i am not able to get this question . i please need explanation of the question along with answer
the question is

in an arithmetic addition problem the digits were replaced with letters ( equal digits by same letter and different digits by different letter) the result is LOVES+LIVE = THERE . how many 'loves' are 'there' ? the answer is maximum possible value of word THERE

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I know lots of people want a moderated environment, so I made one.


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I know lots of people want a moderated environment, so I made one.


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Critique on Boole's symbolic logic
the classical logic, the Boole's symbolic logic, the new algebra of Boole
Boole, An investigation of laws of thoughts

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A Fast Iteration Method for Mixture Regression Problem

What is renormalization in quantum field theory (QFT). I've been told (a Leonard Sussink video) that renormalization is the process of being able to ignore scales (in an integral, for example) that are so small that it would cause integrals to not converge. Is there a more mathematical description of this?

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I've started making youtube videos about maths, here's a link to my second video. I hope you enjoy, and I hope to receive feedback.

A friend who has a background in bio asked me this great question about how pure math research is funded. I answered as best I could, but I'm not the most prolific researcher myself. I thought I'd get some feedback from this community and then make it into a blog post on my blog. How would you have answered differently?

Question: For some reason I was reminded about that google hangout you were in about what mathematicians do. Particularly I was thinking about the part where you were saying that alot of your work/process just looks like staring at blank paper with a pen in your hand. I was wondering, how do y'all get paid? For other scientific fields, research is kind of the faculty's bread and butter, so I'd think it's pretty much the same with mathematics, no? But whereas NSF, NIH and NIMH give grants for studies that find results--even null results--who is funding you guys? Especially when your null results don't have a tangible quality to them. If your theorem or equation is wrong, it's just wrong, right? There's not like a journal of "formulas that go nowhere", huh? Correct me where I'm mistaken.

Answer: APPLIED mathematicians of course often use the same funding sources as their domain of application (biology, computer science, physics, etc.). Sara Del Valle who was in that hangout is an applied mathematician working at Los Alamos National Lab developing mathematical models of social behavior during disease epidemics. I just looked her up, and it looks like she's been funded by the NIH and DHS. So any funding source you are familiar with could be fair game for the right applied mathematician.

Pure mathematics is a different animal and has different financial needs. Pure mathematics researchers do not maintain labs. It is rare for a researcher to have more than two or three PhD students at any given time. My advisor is a very well-respected senior mathematician, and he's only had six students in his entire career. The NSF is the biggest source of funding for pure math. For the most part, an NSF grant in pure mathematics buys time. The researcher is supported to work over a summer or is able to reduce or temporarily eliminate their teaching load in order to spend time doing the research. Even when they don't get funding they will do the research anyway. It just takes longer, so less research gets done. Funding also supports travel. Researchers will often write into the grant support for their students, often graduate student advisees but increasingly over the years undergraduates as well. This frees the grad student from grading, tutoring, and/or teaching duties in order to study. It's a great gig if you can get it.

Researchers in pure mathematics don't do experimental science, so there is no null result. Our NSF grant applications attempt to describe a research project in detail without making too many promises about which specific theorems will end up being proven. Here are a couple of accepted proposals I picked at random that I think are pretty typical. Notice how the first paragraph puts the project into the context of the larger world of math and education while the second paragraph describes the project itself.

There is also funding for educational programs of various kinds. Think summer programs for undergraduates (http://www.nsf.gov/crssprgm/reu/list_result.jsp?unitid=5044) or programs to benefit undergraduate education in some way (e.g. http://utmost.aimath.org).

There is a spectrum of academic jobs for mathematicians from purely teaching (most common) to purely research (uncommon, but exists). My own research project is rather minimal. My career trajectory is very much on the teaching side of the spectrum, but I am very fortunate to work at an institution that is very good at making room for research when I am able and willing to do it. In my case, I can apply for grants internal to my university for reduced teaching loads and (very) small sums of money. This has been my only source of funding since leaving grad school. The typical mathematician that completes a PhD publishes a few papers based on their dissertation and then doesn't publish again. For mathematicians on the teaching end of the spectrum, we of course usually get paid primarily by the university.

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Math Equations!!
Math Equations that changed the World presented with their related GIFs: http://goo.gl/h6QOuk

- Pythagoras’s Theorem

- Logarithms

- Calculus

- Law of Gravity

- Euler’s Formula for Polyhedra

Read more: http://en.docsity.com/news/engineering/math-equations-changed-world-presented-related-gifs/

#mathchat   #mathgif  
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