Origins and meanings of mathematical and scientific symbols, from the magnificient to the obscure. Equal sign. Double-harpoon. Integration sign. Infinity symbol.
and concepts that make sense together and may be encountered within and across a multitude of quite different situations. By their very nature, each idea can be perceived as a general notion dealing with a generalized content dimension. This implies that the categories or ideas cannot be sharply...
⇒ implies λ Lambda ⇔ equivalent μ Mu ↔ equivalent ν Nu ∀ for all ξ Xi ∃ there exists ο Omicron ∄ there does not exists π Pi ∴ therefore ρ Rho ∵ because / since σ Sigma ε epsilon τ Tau e e constant / Euler's number υ Upsilon y ' derivative φ Phi Y ...
This implies that scientific investigation aims at increased unity in a system of functional concepts, rather than at answering the substance-rooted question of what is . In his mature work, Philosophie der symbolischen Formen , Cassirer expands his inquiry to diverse notions of objects and ...
p ⇒ q means ‘p implies q’, that is, q is true whenever p is true. If p, q are equations or inequalities and p ⇒ q then all solutions of p are also solutions of q and q may have more solutions besides. (7) The symbol ∀ stands for ‘for all’ or ‘for every’ and...
In steady state, production and consumption of the internal compounds (aspartyl-phosphate, aspartate semialdehyde, homoserine, and P-homoserine) are balanced, which implies that all five reactions have the same velocity. The transposed regulation matrix W T reads AK ASD HDH HK TSY ·...
then the Schur lemma implies that the isomorphism is unique up to constant multiples. For each , we have an intertwining operator . So and , where are determined by the choice of the isomorphisms . Now it is easy to deduce that
"For every A with property x, there's a B with property y". How should I write that? I don't even know if there's a symbol for "with property". How about this? It's a bit general, but you could define sets X and Y consisting of elements having property x, y respectively. ...
Do not connect words with symbols. For example, "Ifxxis an function∈X∈X" is not good. Symbols for logical terms like∃∃(there exists),∀∀(for all),∧∧(and),∨∨(or),¬¬(not),⇒⇒(implies),⇔⇔(if and only if),∋∋(such that),∵∵(because) and∴∴(...
Robert G. Mortimer, in Mathematics for Physical Chemistry (Fourth Edition), 2013 13.1 Mathematical Operators A mathematical operator is a symbol that stands for carrying out one or more mathematical operations on some function. For example, we can use the symbol d/dx to stand for the operation...