novi Rustiana Dewi

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

This paper is a partial result of our researchs in the main topic "On The McShane Integral for Riesz-Spaces-valued Functions Defined on the space ". We have constructed McShane integral for Riesz-spaces-valued functions defined on the space by a technique involving double sequences and proved some basic properties which coincides with the McShane Integral for Banach-spaces valued functions defined on real line. Further, we construct some convergence theorems involving uniformly convergence theorems, monotone convergence theorems and Fatou's lemma in the sense of this integral.
Keywords : Riesz Space, McShane Integral

Inversi Dan Titik-Titik Harmonis, Himmawati Puji, Caturiyati Caturiyati

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Given a circle centre O and radius r in , the inversion in this circle is the mapping defined by , where lies on the straight line through O and A, and on the same side of O as A, and . It will be investigated the property of inversion related to four harmonic points. The result is that the cross-ratio of any four coplanar points A, B, C, D is invariant under inversion. Hence, the inversion preserves the four harmonic points.
Keywords : inversion, cross ratio, four harmonic points.

Masalah Norm Minimum Pada Ruang Hilbert Dan Aplikasinya, Karyati Karyati, Dhoriva Urwatul Wutsqa

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

In this paper, will be discussed about the minimum norm in the pre- Hilbert Space, Hilbert space and its modification, and its application. The results are: Let X be a pre-Hilbert space and M is a sub space of X. If an element is fixed, then : . If there is such that , then is unique. Let H be a Hilbert space and M be a closed sub space of H . If , then there is a unique element such that , . Let X be a Hilbert space , M be a closed sub space of X …

Pendugaan Parameter Regresi Logistik Dengan Jaringan Syaraf Tiruan, Anik Djuraidah

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Logistic regression can be mapped equivalent to artificial neural network (ANN) without hidden layer with logistic as activation function, hence logistic regression is subset of ANN. The result study on binary and poly-chotomous response data show that parameter estimation values of ANN and logistic regression are similar. In comparison with ANN, logistic regression has standard procedure for estimation and testing parameter.
Keyword : logistic regression, generalized linear model, artificial neural network, activation function, hidden layer

Menghitung Nilai Probabilitas Pada Distribusi Normal Multivariate, Jaka Nugraha

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Menghitung nilai probabilitas variabel random yang mempunyai distribusi multivariat normal, merupakan salah satu kendala dalam model probit. Persamaan probabilitas dalam model probit tidak berbentuk persamaan tertutup dan harus diselesaikan secara numerik maupun simulasi. Metode Gezn merupakan metode yang paling efektif untuk menghitung nilai probabilitas normal multivariat. Metode ini banyak diimplementasikan dalam beberapa "package" pada program R. Metode ini juga telah diimplementasikan dalam model multinomial probit yang populer disebut dengan simulator Geweke-Hajivassiliou-Keane (GHK).
Kata kunci : model multinomial probit, faktor Cholesky, random utiliti, deret Taylor

Review Of The Triumph Of Numbers By I. B. Cohen, H L. Vacher

Numeracy

I. Bernard Cohen, The Triumph of Numbers: How Counting Shaped Modern Life. (New York: W.W. Norton & Company, 2005). 209 pp. $24.95 (USA). ISBN 0-393-05769-0.

The premier historian of science ends his career telling how the world has become awash in numbers—“how numbers entered the conduct of life and of government, the understanding of nature, and the analysis of societies.” The stories begin with Kepler and end with Florence Nightingale. In between, major players include Galileo, Harvey, Leeuwenhoek, and Halley; Graunt and Petty; Jefferson and Franklin; Lavoisier, Sinclair, Pinel and Louis; Guerry and Quetelet. The book tells of the spread …

Birds–Dead And Deadly: Why Numeracy Needs To Address Social Construction, Joel Best

Numeracy

Sociologists use the term social construction to refer to the processes by which people assign meaning to their world. This paper argues that numeracy education needs to address social construction. In particular, thinking critically about the statistics the news media report regarding social issues requires understanding the competitive nature of the social problems marketplace, and the social forces that allow questionable numbers to receive widespread public attention. Such critiques must incorporate more than assessing how the numbers were calculated; they must consider the social construction of particular statistics. Two recent examples—claims about the number of birds killed flying into windows, …

Development Of Case Stories By Interviewing Students About Their Critical Moments In Science, Math, And Engineering Classes, Vicki V. May, Thomas H. Luxon, Kathy Weaver, Rachel Esselstein, Cynthia Char

Numeracy

Dartmouth’s Critical Moments project is designed to promote discussions among faculty and graduate students about the retention of students, particularly women and minorities, in science, math, and engineering (SME) disciplines. The first phase of the ongoing project has been the development of four case stories, which are fictionalized composites drawn from surveys and interviews of real Dartmouth students. The surveyed population was 125 students in general chemistry. Of the 77 who agreed to be interviewed, 61 reported having experienced a critical moment – i.e., a positive or negative event or time that had a significant impact on the student’s academic …

Teachers Talk: Pressure Points In The K-8 Mathematics Curriculum, Kim Rheinlander, Dorothy Wallace, Wells Morrison, Daniel Ansari, Donna Coch, B. Venus Williams

Numeracy

Forty K-8 teachers participated in small, in-depth, facilitated discussions about "pressure points" in the curriculum. We define a pressure point as a topic, skill, or concept that is crucial to future mathematics learning but which many or most students do not master to the extent expected at a given grade level. They are issues that persist from one grade level to the next; eventually they impair the ability of students to succeed in technical disciplines. The teachers identified a number of pressure points; we focus on an understanding of place value and "reasonableness" of answer as two examples that were …

Scientifically Based Research In Quantitative Literacy: Guidelines For Building A Knowledge Base, Richard L. Scheaffer

Numeracy

Research in quantitative literacy (QL) is in its infancy, so now is the time to begin a regimen for healthy growth into adulthood. As a new discipline still defining itself, QL has the opportunity to build a sound infrastructure for accumulating a solid body of interconnected research that will serve the discipline well in years to come. To that end, much can be learned from recent studies of the weaknesses of mathematics education research and recommendations on how to overcome them. Mathematics education lacks a strong research foundation, one that is scientific, cumulative, interconnected, and intertwined with teaching practice. These …

Evolution Of Numeracy And The National Numeracy Network, Bernard L. Madison, Lynn Arthur Steen

Numeracy

The National Numeracy Network grew from heightened awareness of the complex and sophisticated nature of quantitative literacy and the resulting need for interdisciplinary attention to education for quantitative literacy in schools and colleges. This complexity and sophistication applies especially to the US where it is fueled by an agile economy and the needs of a democratic society. This paper describes the environment surrounding the National Numeracy Network’s establishment, some of its activities, and some complementary and synergistic actions by other professional societies. The paper concludes with a sample of quantitative literacy programs in colleges and universities

The Scope Of Numeracy, H L. Vacher, Dorothy Wallace

Numeracy

No abstract provided.

Portfolio Optimization With Consumption In A Fractional Black-Scholes Market, Yalçin Sarol, Frederi G Viens, Tao Zhang

Communications on Stochastic Analysis

No abstract provided.

Local Theorems Related To Lévy-Type Branching Mechanism, Vladimir Vinogradov

Communications on Stochastic Analysis

No abstract provided.

Markov Semigroups And Estimating Functions, With Applications To Some Financial Models, Jerome A Goldstein, Rosa Maria Mininni, Silvia Romanelli

Communications on Stochastic Analysis

No abstract provided.

Functional Limit Theorems For Trace Processes In A Dyson Brownian Motion, Victor Pérez-Abreu, Constantin Tudor

Communications on Stochastic Analysis

No abstract provided.

A Random Change Of Variables And Applications To The Stochastic Porous Medium Equation With Multiplicative Time Noise, S V Lototsky

Communications on Stochastic Analysis

No abstract provided.

Almost Any State Of Any Amplitude Markov Chain Is Recurrent, Luigi Accardi, Hiromichi Ohno

Communications on Stochastic Analysis

No abstract provided.

The Characterization Of A Class Of Probability Measures By Multiplicative Renormalization, Izumi Kubo, Hui-Hsiung Kuo, Suat Namli

Communications on Stochastic Analysis

No abstract provided.

Existence And Uniqueness Of Solutions To The Backward Stochastic Lorenz System, P Sundar, Hong Yin

Communications on Stochastic Analysis

No abstract provided.

Schrödinger Type Equation Associated With The Lévy And Volterra Laplacians, Kazuyoshi Sakabe

Communications on Stochastic Analysis

No abstract provided.

Bidimensional Pr Qmf With Fir Filters, Jian-Ao Lian

Applications and Applied Mathematics: An International Journal (AAM)

Multidimensional perfect reconstruction (PR) quadrature mirror filter (QMF) banks with finite impulse response (FIR) filters induced from systems of biorthogonal multivariate scaling functions and wavelets are investigated. In particular, bivariate scaling functions and wavelets with dilation as an expansive integer matrix whose determinant is two in absolute value are considered. Demonstrative quincunxial examples are explicitly given and new FIR filters are constructed.

A New Family Of Pr Two Channel Filter Banks, Jian-Ao Lian

Applications and Applied Mathematics: An International Journal (AAM)

A new family of multidimensional dimensional (MD) perfect reconstruction (PR) two channel filter banks with finite impulse response (FIR) filters induced from systems of biorthogonal MD scaling functions and wavelets are introduced. One of the advantages of this construction is that the biorthogonal scaling functions and wavelets are easy to establish due to the interpolatory property of the scaling functions to start with. The other advantage is that all filters can be centrosymmetric or bi-linear phase. Examples of two dimensional (2D) bi-linear phase PR twochannel FIR filter banks will be demonstrated.

Parameter Estimation For Ornstein-Uhlenbeck Processes Driven By Α-Stable Lévy Motions, Yaozhong Hu, Hongwei Long

Communications on Stochastic Analysis

No abstract provided.

Generators Of Dynamical Systems On Hilbert Modules, Gholamreza Abbaspour Tabadkan, Michael Skeide

Communications on Stochastic Analysis

No abstract provided.

Space Regularity Of Stochastic Heat Equations Driven By Irregular Gaussian Processes, Oana Mocioalca, Frederi Viens

Communications on Stochastic Analysis

No abstract provided.

Quantum Stochastic Process Associated With Quantum Lévy Laplacian, Un Cig Ji, Habib Ouerdiane, Kimiaki Saitô

Communications on Stochastic Analysis

No abstract provided.

Markov Semigroups And Groups Of Operators, Jerome A Goldstein, Rosa Maria Mininni, Silvia Romanelli

Communications on Stochastic Analysis

No abstract provided.

Convex Comparison Inequalities For Exponential Jump-Diffusion Processes, Jean-Christophe Breton, Nicolas Privault

Communications on Stochastic Analysis

No abstract provided.

Martingale Representation For Contingent Claims With Regime Switching, Robert J Elliott, Tak Kuen Siu, Hailiang Yang

Communications on Stochastic Analysis

No abstract provided.