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Strict weak orders are very closely related to total preorders or (non-strict) weak orders, and the same mathematical concepts that can be modeled with strict weak orderings can be modeled equally well with total preorders. A total preorder or weak order is a preorder in which any two elements are comparable. [7]
≤ 3 × 10 −12: from decay solid 94 Pu Plutonium: Pluto, dwarf planet, then considered a planet f-block groups 7 f-block [244] 19.85: 912.5: 3501 – 1.28: ≤ 3 × 10 −11: from decay solid 95 Am Americium: Americas, where the element was first synthesized, by analogy with its homolog europium: f-block groups 7 f-block [243] 12: 1449: 2880 ...
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Total orders, orderings that specify, for every two distinct elements, which one is less than the other; Weak orders, generalizations of total orders allowing ties (represented either as equivalences or, in strict weak orders, as transitive incomparabilities) Well-orders, total orders in which every non-empty subset has a least element
A mnemonic is a memory aid used to improve long-term memory and make the process of consolidation easier. Many chemistry aspects, rules, names of compounds, sequences of elements, their reactivity, etc., can be easily and efficiently memorized with the help of mnemonics.
118 chemical elements have been identified and named officially by IUPAC. A chemical element, often simply called an element, is a type of atom which has a specific number of protons in its atomic nucleus (i.e., a specific atomic number, or Z). [1]
If (W, S) is a Coxeter system with generators S, then the Bruhat order is a partial order on the group W.The definition of Bruhat order relies on several other definitions: first, reduced word for an element w of W is a minimum-length expression of w as a product of elements of S, and the length ℓ(w) of w is the length of its reduced words.
This table lists only the occurrences in compounds and complexes, not pure elements in their standard state or allotropes. Noble gas +1 Bold values are main oxidation states