![]() ![]() ![]() There are only 10 other bugfixes on top of 3.10.3 in this release. This is a special release that fixes a regression introduced by BPO 46968 which caused Python to no longer build on Red Hat Enterprise Linux 6. Python 3.10.4 is the newest major release of the Python programming language, and it contains many new features and optimizations. Thus, the non-squeezing theorem tells us that, although symplectic transformations are volume-preserving, it is much more restrictive for a transformation to be symplectic than it is to be volume-preserving.This is the fourth maintenance release of Python 3.10 One can easily embed a ball of any radius into a cylinder of any other radius by a volume-preserving transformation: just picture squeezing the ball into the cylinder (hence, the name non-squeezing theorem). One easy consequence of a transformation being symplectic is that it preserves volume. The theorem is important because formerly very little was known about the geometry behind symplectic maps. The theorem states that one cannot embed a ball into a cylinder via a symplectic map unless the radius of the ball is less than or equal to the radius of the cylinder. It was first proven in 1985 by Mikhail Gromov. The non-squeezing theorem, also called Gromov's non-squeezing theorem, is one of the most important theorems in symplectic geometry. ![]()
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