## Configuration Space

##### October 21, 2020

The vector space defined by generalized coordinates. Example: The position of a particle in Euclidean 3-space is …

The vector space defined by generalized coordinates. Example: The position of a particle in Euclidean 3-space is …

If \(X\) and \(Y\) are sets, then we define the Cartesian Product \(X \times Y\) to be the collection of ordered pairs, … ...

Equality in Cardinality # Two sets \(X\) and \(Y\) are equal iff there exists a bijection \(f : X \longrightarrow Y\) …

source: Physicists Argue That Black Holes From the Big Bang Could Be the Dark Matter Primordial Black Holes # A … ...

High-level # The result of the marrying of QM with GR. (Initially, Hawking’s) calculations suggested that …

A binary relation \(R\) over sets \(X\) and \(Y\) is a subset of the cartesian product of \(X \times Y\). Where \(X\) is …

An abiotic process is a process which occurs via abiotic resources (non-living physical/chemical elements) in the …

An abiotic process is a process which occurs via abiotic resources (non-living physical/chemical elements) in the …

A function is bijective or “invertible” if it is Both one-to-one and onto (injective and surjective) In …

Concepts # Relations Cardinality Binary Relation Symmetric Relation Transitive Relation Cartesian Product Reflexive …