Rate Of Change 2,
2016
Illinois Mathematics and Science Academy
Limits5,
2016
Illinois Mathematics and Science Academy
Limits2,
2016
Illinois Mathematics and Science Academy
Limits2, Ruth Dover
Limits
More on limits, both algebraic and graphical, including one-sided limits.
3. Derivatives Of Exponential Functions,
2016
Illinois Mathematics and Science Academy
3. Derivatives Of Exponential Functions, Ruth Dover
More on Derivatives
Exploring the derivative of exponential functions.
Multiple Problem-Solving Strategies Provide Insight Into Students’ Understanding Of Open-Ended Linear Programming Problems,
2016
CUNY Guttman Community College
Multiple Problem-Solving Strategies Provide Insight Into Students’ Understanding Of Open-Ended Linear Programming Problems, Marla A. Sole
Publications and Research
Open-ended questions that can be solved using different strategies help students learn and integrate content, and provide teachers with greater insights into students’ unique capabilities and levels of understanding. This article provides a problem that was modified to allow for multiple approaches. Students tended to employ high-powered, complex, familiar solution strategies rather than simpler, more intuitive strategies, which suggests that students might need more experience working with informal solution methods. During the semester, by incorporating open-ended questions, I gained valuable feedback, was able to better model real-world problems, challenge students with different abilities, and strengthen students’ problem solving skills.
Photo Of Euler Semimagic Square With Exercises.,
2016
Butler University
Photo Of Euler Semimagic Square With Exercises., Jeremiah Farrell
Scholarship and Professional Work - LAS
A submission to the Gardner Birthday Celebration on the occasion of his 102nd birthday in October 2016.
A Special Tribute To Martin Gardner,
2016
Butler University
A Special Tribute To Martin Gardner, Jeremiah Farrell
Scholarship and Professional Work - LAS
There are exactly 12 different letters in the phrase GATHERING FOR MARTIN GARDNER. We use each of the 12 letters three times each in 18 different two-letter words that are to be placed on the nodes of the graph so adjoining nodes have a letter in common.
You Like Japan,
2016
Butler University
You Like Japan, Jeremiah Farrell, Kate Jones
Scholarship and Professional Work - LAS
Jeremiah's puzzle "You Like Japan", which was exchanged at the 2016 International Puzzle Party in Kyoto, Japan, alongside Kate Jone's "You Like Japan" 12x12 Challenge. 100 puzzle designers create 100 copies of their puzzle and pass it out at the party and exchange them. This puzzle is manufacured by Kadon Enterprises, Inc. as "You Like Japan".
Limits4,
2016
Illinois Mathematics and Science Academy
Approximations 4,
2016
Illinois Mathematics and Science Academy
The Automorphism Group Of The Halved Cube,
2016
Virginia Commonwealth University
The Automorphism Group Of The Halved Cube, Benjamin B. Mackinnon
Theses and Dissertations
An n-dimensional halved cube is a graph whose vertices are the binary strings of length n, where two vertices are adjacent if and only if they differ in exactly two positions. It can be regarded as the graph whose vertex set is one partite set of the n-dimensional hypercube, with an edge joining vertices at hamming distance two. In this thesis we compute the automorphism groups of the halved cubes by embedding them in R n and realizing the automorphism group as a subgroup of GLn(R). As an application we show that a halved cube is a circulant graph if …
Interval-Valued Neutrosophic Oversets, Neutrosophic Undersets, And Neutrosophic Offsets,
2016
University of New Mexico
Interval-Valued Neutrosophic Oversets, Neutrosophic Undersets, And Neutrosophic Offsets, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
We have proposed since 1995 the existence of degrees of membership of an element with respect to a neutrosophic set to also be partially or totally above 1 (over-membership), and partially or totally below 0 (under-membership) in order to better describe our world problems [published in 2007].
Multi-Type Display Calculus For Dynamic Epistemic Logic,
2016
Aix-Marseille Université
Multi-Type Display Calculus For Dynamic Epistemic Logic, Sabine Frittella, Giuseppe Greco, Alexander Kurz, Alessandra Palmigiano, Vlasta Sikimić
Engineering Faculty Articles and Research
In the present paper, we introduce a multi-type display calculus for dynamic epistemic logic, which we refer to as Dynamic Calculus. The displayapproach is suitable to modularly chart the space of dynamic epistemic logics on weaker-than-classical propositional base. The presence of types endows the language of the Dynamic Calculus with additional expressivity, allows for a smooth proof-theoretic treatment, and paves the way towards a general methodology for the design of proof systems for the generality of dynamic logics, and certainly beyond dynamic epistemic logic. We prove that the Dynamic Calculus adequately captures Baltag-Moss-Solecki’s dynamic epistemic logic, and enjoys Belnap-style cut …
Exploring Consciousness Through The Qualitative Content Of Equations,
2016
Nalanda Institute for Consciousness Studies and Research
Exploring Consciousness Through The Qualitative Content Of Equations, Ashok Narasimhan, Menas C. Kafatos
Mathematics, Physics, and Computer Science Faculty Articles and Research
The majority of the focus on equations in physics has been on the mathematical and computational aspects. Here we focus on the qualitative content of what the relationships expressed in equations imply. In some sense, we are asking foundational questions about the ontology of equations.
The Spectral Theorem For Quaternionic Unbounded Normal Operators Based On The S-Spectrum,
2016
Chapman University
The Spectral Theorem For Quaternionic Unbounded Normal Operators Based On The S-Spectrum, Daniel Alpay, Fabrizio Colombo, David P. Kimsey
Mathematics, Physics, and Computer Science Faculty Articles and Research
In this paper we prove the spectral theorem for quaternionic unbounded normal operators using the notion of S-spectrum. The proof technique consists of first establishing a spectral theorem for quaternionic bounded normal operators and then using a transformation which maps a quaternionic unbounded normal operator to a quaternionic bounded normal operator. With this paper we complete the foundation of spectral analysis of quaternionic operators. The S-spectrum has been introduced to define the quaternionic functional calculus but it turns out to be the correct object also for the spectral theorem for quaternionic normal operators. The fact that the correct notion of …
A New Realization Of Rational Functions, With Applications To Linear Combination Interpolation,
2016
Chapman University
A New Realization Of Rational Functions, With Applications To Linear Combination Interpolation, Daniel Alpay, Palle Jorgensen, Izchak Lewkowicz, Dan Volok
Mathematics, Physics, and Computer Science Faculty Articles and Research
We introduce the following linear combination interpolation problem (LCI): Given N distinct numbers w1,…wN and N+1 complex numbers a1,…,aN and c, find all functions f(z) analytic in a simply connected set (depending on f) containing the points w1,…,wN such that ∑u=1Nauf(wu)=c. To this end we prove a representation theorem for such functions f in terms of an associated polynomial p(z). We first introduce the following two operations, (i) substitution of p, and (ii) multiplication by monomials zj,0≤j
Rate Of Change 4,
2016
Illinois Mathematics and Science Academy
Approximations 3,
2016
Illinois Mathematics and Science Academy
Approximations 3, Ruth Dover
Integrals
Understanding Riemann sum approximations, including technology.
2. Population,
2016
Illinois Mathematics and Science Academy
2. Population, Ruth Dover
Differential Equations
Introduction to logistic population growth.
More Limits,
2016
Illinois Mathematics and Science Academy
