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pro vyhledávání: '"Ethan D. Bolker"'
Publikováno v:
Mathematics Magazine. 94:339-352
Publikováno v:
Mathematics Magazine. 93:132-135
29 and 2929=67 are both prime. We explore that curiosity and find connections to deep questions on the distribution of the primes: the prime number theorem, Dickson’s conjecture, and Zhang’s bounde...
Autor:
Ethan D. Bolker, Maura B. Mast
Ten years from now, what do you want or expect your students to remember from your course? We realized that in ten years what matters will be how students approach a problem using the tools they carry with them—common sense and common knowledge—n
Autor:
Ethan D. Bolker
Publikováno v:
Mathematics Magazine. 83:46-49
Gergonne�s three pile card trick has been a favorite of mathematicians for nearly two centuries. This new exposition uses the radix sorting algorithm well known to computer scientists to explain why the trick works, and to explore generalizations.
Publikováno v:
The American Biology Teacher. 69:29-32
We have developed the Virtual Genetics Lab (VGL), a computer simulation of transmission genetics in a hypothetical insect. The program presents a student with a genetic phenomenon-the inheritance of a randomly-selected trait. The student's task is to
Autor:
Ethan D. Bolker
Publikováno v:
Philosophy of Science. 67:S14-S17
In this paper I discuss some of the mathematics behind an often quoted existence theorem from Richard Jeffrey's The Logic of Decision (Jeffrey 1990) in order to pose several new questions about the meaning and value of that mathematics for decision t
Autor:
Ethan D. Bolker
This text uses the concepts usually taught in the first semester of a modern abstract algebra course to illuminate classical number theory: theorems on primitive roots, quadratic Diophantine equations, and the Fermat conjecture for exponents three an
We present new methods of generating Prouhet-Tarry-Escott partitions of arbitrarily large regularity. One of these methods generalizes the construction of the Thue-Morse sequence to finite alphabets with more than two letters. We show how one can use
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a6303f96be02caf55424a30d86f2eb3
Publikováno v:
Shaping Space ISBN: 9780387927138
Plane pictures of three-dimensional convex polyhedra, plane sections of three-dimensional Dirichlet tessellations, and flat spider webs with tension in all the threads are essentially the same geometric object. At the root of this remarkable coincide
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b13d205068f64b2da820f8cfae6d7cda
https://doi.org/10.1007/978-0-387-92714-5_18
https://doi.org/10.1007/978-0-387-92714-5_18
Autor:
Brian White, Ethan D. Bolker
Publikováno v:
Biochemistry and molecular biology education : a bimonthly publication of the International Union of Biochemistry and Molecular Biology. 36(1)
This article describes three interactive software simulations targeted to key domains of modern molecular genetics: genetics, biochemistry, and molecular biology. These simulations allow students to deepen their understanding of key principles in the