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  1. factorial - Why does 0! = 1? - Mathematics Stack Exchange

    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 …

  2. Who first defined truth as "adæquatio rei et intellectus"?

    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 …

  3. Why is $\\infty\\times 0$ indeterminate? - Mathematics Stack …

    "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 …

  4. Difference between PEMDAS and BODMAS. - Mathematics Stack …

    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 = …

  5. matrices - How to multiply a 3x3 matrix with a 1x3 matrix ...

    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 …

  6. calculus - Why the gradient vector gives the direction of maximum ...

    Sep 2, 2016 · And I understand that the partial derivatives gives the increase value in the directions of i and j versor respectively. But, why the gradient vector, compound of these two …

  7. Pole-zero cancelation method for PI controller design

    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 …

  8. Why the number e (=2.71828) was chosen as the natural base for ...

    Possible Duplicate: What's so “natural” about the base of natural logarithms? Why the number e(=2.71828) was chosen as the natural base for logarithm functions ? Mainly I am interested in …

  9. Are There Any Symbols for Contradictions? - Mathematics Stack …

    Perhaps, this question has been answered already but I am not aware of any existing answer. Is there any international icon or symbol for showing Contradiction or reaching a contradiction in …

  10. Are we sinners because we sin or do we sin because we are sinners?

    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 …