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Lower Bounds for Dynamic Programming on Planar Graphs of Bounded Cutwidth

Bas van Geffen, Bart Jansen, Arnoud de Kroon, Rolf Morel • Journal of Graph Algorithms and Applications (2020)

Many combinatorial problems can be solved in time $\mathcal{O}^*(c^{\mathrm{tw}})$ on graphs of treewidth $\mathrm{tw}$, for a problem-specific constant $c$. In several cases, matching upper and lower bounds on $c$ are known based on the St...

DOAJ Open Access (DOAJ) DOI: 10.7155/jgaa.00542

What is mathematics, really?

• Choice Reviews Online (1998)

Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolv...

OPENALEX DOI: https://doi.org/10.5860/choice.35-5132

Mathematical models of hysteresis

I.D. Mayergoyz • IEEE Transactions on Magnetics (1986)

A new approach to the scalar Preisach model of hysteresis, which emphasizes its phenomenological nature and mathematical generality, is described. The theorem, which gives the necessary and sufficient conditions for the representation of ac...

OPENALEX DOI: https://doi.org/10.1109/tmag.1986.1064347

Conceptual Mathematics

F. William Lawvere, Stephen H. Schanuel • Cambridge University Press eBooks (2009)

In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics introduces this tool for the learning, development, and use of mathematics, to beginning s...

OPENALEX DOI: https://doi.org/10.1017/cbo9780511804199

Creativity: The Essence of Mathematics

Eric L. Mann • journal for the education of the gifted (2006)

For the gifted mathematics student, early mastery of concepts and skills in the mathematics curriculum usually results in getting more of the same work and/or moving through the curriculum at a faster pace. Testing, grades, and pacing overs...

OPENALEX DOI: https://doi.org/10.4219/jeg-2006-264

The Mathematics of Diffusion

I. I. Berenblut • Physics Bulletin (1956)

By J. Crank London: Oxford University Press. Pp.347 + vi. Price 50s. This book presents a full account of the differential equations applicable to many diffusion problems. Analytical discussions are given of a wide variety of problems, and ...

OPENALEX Open Access DOI: https://doi.org/10.1088/0031-9112/7/10/004

National Council of Teachers of Mathematics

• Mathematics Teacher Learning and Teaching PK-12 (1979)

Organized groups of teachers of mathematics or of individuals preparing to become teachers of mathematics may petition the NCTM Board of Directors to become affiliated with the Council. Affiliated Groups are entitled to send a delegate to t...

OPENALEX DOI: https://doi.org/10.5951/mt.72.8.0637