This is a review of the issue of randomness in quantum mechanics, with special emphasis on its ambiguity; for example, randomness has different antipodal relationships to determinism, computability, and compressibility. Following a (Wittgensteinian) philosophical discussion of randomness in general, I ar...
(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, ...
If the equals sign is only ever seen after the operation and before the answer, then it’s not surprising that children associate “=” with “the answer goes here”. Instead, teachers should vary the structure of their questions, moving the equals sign around, suggests Trundley. For ...
I have been collaborating for many years with a long-time personal friend and polymath, Tanya Klowden, on a popular book on astronomy tentatively entitled “Climbing the cosmic distance ladder“, which was initially based on a public lecture I have given on this topic for many years, but whi...
Suppose that two fair dice are tossed. What is the probability that the sum equals 10 given that it exceeds 8? Problems based on Independent Events: Events are independent if the conditional probability is equal to the probability of that event happen...
Answer to: If you toss two dice and add the numbers facing up, what is the probability that the sum of the dice equals 5 or the sum of the dice is...
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a Pair of String Ping Pong Game Using Turtle in Python Python Function to Display Calendar Python Program for Calculating the Sum of Squares of First n Natural Numbers Python Program for How to Check if a Given Number is Fibonacci Number or Not randint() Function in Python Visualize Tiff ...
Let . Using the definition of multiplication, we can create a flat connection on the -simplex which equals on , is equivalent to on , and is equivalent to on . We then glue on the edge and extend the flat connection to be equivalent to on . Using Grothendieck’s axiom and the ...