What is the probability that the sum of the two dice is between 2 and 12, inclusive? What is the probability that exactly one die shows a 1 given that the sum of the numbers on two dice is 4? Two fair dice are rolled. The sum of the num...
is the “-analogue” of (a polynomial in that equals in the limit ). (The -analogues become more complicated for more general forms than these.) In this more concrete setting, the fact that prismatic cohomology is independent of the choice of coordinates apparently becomes quite a non-trivial...
(When mass equals that of the ground state, there is an explicit example, built using the pseudoconformal transformation, which shows that solutions can blow up in finite time.) In fact we can show a slightly stronger statement: for spherically symmetric focusing solutions with arbitrary mass, ...
{N\rightarrow \infty } N^{-1}\sum _{n=1}^N x_n=1/2\) is “typical” for a fair coin flip and indeed (by the strong law of large numbers) it holds with probability 1 (in that the set E of all x for which this limit exists and equals 1/2 has \(\mu ^{\infty }(E)...
Hey All, I'm attempting to create a custom filter that will only show the tasks of which the custom field/column value is a specific value (in this case...
The reason why this is so important, she explains, is that too many children see the equals sign as an operator that tells you to “put the answer here”. This misconception makes it more difficult for them to grasp more advanced mathematics further down the line. “As you can imagine, ...
We live in a therapy culture. Most of us don't do that, but the culture's a therapy culture, the mindset that we are our past. And you wouldn't be in this room if you bought that, but most of society thinks biography is destiny. The past equals the future. Of course it does ...
Note: reference to N equals the size of the population while n equals the size of the sample. The sampling strategy was applied to the dataset on the 7 April 2020 with 42 organisations selected from the population in the database observed at the time of analysis (N=278). A data search...
THE PATTERN OUTER HOLY PLACE, VEIL, HOLY OF HOLIES And so the temple or dwelling place of God had an outer holy place, the inner holy of holies, and the two were separated by a veil or curtain. That was the Biblical pattern of the actual place where God dwells. ...
For each we introduce a time cutoff supported on that equals on and obeys the usual derivative estimates in between (the time derivative of size for each ). Later we will prove the truncation estimate Assuming this estimate, then if we set , then using Lemma 9 in my paper and (6), ...