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  2. Summation by parts - Wikipedia

    en.wikipedia.org/wiki/Summation_by_parts

    The formula for an integration by parts is () ′ = [() ()] ′ ().. Beside the boundary conditions, we notice that the first integral contains two multiplied functions, one which is integrated in the final integral (′ becomes ) and one which is differentiated (becomes ′).

  3. Sumset - Wikipedia

    en.wikipedia.org/wiki/Sumset

    where is the set of square numbers. A subject that has received a fair amount of study is that of sets with small doubling , where the size of the set A + A {\displaystyle A+A} is small (compared to the size of A {\displaystyle A} ); see for example Freiman's theorem .

  4. Tagged union - Wikipedia

    en.wikipedia.org/wiki/Tagged_union

    The sum type corresponds to intuitionistic logical disjunction under the Curry–Howard correspondence. An enumerated type can be seen as a degenerate case: a tagged union of unit types. It corresponds to a set of nullary constructors and may be implemented as a simple tag variable, since it holds no additional data besides the value of the tag.

  5. Subset sum problem - Wikipedia

    en.wikipedia.org/wiki/Subset_sum_problem

    The subset sum problem (SSP) is a decision problem in computer science. In its most general formulation, there is a multiset of integers and a target-sum , and the question is to decide whether any subset of the integers sum to precisely . [1] The problem is known to be NP-complete.

  6. 3-partition problem - Wikipedia

    en.wikipedia.org/wiki/3-partition_problem

    Conversely, given a 3-partition of B, the sum of each 3-set is a multiple of 4, so it must contain either two regular items and one pairing item, or two pairing items and one filler item: If a 3-set contains two pairing items u ij , u kl and one filler item, then the sum of the two pairing items must be 44T+4 = 4*(5T+6T)+2+2, so they must have ...

  7. The Secret to Making Monday Your Most Productive Day of ... - AOL

    www.aol.com/secret-making-monday-most-productive...

    Set a timer to stay on track, close unnecessary tabs, turn off notifications and silence your phone to eliminate distractions. AndreyPopov - Getty Images. Or start with the smallest task.

  8. Erdős–Szemerédi theorem - Wikipedia

    en.wikipedia.org/wiki/Erdős–Szemerédi_theorem

    The sum-product conjecture informally says that one of the sum set or the product set of any set must be nearly as large as possible. It was originally conjectured by Erdős in 1974 to hold whether A is a set of integers, reals, or complex numbers. [3] More precisely, it proposes that, for any set A ⊂ ℂ, one has

  9. Expert Trainer Reveals How to Stop Puppies From Having ...

    www.aol.com/expert-trainer-reveals-stop-puppies...

    Incomplete Potty Training. At the age of 3 months, puppies are still considered the equivalent of infants. Consider that their small bodies and minds are in the process of developing.