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A Karnaugh map (KM or K-map) is a diagram that can be used to simplify a Boolean algebra expression. Maurice Karnaugh introduced it in 1953 [1][2] as a refinement of Edward W. Veitch 's 1952 Veitch chart, [3][4] which itself was a rediscovery of Allan Marquand 's 1881 logical diagram[5][6] (aka. Marquand diagram[4]).
For any integer n, n ≡ 1 (mod 2) if and only if 3n + 1 ≡ 4 (mod 6). Equivalently, n − 1 / 3 ≡ 1 (mod 2) if and only if n ≡ 4 (mod 6). Conjecturally, this inverse relation forms a tree except for the 1–2–4 loop (the inverse of the 4–2–1 loop of the unaltered function f defined in the Statement of the problem section of ...
The Henry Classification System is a long-standing method by which fingerprints are sorted by physiological characteristics for one-to-many searching. Developed by Hem Chandra Bose, [1] Qazi Azizul Haque [2] and Sir Edward Henry in the late 19th century for criminal investigations in British India, [3] it was the basis of modern-day AFIS (Automated Fingerprint Identification System ...
These identities are useful whenever expressions involving trigonometric functions need to be simplified. An important application is the integration of non-trigonometric functions: a common technique involves first using the substitution rule with a trigonometric function , and then simplifying the resulting integral with a trigonometric identity.
The Quine–McCluskey algorithm (QMC), also known as the method of prime implicants, is a method used for minimization of Boolean functions that was developed by Willard V. Quine in 1952 [1][2] and extended by Edward J. McCluskey in 1956. [3]
Writing. Gregg shorthand is a system of phonography, or a phonemic writing system, which means it records the sounds of the speaker, not the English spelling. [4] For example, it uses the f stroke for the / f / sound in funnel, telephone, and laugh, [8] and omits all silent letters. [4] The system is written from left to right and the letters ...
[2] [3] Thus, in the expression 1 + 2 × 3, the multiplication is performed before addition, and the expression has the value 1 + (2 × 3) = 7, and not (1 + 2) × 3 = 9. When exponents were introduced in the 16th and 17th centuries, they were given precedence over both addition and multiplication and placed as a superscript to the right of ...
The Andre Walker Hair Typing System, also known as The Hair Chart, is a classification system for hair types created in the 1990s by Oprah Winfrey's stylist Andre Walker. [ 1 ] [ 2 ] [ 3 ] It was originally created to market Walker's line of hair care products but has since been widely adopted as a hair type classification system .