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  1. 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 est adæquatio rei et …

  2. Prove that $1^3 + 2^3 + ... + n^3 = (1+ 2 + ... + n)^2$

    HINT: You want that last expression to turn out to be $\big (1+2+\ldots+k+ (k+1)\big)^2$, so you want $ (k+1)^3$ to be equal to the difference $$\big (1+2+\ldots+k+ (k+1)\big)^2- (1+2+\ldots+k)^2\;.$$ …

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

    Dec 21, 2022 · Division is the inverse operation of multiplication, and subtraction is the inverse of addition. Because of that, multiplication and division are actually one step done together from left to …

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

    I have 2 matrices and have been trying to multiply them but to no avail. Then I found this online site and trying feeding it the values but yet no success. - R' . T is what i would like to do but ...

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

    The theorem that $\binom {n} {k} = \frac {n!} {k! (n-k)!}$ already assumes $0!$ is defined to be $1$. Otherwise this would be restricted to $0 <k < n$. A reason that we do define $0!$ to be $1$ is so that …

  6. Programación Lineal (PL) - Mathematics Stack Exchange

    El resultado de correr el proceso 3 por una hora es 2 barriles de gasolina 3. Todas las semanas se podrían comprar 200 barriles de crudo 1 a 2 dólares el barril y 300 barriles de crudo 2 a 3 dólares el …

  7. Why is $\infty\times 0$ indeterminate? - Mathematics Stack Exchange

    "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 …

  8. When 0 is multiplied with infinity, what is the result?

    What I would say is that you can multiply any non-zero number by infinity and get either infinity or negative infinity as long as it isn't used in any mathematical proof. Because multiplying by infinity is …

  9. Alternative notation for inverse function - Mathematics Stack Exchange

    Feb 23, 2018 · Are you're probably aware, there are common special notations for inverses of certain special functions, e.g., $\arctan$, $\operatorname {arsinh}$, etc. (Of course, $\arctan$ is not the …

  10. Show that $n^3-n$ is divisible by $6$ using induction

    Aug 1, 2016 · This answer is with basic induction method... when n=1, $\ 1^3-1 = 0 = 6.0$ is divided by 6. so when n=1,the answer is correct. we assume that when n=p , the answer is correct so we take, …