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For instance, if the one solving the math word problem has a limited understanding of the language (English, Spanish, etc.) they are more likely to not understand what the problem is even asking. In Example 1 (above), if one does not comprehend the definition of the word "spent," they will misunderstand the entire purpose of the word problem.
is ambiguous [2] because it can be either an E or O proposition, thus requiring a context to determine the form; the standard form "No S is P" is unambiguous, so it is preferred. Proposition O also takes the forms "Sometimes S is not P." and "A certain S is not P." (literally the Latin 'Quoddam S nōn est P.')
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
The word problem for an algebra is then to determine, given two expressions (words) involving the generators and operations, whether they represent the same element of the algebra modulo the identities. The word problems for groups and semigroups can be phrased as word problems for algebras. [1]
[1] Exceptions to this include characters in certain writing systems that are also in use as political or religious symbols, such as 卐 (U+5350), the swastika encoded as a Chinese character (although it is also encoded as a religious symbol at U+0FD5); or ॐ (U+0950), the Om symbol which is, strictly speaking, a Devanagari ligature.
According to Chakhotin, his inspiration for the Three Arrows was a swastika that had been crossed over with chalk in Heidelberg. Per Chakhotin's argument, the Three Arrows and the swastika would always appear as if the three lines were imposed over the swastika rather than the other way around. [2]
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