Qohen Leth
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5 days ago · When r is zero, the repayment amount per period is (since only principal is being repaid); this is consistent with the formula for non-zero interest rates: (+) (+) = (+) + (+) (+) =. One can also use L'Hôpital's rule to prove the following theorem.
1 day ago · For example: According to the prime number theorem, there are approximately 100 / ln(100) ≈ 22 prime numbers in the interval between 1 and 100. But in reality there are 25. There is therefore a ...
3 days ago · The Prime Number Theorem turns out to be equivalent to the statement that there are no zeroes on the edge of the strip, the line \(\text{Re}(s) = 1.\) In fact, computational evidence suggests that all the zeroes lie in the center of the strip, \(\text{Re}(s) = 1/2;\) and this is the famous Riemann hypothesis .
5 days ago · The zero map between two vector spaces (over the same field) is linear. The identity map on any module is a linear operator. For real numbers, the map x ↦ x 2 {\textstyle x\mapsto x^{2}} is not linear.
4 days ago · One definition is that a random vector is said to be k -variate normally distributed if every linear combination of its k components has a univariate normal distribution. Its importance derives mainly from the multivariate central limit theorem.
5 days ago · The concept and associated value of the mathematical symbol ‘zero’ is used the world over as a fundamental numerical pillar. However, its origin has until now been one of the field’s greatest conundrums.
21 hours ago · The extreme form of this principle is that you could theoretically break a modern cipher, for example AES, by encrypting every single possible plaintext using every single possible key, and then creating a gigantic precomputed table that records the correct encryption key for each possible pair of plaintext and ciphertext blocks (for a modern cipher, this level of break is considered Very Bad).
