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 Oct 4 awarded Yearling Oct 4 awarded Yearling Dec 15 awarded Nice Answer Oct 4 awarded Yearling Jan 16 comment Applications of Residue Theorem in complex analysis? Hello, Welcome to math.SE. IMO one of the main use is to find integrals (i.e, contour integration). It is pretty important for finding real definite integrals also..Search for contour inegration would yielda lot of results. Dec 3 revised Complex solutions of $\sin z = i \alpha \cos z$ explained the particular solution Dec 3 comment Complex solutions of $\sin z = i \alpha \cos z$ put $z_0=i\alpha$ in the final answer.. it also gives you a very important onservation, if $\alpha = 1$ there is no solution. Dec 3 answered Complex solutions of $\sin z = i \alpha \cos z$ Nov 18 revised In terms of complexity, is there a quicker way of checking if a matrix is nonsingular than computing the determinant? added 919 characters in body Nov 18 answered In terms of complexity, is there a quicker way of checking if a matrix is nonsingular than computing the determinant? Nov 16 comment What is degree of freedom in statistics? Degree of freedom for a prticle is the number of dimensions only if the motion is not constrained. For an example, consider a particle hanging down from ceiling with the help of a rigid rod, then degree of freedom is less than $3$, right?(it is actually $2$.). Any two independent parameters give all information about the position of particle. (Try to give position using two parameters). If you still have questions, ask. I'll be glad to help if I can.. Nov 15 comment Where does the Chi-square equation come from? IMO chi squared, Student's t distribution, and F distribution, all are from nowhere, they are names given to some functions of random variables which originated during calculations, like in linear regression, ANOVA, etc.They are to some extent derived distributions as opposed to distributions like normal, etc Nov 15 revised Where does the Chi-square equation come from? added 480 characters in body Nov 15 revised Where does the Chi-square equation come from? added 480 characters in body Nov 15 answered Where does the Chi-square equation come from? Nov 15 revised Finding coefficients of quadratic given one tangent and point on the curve added 389 characters in body Nov 15 answered Finding coefficients of quadratic given one tangent and point on the curve Nov 15 comment simplify natural logarithm nope, you haven't seen real awesome ppl here yet.. welcome again here and have a nice time.. Nov 15 comment simplify natural logarithm putting the values, we get,$\ln 3C = \ln 3$.Take out the log, then we get $3C=3 \iff C=1$. Nov 15 revised What is degree of freedom in statistics? added 11 characters in body