lower limit---下限 upper limit---上限 e.g. 1425cm 上限=142+5=147cm 下限=142-5=137cm upper limit -(一个数值的最大可能值)上限 lower limit -(一个数值的最小可能值)下限 1a. The upper limit of length= 47 + (1/2) = 47.5 (cm) The lower limit of length= 47-0.5 ...
Unfortunately, this decay is a bit too weak for this problem; even if one uses the most quantitative version of Gallagher’s calculation, worked out in a recent paper of (Vivian) Kuperberg, the best bound on the mean is something like , which is not quite strong enough to overcome the ...
Even assuming the Riemann hypothesis, the best upper bound on prime gaps in is , and the best upper bound on semiprime gaps is not significantly better than this – in particular, one cannot reach for any . (There is a remote possibility that an extremely delicate analysis near , together...
While the ball does indeed bounce an infinite number of times, with the bounces getting smaller and smaller in height, that doesn’t mean it keeps bouncing forever. The bounces get smaller and smaller not only in height, but also in duration, and the sum of their durations converges to a...
The thing you would have to clear up is when you say "or" in your examples. For example, you say: f(1.5)=1.25 or 2.75 Does this mean the program should return either 1.25 or 2.75 randomly? Like one time you call the function and it returns 1.25 and the next...
"Much later, when I discussed the problem with Einstein, he remarked that the introduction of the cosmological term was the biggest blunder he ever made in his life. But this “blunder,” rejected by Einstein, is still sometimes used by cosmologists even
(This simple case will not cover the case in Theorem 2, when are truncated versions of the von Mangoldt function , but will serve as a warmup to that case.) Then we have the trivial upper bound A basic observation is that this upper bound is attainable if all “pretend” to behave...
Box 1: The null hypothesis is that does not have COVID. Box 2: The alternative hypothesis is that does have COVID. Box 3: In the absence of any better information, the prior probability of the null hypothesis is , or . Box 4: Similarly, the prior probability of the alternative ...
It is easy to verify that this operation is transitive and reflexive, and is directed because any two elements of have a common upper bound, namely . (This is where we need to be abelian.) The notion of convergence along a net, now allows us to define the notion of convergence along ...
The Polymath15 paper “Effective approximation of heat flow evolution of the Riemann function, and a new upper bound for the de Bruijn-Newman constant“, submitted to Research in the Mathematical Sciences, has just been uploaded to the arXiv. This paper records the mix of theoretical and comput...