Definition of Functio. Meaning of Functio. Synonyms of Functio

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Definition of Functio

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Calculus of functions
Calculus Cal"cu*lus, n.; pl. Calculi. [L, calculus. See Calculate, and Calcule.] 1. (Med.) Any solid concretion, formed in any part of the body, but most frequent in the organs that act as reservoirs, and in the passages connected with them; as, biliary calculi; urinary calculi, etc. 2. (Math.) A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation. Barycentric calculus, a method of treating geometry by defining a point as the center of gravity of certain other points to which co["e]fficients or weights are ascribed. Calculus of functions, that branch of mathematics which treats of the forms of functions that shall satisfy given conditions. Calculus of operations, that branch of mathematical logic that treats of all operations that satisfy given conditions. Calculus of probabilities, the science that treats of the computation of the probabilities of events, or the application of numbers to chance. Calculus of variations, a branch of mathematics in which the laws of dependence which bind the variable quantities together are themselves subject to change. Differential calculus, a method of investigating mathematical questions by using the ratio of certain indefinitely small quantities called differentials. The problems are primarily of this form: to find how the change in some variable quantity alters at each instant the value of a quantity dependent upon it. Exponential calculus, that part of algebra which treats of exponents. Imaginary calculus, a method of investigating the relations of real or imaginary quantities by the use of the imaginary symbols and quantities of algebra. Integral calculus, a method which in the reverse of the differential, the primary object of which is to learn from the known ratio of the indefinitely small changes of two or more magnitudes, the relation of the magnitudes themselves, or, in other words, from having the differential of an algebraic expression to find the expression itself.
Circular functions
Circular Cir"cu*lar, a. [L. circularis, fr. circulus circle: cf. F. circulaire. See Circle.] 1. In the form of, or bounded by, a circle; round. 2. repeating itself; ending in itself; reverting to the point of beginning; hence, illogical; inconclusive; as, circular reasoning. 3. Adhering to a fixed circle of legends; cyclic; hence, mean; inferior. See Cyclic poets, under Cyclic. Had Virgil been a circular poet, and closely adhered to history, how could the Romans have had Dido? --Dennis. 4. Addressed to a circle, or to a number of persons having a common interest; circulated, or intended for circulation; as, a circular letter. A proclamation of Henry III., . . . doubtless circular throughout England. --Hallam. 5. Perfect; complete. [Obs.] A man so absolute and circular In all those wished-for rarities that may take A virgin captive. --Massinger. Circular are, any portion of the circumference of a circle. Circular cubics (Math.), curves of the third order which are imagined to pass through the two circular points at infinity. Circular functions. (Math.) See under Function. Circular instruments, mathematical instruments employed for measuring angles, in which the graduation extends round the whole circumference of a circle, or 360[deg]. Circular lines, straight lines pertaining to the circle, as sines, tangents, secants, etc. Circular note or letter. (a) (Com.) See under Credit. (b) (Diplomacy) A letter addressed in identical terms to a number of persons. Circular numbers (Arith.), those whose powers terminate in the same digits as the roots themselves; as 5 and 6, whose squares are 25 and 36. --Bailey. --Barlow. Circular points at infinity (Geom.), two imaginary points at infinite distance through which every circle in the plane is, in the theory of curves, imagined to pass. Circular polarization. (Min.) See under Polarization. Circular or Globular sailing (Naut.), the method of sailing by the arc of a great circle. Circular saw. See under Saw.
Defunction
Defunction De*func"tion, n. [L. defunctio performance, death.] Death. [Obs.] After defunction of King Pharamond. --Shak.
Discontinuous function
Discontinuous Dis`con*tin"u*ous, a. 1. Not continuous; interrupted; broken off. A path that is zigzag, discontinuous, and intersected at every turn by human negligence. --De Quincey. 2. Exhibiting a dissolution of continuity; gaping. ``Discontinuous wound.' --Milton. Discontinuous function (Math.), a function which for certain values or between certain values of the variable does not vary continuously as the variable increases. The discontinuity may, for example, consist of an abrupt change in the value of the function, or an abrupt change in its law of variation, or the function may become imaginary.
Elliptic function
Elliptic El*lip"tic, Elliptical El*lip"tic*al, a. [Gr. ?: cf. F. elliptique. See Ellipsis.] 1. Of or pertaining to an ellipse; having the form of an ellipse; oblong, with rounded ends. The planets move in elliptic orbits. --Cheyne. 2. Having a part omitted; as, an elliptical phrase. Elliptic chuck. See under Chuck. Elliptic compasses, an instrument arranged for drawing ellipses. Elliptic function. (Math.) See Function. Elliptic integral. (Math.) See Integral. Elliptic polarization. See under Polarization.
Explicit function
Explicit Ex*plic"it, a. [L. explicitus; p. p. of explicare to unfold: cf. F. explicite. See Explicate, Exploit.] 1. Not implied merely, or conveyed by implication; distinctly stated; plain in language; open to the understanding; clear; not obscure or ambiguous; express; unequivocal; as, an explicit declaration. The language of the charter was too explicit to admit of a doubt. --Bancroft. 2. Having no disguised meaning or reservation; unreserved; outspoken; -- applied to persons; as, he was earnest and explicit in his statement. Explicit function. (Math.) See under Function. Syn: Express; clear; plain; open; unreserved; unambiguous. Usage: Explicit, Express. Explicit denotes a setting forth in the plainest language, so that the meaning can not be misunderstood; as, an explicit promise. Express is stronger than explicit: it adds force to clearness. An express promise or engagement is not only unambiguous, but stands out in bold relief, with the most binding hold on the conscience. An explicit statement; a clear and explicit notion; explicit direction; no words can be more explicit. An explicit command; an express prohibition. ``An express declaration goes forcibly and directly to the point. An explicit declaration leaves nothing ambiguous.' --C. J. Smith.
force function
Potential Po*ten"tial, n. 1. Anything that may be possible; a possibility; potentially. --Bacon. 2. (Math.) In the theory of gravitation, or of other forces acting in space, a function of the rectangular coordinates which determine the position of a point, such that its differential coefficients with respect to the co["o]rdinates are equal to the components of the force at the point considered; -- also called potential function, or force function. It is called also Newtonian potential when the force is directed to a fixed center and is inversely as the square of the distance from the center. 3. (Elec.) The energy of an electrical charge measured by its power to do work; hence, the degree of electrification as referred to some standard, as that of the earth; electro-motive force.
function
Fluent Flu"ent, n. 1. A current of water; a stream. [Obs.] 2. [Cf. F. fluente.] (Math.) A variable quantity, considered as increasing or diminishing; -- called, in the modern calculus, the function or integral.
Functional
Functional Func"tion*al, a. 1. Pertaining to, or connected with, a function or duty; official. 2. (Physiol.) Pertaining to the function of an organ or part, or to the functions in general. Functional disease (Med.), a disease of which the symptoms cannot be referred to any appreciable lesion or change of structure; the derangement of an organ arising from a cause, often unknown, external to itself opposed to organic disease, in which the organ itself is affected.
Functional disease
Functional Func"tion*al, a. 1. Pertaining to, or connected with, a function or duty; official. 2. (Physiol.) Pertaining to the function of an organ or part, or to the functions in general. Functional disease (Med.), a disease of which the symptoms cannot be referred to any appreciable lesion or change of structure; the derangement of an organ arising from a cause, often unknown, external to itself opposed to organic disease, in which the organ itself is affected.
Functionalize
Functionalize Func"tion*al*ize, v. t. To assign to some function or office. [R.]
Functionally
Functionally Func"tion*al*ly, adv. In a functional manner; as regards normal or appropriate activity. The organ is said to be functionally disordered. --Lawrence.
Functionaries
Functionary Func"tion*a*ry, n.; pl. Functionaries. [Cf. F. fonctionnaire.] One charged with the performance of a function or office; as, a public functionary; secular functionaries.
Functionary
Functionary Func"tion*a*ry, n.; pl. Functionaries. [Cf. F. fonctionnaire.] One charged with the performance of a function or office; as, a public functionary; secular functionaries.
Functionless
Functionless Func"tion*less, a. Destitute of function, or of an appropriate organ. Darwin.
Hyperbolic functions
Hyperbolic Hy`per*bol"ic, Hyperbolical Hy`per*bol"ic*al, a. [L. hyperbolicus, Gr. ?: cf. F. hyperbolique.] 1. (Math.) Belonging to the hyperbola; having the nature of the hyperbola. 2. (Rhet.) Relating to, containing, or of the nature of, hyperbole; exaggerating or diminishing beyond the fact; exceeding the truth; as, an hyperbolical expression. ``This hyperbolical epitaph.' --Fuller. Hyperbolic functions (Math.), certain functions which have relations to the hyperbola corresponding to those which sines, cosines, tangents, etc., have to the circle; and hence, called hyperbolic sines, hyperbolic cosines, etc. Hyperbolic logarithm. See Logarithm. Hyperbolic spiral (Math.), a spiral curve, the law of which is, that the distance from the pole to the generating point varies inversely as the angle swept over by the radius vector.
Implicit function
Implicit Im*plic"it, a. [L. implicitus, p. p. of implicare to entwine, entangle, attach closely: cf. F. implicite. See Implicate.] 1. Infolded; entangled; complicated; involved. [Obs.] --Milton. In his woolly fleece I cling implicit. --Pope. 2. Tacitly comprised; fairly to be understood, though not expressed in words; implied; as, an implicit contract or agreement. --South. 3. Resting on another; trusting in the word or authority of another, without doubt or reserve; unquestioning; complete; as, implicit confidence; implicit obedience. Back again to implicit faith I fall. --Donne. Implicit function. (Math.) See under Function.
potential function
Potential Po*ten"tial, n. 1. Anything that may be possible; a possibility; potentially. --Bacon. 2. (Math.) In the theory of gravitation, or of other forces acting in space, a function of the rectangular coordinates which determine the position of a point, such that its differential coefficients with respect to the co["o]rdinates are equal to the components of the force at the point considered; -- also called potential function, or force function. It is called also Newtonian potential when the force is directed to a fixed center and is inversely as the square of the distance from the center. 3. (Elec.) The energy of an electrical charge measured by its power to do work; hence, the degree of electrification as referred to some standard, as that of the earth; electro-motive force.
Sustentative functions
Sustentative Sus"ten*ta*tive, a. Adapted to sustain, strengthen, or corroborate; as, sustentative citations or quotations. Sustentative functions (Physiol.), those functions of the body which affect its material composition and thus determine its mass.
Thermodynamic function
Thermodynamic Ther`mo*dy*nam"ic, a. [Thermo- + dynamic.] (Physics) Relating to thermodynamics; caused or operated by force due to the application of heat. Thermodynamic function. See Heat weight, under Heat.
Theta function
Theta The"ta, n. [L., fr. Gr. qh^ta, the Greek letter [theta], [Theta].] A letter of the Greek alphabet corresponding to th in English; -- sometimes called the unlucky letter, from being used by the judges on their ballots in passing condemnation on a prisoner, it being the first letter of the Greek qa`natos, death. Theta function (Math.), one of a group of functions used in developing the properties of elliptic functions.
Transcendental function
Trancscendental Tranc`scen*den"tal, a. [Cf. F. transcendantal, G. transcendental.] 1. Supereminent; surpassing others; as, transcendental being or qualities. 2. (Philos.) In the Kantian system, of or pertaining to that which can be determined a priori in regard to the fundamental principles of all human knowledge. What is transcendental, therefore, transcends empiricism; but is does not transcend all human knowledge, or become transcendent. It simply signifies the a priori or necessary conditions of experience which, though affording the conditions of experience, transcend the sphere of that contingent knowledge which is acquired by experience. 3. Vaguely and ambitiously extravagant in speculation, imagery, or diction. Note: In mathematics, a quantity is said to be transcendental relative to another quantity when it is expressed as a transcendental function of the latter; thus, a^x, 10^2x, log x, sin x, tan x, etc., are transcendental relative to x. Transcendental curve (Math.), a curve in which one ordinate is a transcendental function of the other. Transcendental equation (Math.), an equation into which a transcendental function of one of the unknown or variable quantities enters. Transcendental function. (Math.) See under Function. Syn: Transcendental, Empirical. Usage: These terms, with the corresponding nouns, transcendentalism and empiricism, are of comparatively recent origin. Empirical refers to knowledge which is gained by the experience of actual phenomena, without reference to the principles or laws to which they are to be referred, or by which they are to be explained. Transcendental has reference to those beliefs or principles which are not derived from experience, and yet are absolutely necessary to make experience possible or useful. Such, in the better sense of the term, is the transcendental philosophy, or transcendentalism. Each of these words is also used in a bad sense, empiricism applying to that one-sided view of knowledge which neglects or loses sight of the truths or principles referred to above, and trusts to experience alone; transcendentalism, to the opposite extreme, which, in its deprecation of experience, loses sight of the relations which facts and phenomena sustain to principles, and hence to a kind of philosophy, or a use of language, which is vague, obscure, fantastic, or extravagant.
Vital functions
Vital Vi"tal, a. [F., fr. L. vitalis, fr. vita life; akin to vivere to live. See Vivid.] 1. Belonging or relating to life, either animal or vegetable; as, vital energies; vital functions; vital actions. 2. Contributing to life; necessary to, or supporting, life; as, vital blood. Do the heavens afford him vital food? --Spenser. And vital virtue infused, and vital warmth. --Milton. 3. Containing life; living. ``Spirits that live throughout, vital in every part.' --Milton. 4. Being the seat of life; being that on which life depends; mortal. The dart flew on, and pierced a vital part. --Pope. 5. Very necessary; highly important; essential. A competence is vital to content. --Young. 6. Capable of living; in a state to live; viable. [R.] Pythagoras and Hippocrates . . . affirm the birth of the seventh month to be vital. --Sir T. Browne. Vital air, oxygen gas; -- so called because essential to animal life. [Obs.] Vital capacity (Physiol.), the breathing capacity of the lungs; -- expressed by the number of cubic inches of air which can be forcibly exhaled after a full inspiration. Vital force. (Biol.) See under Force. The vital forces, according to Cope, are nerve force (neurism), growth force (bathmism), and thought force (phrenism), all under the direction and control of the vital principle. Apart from the phenomena of consciousness, vital actions no longer need to be considered as of a mysterious and unfathomable character, nor vital force as anything other than a form of physical energy derived from, and convertible into, other well-known forces of nature. Vital functions (Physiol.), those functions or actions of the body on which life is directly dependent, as the circulation of the blood, digestion, etc. Vital principle, an immaterial force, to which the functions peculiar to living beings are ascribed. Vital statistics, statistics respecting the duration of life, and the circumstances affecting its duration. Vital tripod. (Physiol.) See under Tripod. Vital vessels (Bot.), a name for latex tubes, now disused. See Latex.

Meaning of Functio from wikipedia

- swelling, and loss of function (Latin calor, dolor, rubor, tumor, and functio laesa). Inflammation is a generic response, and therefore is considered...
- Functio laesa is a term used in medicine to refer to a loss of function or a disturbance of function. It was identified as the fifth sign of acute inflammation...
- redness/hyperemia), tumor (either clear or non-clear bordered tissue swelling), functio laesa (diminish affected function). There may be systemic signs of infection...
- electron microscopical and electrophysiological techniques". Forma et Functio. 4: 326–339. Brandmayr P. 1992. Short review of the presocial evolution...
- "Adaptations for gape in the hippopotamus and its relatives". Forma et Functio. 8: 85–100. Avedik, A; Clauss, M (2023). "Chewing, dentition and tooth...
- Hoffman as Gargamadua, Badvoc's girlfriend (Series 1 only) Robert Austin as Functio (Series 1 only) Geoffrey McGivern as Wolfbane (one episode in Series 1...
- electron microscopical and electrophysiological techniques". Forma et Functio. 4: 326–339. Pirisinu, Q.; Spinelli, G.; Clara Bicchierai, M. (1988). "Stridulatory...
- Getting Better - The Fight for the NHS King George VI 2 episodes 2022 Chelmsford 123: The Revival Functio 3 episodes Severus Septimius Severus BBC Radio 4...
- perform, execute, discharge; finish, complete, end" > fungible, defunct; fūnctiō "performance, execution (of a task)" > function bhuj-, bhunákti "(s/he)...
- bivalent Dysfunction – from the Gr**** δυσ- (dys-) 'bad' and the Latin functio Eigenvalue– from German eigen 'own' and English of French origin 'value'...