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  2. Twelvefold way - Wikipedia

    en.wikipedia.org/wiki/Twelvefold_way

    The functions are subject to one of the three following restrictions: No condition: each a in N may be sent by f to any b in X, and each b may occur multiple times. f is injective: each value () for a in N must be distinct from every other, and so each b in X may occur at most once in the image of f.

  3. Nmap - Wikipedia

    en.wikipedia.org/wiki/Nmap

    For instance, Nmap 3.50 specifically revoked the license of SCO Group to distribute Nmap software because of their views on the SCO-Linux controversies. [ 41 ] Starting with version 7.90, Nmap transitions to a new custom license NPSL, dual-licensing versions 7.90, 7.91, and 7.92 under both old and new licenses. [ 42 ]

  4. Multilinear algebra - Wikipedia

    en.wikipedia.org/wiki/Multilinear_algebra

    Multilinear algebra is the study of functions with multiple vector-valued arguments, with the functions being linear maps with respect to each argument. It involves concepts such as matrices, tensors, multivectors, systems of linear equations, higher-dimensional spaces, determinants, inner and outer products, and dual spaces.

  5. Iterated function - Wikipedia

    en.wikipedia.org/wiki/Iterated_function

    The sequence of functions f n is called a Picard sequence, [8] [9] named after Charles Émile Picard. For a given x in X, the sequence of values f n (x) is called the orbit of x. If f n (x) = f n+m (x) for some integer m > 0, the orbit is called a periodic orbit. The smallest such value of m for a given x is called the period of the orbit.

  6. Idle scan - Wikipedia

    en.wikipedia.org/wiki/Idle_scan

    nmap -v -O -sS 192.168.1.0/24. This tells nmap to do a ping sweep and show all hosts that are up in the given IP range. Once you have found a zombie, next you would send the spoofed packets: nmap -P0 -p <port> -sI <zombie IP> <target IP> The images juxtaposition show both of these stages in a successful scenario.

  7. Function composition - Wikipedia

    en.wikipedia.org/wiki/Function_composition

    Compositions of two real functions, the absolute value and a cubic function, in different orders, show a non-commutativity of composition. The functions g and f are said to commute with each other if g ∘ f = f ∘ g. Commutativity is a special property, attained only by particular functions, and often in special circumstances.

  8. Estimation lemma - Wikipedia

    en.wikipedia.org/wiki/Estimation_lemma

    In mathematics the estimation lemma, also known as the ML inequality, gives an upper bound for a contour integral. If f is a complex -valued, continuous function on the contour Γ and if its absolute value | f ( z ) | is bounded by a constant M for all z on Γ , then

  9. Currying - Wikipedia

    en.wikipedia.org/wiki/Currying

    The "Curry" in "Currying" is a reference to logician Haskell Curry, who used the concept extensively, but Moses Schönfinkel had the idea six years before Curry. [10] The alternative name "Schönfinkelisation" has been proposed. [15]