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M. next
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What is the physical meaning of Jacobi identity for Poisson brackets? When does it come in handy?
It goes as follows: {f,{g,h}}+{g,{h,f}}+{h,{f,g}}=0
Thanks.
It goes as follows: {f,{g,h}}+{g,{h,f}}+{h,{f,g}}=0
Thanks.
The meaning of an identity in science depends on the context in which it is used. In general, an identity is a statement that is always true, regardless of the values of its variables. It can also refer to a unique characteristic or quality that defines an object or concept.
Identities play a crucial role in scientific understanding by providing a foundation of fundamental truths that can be used to derive and prove other scientific theories and equations. They also help to organize and categorize information, making it easier to analyze and interpret data.
In most cases, identities do not change over time. They are considered to be constant and unchanging. However, in some cases, new evidence or advancements in scientific understanding may lead to revisions or modifications of previously established identities.
Identities and equations are similar in that they both represent relationships between variables. However, identities are always true, while equations may only be true for specific values of the variables. Additionally, identities are often used as the building blocks for creating equations and proving scientific concepts.
Identities are considered to be objective, meaning they are based on verifiable facts and evidence. They are not influenced by personal opinions or biases. However, the interpretation and application of identities may be subjective, as different scientists may have different perspectives and approaches to utilizing them in their research.