0%

17-letter words containing c, u, t, d, e, a

  • 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).
  • nuclear deterrent — a country's nuclear weapons viewed as a deterrent to other countries from attacking
  • 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
  • nursery education — education provided at a school for young children, usually from three to five years old
  • outside broadcast — An outside broadcast is a radio or television programme that is not recorded or filmed in a studio, but in another building or in the open air.
  • potassium cyanide — a white, granular, water-soluble, poisonous powder, KCN, having a faint almondlike odor, used chiefly in metallurgy and photography.
  • primary education — junior, elementary schooling
  • private education — education provided by a private individual or organization, rather than by the state or a public body
  • product placement — Product placement is a form of advertising in which a company has its product placed where it can be clearly seen during a film or television programme.
  • production values — the quality of a media production (such as a film) in regards to elements such as colours, quality, style, etc
  • pseudo-democratic — pertaining to or of the nature of democracy or a democracy.
  • pseudo-historical — of, pertaining to, treating, or characteristic of history or past events: historical records; historical research.
  • pseudo-humanistic — a person having a strong interest in or concern for human welfare, values, and dignity.
  • pseudo-moralistic — a person who teaches or inculcates morality.
  • psychoeducational — designating or of psychological methods, as intelligence tests, used in evaluating learning ability
  • quadratic residue — a number x that is relatively prime to a given integer y and for which a number z exists whose square gives the same remainder as x when divided by y.
  • quattuordecillion — a cardinal number represented in the U.S. by 1 followed by 45 zeros, and in Great Britain by 1 followed by 84 zeros.
  • quick on the draw — having fast reflexes
  • radiative capture — the capture of a particle, as a neutron, by a nucleus, inducing the emission of electromagnetic radiation, as a gamma ray.
  • recreation ground — an open space for public recreation, esp one in a town, with swings and slides, etc, for children
  • recreational drug — drug taken for pleasure
  • reduction formula — a formula, such as sin (90° ± A) = cos A, expressing the values of a trigonometric function of any angle greater than 90° in terms of a function of an acute angle
  • regulated tenancy — (in Britain) the letting of a dwelling by a nonresident private landlord, usually at a registered fair rent, from which the landlord cannot evict the tenant without a possession order from a court
  • rheumatic disease — any of a group of diseases of the connective tissue, of uncertain causes, including rheumatoid arthritis, gout, and rheumatic fever
  • rheumatoid factor — an antibody that is found in the blood of many persons afflicted with rheumatoid arthritis and that reacts against globulins in the blood.
  • second lieutenant — an Army, Air Force, or Marine officer of the lowest commissioned rank. Compare ensign (def 4).
  • secondary product — a product that is not the main product of an industry; a by-product
  • secondary quality — one of the qualities attributed by the mind to an object perceived, such as color, temperature, or taste.
  • securities dealer — a person who buys and sells securities
  • semi-manufactured — the making of goods or wares by manual labor or by machinery, especially on a large scale: the manufacture of television sets.
  • shouting distance — hailing distance.
  • shuttle diplomacy — diplomatic negotiations carried out by a mediator who travels back and forth between the negotiating parties.
  • sodium bichromate — a red or orange crystalline, water-soluble solid, Na 2 Cr 2 O 7 ⋅2H 2 O, used as an oxidizing agent in the manufacture of dyes and inks, as a corrosion inhibitor, a mordant, a laboratory reagent, in the tanning of leather, and in electroplating.
  • sodium dichromate — a red or orange crystalline, water-soluble solid, Na 2 Cr 2 O 7 ⋅2H 2 O, used as an oxidizing agent in the manufacture of dyes and inks, as a corrosion inhibitor, a mordant, a laboratory reagent, in the tanning of leather, and in electroplating.
  • sodium salicylate — a white, crystalline compound, C 7 H 5 NaO 3 , soluble in water, alcohol, and glycerol: used in medicine as an analgesic, antipyretic, and anti-inflammatory, and as a preservative.
  • sound effects man — a man who produces sounds artificially or reproduces them from a recording, etc, to create a theatrical effect, such as the bringing together of two halves of a hollow coconut shell to simulate a horse's gallop. Such sound effects are used in plays, films, etc
  • sound spectrogram — a graphic representation, produced by a sound spectrograph, of the frequency, intensity, duration, and variation with time of the resonance of a sound or series of sounds.
  • special education — education that is modified or particularized for those with singular needs, as disabled or maladjusted people, slow learners, or gifted children.
  • st. vitus's dance — St. Vitus's dance.
  • stand-up comedian — performer: tells jokes
  • stannous chloride — a white, crystalline, water-soluble solid, SnCl 2 ⋅2H 2 O, used chiefly as a reducing and tinning agent, and as a mordant in dyeing with cochineal.
  • sum and substance — main idea, gist, or point: the sum and substance of an argument.
  • take into custody — to arrest
  • teacher education — training to become a teacher, usually at an institution of higher education
  • therapeutic index — the ratio between the dosage of a drug that causes a lethal effect and the dosage that causes a therapeutic effect.
  • thousandths-place — last in order of a series of a thousand.
  • thread escutcheon — a raised metal rim around a keyhole.
  • trucial sheikdoms — an independent federation in E Arabia, formed in 1971, now comprising seven emirates on the S coast (formerly, Pirate Coast or Trucial Coast) of the Persian Gulf, formerly under British protection: Abu Dhabi, Dubai, Sharjah, Ajman, Umm al-Qaiwain, Ras al-Khaimah (joined 1972), and Fujairah. About 32,300 sq. mi. (83,657 sq. km). Capital: Abu Dhabi. Abbreviation: U.A.E.
  • undercompensation — to compensate or pay less than is fair, customary, or expected.
Was this page helpful?
Yes No
Thank you for your feedback! Tell your friends about this page
Tell us why?