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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:
Briefly, if one expresses a partial sum of this series as a function of the penultimate term, one obtains either 4m + 1 / 3 or −4n + 1 / 3 . The mean of these values is 2m − 2n + 1 / 3 , and assuming that m = n at infinity yields 1 / 3 as the value of the series. Leibniz's intuition prevented him from straining ...
This expression says that the output function f will be 1 for the minterms ,,,, and (denoted by the 'm' term) and that we don't care about the output for and combinations (denoted by the 'd' term). The summation symbol ∑ {\displaystyle \sum } denotes the logical sum (logical OR, or disjunction) of all the terms being summed over.
The sum is taken over all combinations of nonnegative integer indices k 1 through k m such that the sum of all k i is n. That is, for each term in the expansion, the exponents of the x i must add up to n. [1] [a] In the case m = 2, this statement reduces to that of the binomial theorem. [1]
The idea becomes clearer by considering the general series 1 − 2x + 3x 2 − 4x 3 + 5x 4 − 6x 5 + &c. that arises while expanding the expression 1 ⁄ (1+x) 2, which this series is indeed equal to after we set x = 1.
A 4-center 2-electron (4c–2e) bond is a type of chemical bond in which four atoms share two electrons in bonding, with a net bond order of 1 ⁄ 2. This type of bonding differs from the usual covalent bond, which involves two atoms sharing two electrons (2c–2e bonding). Four-center two-electron bonding is postulated in certain cluster ...
3-Methoxymethcathinone (3-MeOMC), also known as meta-methoxymethcathinone (m-MeOMC), is a designer drug of the substituted cathinone family described as a stimulant. [ 3 ] [ 2 ] [ 1 ] Similarly to other cathinones, it acts as a monoamine releasing agent , including of serotonin , dopamine , and norepinephrine .
2C-G-1: 2C-G-2 CAS: 2888537-48-0 . The synthesis of this compound has not been reported, but it is described prophetically in WO2022271982 2C-G-2: 2C-G-3 CAS: 207740-19-0 . Dosage: 16–25 mg Duration: 12–24 hours Effects: Some visual effects. General euphoria with an underlying sense of paranoia. 2C-G-3: 2C-G-4 CAS: 952006-59-6 . Synthesized ...