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In statistical mechanics, the cluster expansion (also called the high temperature expansion or hopping expansion) is a power series expansion of the partition function of a statistical field theory around a model that is a union of non-interacting 0-dimensional field theories.
A typical application is the calculation of a thermodynamic potential from a partition function. These functions often contain terms with factorials n ! {\displaystyle n!} which scale as n 1 / 2 n n / e n {\displaystyle n^{1/2}n^{n}/e^{n}} ( Stirling's approximation ).
The variant in which all inputs are positive, and the target sum is exactly half the sum of all inputs, i.e., = (+ +). This special case of SSP is known as the partition problem . SSP can also be regarded as an optimization problem : find a subset whose sum is at most T , and subject to that, as close as possible to T .
The snowflake schema is in the same family as the star schema logical model. In fact, the star schema is considered a special case of the snowflake schema. The snowflake schema provides some advantages over the star schema in certain situations, including: Some OLAP multidimensional database modeling tools are optimized for snowflake schemas. [3]
Ashley Stobart, UK-based influencer, entrepreneur and co-host of the Nip Tuck podcast, is opening up about her controversial decision to get a facelift at 34.. Stobart tells PEOPLE that during her ...
In mathematics, Ramanujan's congruences are the congruences for the partition function p(n) discovered by Srinivasa Ramanujan: (+) (), (+) (), (+) ().In plain words, e.g., the first congruence means that If a number is 4 more than a multiple of 5, i.e. it is in the sequence
Sophie Hediger, who competed for Switzerland in the 2022 Winter Olympics, died on Monday in an avalanche while snowboarding in the Swiss Alps, the country’s ski federation said.
Editor's Note: The Miami Heat on Friday night suspended Jimmy Butler seven games "for multiple instances of conduct detrimental to the team" and said they will listen to trade offers. Jimmy Butler ...