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17-letter words containing a, l, t, o, r, u

  • lumpenproletariat — the lowest level of the proletariat comprising unskilled workers, vagrants, and criminals and characterized by a lack of class identification and solidarity.
  • macro-linguistics — a field of study concerned with language in its broadest sense and including cultural and behavioral features associated with language.
  • macroevolutionary — Pertaining to, or as a result of macroevolution.
  • mensural notation — a system of musical notation of the 13th to the late 16th centuries, marked by the use of note symbols such as the longa and brevis, the absence of bar lines and ties, and the equivalence in value of one note to either two or three of the next smaller degree.
  • messier catalogue — a catalogue of 103 nonstellar objects, such as nebulae and galaxies, prepared in 1781–86. An object is referred to by its number in this catalogue, for example the Andromeda Galaxy is referred to as M31
  • metallofullerenes — Plural form of metallofullerene.
  • microencapsulated — Encapsulated using microencapsulation.
  • microevolutionary — Of or pertaining to microevolution.
  • micromanipulation — the technique of performing mechanical operations under high magnification through the use of specialized tools.
  • micromanipulators — Plural form of micromanipulator.
  • modulo arithmetic — modular arithmetic
  • molecular orbital — Physics, Chemistry. a wave function describing the state of a single electron in an atom (atomic orbital) or in a molecule (molecular orbital) the electron in that state.
  • monarch butterfly — a large, deep-orange butterfly, Danaus plexippus, having black and white markings, the larvae of which feed on the leaves of milkweed.
  • more than usually — You use more than usually to show that something shows even more of a particular quality than it normally does.
  • multi-directional — extending or operating in several directions at the same time; functioning or going in more than one direction: a multidirectional stereo speaker system.
  • multi-millionaire — a person who possesses a fortune that amounts to many millions of dollars, francs, etc.
  • multicollinearity — (statistics) A phenomenon in which two or more predictor variables in a multiple regression model are highly correlated, so that the coefficient estimates may change erratically in response to small changes in the model or data.
  • multigenerational — of or relating to several generations, as of a family, or society: a multigenerational novel covering 300 years.
  • multimillionaires — Plural form of multimillionaire.
  • mundane astrology — the astrology of worldly events, in contrast to the astrology of the individual: used especially in interpretations and forecasts involving politics, the stock market, weather, and disasters.
  • nasolacrimal duct — a membranous canal extending from the lacrimal sac to the nasal cavity, through which tears are discharged into the nose.
  • national security — defence of a country
  • natural deduction — (logic)   A set of rules expressing how valid proofs may be constructed in predicate logic. In the traditional notation, a horizontal line separates premises (above) from conclusions (below). Vertical ellipsis (dots) stand for a series of applications of the rules. "T" is the constant "true" and "F" is the constant "false" (sometimes written with a LaTeX \perp). "^" is the AND (conjunction) operator, "v" is the inclusive OR (disjunction) operator and "/" is NOT (negation or complement, normally written with a LaTeX \neg). P, Q, P1, P2, etc. stand for propositions such as "Socrates was a man". P[x] is a proposition possibly containing instances of the variable x, e.g. "x can fly". A proof (a sequence of applications of the rules) may be enclosed in a box. A boxed proof produces conclusions that are only valid given the assumptions made inside the box, however, the proof demonstrates certain relationships which are valid outside the box. For example, the box below labelled "Implication introduction" starts by assuming P, which need not be a true proposition so long as it can be used to derive Q. Truth introduction: - T (Truth is free). Binary AND introduction: ----------- | . | . | | . | . | | Q1 | Q2 | ----------- Q1 ^ Q2 (If we can derive both Q1 and Q2 then Q1^Q2 is true). N-ary AND introduction: ---------------- | . | .. | . | | . | .. | . | | Q1 | .. | Qn | ---------------- Q1^..^Qi^..^Qn Other n-ary rules follow the binary versions similarly. Quantified AND introduction: --------- | x . | | . | | Q[x] | --------- For all x . Q[x] (If we can prove Q for arbitrary x then Q is true for all x). Falsity elimination: F - Q (Falsity opens the floodgates). OR elimination: P1 v P2 ----------- | P1 | P2 | | . | . | | . | . | | Q | Q | ----------- Q (Given P1 v P2, if Q follows from both then Q is true). Exists elimination: Exists x . P[x] ----------- | x P[x] | | . | | . | | Q | ----------- Q (If Q follows from P[x] for arbitrary x and such an x exists then Q is true). OR introduction 1: P1 ------- P1 v P2 (If P1 is true then P1 OR anything is true). OR introduction 2: P2 ------- P1 v P2 (If P2 is true then anything OR P2 is true). Similar symmetries apply to ^ rules. Exists introduction: P[a] ------------- Exists x.P[x] (If P is true for "a" then it is true for all x). AND elimination 1: P1 ^ P2 ------- P1 (If P1 and P2 are true then P1 is true). For all elimination: For all x . P[x] ---------------- P[a] (If P is true for all x then it is true for "a"). For all implication introduction: ----------- | x P[x] | | . | | . | | Q[x] | ----------- For all x . P[x] -> Q[x] (If Q follows from P for arbitrary x then Q follows from P for all x). Implication introduction: ----- | P | | . | | . | | Q | ----- P -> Q (If Q follows from P then P implies Q). NOT introduction: ----- | P | | . | | . | | F | ----- / P (If falsity follows from P then P is false). NOT-NOT: //P --- P (If it is not the case that P is not true then P is true). For all implies exists: P[a] For all x . P[x] -> Q[x] ------------------------------- Q[a] (If P is true for given "a" and P implies Q for all x then Q is true for a). Implication elimination, modus ponens: P P -> Q ---------- Q (If P and P implies Q then Q). NOT elimination, contradiction: P /P ------ F (If P is true and P is not true then false is true).
  • natural harmonics — harmonics of a note produced on a stringed instrument by lightly touching an open or unstopped sounded string.
  • natural logarithm — a logarithm having e as a base. Symbol: ln.
  • natural resources — a naturally occurring source of wealth, as land or water.
  • natural selection — the process by which forms of life having traits that better enable them to adapt to specific environmental pressures, as predators, changes in climate, or competition for food or mates, will tend to survive and reproduce in greater numbers than others of their kind, thus ensuring the perpetuation of those favorable traits in succeeding generations.
  • natural-resources — a naturally occurring source of wealth, as land or water.
  • neuropathological — (medicine) Of, pertaining to, or arising from neuropathology, the pathology of nerve tissue.
  • non-instructional — the act or practice of instructing or teaching; education.
  • nonunderstandable — Not understandable.
  • nuclear radiation — Physics. radiation in the form of elementary particles emitted by an atomic nucleus, as alpha rays or gamma rays, produced by decay of radioactive substances or by nuclear fission.
  • nuclear threshold — the point in war at which a combatant brings nuclear weapons into use
  • numerical control — control of a machine tool, or other device used in a manufacturing process, by a computer, other control circuitry, or recorded digital commands.
  • old south arabian — a group of four closely related Semitic languages, having a writing system and used from about the eighth to the fifth centuries b.c. in the southern part of Arabia.
  • opportunistically — adhering to a policy of opportunism; practicing opportunism.
  • osculating circle — circle of curvature.
  • out of all reason — unreasonable
  • outline agreement — a contract, etc, setting out the preliminary terms or guidelines for an agreement; a preliminary agreement
  • palace revolution — a challenge to or overthrow of a sovereign or other leader by members of the ruling family or group.
  • parallel computer — parallel processor
  • particularization — to make particular.
  • peacock butterfly — a European nymphalid butterfly, Inachis io, having reddish-brown wings each marked with a purple eyespot
  • personal computer — a compact computer that uses a microprocessor and is designed for individual use, as by a person in an office or at home or school, for such applications as word processing, data management, financial analysis, or computer games. Abbreviation: PC.
  • personal equation — the tendency to personal bias that accounts for variation in interpretation or approach and for which allowance must be made.
  • photofluorography — photography of images produced by a fluoroscopic examination, used in x-ray examination of the lungs of large groups of people.
  • plateau's problem — the problem in the calculus of variations of finding the surface with the least area bounded by a given closed curve in space.
  • pocket calculator — an electronic calculator small enough to be carried on one's person.
  • political refugee — a person who has fled from a homeland because of political persecution.
  • polyvinyl butyral — a white, water-insoluble, polyvinyl acetal made with butyraldehyde, used chiefly as an interlayer in the manufacture of safety glass.
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