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Articles 2341 - 2370 of 2395
Full-Text Articles in Mathematics
Mathematics: Freedom Within Bounds, Harold Heie
Mathematics: Freedom Within Bounds, Harold Heie
ACMS Conference Proceedings 1981
No abstract provided.
A Reaction To The Poythress Paper, Paul J. Zwier
A Reaction To The Poythress Paper, Paul J. Zwier
ACMS Conference Proceedings 1981
This paper reacts to the metaphor of Vern Sheridan Poythress’s papers, Science as Allegory, exploring what makes a good metaphor and the quality of argument it produces.
Science As Allegory, Vern Poythress
Science As Allegory, Vern Poythress
ACMS Conference Proceedings 1981
The universe is God’s choral poem, and science is a system of allegories within it. That is the thesis that I propose to expound and defend. Yet it is not a “thesis” at all, if the word “thesis” commits me to a certain kind of strict logical defense. I am not putting forward my thesis that science is allegory as the endpoint of a deductive or inductive argument. Rather, it is a springboard for a program of exploration and reflection that turns upside-down some conventional ways of thinking about science.
Introduction (1981), Robert Brabenec
Introduction (1981), Robert Brabenec
ACMS Conference Proceedings 1981
A Third Conference on Mathematics from a Christian Perspective
Table Of Contents (1981), Association Of Christians In The Mathematical Sciences
Table Of Contents (1981), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 1981
No abstract provided.
Algebraic Complexity Theory, Nicholas Pippenger
Algebraic Complexity Theory, Nicholas Pippenger
All HMC Faculty Publications and Research
Algebraic complexity theory, the study of the minimum number of operations sufficient to perform algebraic computations, is surveyed with emphasis on the general theory of bilinear forms and two of its applications: polynomial multiplication and matrix multiplication. Though by no means exhausting algebraic complexity theory, these topics illustrate well its development and its methods, and provide examples of its most striking successes.
Random Variables And A Sovereign God, Lloyd Montzingo
Random Variables And A Sovereign God, Lloyd Montzingo
ACMS Journal 2004
This paper takes a brief look at the history of conflict between the concepts of chance and divine activity. After reviewing some evidence for randomness in the universe, present philosophical and theological views from four different scientists on this subject are presented. The discussion concludes with some questions and observations concerning those questions.
On Some Dependencies Between Functional Forms In Functional Programming Systems, Atanas Radenski
On Some Dependencies Between Functional Forms In Functional Programming Systems, Atanas Radenski
Mathematics, Physics, and Computer Science Faculty Articles and Research
In the present paper, some dependencies between functional forms in functional programming systems are demonstrated. It is shown that any functional form can be expressed by using only the forms composition, condition and construction.
Ua66/16/2 Ogden Instructional Computing Newsletter, Vol. 2, No. 1, Wku Mathematics & Computer Science
Ua66/16/2 Ogden Instructional Computing Newsletter, Vol. 2, No. 1, Wku Mathematics & Computer Science
WKU Administration Documents
Newsletter created by the Ogden Computer Laboratory to promote services, courses, hardware, software and student activities.
On The Evaluation Of Powers And Monomials, Nicholas Pippenger
On The Evaluation Of Powers And Monomials, Nicholas Pippenger
All HMC Faculty Publications and Research
Let $y_1 , \cdots ,y_p $ be monomials over the indeterminates $x_1 , \cdots ,x_q $. For every $y = (y_1 , \cdots ,y_p )$ there is some minimum number $L(y)$ of multiplications sufficient to compute $y_1 , \cdots ,y_p $ from $x_1 , \cdots ,x_q $ and the identity 1. Let $L(p,q,N)$ denote the maximum of $L(y)$ over all $y$ for which the exponent of any indeterminate in any monomial is at most $N$. We show that if $p = (N + 1^{o(q)} )$ and $q = (N + 1^{o(p)} )$, then $L(p,q,N) = \min \{ p,q\} \log N …
Ua66/16/2 Ogden Instructional Computing Newsletter, Vol. 1, No. 2, Wku Mathematics & Computer Science
Ua66/16/2 Ogden Instructional Computing Newsletter, Vol. 1, No. 2, Wku Mathematics & Computer Science
WKU Administration Documents
Newsletter created by the Ogden Computer Laboratory to promote services, courses, hardware, software and student activities.
Making Curriculum Decisions And The Nature Of Mathematics, Paul Zwier
Making Curriculum Decisions And The Nature Of Mathematics, Paul Zwier
ACMS Conference Proceedings 1979
This paper explores the pedagogical decisions made by those teaching mathematics by discussing the various values and priorities of a mathematics course.
Mathematics In The Christian Philosophy Of Life, C. Ralph Verno
Mathematics In The Christian Philosophy Of Life, C. Ralph Verno
ACMS Conference Proceedings 1979
It is universally agreed that mathematics is important, that it is indeed very significant in life. This would be admitted even by those who are ignorant of or who dislike mathematics. There would be much less agreement, however, about why mathematics is important or significant. Such disagreement exists even more among mathematicians and mathematics educators. Unhappily many of the Christians who think about such things (and there are not very many who think about them at all) basically share the utilitarian view of many non-Christian thinkers, although endeavoring to place it within a Christian context. They think it is wonderful …
Brief Position Paper For Panel Discussion On Relation Of Mathematics And Christianity, C. Ralph Verno
Brief Position Paper For Panel Discussion On Relation Of Mathematics And Christianity, C. Ralph Verno
ACMS Conference Proceedings 1979
Some people view a conjoining of Christianity and Mathematics as improper. They miss the point of the relationship. The content of mathematics is not affected by Christianity. The relationship does not concern what, or how (the Christian doesn’t solve equations or differentiate differently), but it concerns why. It concerns such things as the interpretation and appreciation of the beauty, the symmetries, the coincidences, the remarkable properties, man’s creative role, etc. This paper explores the relationship between Christianity and mathematics as part of a panel discussion on the topic.
On Kuyk’S Complementarity In Mathematics, Gene B. Chase
On Kuyk’S Complementarity In Mathematics, Gene B. Chase
ACMS Conference Proceedings 1979
This paper examines Willem Kuyk’s book, Complementarity in Mathematics, and the interplay between the subjects of mathematics.
Are Mathematical Objects Ontologically Real? Ideas And Suggestions, Frank R. Bernhart
Are Mathematical Objects Ontologically Real? Ideas And Suggestions, Frank R. Bernhart
ACMS Conference Proceedings 1979
This essay will consider a few ways that realism in the modern philosophy of mathematics might be understood and defined.
Intuitionism, Terence H. Perciante
Intuitionism, Terence H. Perciante
ACMS Conference Proceedings 1979
Intuitionism derives philosophically from Kant's Conceptualism -- the object of the mathematical knowledge only have reality within the mind, they do not have reality apart from our thinking. This paper examines the nature of intuitionism and its strengths.
Two Philosophical Problems About Mathematics, Stephen Barker
Two Philosophical Problems About Mathematics, Stephen Barker
ACMS Conference Proceedings 1979
Mathematics is a flourishing field of human endeavor, a field that is accorded great respect and high standing. For 2500 years or more, many of the best minds available have worked in this field; and the results produced have indirectly been of enormous value to other fields, such as physics, engineering, architecture, economics, and so on. But with is mathematics about? Physics studies moving bodies; engineering studies bridges; architecture studies buildings; economics studies commercial behavior: here there are phenomena we can point to that constitute the subject matter. But what does mathematics study? If you answer “Numbers”, or “Abstract types …
Axiomatic Structure And The Method Of Analysis: Shifting Styles In The History Of Mathematics, Calvin Jongsma
Axiomatic Structure And The Method Of Analysis: Shifting Styles In The History Of Mathematics, Calvin Jongsma
ACMS Conference Proceedings 1979
This article surveys the different views of mathematical methodology that occurred from ancient Greek times through the early modern period up until its codification around 1900. After summarizing the axiomatic approach advocated by Aristotle and implemented in mathematics by Euclid, the talk explores the character of analysis in ancient Greek times, its development into a symbolic algebra by Viete and Descartes, and its expansion into a calculus of fluxions and differentials by Newton and Leibniz. The article concludes by touching on the recovery and transformation of the deductive ideal for mathematics by Pasch, Peano, and Hilbert during the late nineteenth …
Non-Standard Calculus, Ron Friewald
Non-Standard Calculus, Ron Friewald
ACMS Conference Proceedings 1979
This paper is intended to provide a very cursory introduction to how “nonstandard calculus” works, giving a sketch of how elementary calculus can be presented using hyperreal numbers.
Computer Usage In The College Curriculum, Dick A. Wood
Computer Usage In The College Curriculum, Dick A. Wood
ACMS Conference Proceedings 1979
No abstract provided.
Math & Society: An Introduction To Mathematical Thought, Verbal Snook
Math & Society: An Introduction To Mathematical Thought, Verbal Snook
ACMS Conference Proceedings 1979
No abstract provided.
Mathematics And Christian Faith - Some Personal Perceptions, Richard Laatsch
Mathematics And Christian Faith - Some Personal Perceptions, Richard Laatsch
ACMS Conference Proceedings 1979
No abstract provided.
Implications Of Recent Developments In Philosophy Of Science For An Axiological Approach To Foundations Of Mathematics, Harold Heie
ACMS Conference Proceedings 1979
No abstract provided.
Logic In The Mathematics Curriculum, Nigel Cutland
Logic In The Mathematics Curriculum, Nigel Cutland
ACMS Conference Proceedings 1979
No abstract provided.
Introduction (1979), Robert Brabenec
Introduction (1979), Robert Brabenec
ACMS Conference Proceedings 1979
No abstract provided.
Table Of Contents (1979), Association Of Christians In The Mathematical Sciences
Table Of Contents (1979), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 1979
A Second Conference on the Foundations of Mathematics
Ua66/16/2 Ogden Instructional Computing Newsletter, Vol. 1, No. 1, Wku Mathematics & Computer Science
Ua66/16/2 Ogden Instructional Computing Newsletter, Vol. 1, No. 1, Wku Mathematics & Computer Science
WKU Administration Documents
Newsletter created to promote the Ogden College Computer Laboratory. This issue is a review of some projects, courses, hardware and software available from the computer lab.
Optimal 2,3-Trees, Nicholas J. Pippenger, Raymond E. Miller, Arnold L. Rosenberg, Lawrence Snyder
Optimal 2,3-Trees, Nicholas J. Pippenger, Raymond E. Miller, Arnold L. Rosenberg, Lawrence Snyder
All HMC Faculty Publications and Research
The 2,3-trees that are optimal in the sense of having minimal expected number of nodes visited per access are characterized in terms of their “profiles”. The characterization leads directly to a linear-time algorithm for constructing a K-key optimal 2,3-tree for a sorted list of K keys. A number of results are derived that demonstrate how different in structure these optimal 2,3-trees are from their “average” cousins.
Making Curriculum Decisions And The Nature Of Mathematics, Paul Zwier
Making Curriculum Decisions And The Nature Of Mathematics, Paul Zwier
ACMS Journal 2004
This paper clearly presents eight aspects of mathematics and contrasting perspectives in each that will affect the teaching of mathematics and the design of curricula. It also presents a collection of affirmations that could reasonably characterize a Christian perspective on teaching mathematics.