Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Theodore Stanford"'
Publikováno v:
School Science and Mathematics. 121:495-508
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::484754e025923af8945cdde1ef3878a6
https://doi.org/10.1111/ssm.12500
https://doi.org/10.1111/ssm.12500
This chapter describes the design, development, and testing of a successful mathematics game-based intervention, Math Snacks, for students in grades 3–7. This program shows the impact of an integrative approach of developing Technological Pedagogic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::070c878a1765d4865623e1409102abd0
https://doi.org/10.4018/978-1-5225-3832-5.ch014
https://doi.org/10.4018/978-1-5225-3832-5.ch014
Autor:
Cathy Jeanne Kinzer, Theodore Stanford
Publikováno v:
Teaching Children Mathematics. 20:302-309
This activity sequence illustrates the conceptual development of important mathematical ideas, among them the understanding of area and how to deconstruct complicated problems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f4297ed63c40a41f4e8e5c0428f14566
https://doi.org/10.5951/teacchilmath.20.5.0302
https://doi.org/10.5951/teacchilmath.20.5.0302
Publikováno v:
Journal of Knot Theory and Its Ramifications. 19:355-384
We study generalizations of finite-type knot invariants obtained by replacing the crossing change in the Vassiliev skein relation by some other local move, analyzing in detail the band-pass and doubled-delta moves. Using braid-theoretic techniques, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9a2e462f2df995d534a70597c46c8a60
https://doi.org/10.1142/s0218216510007875
https://doi.org/10.1142/s0218216510007875
Autor:
Theodore Stanford, Jacob Mostovoy
Publikováno v:
Journal of Knot Theory and Its Ramifications. 12:417-425
We study a certain type of braid closure which resembles the plat closure but has certain advantages; for example, it maps pure braids to knots. The main results of this note are a Markov-type theorem and a description of how Vassiliev invariants beh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40515f467b3c9b77501e2a5ce8be84a2
https://doi.org/10.1142/s021821650300255x
https://doi.org/10.1142/s021821650300255x
Autor:
Jacob Mostovoy, Theodore Stanford
Publikováno v:
Topology and its Applications. 121(1-2):105-118
We define and study Vassiliev invariants for (long) Morse knots. It is shown that there are Vassiliev invariants which can distinguish some topologically equivalent Morse knots. In particular, there is an invariant of order 3 for Morse knots with one
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e10dfa8087b32954dc4b8ec8642612b
Publikováno v:
Physica D: Nonlinear Phenomena. 154:259-286
An increasingly popular method of encoding chaotic time-series from physical experiments is the so-called threshold crossings technique, where one simply replaces the real valued data with symbolic data of relative positions to an arbitrary partition
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0d9d9b6a41862da16a1a9c9285bdee53
https://doi.org/10.1016/s0167-2789(01)00242-1
https://doi.org/10.1016/s0167-2789(01)00242-1
Autor:
Theodore Stanford
Publikováno v:
Journal of Knot Theory and Its Ramifications. :213-219
Brunnian links have been known for a long time in knot theory, whereas the idea of n-triviality is a recent innovation. We illustrate the relationship between the two concepts with four short theorems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67a566cb6e010f49f6dc14687fc8d9ea
https://doi.org/10.1142/s0218216500000104
https://doi.org/10.1142/s0218216500000104
Autor:
Ka Yi Ng, Theodore Stanford
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 126:63-76
We give a construction of Gusarov's groups [Gscr ] n of knots based on pure braid commutators, and show that any element of [Gscr ] n is represented by an infinite number of prime alternating knots of braid index less than or equal to n +1. We also s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78c88a038349dc80972c9ac5f2afb5f5
https://doi.org/10.1017/s030500419800303x
https://doi.org/10.1017/s030500419800303x
Autor:
Theodore Stanford
Publikováno v:
Topology and its Applications. 77(3):261-276
We give an explicit algorithm for computing all of Vassiliev's knot invariants of order ⩽ n, which has been implemented on a computer. In giving a justification of the algorithm, we obtain a simple proof of the sufficiency of the topological 1-term
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::33fa09611e83d08774cb143bd0571b9e