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Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...
The graph of a function with a horizontal (y = 0), vertical (x = 0), and oblique asymptote (purple line, given by y = 2x) A curve intersecting an asymptote infinitely many times
This is not sharp; the gap between the functions is everywhere at least 1. Among the exponential functions of the form α x, setting α = e 2/e = 2.0870652... results in a sharp upper bound; the slightly smaller choice α = 2 fails to produce an upper bound, since then α 3 = 8 < 3 2. In applied fields the word "tight" is often used with the ...
An inequality is said to be sharp if it cannot be relaxed and still be valid in general. Formally, a universally quantified inequality φ is called sharp if, for every valid universally quantified inequality ψ, if ψ ⇒ φ holds, then ψ ⇔ φ also holds. For instance, the inequality ∀a ∈ R. a 2 ≥ 0 is sharp, whereas the inequality ∀ ...
In computer science, the Sharp Satisfiability Problem (sometimes called Sharp-SAT, #SAT or model counting) is the problem of counting the number of interpretations that satisfy a given Boolean formula, introduced by Valiant in 1979. [1]
A programmer may design the computation so that intermediate results stay within specified precision boundaries. Some programming languages such as Lisp , Python , Perl , Haskell , Ruby and Raku use, or have an option to use, arbitrary-precision numbers for all integer arithmetic.
The market clearly bought the view that the real rate would stay low for years to come, justifying high PE multiples. As of November 18, the PE on the S&P 500 stands at 29.4, based on the trailing ...
Ages: 3+. After polling our on-staff parents, the choice is clear — the Toniebox is the hottest toy of 2024. It's a colorful audio player that plays stories once a character, or Tonie, is placed ...