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  2. Combinatorics on words - Wikipedia

    en.wikipedia.org/wiki/Combinatorics_on_words

    First and foremost, a word is basically a sequence of symbols, or letters, in a finite set. [1] One of these sets is known by the general public as the alphabet. For example, the word "encyclopedia" is a sequence of symbols in the English alphabet, a finite set of twenty-six letters. Since a word can be described as a sequence, other basic ...

  3. Combinatorial explosion - Wikipedia

    en.wikipedia.org/wiki/Combinatorial_explosion

    A class hierarchy in an object-oriented language can be thought of as a tree, with different types of object inheriting from their parents. If different classes need to be combined, such as in a comparison (like A < B) then the number of possible combinations which may occur explodes. If each type of comparison needs to be programmed then this ...

  4. Combinatorics - Wikipedia

    en.wikipedia.org/wiki/Combinatorics

    Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures.It is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics and from evolutionary biology to computer science.

  5. Word problem (mathematics education) - Wikipedia

    en.wikipedia.org/wiki/Word_problem_(mathematics...

    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.

  6. Permutation - Wikipedia

    en.wikipedia.org/wiki/Permutation

    A k-combination of a set S is a k-element subset of S: the elements of a combination are not ordered. Ordering the k-combinations of S in all possible ways produces the k-permutations of S. The number of k-combinations of an n-set, C(n,k), is therefore related to the number of k-permutations of n by: (,) = (,) (,) = _! =!

  7. Additive combinatorics - Wikipedia

    en.wikipedia.org/wiki/Additive_combinatorics

    Examples of this type include the Erdős–Heilbronn Conjecture (for a restricted sumset) and the Cauchy–Davenport Theorem. The methods used for tackling such questions often come from many different fields of mathematics, including combinatorics , ergodic theory , analysis , graph theory , group theory , and linear-algebraic and polynomial ...

  8. Apple to announce AI wall tablet as soon as March, Bloomberg ...

    www.aol.com/news/apple-announce-ai-wall-tablet...

    The AI wall tablet, which looks like a square iPad and is about the size of two iPhones side by side, has a roughly 6-inch screen and will be offered in silver and black colors, Bloomberg News said.

  9. Phonics - Wikipedia

    en.wikipedia.org/wiki/Phonics

    Reading by using phonics is often referred to as decoding words, sounding-out words or using print-to-sound relationships.Since phonics focuses on the sounds and letters within words (i.e. sublexical), [13] it is often contrasted with whole language (a word-level-up philosophy for teaching reading) and a compromise approach called balanced literacy (the attempt to combine whole language and ...

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