is not. However, if is adiscretespace (every set is open), then the axiom of choice lets us solve the continuous lifting problem from for any continuous surjection , simply because every map from to is continuous. Conversely, the discrete spaces are the only ones with this property: if ...
This is a spinoff from the previous post. In that post, we remarked that whenever one receives a new piece of information , the prior odds between an alternative hypothesis and a null hypothesis is updated to a posterior odds , which can be computed via Bayes’ theorem by the formula wh...
What is the superposition theorem? What is torsion in differential geometry? What is a truncated prism? What are pictograms in math? What is hemisphere in maths? What is the inverse of the Jacobian? Define oblique prism. What is homeomorphism invariant?
What is a truncated prism? If sinh (xf(x)) + sinh(x) = 3/4 and f(In 2) = 0, then (In 2)f'(In 2) equals which of the following: a. -5/4 b. -1/4 c. -3/4 d. -7/4 e. -9/4 What is hemisphere in maths? What is synthetic differential geometry? What is complex ...
Rather than delving in to the maths and risking discovering that I needed more components I didn’t have, I started playing with the values I actually did have. Here’s a plot of the before-and-after empirical results. The green curve is the modified version. The level at 50Hz is now ...
Your large prime numbers are not the keys themselves, but rather are used to generate the keys with a bit of maths. For completeness, here’s how it actually works: Take two large primes, p and q. Call their product n. Compute the Carmichael totient function of n, L(n). Choose a ...
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Simple maths remind us that multiplying a positive number with a negative number has a negative result. In other words, the accurate mathematical result is negative, the truncated result is also negative, but the sign flag still isn't set. I'm not sure what else should be considered in ...
This is an important characteristic of its geometry. 4. Name the Structure: - The structure formed by these building blocks in zeolites is referred to as a "beta cage" or "sodalite cage." This name reflects the specific arrangement of the truncated octahedra within the zeolite framework. 5....
However, the situation is better when one is willing to consider estimates that are valid for almost all intervals, rather than all intervals, so that one now studies local higher order uniformity estimates of the form where and the supremum is over all nilsequences of a certain Lipschitz co...