1. (Defn 17.17) when they say that the elements 2,...,n belong to K, not Z, what do they mean?
2. the way they find the roots of the polynomial over Z2 is interesting
Wednesday, November 13, 2013
Monday, November 11, 2013
Wednesday November 13 sections 17.1-17.4.
1. what's the difference between the splitting field we learned before and the splitting field in 17.5?
2. Generalization is interesting
2. Generalization is interesting
Thursday, November 7, 2013
Friday November 8 sections 16.1-16.2.
1. old stuff from 371. most materials are familiar. explaining more in detail about quotient ring on irreducible polynomial would be good though.
2. some of the examples in 16.4 is interesting
2. some of the examples in 16.4 is interesting
Careers in Math - Jean Steiner November 8
Quantitative analysis at Google
Jean talked about what she mainly does in Google as a quantitative analysts. in deciding which webpage shows up first when someone search for a certain key word, the engine would calculate how probable it is for people to want that certain website when they typed that keyword.
to calculate the importance of a certain website, a function that has the importance of other webpage that links to the chosen webpage as input, and the importance of the chosen webpage as output.
these importance of the webpages are interrelated, and turns out you can form a matrix with those data, and finding the eigen value will allow you to calculate the importance of each individual webpage.
Jean talked about what she mainly does in Google as a quantitative analysts. in deciding which webpage shows up first when someone search for a certain key word, the engine would calculate how probable it is for people to want that certain website when they typed that keyword.
to calculate the importance of a certain website, a function that has the importance of other webpage that links to the chosen webpage as input, and the importance of the chosen webpage as output.
these importance of the webpages are interrelated, and turns out you can form a matrix with those data, and finding the eigen value will allow you to calculate the importance of each individual webpage.
Monday, November 4, 2013
Wednesday November 6 sections 15.2-15.3.
1. I am missing the point there. why does having three real root implies the polynomial is not soluble by radicals?
2. Is it often still for mathematicians to research on Quintic equations?
2. Is it often still for mathematicians to research on Quintic equations?
Friday, November 1, 2013
Monday November 4 section 15.1.
1. This section has a lot of proofs. Lemma 15.7 is kind of hard to follow
2. interesting to see the connect between radical expressions and soluble.
Careers in Math: Healthcare Thursday, Oct. 31th
Today is about the company Epic, a software developer for the health care system all over US and in multiple nations around the world.
The company is growing really fast in the past few year, beginning from 2002 the employee size is growing about 20% every year, and it raised from about 800 employees in 2002 to about 6500 employees in 2013.
there's 3 major role that mathematicians would have in the company.
1. Problem-solver, Technical services
2. Business Intelligence Developer
2. Software Development
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