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The "nine dots" puzzle. The puzzle asks to link all nine dots using four straight lines or fewer, without lifting the pen. The nine dots puzzle is a mathematical puzzle whose task is to connect nine squarely arranged points with a pen by four (or fewer) straight lines without lifting the pen or retracing any lines.
Indole is an organic compound with the formula C 6 H 4 CCNH 3. Indole is classified as an aromatic heterocycle. It has a bicyclic structure, consisting of a six-membered benzene ring fused to a five-membered pyrrole ring. Indoles are derivatives of indole where one or more of the hydrogen atoms have been replaced by substituent groups.
[4] multinomial distribution: there are balls of more than two colors. Each time a ball is extracted, it is returned before drawing another ball. [3] This is also known as 'Balls into bins'. negative binomial distribution: number of draws before a certain number of failures (incorrectly colored draws) occurs.
Indole test positive: appearance of pink layer at top (e.g. Escherichia coli) Like many biochemical tests on bacteria, results of an indole test are indicated by a change in color following a reaction with an added reagent. Pure bacterial culture must be grown in sterile tryptophan or peptone broth for 24–48 hours before performing the test.
The Bertrand paradox is a problem within the classical interpretation of probability theory. Joseph Bertrand introduced it in his work Calcul des probabilités (1889) [1] as an example to show that the principle of indifference may not produce definite, well-defined results for probabilities if it is applied uncritically when the domain of possibilities is infinite.
Given a hexagon A 1 A 2 A 3 A 4 A 5 A 6 with equilateral triangles constructed on the sides, either inwardly or outwardly, and the apexes of the equilateral triangles labelled B i. If G 1 , G 3 , G 5 are the respective centroids of B 6 B 1 B 2 , B 2 B 3 B 4 , B 4 B 5 B 6 , then G 1 , G 3 , G 5 form an equilateral triangle.
para-Dimethylaminobenzaldehyde is an organic compound containing amine and aldehyde moieties which is used in Ehrlich's reagent and Kovac's reagent to test for indoles.The carbonyl group typically reacts with the electron rich 2-position of the indole but may also react at the C-3 or N-1 positions. [2]
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