Search found 1219 matches

by Joseph Malkevitch
Sat Nov 18, 2017 1:41 pm
Forum: Math is More: General Discussion
Topic: Euclidean constructions
Replies: 0
Views: 1

Euclidean constructions

Dear Colleagues, While ruler and straight edge constructions in Euclidean geometry are of great historical interest I don't see them as a topic to promote in K-12 education. However, those interested in the circle of ideas that these constructions lead to may enjoy looking at: https://www.euclidea.x...
by Joseph Malkevitch
Thu Nov 16, 2017 11:39 pm
Forum: Math is More: General Discussion
Topic: Tilings with non-congruent triangles
Replies: 0
Views: 1

Tilings with non-congruent triangles

Dear Colleagues,

It is well known that any shape triangle can be used to tile the plane. What about using more "general" collections of triangles?

This recent interesting paper addresses a question of this type:

https://arxiv.org/pdf/1711.04504.pdf

Regards,

Joe
by Joseph Malkevitch
Tue Nov 14, 2017 6:27 pm
Forum: Math is More: General Discussion
Topic: Riemann and physics
Replies: 0
Views: 3

Riemann and physics

Dear Colleagues,

This recent paper discusses the way that physics influenced some of the mathematical questions that Bernard Riemann addressed:

https://arxiv.org/pdf/1711.01755.pdf

Regards,

Joe
by Joseph Malkevitch
Tue Nov 14, 2017 6:15 pm
Forum: Math is More: General Discussion
Topic: Jean Bourgain wins 2018 lifetime achievement award
Replies: 0
Views: 1

Jean Bourgain wins 2018 lifetime achievement award

Dear Colleagues,

Jean Bourgain has won the 2018 Steele Prize for lifetime achievement.

Information about Bourgain is available on this page:

https://en.wikipedia.org/wiki/Jean_Bourgain

Regards,

Joe
by Joseph Malkevitch
Tue Nov 14, 2017 12:15 pm
Forum: Math is More: General Discussion
Topic: Game theory approaches to gerrymandering
Replies: 0
Views: 1

Game theory approaches to gerrymandering

Dear Colleagues, Because the Supreme Court is looking into the issue of political aspects of gerrymandering, there has also been lots of scholarly interest in the issue of drawing legislative districts fairly. Here is an account of how some game theory thinking is being used to get "fair" ...
by Joseph Malkevitch
Mon Nov 13, 2017 10:52 am
Forum: Math is More: General Discussion
Topic: Shell structures in architecture
Replies: 0
Views: 1

Shell structures in architecture

Dear Colleagues, Modern engineering, supported by mathematics and computer science, has made it possible for architects to use forms in their buildings that would not have been possible 100 years ago. Here is one look at this phenomenon in the area of using "shells." https://link.springer....
by Joseph Malkevitch
Sun Nov 12, 2017 11:44 pm
Forum: Math is More: General Discussion
Topic: Gerrymandering
Replies: 0
Views: 3

Gerrymandering

Dear Colleagues, Gerrymandering has been used by political parties in power to get more seats for their party both in state elections and elections for members of the House of Representatives. The Supreme Court probably in the current session will make a decision of some of what has happened. Comput...
by Joseph Malkevitch
Fri Nov 03, 2017 1:10 pm
Forum: Math is More: General Discussion
Topic: Moscow mathematics
Replies: 0
Views: 9

Moscow mathematics

Dear Colleagues, In the early 20th century many achievements of the Russian mathematics community were obscured due to the fact that lots of the work published in Russian was not easily read elsewhere, and later the Cold War contributed to these achievements not always being properly viewed. Here is...
by Joseph Malkevitch
Fri Nov 03, 2017 12:57 pm
Forum: Math is More: General Discussion
Topic: Ways of viewing quantum mechanics
Replies: 0
Views: 8

Ways of viewing quantum mechanics

Dear Colleagues, Some of the ways of thinking about quantum mechanics seem "paradoxical." A recent article tries to show that an approach to quantum mechanics due to Julian Schwinger may put the "foundations" of quantum mechanics in a more palatable form. https://arxiv.org/ftp/ar...
by Joseph Malkevitch
Thu Nov 02, 2017 11:20 am
Forum: Math is More: General Discussion
Topic: Huge genome
Replies: 0
Views: 8

Huge genome

Dear Colleagues, Yes, the human genome is complex but the genome of "wheat" is much more complex. And what about the genetic variation between different kinds of wheat? An improved version of the "wheat" genome has been completed: https://www.nature.com/news/small-group-scoops-in...
by Joseph Malkevitch
Wed Nov 01, 2017 1:30 pm
Forum: Math is More: General Discussion
Topic: Mathematical art
Replies: 0
Views: 7

Mathematical art

Dear Colleagues,

Here are some examples of very appealing mathematical art and puzzles due to Jane and John Kostick:

http://www.kosticks.com/ipp32-entries.html

Regards,

Joe
by Joseph Malkevitch
Sat Oct 28, 2017 3:56 pm
Forum: Math is More: General Discussion
Topic: Simpson's paradox
Replies: 0
Views: 11

Simpson's paradox

Dear Colleagues, Simpson's paradox calls attention to the fact that a "trend" when looking at a whole group may not hold for subgroups of the whole group - in fact one may see "opposite" behavior in the two subgroups that make up a group from what one sees in the group. Examples ...
by Joseph Malkevitch
Thu Oct 26, 2017 12:48 pm
Forum: Math is More: General Discussion
Topic: Mathematics and material science
Replies: 0
Views: 16

Mathematics and material science

Dear Colleagues, Over and over again, mathematics which was born for internal concerns within mathematics, theoretical mathematics, has turned out to prove useful in other areas of knowledge. A good example is that topological ideas are finding applications in material science. Here is a recent &quo...
by Joseph Malkevitch
Thu Oct 26, 2017 11:02 am
Forum: Math is More: General Discussion
Topic: Fermat's Last Theorem (in French)
Replies: 0
Views: 15

Fermat's Last Theorem (in French)

Dear Colleagues, The French mathematician Cedric Villani comments on Fermat's Last Theorem in this set of of comments in French. The article appears in the popular French magazine about science, Pour La Science. Other articles in this journal about mathematics are linked at the bottom of the page. h...
by Joseph Malkevitch
Tue Oct 24, 2017 1:26 pm
Forum: Math is More: General Discussion
Topic: Frivolous research?
Replies: 0
Views: 18

Frivolous research?

Dear Colleagues, Often there have been criticisms of the projects that government money gets spent on - frivolous research. Karen Saxe has some useful thoughts about this issue including the example of the Gale/Shapley Marriage Theorem which some thought was not worth the money that was put into wor...

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