Possible Duplicate: Prove 0! = 1 0! = 1 from first principles Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. The product …

"Infinity times zero" or "zero times infinity" is a "battle of two giants". Zero is so small that it makes everyone vanish, but infinite is so huge that it makes everyone infinite after multiplication. In …

Mar 28, 2022 · António Manuel Martins claims (@44:41 of his lecture "Fonseca on Signs") that the origin of what is now called the correspondence theory of truth, Veritas …

The usual matrix multiplication is only defined for multiplying an m × n m × n matrix with an n × R n × R matrix. So the number of columns of the first matrix must be equal to the number of rows …

Dec 21, 2022 · You shouldn't think of either rule as setting different priorities for multiplication and division, or for addition and subtraction. You need to work left to right for these. PEMDAS = …

Jul 19, 2023 · I think it is ill-advised in practice to do pole-zero cancellation. Unstable pole-zero cancellation is just plain bad (the closed loop will be unstable) but stable pole-zero cancellation …

Sep 6, 2011 · Does anyone have a recommendation for a book to use for the self study of real analysis? Several years ago when I completed about half a semester of Real Analysis I, the …

Mar 29, 2017 · During the next quarter at uni, I'll be taking a course in real analysis and since I prefer studying with an additional text I thought I'd come here to look for some book …

Nov 15, 2019 · Thank you for the answer, Geoffrey. From what you wrote : 'Are we sinners because we sin?' can be read as 'By reason of the fact that we sin, we are sinners'. I think I …

In 1910, Srinivasa Ramanujan found several rapidly converging infinite series of $\\pi$, such as $$ \\frac{1}{\\pi} = \\frac{2\\sqrt{2}}{9801} \\sum^\\infty_{k=0 ...