divine

Complex Com"plex, a. [L. complexus, p. p. of complecti to entwine around, comprise; com- + plectere to twist, akin to plicare to fold. See Plait, n.] 1. Composed of two or more parts; composite; not simple; as, a complex being; a complex idea. Ideas thus made up of several simple ones put together, I call complex; such as beauty, gratitude, a man, an army, the universe. --Locke. 2. Involving many parts; complicated; intricate. When the actual motions of the heavens are calculated in the best possible way, the process is difficult and complex. --Whewell. Complex fraction. See Fraction. Complex number (Math.), in the theory of numbers, an expression of the form a + b[root]-1, when a and b are ordinary integers. Syn: See Intricate., Complex Com"plex, n. [L. complexus] Assemblage of related things; collection; complication. This parable of the wedding supper comprehends in it the whole complex of all the blessings and privileges exhibited by the gospel. --South. Complex of lines (Geom.), all the possible straight lines in space being considered, the entire system of lines which satisfy a single relation constitute a complex; as, all the lines which meet a given curve make up a complex. The lines which satisfy two relations constitute a congruency of lines; as, the entire system of lines, each one of which meets two given surfaces, is a congruency.

- a complex is a whole that comprehends a number of intricate parts, especially one with interconnected or mutually related parts; for

- complex : complex (c entre f o r m athematics and p hysics in the l ife sciences and ex perimental biology) is an inter-disciplinary virtual

- a complex number is a number that can be expressed in the form a + bi, where a and b are real number s and i is the imaginary unit , which

- in chemistry , a coordination complex or metal complex, consists of an atom or ion (usually metallic), and a surrounding array of bound

- complex is an american young men's style/lifestyle magazine founded by daniel spears. date december 2013 , not in cite (was marc ecko until a

- a multiprotein complex (or protein complex) is a group of two or more associated polypeptide chain s. resulting multiprotein complex can

- complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that

- in mathematics , the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the

- complex systems present problems both in mathematical model ling and philosophical foundations. the study of complex systems represents a

- a species complex is a group of related species, where the exact demarcation between species is often unclear or cryptic. species complex es

- complex : complex (c entre f o r m athematics and p hysics in the l ife sciences and ex perimental biology) is an inter-disciplinary virtual

- a complex number is a number that can be expressed in the form a + bi, where a and b are real number s and i is the imaginary unit , which

- in chemistry , a coordination complex or metal complex, consists of an atom or ion (usually metallic), and a surrounding array of bound

- complex is an american young men's style/lifestyle magazine founded by daniel spears. date december 2013 , not in cite (was marc ecko until a

- a multiprotein complex (or protein complex) is a group of two or more associated polypeptide chain s. resulting multiprotein complex can

- complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that

- in mathematics , the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the

- complex systems present problems both in mathematical model ling and philosophical foundations. the study of complex systems represents a

- a species complex is a group of related species, where the exact demarcation between species is often unclear or cryptic. species complex es

(b) Any similar oxide of hydrocarbon radicals; as, amyl ether; valeric ether. Complex ether, Mixed ether (Chem.), an oxide of two different radicals in the same molecule; as, ethyl methyl ether, C2H5.O.CH3. Compound ether (Chem.), an ethereal salt or a salt of some hydrocarbon as the base; an ester. Ether engine (Mach.), a condensing engine like a steam engine, but operated by the vapor of ether instead of by steam.

- ethers ˈ , iː , θ , ə(r) are a class of organic compound s that contain an ether if the ether is part of a more complex molecule, it is

- lactofen is a complex ester of acifluorfen and is a nitrophenyl ether selective herbicide . it is used in postemergence applications to

- crown ethers are cyclic chemical compound s that consist of a ring containing crown ethers strongly bind certain cations, forming complexes .

- is the organic compound with the formula c , 2 , h , 4 , o. it is a cyclic ether and complex glycols, polyglycol ethers and other compounds.

- ethylene glycol dimethyl ether, dimethyl cellosolve, and dme, is a clear, dimethoxyethane forms chelate complexes with cations and acts

- determining uses of cryptands and crown ethers , thus launching the now flourishing more selective and complex the guest ions more strongly.

- 18 °С), acetonitrile (0.083 g/l at 18 °С), ethylacetate s and other complex ether s, butanone , acetophenone , pyridine and chlorobenzene .

- the reaction is catalyzed by bases and also by transition metal complexes usually symmetrical ethers are prepared by dehydration of

- it is commercially available as a solution in diethyl ether or as ether or thf, are required to solvate (complex) the magnesium(ii) center.

- binding constant) is an equilibrium constant for the formation of a complex in solution. for example, the crown ether 18-crown-6 forms

- lactofen is a complex ester of acifluorfen and is a nitrophenyl ether selective herbicide . it is used in postemergence applications to

- crown ethers are cyclic chemical compound s that consist of a ring containing crown ethers strongly bind certain cations, forming complexes .

- is the organic compound with the formula c , 2 , h , 4 , o. it is a cyclic ether and complex glycols, polyglycol ethers and other compounds.

- ethylene glycol dimethyl ether, dimethyl cellosolve, and dme, is a clear, dimethoxyethane forms chelate complexes with cations and acts

- determining uses of cryptands and crown ethers , thus launching the now flourishing more selective and complex the guest ions more strongly.

- 18 °С), acetonitrile (0.083 g/l at 18 °С), ethylacetate s and other complex ether s, butanone , acetophenone , pyridine and chlorobenzene .

- the reaction is catalyzed by bases and also by transition metal complexes usually symmetrical ethers are prepared by dehydration of

- it is commercially available as a solution in diethyl ether or as ether or thf, are required to solvate (complex) the magnesium(ii) center.

- binding constant) is an equilibrium constant for the formation of a complex in solution. for example, the crown ether 18-crown-6 forms

Fraction Frac"tion, n. [F. fraction, L. fractio a breaking, fr. frangere, fractum, to break. See Break.] 1. The act of breaking, or state of being broken, especially by violence. [Obs.] Neither can the natural body of Christ be subject to any fraction or breaking up. --Foxe. 2. A portion; a fragment. Some niggard fractions of an hour. --Tennyson. 3. (Arith. or Alg.) One or more aliquot parts of a unit or whole number; an expression for a definite portion of a unit or magnitude. Common, or Vulgar, fraction, a fraction in which the number of equal parts into which the integer is supposed to be divided is indicated by figures or letters, called the denominator, written below a line, over which is the numerator, indicating the number of these parts included in the fraction; as 1/2, one half, 2/5, two fifths. Complex fraction, a fraction having a fraction or mixed number in the numerator or denominator, or in both. --Davies & Peck. Compound fraction, a fraction of a fraction; two or more fractions connected by of. Continued fraction, Decimal fraction, Partial fraction, etc. See under Continued, Decimal, Partial, etc. Improper fraction, a fraction in which the numerator is greater than the denominator. Proper fraction, a fraction in which the numerator is less than the denominator., Complex Com"plex, a. [L. complexus, p. p. of complecti to entwine around, comprise; com- + plectere to twist, akin to plicare to fold. See Plait, n.] 1. Composed of two or more parts; composite; not simple; as, a complex being; a complex idea. Ideas thus made up of several simple ones put together, I call complex; such as beauty, gratitude, a man, an army, the universe. --Locke. 2. Involving many parts; complicated; intricate. When the actual motions of the heavens are calculated in the best possible way, the process is difficult and complex. --Whewell. Complex fraction. See Fraction. Complex number (Math.), in the theory of numbers, an expression of the form a + b[root]-1, when a and b are ordinary integers. Syn: See Intricate.

- a fraction (from latin: fractus, 'broken') represents a part of a whole or, more including compound fractions, complex fractions, and mixed numerals.

- in complex analysis , a branch of mathematics, a generalized continued fraction is a generalization of regular continued fraction s in

- in complex analysis , a partial fraction expansion is a way of writing a meromorphic function f(z) as an infinite sum of rational functions

- in complex analysis , gauss's continued fraction is a particular class of continued fractions derived from hypergeometric function s.

- in algebra , an algebraic fraction is a fraction whose numerator and denominator a complex fraction is a fraction whose numerator or

- ddots + \cfrac 1 a_n a finite continued fraction, where n is a non-negative integer another, more complex pattern appears in this

- almost the entire subject is based on complex analysis , which has a as another example, one might consider the complex fraction s one finds

- gintonin is a novel glycolipoprotein fraction isolated from ginseng. the main component of gintonin is lysophosphatidic acids-protein complex.

- in the analytic theory of continued fractions , euler's continued fraction formula for infinite continued fractions with complex elements.

- naphtha is defined as the fraction of hydrocarbons in petroleum boiling between 30 °c and 200 °c it consists of a complex mixture of

- in complex analysis , a branch of mathematics, a generalized continued fraction is a generalization of regular continued fraction s in

- in complex analysis , a partial fraction expansion is a way of writing a meromorphic function f(z) as an infinite sum of rational functions

- in complex analysis , gauss's continued fraction is a particular class of continued fractions derived from hypergeometric function s.

- in algebra , an algebraic fraction is a fraction whose numerator and denominator a complex fraction is a fraction whose numerator or

- ddots + \cfrac 1 a_n a finite continued fraction, where n is a non-negative integer another, more complex pattern appears in this

- almost the entire subject is based on complex analysis , which has a as another example, one might consider the complex fraction s one finds

- gintonin is a novel glycolipoprotein fraction isolated from ginseng. the main component of gintonin is lysophosphatidic acids-protein complex.

- in the analytic theory of continued fractions , euler's continued fraction formula for infinite continued fractions with complex elements.

- naphtha is defined as the fraction of hydrocarbons in petroleum boiling between 30 °c and 200 °c it consists of a complex mixture of

Integer In"te*ger, n. [L. integer untouched, whole, entire. See Entire.] A complete entity; a whole number, in contradistinction to a fraction or a mixed number. Complex integer (Theory of Numbers), an expression of the form a + b[root]-1, where a and b are real integers.

- in number theory , a gaussian integer is a complex number whose real and imaginary part are both integer s. the gaussian integers, with

- in number theory , an algebraic integer is a complex number that is a root of some monic polynomial (a polynomial whose leading

- eisenstein integers (named after gotthold eisenstein ), also known as eulerian integers (after leonhard euler ), are complex number s of the form :

- when n is a positive integer , exponentiation corresponds to can be defined for all real and even complex exponents n via the exponential

- part 3: complex integer and floating point arithmetic and complex elementary numerical functions, first edition published 2006.

- factorial function , with its argument shifted down by 1, to real and complex number s. complex numbers except the negative integers and zero.

- in mathematics , complex multiplication is the theory of elliptic curve s e that have an endomorphism ring larger than the integer s; and

- a complex number is a number that can be expressed in the form a + bi, where a and integer and fractional exponents: we may use the identity

- such as the integer −5 and the fraction 4/3, and all the the real line can be thought of as a part of the complex plane , and

- in mathematics, an abstract cell complex is an abstract set with alexandrov topology in which a non-negative integer number called

- in number theory , an algebraic integer is a complex number that is a root of some monic polynomial (a polynomial whose leading

- eisenstein integers (named after gotthold eisenstein ), also known as eulerian integers (after leonhard euler ), are complex number s of the form :

- when n is a positive integer , exponentiation corresponds to can be defined for all real and even complex exponents n via the exponential

- part 3: complex integer and floating point arithmetic and complex elementary numerical functions, first edition published 2006.

- factorial function , with its argument shifted down by 1, to real and complex number s. complex numbers except the negative integers and zero.

- in mathematics , complex multiplication is the theory of elliptic curve s e that have an endomorphism ring larger than the integer s; and

- a complex number is a number that can be expressed in the form a + bi, where a and integer and fractional exponents: we may use the identity

- such as the integer −5 and the fraction 4/3, and all the the real line can be thought of as a part of the complex plane , and

- in mathematics, an abstract cell complex is an abstract set with alexandrov topology in which a non-negative integer number called

Complex Com"plex, a. [L. complexus, p. p. of complecti to entwine around, comprise; com- + plectere to twist, akin to plicare to fold. See Plait, n.] 1. Composed of two or more parts; composite; not simple; as, a complex being; a complex idea. Ideas thus made up of several simple ones put together, I call complex; such as beauty, gratitude, a man, an army, the universe. --Locke. 2. Involving many parts; complicated; intricate. When the actual motions of the heavens are calculated in the best possible way, the process is difficult and complex. --Whewell. Complex fraction. See Fraction. Complex number (Math.), in the theory of numbers, an expression of the form a + b[root]-1, when a and b are ordinary integers. Syn: See Intricate.

- a complex number is a number that can be expressed in the form a + bi, where a and b are real number s and i is the imaginary unit , which

- a complex quadratic polynomial is a quadratic polynomial whose coefficient s are complex number s. forms: when the quadratic polynomial has

- some programming languages provide a complex data type for complex number storage and arithmetic as a built-in (primitive) data type .

- hyperbolic numbers, also perplex numbers) are a two-dimensional commutative algebra over the real numbers different from the complex number s.

- in mathematics , the complex plane or z-plane is a geometric representation of the with the real part of a complex number represented by a

- in mathematics , the absolute value (or modulus) x of a real number x is the non- also defined for the complex number s, the quaternion s,

- in mathematics , complex conjugates are a pair of complex number s, both having the same real part, but with imaginary parts of equal

- in mathematics , arg is a function operating on complex number s (visualized in a complex plane ). representing the number and the positive real axis).

- model of the extended complex plane, the complex plane plus a point at infinity . that is, the complex number s plus a value ∞ for infinity .

- their complex number calculator, completed january 8, 1940, was able to do calculations on complex numbers . commands to the complex number

- a complex quadratic polynomial is a quadratic polynomial whose coefficient s are complex number s. forms: when the quadratic polynomial has

- some programming languages provide a complex data type for complex number storage and arithmetic as a built-in (primitive) data type .

- hyperbolic numbers, also perplex numbers) are a two-dimensional commutative algebra over the real numbers different from the complex number s.

- in mathematics , the complex plane or z-plane is a geometric representation of the with the real part of a complex number represented by a

- in mathematics , the absolute value (or modulus) x of a real number x is the non- also defined for the complex number s, the quaternion s,

- in mathematics , complex conjugates are a pair of complex number s, both having the same real part, but with imaginary parts of equal

- in mathematics , arg is a function operating on complex number s (visualized in a complex plane ). representing the number and the positive real axis).

- model of the extended complex plane, the complex plane plus a point at infinity . that is, the complex number s plus a value ∞ for infinity .

- their complex number calculator, completed january 8, 1940, was able to do calculations on complex numbers . commands to the complex number

Complex Com"plex, n. [L. complexus] Assemblage of related things; collection; complication. This parable of the wedding supper comprehends in it the whole complex of all the blessings and privileges exhibited by the gospel. --South. Complex of lines (Geom.), all the possible straight lines in space being considered, the entire system of lines which satisfy a single relation constitute a complex; as, all the lines which meet a given curve make up a complex. The lines which satisfy two relations constitute a congruency of lines; as, the entire system of lines, each one of which meets two given surfaces, is a congruency.

- in mathematics , a complex line is a one- dimension al affine subspace of a vector space over the complex numbers . while a complex line

- in algebraic geometry , a line complex is a 3-fold given by the intersection of the grassmannian g(2, 4) (embedded in projective space p 5

- complex analysis a stokes line, named after sir george gabriel stokes , is a line in the complex plane which 'turns on' different kinds

- line-replaceable unit , a complex component of a vehicle that can be replaced quickly at the organizational level. least recently used , a

- model of the extended complex plane, the complex plane plus a point at infinity . as the complex projective line p 1(c), the projective

- in mathematics, the birkhoff–grothendieck theorem classifies holomorphic vector bundle s over the complex projective line . holomorphic line bundle s.

- in geometry and complex analysis , a möbius transformation of the plane is a map every straight line to a line or circle, and map every

- in mathematics , a projective line is a one-dimensional projective space . complex projective line: the riemann sphere: to the complex plane

- the point at infinity, also called ideal point, of the real number line is a point complex algebraic curve) known as the complex

- a complex number is a number that can be expressed in the form a + bi, where a and the one-dimensional number line to the two-dimensional

- in algebraic geometry , a line complex is a 3-fold given by the intersection of the grassmannian g(2, 4) (embedded in projective space p 5

- complex analysis a stokes line, named after sir george gabriel stokes , is a line in the complex plane which 'turns on' different kinds

- line-replaceable unit , a complex component of a vehicle that can be replaced quickly at the organizational level. least recently used , a

- model of the extended complex plane, the complex plane plus a point at infinity . as the complex projective line p 1(c), the projective

- in mathematics, the birkhoff–grothendieck theorem classifies holomorphic vector bundle s over the complex projective line . holomorphic line bundle s.

- in geometry and complex analysis , a möbius transformation of the plane is a map every straight line to a line or circle, and map every

- in mathematics , a projective line is a one-dimensional projective space . complex projective line: the riemann sphere: to the complex plane

- the point at infinity, also called ideal point, of the real number line is a point complex algebraic curve) known as the complex

- a complex number is a number that can be expressed in the form a + bi, where a and the one-dimensional number line to the two-dimensional

Complexed Com*plexed" (k[o^]m*pl[e^]kst"), a. Complex, complicated. [Obs.] ``Complexed significations.' --Sir T. Browne., Complexedness Com*plex"ed*ness (k[o^]m*pl[e^]ks"[e^]d*n[e^]s), n. The quality or state of being complex or involved; complication. The complexedness of these moral ideas. --Locke.

- complexe desjardins is a mixed-use office, hotel, and shopping mall complex located in montreal , quebec , canada the project was

- complexe maisonneuve is an office building complex in montreal , quebec , canada . complexe maisonneuve is located on de la gauchetière

- the complexe sportif claude-robillard (cscr) is a multi-purpose sport facility, located in montreal , quebec , canada , in the borough of

- complexe les ailes is a shopping center located in downtown montreal , at 677, sainte-catherine street west, corner of university street .

- complexe ocp is a multi-use stadium in khouribga , morocco . it is currently used mostly for football matches and hosts the home games

- the complexe al amal is a tennis complex in casablanca , morocco . the complex is the host of the annual atp tour stop, the grand prix

- the complexe sonore is an octatonic chord consisting of minor third relations. more precisely, the complexe sonore is igor stravinsky 's

- or the complexe sportif de fès is a multi-purpose stadium in fez , morocco . it is currently used mostly for football matches and it

- complexe guy-favreau is a twelve storey building complex containing canadian government offices built in 1984. it is located at 200 rené

- the complexe de kawani is a multi-use stadium in mamoudzou , mayotte .the stadium holds about 5,000 people and serves the mayotte national

- complexe maisonneuve is an office building complex in montreal , quebec , canada . complexe maisonneuve is located on de la gauchetière

- the complexe sportif claude-robillard (cscr) is a multi-purpose sport facility, located in montreal , quebec , canada , in the borough of

- complexe les ailes is a shopping center located in downtown montreal , at 677, sainte-catherine street west, corner of university street .

- complexe ocp is a multi-use stadium in khouribga , morocco . it is currently used mostly for football matches and hosts the home games

- the complexe al amal is a tennis complex in casablanca , morocco . the complex is the host of the annual atp tour stop, the grand prix

- the complexe sonore is an octatonic chord consisting of minor third relations. more precisely, the complexe sonore is igor stravinsky 's

- or the complexe sportif de fès is a multi-purpose stadium in fez , morocco . it is currently used mostly for football matches and it

- complexe guy-favreau is a twelve storey building complex containing canadian government offices built in 1984. it is located at 200 rené

- the complexe de kawani is a multi-use stadium in mamoudzou , mayotte .the stadium holds about 5,000 people and serves the mayotte national