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 Apr15 accepted Why do we need two linearly independent solutions for 2nd order linear ODE Apr14 asked the integral of normal derivative Apr2 comment Why do we need two linearly independent solutions for 2nd order linear ODE true. I edited my question. thanks. Apr2 revised Why do we need two linearly independent solutions for 2nd order linear ODE deleted 9 characters in body Apr2 asked Why do we need two linearly independent solutions for 2nd order linear ODE Mar26 asked Why is $[\partial f/\partial x,2\partial f/\partial y,\partial f/\partial x]$ NOT a vector? Mar26 asked scalar function's value - choice of coordinates Jan3 accepted A=B.C if C is non-singular then col(A)=col(B) Jan3 asked A=B.C if C is non-singular then col(A)=col(B) Dec28 awarded Inquisitive Dec27 comment Need help for a beginner to floating-point arithmetic @hardmath as you found it, machine epsilon is 0.25. so does this imply that $m_3=0$. Then,all the possible values the mantissa can take:0.110,0.100,0.010,0000? Dec27 comment smallest poisitive integer does not belong in floating point system F so, e is not fixed. it can take multiple values Dec27 comment smallest poisitive integer does not belong in floating point system F am I on the right track? Dec27 comment smallest poisitive integer does not belong in floating point system F to not represent some integers, we need $\beta^{e-t}$ to be larger than 1. in this case the smallest e is t+1. so we have $x=m.\beta$ Dec27 comment smallest poisitive integer does not belong in floating point system F but how do would i know that the smaller integers are in F? Dec27 comment smallest poisitive integer does not belong in floating point system F then the answer is clear. ok, i'll try to prove it. thanks Dec27 comment smallest poisitive integer does not belong in floating point system F i need the positive integer. could you please explain why it is $\beta^t +1$ Dec27 revised smallest poisitive integer does not belong in floating point system F added 9 characters in body; edited title Dec27 asked smallest poisitive integer does not belong in floating point system F Dec23 revised Rayleigh quotient ($|r(q)-\lambda|=O(||q-x||_2^2)$ ?) added 91 characters in body; edited title