In this paper we revisit an open problem posed by Aldous on the max-entropy win-probability martingale: given two players of equal strength, such that the win-probability is a martingale diffusion, which of these processes has maximum entropy and hence gives the most excitement for the spectators?
Stationary points, also known as critical points, are points on a graph where the slope of the tangent line is equal to 0. To find stationary points in a function, you must first take the derivative of the function and set it equal to 0. Then, solve for the values of x that make ...
What Is a Derivative? In calculus, a derivative is the rate of change at a given point in a real-valued function. For example, the derivative f'(x) of function f() for variable x is the rate that the function f() changes at the point x. It might change a lot, e.g. be very...
Even when does pretend to be a Dirichlet character , we can still say something: if the limits exist for each (which can be guaranteed if we pass to a suitable subsequence), then is the uniform limit of periodic functions , each of which is –isotypic in the sense that whenever are ...
this - GR is genuinely complicated, but SR isn't really any harder than Euclidean geometry. If you can handle Pythagoras' Theorem then you have the mathematical chops to handle SR, with the caveat that you'd be limited to idealised toy problems unless you also knew the basics of calculus....
In the post “What is the nature of time?” the essence of time has been analyzed from the point of view of physics. Several conclusions have been drawn from it, which can be summarized in the following points: Time is an observable that emerges at the classical level from quantum reality...
until recently were difficult to bring about the kind of small group when it is useful for illuminating regularities in the educational bene ts in adopting an objectivesbased curriculum. Any more than watered down calculus, given that a large chunk of time to treat math anxiety. It took me as...
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What does a function is twice differentiable? The function f is twice differentiable on the open set S′⊆ S if it is differentiable at each point in S′. If it is twice differentiable then it is calledsmoothor C2. If f(x) is twice differentiable then. evaluated at . ...
This additional dimension is both a constraint and a structure that provides a source of additional information. A time series is a sequence of observations taken sequentially in time. — Page 1, Time Series Analysis: Forecasting and Control. For example: 1 2 3 Time #1, observation Time #2...