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A necessary (but not sufficient) condition for solvability is that n is not divisible by 4 or by a prime of form 4k + 3. [note 3] Thus, for example, x 2 − 3 y 2 = −1 is never solvable, but x 2 − 5 y 2 = −1 may be. [27] The first few numbers n for which x 2 − n y 2 = −1 is solvable are with only one trivial solution: 1
Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:
CH 3 [CH(CH) 3] 2 C 2 H 4 COOH 5,5-dimethylhexanoic acid (CH 3) 3 CC 3 H 6 COOH 2-ethanehexanoic acid C 4 H 9 CH(C 2 H 5)COOH 3-ethanehexanoic acid C 3 H 7 CH(C 2 H 5 ...
2,4,5-Trimethoxyphenethylamine (2,4,5-TMPEA or TMPEA-2), also known as 2C-O or 2C-OMe, or is a phenethylamine of the 2C family and was first synthesized by Jansen in 1931. [1] It is a positional isomer of the drug mescaline (3,4,5-tri methoxy ).
[5] lg – common logarithm (log 10) or binary logarithm (log 2). LHS – left-hand side of an equation. Li – offset logarithmic integral function. li – logarithmic integral function or linearly independent. lim – limit of a sequence, or of a function. lim inf – limit inferior. lim sup – limit superior. LLN – law of large numbers.
Unlike many other phenethylamines, 2C drugs, including 2C-C, 2C-D, 2C-E, 2C-I, and 2C-T-2 among others, are inactive as monoamine releasing agents and reuptake inhibitors. [ 6 ] [ 11 ] [ 8 ] [ 7 ] [ 10 ] Most of the 2C drugs are agonists of the rat and mouse trace amine-associated receptor 1 (TAAR1).
For instance, to solve the inequality 4x < 2x + 1 ≤ 3x + 2, it is not possible to isolate x in any one part of the inequality through addition or subtraction. Instead, the inequalities must be solved independently, yielding x < 1 / 2 and x ≥ −1 respectively, which can be combined into the final solution −1 ≤ x < 1 / 2 .
The monomer BH 3 is unstable since the boron atom has an empty p-orbital. A B−H−B 3-center-2-electron bond is formed when a boron atom shares electrons with a B−H bond on another boron atom. The two electrons (corresponding to one bond) in a B−H−B bonding molecular orbital are spread out across three internuclear spaces.