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Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011. In 2020, the company was acquired by American educational technology website Course Hero. [3] [4]
WolframAlpha then computes answers and relevant visualizations from a knowledge base of curated, structured data that come from other sites and books. It can respond to particularly phrased natural language fact-based questions. It displays its "Input interpretation" of such a question, using standardized phrases.
For example, a sample question is "(16 × 5) - (12 ÷ 4)" (Answer: 77). The winner should not receive any assistance (e.g. using a calculator, asking another individual to calculate the answer for the winner) in answering the STQ. Enforcement of these rules is not very stringent, especially for small prizes.
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In mathematics and physics, the term generator or generating set may refer to any of a number of related concepts. The underlying concept in each case is that of a smaller set of objects, together with a set of operations that can be applied to it, that result in the creation of a larger collection of objects, called the generated set .
Closer to the Collatz problem is the following universally quantified problem: Given g, does the sequence of iterates g k (n) reach 1, for all n > 0? Modifying the condition in this way can make a problem either harder or easier to solve (intuitively, it is harder to justify a positive answer but might be easier to justify a negative one).