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In mathematics, the mice problem is a continuous pursuit–evasion problem in which a number of mice (or insects, dogs, missiles, etc.) are considered to be placed at the corners of a regular polygon. In the classic setup, each then begins to move towards its immediate neighbour (clockwise or anticlockwise).
First set up in 1977 by founder George Lenchner (1917–2006), MOEMS became a public competition in 1979. [2] Lenchner, who died after decades in service to the math education community, wrote several books on elementary problem solving used by many MOEMS teachers and students. His obituary was featured in the Sunday New York Times on May 14 ...
In nonparametric statistics, a kernel is a weighting function used in non-parametric estimation techniques. Kernels are used in kernel density estimation to estimate random variables' density functions, or in kernel regression to estimate the conditional expectation of a random variable.
The probability density function (PDF) for the Wilson score interval, plus PDF s at interval bounds. Tail areas are equal. Since the interval is derived by solving from the normal approximation to the binomial, the Wilson score interval ( , + ) has the property of being guaranteed to obtain the same result as the equivalent z-test or chi-squared test.
A skill score for a given underlying score is an offset and (negatively-) scaled variant of the underlying score such that a skill score value of zero means that the score for the predictions is merely as good as that of a set of baseline or reference or default predictions, while a skill score value of one (100%) represents the best possible ...
Any score that is 'finer' than the propensity score is a balancing score (i.e.: () = (()) for some function ). The propensity score is the coarsest balancing score function, as it takes a (possibly) multidimensional object ( X i ) and transforms it into one dimension (although others, obviously, also exist), while b ( X ) = X {\displaystyle b(X ...
For years, the idea of extending the training program for the U.S. IMO team was discussed. During the 2004–2005 school year, U.S. IMO team coach Zuming Feng directed the Winter Olympiad Training Program, utilizing the Art of Problem Solving (AoPS) site for discussion purposes. The program was short-lived, lasting only that year.
Since 7 October 2024, Python 3.13 is the latest stable release, and it and, for few more months, 3.12 are the only releases with active support including for bug fixes (as opposed to just for security) and Python 3.9, [55] is the oldest supported version of Python (albeit in the 'security support' phase), due to Python 3.8 reaching end-of-life.