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Furthermore, there are multiple ways of writing out a given complex number, or a number in general. Usually we reduce things to the "simplest" terms for display -- saying 0 is a lot cleaner than saying 1-1 for example. The complex numbers are a field. This means that every non-0 element has a multiplicative inverse, and that inverse is unique. While 1i i -1 is true (pretty much by definition ... This aspect of A 1 Carpet Cleaning Ames Ia Trusted Local Experts Offers plays a vital role in practical applications.
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Moreover, 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 ltk lt 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 the theorem assumes ... This aspect of A 1 Carpet Cleaning Ames Ia Trusted Local Experts Offers plays a vital role in practical applications.
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Furthermore, is there a formal proof for (-1) times (-1) 1? It's a fundamental formula not only in arithmetic but also in the whole of math. Is there a proof for it or is it just assumed? This aspect of A 1 Carpet Cleaning Ames Ia Trusted Local Experts Offers plays a vital role in practical applications.
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There are multiple ways of writing out a given complex number, or a number in general. Usually we reduce things to the "simplest" terms for display -- saying 0 is a lot cleaner than saying 1-1 for example. The complex numbers are a field. This means that every non-0 element has a multiplicative inverse, and that inverse is unique. While 1i i -1 is true (pretty much by definition ... This aspect of A 1 Carpet Cleaning Ames Ia Trusted Local Experts Offers plays a vital role in practical applications.
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Moreover, 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 ltk lt 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 the theorem assumes ... This aspect of A 1 Carpet Cleaning Ames Ia Trusted Local Experts Offers plays a vital role in practical applications.
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The formal moral of that example is that the value of 1i 1 i depends on the branch of the complex logarithm that you use to compute the power. You may already know that 1 e02ki 1 e 0 2 k i for every integer k k, so there are many possible choices for log(1) log (1). This aspect of A 1 Carpet Cleaning Ames Ia Trusted Local Experts Offers plays a vital role in practical applications.
Furthermore, abstract algebra - Prove that 112 - Mathematics Stack Exchange. This aspect of A 1 Carpet Cleaning Ames Ia Trusted Local Experts Offers plays a vital role in practical applications.
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