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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 intellectus. But when it's connected with original sin, am i correct if i make the bold sentence become like this by reason of the fact that adam & eve sin, human (including adam and eve) are sinners Division is the inverse operation of multiplication, and subtraction is the inverse of addition

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Because of that, multiplication and division are actually one step done together from left to right I think i can understand that The same goes for addition and subtraction

Therefore, pemdas and bodmas are the same thing

To see why the difference in the order of the letters in pemdas and bodmas doesn't matter, consider the. The theorem that $\binom {n} {k} = \frac {n!} {k Otherwise this would be restricted to $0 <k < n$ A reason that we do define $0!$ to be $1$ is so that we can cover those edge cases with the same formula, instead of having to treat them separately

We treat binomial coefficients like $\binom {5} {6}$ separately already You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful What's reputation and how do i get it

Instead, you can save this post to reference later.

Does anyone know a closed form expression for the taylor series of the function $f (x) = \log (x)$ where $\log (x)$ denotes the natural logarithm function? 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 $$\big (1+2+\ldots+k+ (k+1)\big)^2- (1+2+\ldots+k)^2\;.$$ That’s a difference of two squares, so you can factor it as $$ (k+1)\Big (2 (1+2+\ldots+k)+ (k+1)\Big)\;.\tag {1}$$ To show that $ (1)$ is just a fancy way of writing $ (k+1)^3$, you need to. 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 particular, infinity is the same thing as 1 over 0, so zero times infinity is the same thing as zero over zero, which is an indeterminate form Your title says something else than. So, here is a fundamental question, division by zero is undefined, there are some ways to prove this 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 instructor used introducti.

Thank you for the answer, geoffrey 'are we sinners because we sin?' can be read as 'by reason of the fact that we sin, we are sinners'