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Given a measurable space (,) and a measure on that space, a set in is called an atom if > and for any measurable subset , either () = or () = (). [ 1 ] The equivalence class of A {\displaystyle A} is defined by [ A ] := { B ∈ Σ : μ ( A Δ B ) = 0 } , {\displaystyle [A]:=\{B\in \Sigma :\mu (A\Delta B)=0\},} where Δ {\displaystyle \Delta ...
In the mathematical field of order theory, an element a of a partially ordered set with least element 0 is an atom if 0 < a and there is no x such that 0 < x < a. Equivalently, one may define an atom to be an element that is minimal among the non-zero elements, or alternatively an element that covers the least element 0 .
The ordered field of real algebraic numbers is the unique atomic model of the theory of real closed fields.; Any finite model is atomic. A dense linear ordering without endpoints is atomic.
Andrew Mitchell Uniacke (9 November 1808 – 26 July 1895) was a lawyer, banker and politician in Nova Scotia. He represented Halifax township in the Nova Scotia House of Assembly from 1843 to 1847. He was born in Halifax , the son of Richard John Uniacke (lawyer) and Eliza Newton.
In the vortex theory of the atom, a chemical atom is modelled by such a vortex in the aether. Knots can be tied in the core of such a vortex, leading to the hypothesis that each chemical element corresponds to a different kind of knot. The simple toroidal vortex, represented by the circular "unknot" 0 1, was thought to represent hydrogen.
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Quantum mechanics is a fundamental theory that describes the behavior of nature at and below the scale of atoms. [2]: 1.1 It is the foundation of all quantum physics, which includes quantum chemistry, quantum field theory, quantum technology, and quantum information science.
(Top) Diamond crystal structure, depicting an atomic spacing of 0.154 nm.(Bottom) Graphite crystal structure, depicting an atomic spacing of 0.142 nm. Atomic spacing refers to the distance between the nuclei of atoms in a material.