tylerc0816
Reputation
2,158
Next privilege 2,500 Rep.
Create tag synonyms
 Dec16 awarded Yearling Jul2 awarded Curious Jul2 awarded Inquisitive Feb23 comment Writing $1$ as a Linear Combination of Polynomials @dafinguzman I think it is $4x + 2t + 1$. wolframalpha.com/input/?i=%28t%5E3+%2B+5*tx%5E2+%2B+1%29+-+t*%28t%5E‌​2+%2B+x%5E2+-+2%29+-4*x*%28tx+-+1%29 Feb23 revised Writing $1$ as a Linear Combination of Polynomials added 1 characters in body Feb23 comment Linear combination of quadratics that vanish on a line The question comes from the section on algebraic geometry. I just skimmed the 1st edition and couldn't find the problem there, either. Feb23 comment Linear combination of quadratics that vanish on a line @DonAntonio Sorry, the book is 'Algebra' by Michael Artin (2nd ed.) Feb23 comment Linear combination of quadratics that vanish on a line @DonAntonio This is a question from Artin chapter 11, exercise 9.11. Feb23 comment Linear combination of quadratics that vanish on a line @DonAntonio The phrasing in the book says "quadratic polynomials", but I think your right. What is the definition of a two-variable quadratic? Is it $ax^2y^2 + bxy^2 + cx^2y + \dotsb?$. Feb23 asked Linear combination of quadratics that vanish on a line Feb23 accepted Perron Solution is Precisely Poisson Integral on Punctured Disk Feb23 accepted Perron Solution on Domain with Disk Removed Feb23 accepted Writing $1$ as a Linear Combination of Polynomials Feb20 asked Writing $1$ as a Linear Combination of Polynomials Feb20 revised Perron Solution on Domain with Disk Removed edited title Feb20 asked Perron Solution on Domain with Disk Removed Feb18 asked Perron Solution is Precisely Poisson Integral on Punctured Disk Feb11 accepted Proof of Schwarz Formula Feb11 asked Proof of Schwarz Formula Feb2 awarded Custodian