denotes radiator V.

42This usage, coupled with the existence of a distinct term in Gaelic for the wild species, leaves little doubt that the word "cat" properly denotes only the domesticated species.

20if I be the change in the internal energy, the relation referred to gives us the equation A = I +T (dA/dT), where dA/dT denotes the rate of change of the available energy of the system per degree change in temperature.

20208.) If 01 denotes the velocity function of the liquid filling the cylinder r = b, and moving bodily with it with velocity Ul, 41 = -U1x, (12) and over the separating surface r =b 4, = I U (+- a2) a2 +b2 (13) 1 Ul b2 - a 2 ...

20The integration of (24) gives d (30) dt =constant -gt=g(2T-t), if T denotes the whole time of flight from 0 to the point B (fig.

20This latter type appears to be the true "tabby"; since that word denotes a pattern like that of watered silk.

21Thus denotes a tetrahydro derivative in which the double link occupies the side 1; 0 a dihydro derivative, the double links being along the sides i and 3.

21If there is a letter after the model number it denotes the factory in which the machine was made.

21The number symbol makes a note sharp and the actual number denotes the octave.

21There is no single event or boundary line that denotes the end of childhood or the beginning of adolescence.

21"Mac" denotes the son of a Scottish man.

21Backstroke: As the name denotes, this stroke is swam on the back.

21The word is still sometimes employed in this sense, as of the ship's telegraph, by means of which orders are mechanically transmitted from the navigating bridge to the engine room, but when used without qualification it usually denotes telegraphic apparatus worked by electricity, whether the signals that express the words of the message are visual, auditory or written.

10The term primarily denotes " reception " and then " doctrines received by tradition."

10An evening bag denotes a more dressy purse, designed for dinners, parties, dances, and other affairs that often take place in the evening.

11This denotes reflection and the inward development of the self.

11Mercury in Taurus, along with a moon in Virgo, often denotes a propensity towards writing.

11More specially, what this aspect denotes is a love for the way that you and your partner express love.

11Venus to Saturn: This aspect denotes a long term commitment.

11As its name denotes, Turner Classic Movies (TCM) was founded by media mogul Ted Turner in 1994.

11As an added feature, this website also denotes the size of the script file so you know just how much space you need on your computer in order to download and print the script of your choice.

11Popularized as jewelry in the 1980's by stars such as Madonna, the meaning behind these beads is more than decorative; each bead on the rosary denotes one particular prayer.

11Occupational Tattoos: In the world of the Russian prison system, a cat means one is a thief while an executioner denotes one who commits murder for hire.

11It denotes that we are somehow flawed, or that we do not have the right to be who we were born to be just because we are neurodiverse/different.

11Within its triangular shape, the pyramid denotes important changes.

11Fantasy denotes the unreal and most likely the nonexistent like vampires, werewolves or hobbits and any type of unreal place or entity.

11This denotes the feeding trail of the offending bug or bugs.

11The overshirt is in a quilted pattern with a wide collar in a color that denotes the crew member's area of assignment.

11Paragraph: This denotes when a space or indent should be used to make text easier to read.

11For example, a "two-column leftnav" layout denotes a smaller left-side column for site navigation with a larger central column for the pages content.

117); there o js yas 'IopShvns denotes the spirituallzing sanctifying fluid which pervades the world of light.

12The word Fondaco (derived through Arabic from the Greek iravSoxE-ov), as applied to some of the Venetian palaces, denotes the mercantile headquarters of a foreign trading nation.

12Properly speaking, "Hebrew Literature" denotes all works written in the Hebrew language.

00A few experimental results are set forth in Table XX., from which it will be seen that with a relatively low rate of combustion, a rate which denotes very light service, namely lb of coal per square foot of grate per hour, the efficiency of the boiler is %, which is as good a result as can be obtained with the best class of stationary boiler or marine boiler even when using economizers.

00- With a few exceptions the Limicolae are, as the name denotes, aquatic in habit.

00In astronomy the word denotes the angular distance of a body from the pericentre of the orbit in which it is moving.

00The word " oxen," which occurs in our version of the Scriptures, as well as in the Septuagint and Vulgate, denotes the species, rather than the sex.

00The other view traces it to khem or khame, hieroglyph khmi, which denotes black earth as opposed to barren sand, and occurs in Plutarch as XvAda; on this derivation alchemy is explained as meaning the " Egyptian art."

00Tantalus's betrayal of the secrets of the gods refers to the sun unveiling the secrets of heaven; the slaying of Pelops denotes the going-down of the sun, Pelops meaning the "` gray one," an epithet of the gloomy sky in which the last rays of the sun are extinguished.

00It was found that the results were capable of expression by the empirical relation CaH2b= 104.3b+49'09m+105.47n, where C a H 2b denotes the formula of the hydrocarbon, m the number of single carbon linkings and n the number of double linkings, m and n being calculated on the Kekule formulae.

00the amount which is equivalent to one part of hydrogen; and (2) a factor which denotes the number of atoms of hydrogen which combines with or is equivalent to one atom of the particular element.

00The name is applied in commerce to a complex mixture of carbohydrates obtained by boiling starch with dilute mineral acids; in chemistry, it denotes, with the prefixes d, 1 and d+l (or i), the dextro-rotatory, laevo-rotatory and inactive forms of the definite chemical compound defined above.

00The word denotes in very early French law the portion of lands or money given by fathers and mothers to their sons or daughters on marriage, and usually connotes a renunciation by the latter of any future inheritance; or it may denote the portion given by the eldest son to his brothers and sisters when he was sole inheritor.

001 1 where laan and di denotes, not s successive operations of d1, but the operator of order s obtained by raising d l to the s th power symbolically as in Taylor's theorem in the Differential Calculus.

00= exp,udl where exp denotes (by the rule over exp) that the multiplication of operators is symbolic as in Taylor's theorem.

00di denotes, in fact, an operator of order s, but we may transform the right-hand side so that we are only concerned with the successive performance of linear operations.

00From the above D p4 is an operator of order pq, but it is convenient for some purposes to obtain its expression in the form of a number of terms, each of which denotes pq successive linear operations: to accomplish this write d ars and note the general result exp (mlodlo+moldol +...

00=n3, 'If' the forms a:, b:, cy 7 ...be identical the symbols are alternative, and provided that the form does not vanish it denotes an invariant of the single form ay.

00In particular, when the product denotes an invariant we may transform each of the symbols a, b,...to x in succession, and take the sum of the resultant products; we thus obtain a covariant which is called the first evectant of the original invariant.

00Such a symbolic product, if its does not vanish identically, denotes an invariant or a covariant, according as factors az, bz, cz,...

00+QS = 0, for then v8+1+ as+2+ï¿½ï¿½ï¿½+Cre= 0; and each portion raised to any power denotes a seminvariant.

00(0')B Denotes A Seminvariant, If 0, 0', Be Neither Of Them Unity, For, After Operation, The Terms Destroy One Another In Pairs: When 0, Must Be Taken To Denote Ao And So For 0'.

00If now the nti c denote a given pencil of lines, an invariant is the criterion of the pencil possessing some particular property which is independent alike of the axes and of the multiples, and a covariant expresses that the pencil of lines which it denotes is a fixed pencil whatever be the axes or the multiples.

00The number of different symbols a, b, c,...denotes the the covariants are homogeneous, but not in general isobaric functions, of the coefficients of the original form or forms. Of the above general form of covariant there are important transformations due to the symbolic identities: - (ï¿½b) 2 2)2 = a b - a b; (xï¿½ = as a consequence any even power of a determinant factor may be expressed in terms of the other symbolic factors, and any uneven power may be expressed as the product of its first power and a function of the other symbolic factors.

00There is no linear covariant, since it is impossible to form a symbolic product which will contain x once and at the same time appertain to a quadratic. (v.) is the Jacobian; geometrically it denotes the bisectors of the angles between the lines ax, or, as we may say, the common harmonic conjugates of the lines and the lines x x .

00On the other hand, the form of the third curve, with its large intercepts on the axes of H and B, denotes that the specimen to which it relates possesses both retentiveness and coercive force in a high degree; such a metal would be chosen for making good permanent magnets.

00The word most generally denotes writings which claimed to be, or were by certain sects regarded as, sacred scriptures although excluded from the canonical scriptures.

00is the sign of an alkali metal (potassium, sodium, rubidium, caesium), silver or ammonium, and M 111 denotes one of the trivalent metals, aluminium, chromium or ferric iron.

00(viii.) If u, denotes the term involving a r in the expansion of (A-{-a) n, then ur/ur - 1 = {(n-r+ i)/r}.a/A.

00Putting q=a+,61+yj+bk, Hamilton calls a the scalar part of q, and denotes it by Sq; he also writes Vq for 01+yj+b ï¿½, which is called the vector part of q.

00He denotes quantities by the letters of the alphabet, retaining the vowels for the unknown and the consonants for the knowns; he introduced the vinculum and among others the terms coefficient, affirmative, negative, pure and adfected equations.

00Girard is inconsistent in his notation, sometimes following Vieta, sometimes Stevin; he introduced the new symbols ff for greater than and ï¿½ for less than; he follows Vieta in using the plus (+) for addition, he denotes subtraction by Recorde's symbol for equality (=), and he had no sign for equality but wrote the word out.

00a+d If B denotes the brightness of the central image when the whole of the space occupied by the grating is transparent, we have Bo:B =a2:(a+d)2, and thus (2).

00In the present application 4' is not necessarily equal to; but if P correspond to a line upon the grating, the difference of retardations for consecutive positions of P, so far as expressed by the term of the first order, will be equal to mX (m integral), and therefore without influence, provided v (sin 0-sin0') = nzX (11), where a denotes the constant interval between the planes containing the lines.

00If we write p = 27rR/A (6), we must regard p as a function of f, and we may take with sufficient approximation under any ordinary circumstances where p' denotes the value of p at 0, and is a constant, which is positive when the retarding plate is held at the side on which the blue of the spectrum is seen.

00According to this notation, the three equations of motion are dt2 = b2v2E + (a2 - b2) d.s dt =b2v2rj+(a2 - b2) dy d2 CIF - b2p2+(a2_b2)dz It is to be observed that denotes the dilatation of volume of the element situated at (x, y, z).

00For the former class the generic name is Xgtwv, a word of Semitic origin, which denotes the Eastern origin of the garment; for the latter we find in Homer and early poetry irbrXos, in later times ij tnnov.

00For if the liquid of density a rises to the height h and of density p to the height k, and po denotes the atmospheric pressure, the pressure in the liquid at the level of the surface of separation will be ah+Po and pk +po, and these being equal we have Uh = pk.

00These equations can be made to represent the state of convective equilibrium of the atmosphere, depending on the gas-equation p = pk =RA (6) where 0 denotes the absolute temperature; and then d9 d p R dz - dz (p) n+ 1' so that the temperature-gradient deldz is constant, as in convective equilibrium in (I I).

00In the more general case of the convective equilibrium of a spherical atmosphere surrounding the earth, of radius a, (1-1?-=(n+ I) Po --a 2 dr, (12) gravity varying inversely as the square of the distance r from the centre; so that, k = po/po, denoting the height of the homogeneous atmosphere at the surface, 0 is given by (n+I)k(I -9/6 0) =a(I -a/r), (13) or if c denotes the distance where 0=o, 0 _a (14) 0 r c -a' When the compressibility of water is taken into account in a deep ocean, an experimental law must be employed, such as p - po=k(P - Po), or P/po=I+(p-p0)/A, A=kpo, (15) so that A is the pressure due to a head k of the liquid at density under atmospheric pressure po; and it is the gauge pressure required on this law to double the density.

00The varying direction of the inclining couple Pc may be realized by swinging the weight P from a crane on the ship, in a circle of radius c. But if the weight P was lowered on the ship from a crane on shore, the vessel would sink bodily a distance P/wA if P was deposited over F; but deposited anywhere else, say over Q on the water-line area, the ship would turn about a line the antipolar of Q with respect to the confocal ellipse, parallel to FF', at a distance FK from F FK= (k2-hV/A)/FQ sin QFF' (2) through an angle 0 or a slope of one in m, given by P sin B= m wA FK - W'Ak 2V hV FQ sin QFF', (3) where k denotes the radius of gyration about FF' of the water-line area.

00Generally if S denotes any closed surface, fixed in the fluid, M the mass of the fluid inside it at any time t, and 0 the angle which the outward-drawn normal makes with the velocity q at that point, dM/dt = rate of increase of fluid inside the surface, (I) =flux across the surface into the interior _ - f f pq cos OdS, the integral equation of continuity.

00if r denotes the radius of curvature of the stream line, so that I dp + dV - dH _ dq 2 q2 (6) p dv dv dv dv - r ' the normal acceleration.

000= {(n +I)Ar" - where P. denotes the zonal harmonic of the nth order; also, in the exceptional case of =Ao cos 0, 4) = Ao/r; 4'= Bor, 49 = - Bo log tan 2B sh - lx/y.

00The stream lines xBAJ, xA'J' are given by = 0, m; so that if c denotes the ultimate breadth JJ' of the jet, where the velocity may be supposed uniform and equal to the skin velocity Q, m=Qc, c=m/Q.

00= a constant, so that we may put MdX (17) (a2+X)P' P2= 4(a2 + X)(b2 +X)(c 2 +X), (18) where M denotes a constant; so that 4) is an elliptic integral of th second kind.

00The impulse required to set up the motion in liquid of density p i the resultant of an impulsive pressure p4) over the surface S of th ellipsoid, and is therefore ffp4ldS = p4GoffxldS =p 40 (volume of the ellipsoid) =4)oW', (23) where W' denotes the weight of liquid displaced.

00These equations are proved by taking a line fixed in space, whose direction cosines are 1, then dt=mR-nQ,' d'-t = nP =lQ-mP. (5) If P denotes the resultant linear impulse or momentum in this direction P =lxl+mx2+nx3, ' dP dt xl+, d y t x2' x3 +1 dtl dt 2 +n dt3, =1 ('+m (dt2-x3P+x1R) ' +n ('-x1Q-{-x2P) ' '= IX +mY+nZ, / (7) for all values of 1, Next, taking a fixed origin and axes parallel to Ox, Oy, Oz through 0, and denoting by x, y, z the coordinates of 0, and by G the component angular momentum about 1"2 in the direction (1, G =1(yi-x2z+x3y) m 2-+xlz) n(y(y 3x 1 x3x y + x 2 x) (8) Differentiating with respect to t, and afterwards moving the fixed.

00(9) c 2 Ci If the shot is moving as if fired from a gun of calibre d inches, in which the rifling makes one turn in a pitch of n calibres or nd inches, so that the angle S of the rifling is given by tan S = ird/nd = 2 d p/u, (10) '°If a denotes the density of the metal, and if the shell has a cavity homothetic with the external ellipsoidal shape, a fraction f of the linear scale; then the volume of a round shot being sird 3, and sird 3 x of a shot x calibres long W =*ird 3 x(I -f 3)v, (20) 2 Wki 2= 61rd 3 xo(I-f 5)Q, (21) Wk22=67rd3x 2 2+0 2(I - f5)Q.

00If p denotes the density of the air or medium W' = sird 3 xp, (23) W' I p __ W I -1 3 k12 I k22 x2 ±i a 2= 101-1 3 '111 2= 2 tan g S = Q (l - a) x 2+ I (26) in which a/p may be replaced by 800 times the S.G.

00The word " clay " used in the agricultural sense denotes a sticky intractable material which is found to consist of exceedingly fine particles (generally less than.

00" Frog's eye," or " leaf spot," denotes the occurrence of small white specks on the leaf.

00It is obvious that if the derivation be correct, the significance of the name, which in itself denotes only " He falls" or "He fells," must be learned, if at all, from early Israelitish conceptions of the nature of Yahweh rather than from etymology.

00As a numeral C denotes 100.

00Haemoptysis denotes an escape of blood from the air-passages, which is usually bright red and frothy from admixture with air.

00The African Monthly (Grahamstown, 1907) and the State of South Africa (Cape Town, 1909) are monthly reviews, while the South African Railway Magazine (1907) is of wider interest than its name denotes.

00e denotes heathen gods.

00densus, thick), in physics, the mass or quantity of matter contained in unit volume of any substance: this is the absolute density; the term relative density or specific gravity denotes the ratio of the mass of a certain volume of a substance to the mass of the same volume of some standard substance.

00The name has been applied generally to all kinds of instruments used in the measurement of a force, as for example electric dynamometers, but the term specially denotes apparatus used in connexion with the measurement of work, or in the measurement of the horse-power of engines and motors.

00If the system is supposed to obey the conservation of energy and to move solely under its own internal forces, the changes in the co-ordinates and momenta can be found from the Hamiltonian equations aE aE qr = 49 - 1 57., gr where q r denotes dg r ldt, &c., and E is the total energy expressed as a function of pi, qi,.

00We accordingly put 1/2h = RT, where T denotes the temperature on the absolute scale, and then have equations (7) in the form mu 2 = mv '2 = ...

00On combining the two parts of the pressure which have been calculated, the aggregate impulsive pressure on dS in time dt is found to be dS ff f v1,1 (h 3 m 3 /7r 3)e h m(u2+v2+w2 >mu2dudvdw, where M denotes summation over all kinds of molecules.

00., where ue denotes the same function of x =xo+Bh, whether Oh lies between the limits o and H or not.

00The formula, in the above case, is 3h{ *k(uo,o + 3 where u 0, 0 denotes the ordinate for which x=xo+Oh, y=yo+c¢k The result is the same as if we multiplied lk(vo 3v1+3v2 + v 3) by lh(uo 4u1 +u2), and then replaced uovo, uov1, ..

00The integration with regard to y may similarly (in the particular example) be replaced by the operation ak(I+3E'-+3E'2+E'3), where E' denotes the change of y into y + k.

00If A denotes the true area of the original trapezette, and B the aggregate area of the substituted figures, we have A B, where 41-denotes approximate equality.

00Let a be the radius of a circle, and 0 (circular measure) the unknown angle subtended by an arc. Then, if we divide 0 into m equal parts, and L 1 denotes the sum of the corresponding chords, so that L i =2ma sin (0/2m), the true length of the arc is L1 +a9 3 - 5 + ..., where cp. =B/2m.

00Congregationalism, however, " denotes a positive theory of the organization and powers of Christian churches," having as corollary independency of external control, whether civil or ecclesiastical.

00a point which divides a line, or a line which divides an angle, into two equal parts; in crystallography it denotes the bisector of the angle between the optic axes.

00The name denotes "the fortress of Camulos," the Celtic Mars.

00It refers not to an accusation, but to sin actually committed (after baptism); and it denotes the setting of the sinner free from the guilt of the sin, or from its ecclesiastical penalty (excommunication), or from both.

00We see from I Kings xviii., 2 Kings x., that great Baal temples had two classes of ministers, kohanim and nebhiim, " priests " and " prophets," and as the former bear a name which primarily denotes a soothsayer, so the latter are also a kind of priests who do sacrificial service with a wild ritual of their own.

00G 2 denotes the Greek text from which the Slavonic and the second Latin Version (consisting of vi.-xi.) were translated.

00The symbol (alp) which is known as Legendre's symbol, and denotes the positive or negative unit which is the remainder when au s (-1) is divided by a prime number p, does not appear in this memoir, but was first used in the Essai sur la theorie des nombres.

00The resistance R can thus be divided into two factors, one of which is d 2, where d denotes the diameter of the shot in inches, and the other factor is denoted by p, where p is the resistance in pounds at the same velocity to a similar I-in.

00(p) where m denotes the order of the function.

00The term "weight" denotes a magnitude of the same nature as a force; the weight of a body is the product of the mass of the body by the acceleration of gravity; in particular, the normal weight of a body is the product of the mass of the body by the normal acceleration of gravity.

00(76 millimetres), which denotes a variation of 103 grammes per square centimetre in the pressure of the atmosphere, the change caused thereby in the length of a standard of linear measurement would appear to be as follows: --

00Thus in arithmetical calculations if the base is not expressed it is understood to be io, so that log m denotes log n m; but in analytical formulae it is understood to be e.

00It should be mentioned that in most tables of trigonometrical functions, the number io is added to all the logarithms in the table in order to avoid the use of negative characteristics, so that the characteristic 9 denotes in reality 1, 8 denotes a, io denotes o, &c. Logarithms thus increased are frequently referred to for the sake of distinction as tabular logarithms, so that the tabular logarithm =the true logarithm -IIo.

00+ ...)x, where the right-hand side denotes the positive xth power of the number I +I +1/2 !

00If 1 denotes the logarithm to base e (that is, the so-called "Napierian " or hyperbolic logarithm) and L denotes, as above, " Napier's " logarithm, the connexion between 1 and L is expressed by L = r o 7 loge 10 7 - 10 7 / or e t = I 07e-L/Ia7 Napier's work (which will henceforth in this article be referred to as the Descriptio) immediately on its appearance in 1614 attracted the attention of perhaps the two most eminent English mathematicians then living - Edward Wright and Henry Briggs.

00The small ratio, or ratiuncula, is in fact that of the millionth root of to to unity, and if we denote it by the ratio of a to 1, then the ratio of 2 to I will be nearly the same as that of a301'°30 to i, and so on; or, in other words, if a denotes the millionth root of 10, then 2 will be nearly equal to a 301,030, 3 will be nearly equal to a477,1u, and so on.

001 2 8 denotes i- 08, i--.

001 4 6 denotes i- 0006, &c., and so on.

00Used more accurately, it denotes the tribe which invaded India 130-140 B.C. They are the Sacae and Sakai of classical authors and the Se of the Chinese, which may represent an original Sek or Siik.

00The equation x 2 +y 2 =o denotes a pair of perpendicular imaginary lines; it follows, therefore, that circles always intersect in two imaginary points at infinity along these lines, and since the terms x 2 +y 2 occur in the equation of every circle, it is seen that all circles pass through two fixed points at infinity.

00The Letter Which Denotes Sunday Is Called The Dominical Letter, Or The Sunday Letter; And When The Dominical Letter Of The Year Is Known, The Letters Which Respectively Correspond To The Other Days Of The Week Become Known At The Same Time.

00This Rule Is Conveniently Expressed By The Formula (X 9) R, In Which X Denotes The Date, And The Symbol R Denotes That The Remainder, Which Arises From The Division Of X 9 By 28, Is The Number Required.

00The Symbol X, Employed In The Formula At The Top Of The Column, Denotes The Number Of Centuries, That Is, The Figures Remaining After The Last Two Have Been Struck Off.

00while W denotes the weight required when the solid not present.

00The essence of the answer is that the universe is inconceivable apart from mind - that existence, as such, denotes conscious spirits and the objects of consciousness.

00This double sex also attributed to Dionysus and Priapus - the union in one being of the two principles of generation and conception - denotes extensive fertilizing and productive powers.

00In medieval and modern times album denotes a book of blank pages in which verses, autographs, sketches, photographs and the like are collected.

00If we write P=p R where P denotes the purity and R the resolving power, we may call p the " purityfactor.

00The addition of the -ati- suffix to the -no- ethnicon, as in Iguvinates, is comparatively rare, and no doubt denotes the opposite process, namely, the absorption of a -no- tribe by a population to whom it was natural to use the suffix -ti-.

00In this latter case the term " Democracy," as applied to the historical development of Great Britain and the United States, denotes a constitutional state in which every citizen has rights proportionate to his energy and intelligence.

00Even at Rome, however, the expression "papal court" (corte roinana) has acquired by usage a sense different from that of the word curia; as in the case of royal courts it denotes the whole body of dignitaries and officials who surround and attend on the pope; the pope, however, has two establishments: the civil establishment, in which he is surrounded by what is termed his "family" (familia); and the religious establishment, the members of which form his "chapel" (capella).

00If we measure the osmotic pressure Po when the solvent is under its own vapour pressure only, that is, when P = p = Po, the term involving V vanishes, and the limit of integration P' becomes Pod-p. If we assume that V', the volume change on dilution, varies regularly or not appreciably with pressure, we may write the first integral as V' (P o -{- p - p') where V' now denotes its mean value between the limits.

00and his successors the coins of Laodicea of Libanus bear the legend " Of Laodicea which is in Canaan "; 1 the Old Testament also sometimes denotes Phoenicia and Phoenicians by " Canaan " and " Canaanites " (Isa.

00PHYSIOGNOMY, the English form of the middle Greek 4uo-coyvwµia, a contraction of the classical ciuotoyvcoµovia (from qSvQCs, nature, and yvc'oµwv, an interpreter), (i) a term which denotes a supposed science for the " discovery of the disposition of the mind by the lineaments of the body " (Bacon); (2) is also used colloquially as a synonym for the face or outward appearance, being variously spelled by the old writers: fysenamy by Lydgate, phisnomi in Udall's translation of Erasmus on Mark iv., physnomie in Bale's English Votaries (i.

00In the New Testament it denotes the native language of Palestine (Aramaic and Hebrew being popularly confused) as opposed to Greek.

00i), which probably denotes some sort of connexion with the Jewish synagogue, though it is difficult to say exactly what it was.

00The whole body, including the back of the neck, is covered with straight silky hair, which denotes quality and lean meat.

00The total number of auroras in the year is taken as 100, and t denotes the time, in months, that has elapsed since the middle of January.

00So again the word mathani is, as Geiger has conjectured, the regular plural of the Aramaic mathnitha, which is the same as the Hebrew Mishnah, and denotes in Jewish usage a legal decision of some of the ancient Rabbins.

00According to Selden it denotes "an excellency or pre-eminence only, not a superiority or power over other dukes, as in archbishop it doth over other bishops."

00Apart from the facts contained in this statement, the phraseology is of some importance, as the district of " Palestinian Syria " clearly includes more than the territory of the Philistines, which the adjective properly denotes (Josephus, Antiquities, i.

00The word " alkali " denotes both soda and potash, but by "alkali manufacture" we understand merely the manufacture of sodium sulphate, carbonate and hydrate.

00To convert parallaxes into distance we may remember that a parallax of i" denotes a distance of 182 billion miles, or 206,000 times the distance of the sun from the earth.

00A parallax of 0.01" denotes a distance a hundred times as great, and so on, the distance and parallax being inversely proportional.

00a, from, prior, Arius, that which is before, precedes), (1) a phrase used popularly of a judgment based on general considerations in the absence of particular evidence; (2) a logical term first used, apparently, by Albert of Saxony (14th century), though the theory which it denotes is as old as Aristotle.

00If we write A=Ma, B=M/32, C=M~y, the formula (37), when referred to the principal axes at 0, becomes if p denotes the perpendicular drawn from 0 in the direction (X, u, e) to a tangent plane of the ellipsoid ~+~+~=I (43)

00where P, as before, denotes the acceleration towards 0.

00L, M, N) denotes the system of extraneous forces referred (like the momenta) to the mass-centre as base, the co-ordinate axes being of course fixed in direction.

00denotes the coefficient of friction for the surfaces in question.

00where 0 denotes the angle made by the helical path of the point with a plane perpendicular to the axis.

00where A denotes some quantity or set of quantities dependng on the form, arrangement, weight and other properties of the mechanism.

00On the one hand it denotes the transition from that period of history which we call the middle ages to that which we call modern.

00If W is the weight required to depress the attracted disk into the same sighted position when the plates are unelectrified and g is the acceleration of gravity, then the difference of potentials of the conductors tested is expressed by the formula V - V'=(d - d') /87 W where S denotes the area of the attracted disk.

00The length of the kamarchin denotes the class of the wearer.

00The NamePersia, in the strict significance of the word, denotes the country inhabited by the people designated as Persians, i.e.

00The device, frequently seen in farmyards, by which the power of a horse is utilized to drive threshing or other machinery, is sometimes described as a "horse-power," but this term usually denotes the unit in which the performance of steam and other engines is expressed, and which is defined as the rate at which work is done when 33,000 lb are raised one foot in one minute.

00In the Iliad the word denotes an underground prison, as far below Hades as earth is below heaven, in which those who rebelled against the will of Zeus were confined.

00In modern usage "chaos" denotes a state of disorder and confusion.

00Beyond the Siwaliks, still looking eastwards, are the sand waves of the Indus plain; a yellow sea broken here and there with the shadow of village orchards and the sheen of cultivation, extending to the long black sinuous line which denotes the fringe of trees bordering the Indus.

00If x denotes the potential energy of unit of mass of the substance, we may treat x as sensibly constant except within a distance e of the bounding surface of the fluid.

00Accordingly Ga Cg T Z I M A 1 Vat Since X Is Undetermined, All That We Can Conclude Is That M Is Of The Form M= Tax(Q 2?, (I) Where F Denotes An Arbitrary Function.

00In the Apostolic age itself, "apostle" often denotes simply an "envoy," commissioned by Jesus Christ to be a primary witness and preacher of the Messianic Kingdom.

0023 (note in these passages the use of o Xaor, which here, as generally in Matthew, denotes the chosen nation), ix.

00The name Retinospora, therefore, does not stand for a true genus, but denotes persistent young forms of Juniperus, Thuja, Cupressus, &c., in which the small scaly leaves of ordinary species are replaced by the slender, needle-like leaves, which stand out more or less at right angles from the branches.

00is only an arithmetical statement in so far as each of the three expressions denotes a numerical quantity (§ II).

00Thus 3 denotes £I taken 3 times.

00In the Hindu system the numbering proceeds by tens, tens of tens, &c.; thus the figure in the fifth place, counting from the right, denotes the product of the corresponding number by four tens in succession.

00The symbol - is used to denote both kinds of division; thus A = n denotes the unit, n of which make up A, and A= B denotes the number of times that B has to be taken to make up A.

00where 4 n P denotes the product of p numbers, each equal to n.

00for expressing rates in the pound; thus 15% denotes the process of taking 3s.

00£153 denotes 15 3 units, each of which is £i or 20s.; and therefore we must multiply 20S.

00The old myths in which Bel of Nippur was celebrated as the hero were transformed by the priests of Babylon in the interest 'The name Mordecai denotes "belonging to Maduk."

00A similar relation exists in thought between the various grades of species and genera; the highest genus is the " infinitely infinite," each subordinated genus being infinite in relation to the particulars which it denotes, and finite when regarded as a unit in a higher genus.

00In mathematics, the term " infinite " denotes the result of increasing a variable without limit; similarly, the term " infinitesimal," meaning indefinitely small, denotes the result of diminishing the value of a variable without limit, with the reservation that it never becomes actually zero.

00As the word frankpledge denotes, these societies were originally concerned only with freemen; but the unfree were afterwards admitted, and during the 13th century the frankpledges were composed chiefly of villains.

00He no doubt criticizes Plato's account of the nature of pleasure, arguing that we cannot properly conceive pleasure either as a " process " or as " replenishment " - the last term, he truly says, denotes a material rather than a psychical fact.

00denotes the product 1.2.

00The following table gives these constants for the regular polyhedra; n denotes the number of sides to a face, n 1 the number of faces to a vertex: - Archimedean Solids.

00Now Fresnel's formulae were obtained by assuming that the incident, reflected and refracted vibrations are in the same or opposite phases at the interface of the media, and since there is no real factor that converts cos T into cos (T+p), he inferred that the occurrence of imaginary expressions for the coefficients of vibration denotes a change of phase other than 7r, this being represented by a change of sign.

00If this be so, it is clear that the factor A / - 1 denotes a change of phase of 42, since this twice repeated converts cos T into cos (T+ir) = - cos T, and hence that the factor a+b A l - I represents a change of phase of tan1 (b/a).

00H is merely an orthographic sign; it is used to indicate that two consecutive vowels do not form a diphthong (vehs raho), and, added to c, it denotes the pronunciation of the guttural c at the end of a word (arnich).

00It denotes the imaginary line about which a body or system of bodies rotates, or a line about which a body or action is symmetrically disposed.

00In geometry, and in geometrical crystallography, the term denotes a line which serves to aid the orientation of a figure.

00The saponification value (saponification number) denotes the number of milligrams which one gramme of an oil or fat requires for saponification, or, in other words, for the neutralization of the total fatty acids contained in an oil or fat.

00The relation then between the work expended and the actual cooling work performed denotes the efficiency of the process, and this is expressed by Qt/(Q2-Q1); but as in a perfect refrigerating machine it is understood that the whole of the heat Q i is taken in at the absolute temperature T 11 and the whole of the heat Q2, is rejected at the absolute temperature T2, the heat quantities are proportional to the temperatures, and the expression T,/(T 2 -T,) gives the ideal coefficient of performance for any stated temperature range, whatever working substance is used.

00A lambda abstraction denotes a function, to apply a lambda abstraction to an argument we use what is called beta-reduction.

00Note: The broken line in the diagram above denotes the general ambit of regulation by the Rail Regulator.

00However, a pit containing a primary pottery assemblage of early 13th century date denotes the nearby presence of a house.

00It has military markings on the dial to indicate this including the broad arrow which denotes HM Government property.

00courier font denotes text that is typed into the search boxes.

00denotes a third-party trademark.

00denotes the covariance matrix of the observations.

00denotes are named with the initial letters denoting which array the site belongs to.

00high density of dots in a region denotes high electron density.

00The welsh word eisteddfod denotes a festival aimed at encouraging literature, music and other cultural pursuits.

00The letter ' he letter ' h ' denotes that the bird was heard but not seen.

00Ordinarily the term denotes a reincarnate lama, but in the terminology of Tibetan religious art it came to designate any outstandingly inspired artist.

00The END statement is not an assembler mnemonic; it just denotes the end of the text.

00The ' @ ' symbol denotes an immediate operand.

00pottery assemblage of early 13th century date denotes the nearby presence of a house.

00The wheat sheaves represent agriculture in the Boro, whilst the fish denotes the salmon found in the River Bann.

00subscript of an array element denotes the address of the element within the array.

00Materials with the same shelfmark are then filed according to a three letter suffix which denotes the author, editor or person written about.

00An asterisk (*) denotes a third-party trademark.

00Trinitarian formulas " God " ALWAYS denotes the Father, never the Son or the Spirit.

00Fichte (the younger) did not escape this misinterpretation of Lotze's true meaning, though they had his Metaphysik and Logik to refer to, though he promised in his Allgemeine Physiologie (1851) to enter in a subsequent work upon the "bounding province between aesthetics and physiology," and though in his Medizinische Psychologie he had distinctly stated that his position was neither the idealism of Hegel nor the realism of Herbart, nor materialism, but that it was the conviction that the essence of everything is the part it plays in the realization of some idea which is in itself valuable, that the sense of an all-pervading mechanism is to be sought in this that it denotes the ways and means by which the highest idea, which we may call the idea of the good, has voluntarily chosen to realize itself.

00where t denotes time counted from (local) midnight, c 1, c 2, c 4, ..

00As a botanical term, ecology denotes that branch of botany which comprises the study of the relations of the individual plant, or the species, or the plant community with the habitat.

00It is the antithesis of "optimism," which denotes the view that on the whole there is a balance of good and pleasure, or at least that in the long run good will triumph.

00Another form of isomerism is occasioned by spatial arrangements, many of the reduced terephthalic acids existing in two stereo-isomeric forms. Baeyer explains this by analogy with fumaric and maleic acids: he assumes the reduced benzene ring to lie in a plane; when both carboxyl groups are on the same side of this plane, the acids, in general, resemble maleic acids, these forms he denotes by rcis-cis, or shortly cis-; when the carboxyl groups are on opposite sides, the acids correspond to fumaric acid, these forms are denoted by rcis-trans, or shortly trans-.

00Asura indicates the more sublime and awful divine character, for which man entertains the greater reverence and fear: daiva denotes the kind gods of light, the vulgar - more sensuous and anthropomorphic - deities.

003, one codex of the Zohar had the following remark: " The first holy denotes the Holy Father, the second the Holy Son, and the third the Holy Ghost " (cf.

00The order of the numbers in the bracket (p l p 2 ...p n) is immaterial; we may therefore always place them, as is most convenient, in descending order of magnitude; the numbers then constitute an ordered partition of the weight w, and the leading number denotes the degree.

001112 which Cayley denotes by (a, b, c, ...)(xi, x2)n (i),(2)Ã¯¿½Ã¯¿½Ã¯¿½ being a notation for the successive binomial coefficients n, 2n (n-I),....

00+QS = 0, for then v8+1+ as+2+Ã¯¿½Ã¯¿½Ã¯¿½+Cre= 0; and each portion raised to any power denotes a seminvariant.

00The number of different symbols a, b, c,...denotes the the covariants are homogeneous, but not in general isobaric functions, of the coefficients of the original form or forms. Of the above general form of covariant there are important transformations due to the symbolic identities: - (Ã¯¿½b) 2 2)2 = a b - a b; (xÃ¯¿½ = as a consequence any even power of a determinant factor may be expressed in terms of the other symbolic factors, and any uneven power may be expressed as the product of its first power and a function of the other symbolic factors.

00Putting q=a+,61+yj+bk, Hamilton calls a the scalar part of q, and denotes it by Sq; he also writes Vq for 01+yj+b Ã¯¿½, which is called the vector part of q.

00Girard is inconsistent in his notation, sometimes following Vieta, sometimes Stevin; he introduced the new symbols ff for greater than and Ã¯¿½ for less than; he follows Vieta in using the plus (+) for addition, he denotes subtraction by Recorde's symbol for equality (=), and he had no sign for equality but wrote the word out.

00With liquid of density p, this gives rise to a kinetic reaction to acceleration dU/dt, given by 7rp b 2 a 2 b l b d J = a 2 +b2 M' dU, if M' denotes the mass of liquid displaced by unit length of the cylinder r =b.

00To find the kinetic energy of such motion in a multiply connected space, the channels must be supposed barred, and the space made acyclic by a membrane, moving with the velocity of the liquid; and then if k denotes the cyclic constant of 0 in any circuit, or the value by which 4) has increased in completing the circuit, the values of 0 on the two sides of the membrane are taken as differing by k, so that the integral over the membrane dS= k f ?

00Now if k denotes the component of absolute velocity in a direction fixed in space whose direction cosines are 1, m, n, k=lu+mv+nw; (2) and in the infinitesimal element of time dt, the coordinates of the fluid particle at (x, y, z) will have changed by (u', v', w')dt; so that Dk dl, do dt dt dt dt + dtw +1 (?t +u, dx +v, dy +w, dz) +m (d +u dx + v dy +w' dz) dw, dw +n (dt ?dx+v?dy +w dz) But as 1, m, n are the direction cosines of a line fixed in space, dl= m R-n Q, d m = nP-lR an =1Q-mP dt dt ' dt ' so that Dk __ du, du, du, du dt l (dt -vR+ wQ+u + v dy + w dz) +m(..

00(9) c 2 Ci If the shot is moving as if fired from a gun of calibre d inches, in which the rifling makes one turn in a pitch of n calibres or nd inches, so that the angle S of the rifling is given by tan S = ird/nd = 2 d p/u, (10) 'Ã‚°If a denotes the density of the metal, and if the shell has a cavity homothetic with the external ellipsoidal shape, a fraction f of the linear scale; then the volume of a round shot being sird 3, and sird 3 x of a shot x calibres long W =*ird 3 x(I -f 3)v, (20) 2 Wki 2= 61rd 3 xo(I-f 5)Q, (21) Wk22=67rd3x 2 2+0 2(I - f5)Q.

00to be thought of only as a distinguishing attribute of Greatness and as our English word Lord is; and that without any relation of it to an Interest of property or to servitude, and only as it denotes such Superiours as King or Subjects of the greater Nobility with us and men of special Eminency in other States, known by the names of Heeren, Dons, Sieurs, signiors, seigneurs.

00that the book is directed against Rome, that Nero redivivus is to be recognized in the wounded head, that the number 666 denotes Nero Caesar, and that in chap. xi.

00mucilago, a mouldy juice, from mucere, to be mouldy), a term which denotes a viscid or glutinous mixture of water and any gummy vegetable substance (see Gum).

00Starting from any ordinate ue,o, the result of integrating with regard to x through a distance 2h is (in the example considered in § 61) the same as the result of the operation 3h(I + 4E + E 2), where E r denotes the operation of changing x into x+h (see Differences, Calculus oF).

00Conventionally, then, the title denotes the group of writings which, whether in date or in internal character, are regarded as belonging to the main stream of the Church's teaching during the period between the Apostles and the Apologists (i.e.

0020 seq., that this phrase denotes a human holocaust,' and not, as sometimes has been thought, a mere consecration to Molech by passing through or between fires, as in the Roman Palilia and similar rites elsewhere (on which see Frazer, Golden Bough, 2nd ed., ii.

00Resolving normally in the trajectory, and supposing the resistance of the air to act tangentially, (18) v(di/dt) =g cos i, where di denotes the infinitesimal decrement of i in the infinitesimal increment of time dt.

00w /nd2 = C, (16) S(V) - S(v) = for cos i to be undistinguishable from unity, equation (16) becomes In a problem of direct fire, where the trajectory is flat enough (19) v(di/dt=g, or di/dt=g/v; so that we can put (20) Ai/ At.t = g/v, if v denotes the mean velocity during the small finite interval of time At, during which the direction of motion of the shot changes through Ai radians.

00midrash from darash "to search out, enquire ") denotes some explanation or exposition, which, in contrast to the more literal exegesis (technically called peshat " simple "), endeavours to reach the spirit lying below the text.

00(d) The term "weight" denotes a magnitude of the same nature as a force; the weight of a body is the product of the mass of the body by the acceleration of gravity; in particular, the normal weight of a body is the product of the mass of the body by the normal acceleration of gravity.

00Thus if x= log x =1 - where the path of integration in the plane of the complex variable t is any curve which does not pass through the origin; but now log x is not a uniform function, that is to say, if x describes a closed curve it does not follow that log x also describes a closed curve: in fact we have log (E +in) = log,/ Q 2 +7)2) t i (a + 2 n 7r), where a is the numerically least angle whose cosine and sine are (2 +n 2) and 71/,i (t 2 +n 2), and n denotes any integer.

00The small ratio, or ratiuncula, is in fact that of the millionth root of to to unity, and if we denote it by the ratio of a to 1, then the ratio of 2 to I will be nearly the same as that of a301'Ã‚°30 to i, and so on; or, in other words, if a denotes the millionth root of 10, then 2 will be nearly equal to a 301,030, 3 will be nearly equal to a477,1u, and so on.

00The verb, which is properly a kind of noun or participle, has no element of person, and denotes the conditions of tense and mood by an external and internal inflexion, or the addition of auxiliary verbs and suffixes when the stem is not susceptible of inflexion, so that instead of saying " I go," a Tibetan says " my going."

00idium), a reduced fertilization which denotes their derivation, through the Uredineae, from more typically sexual forms. No one has yet t.-ade out in any form the exact way in which the association of nuclei tr -.-es place in the group. The mycelium is always found to contain conjugate nuclei before the formation of basidia, but the point at which the conjugate condition arises seems very variable.

00The so-called prairie-dogs, which are smaller and more slender North American rodents with small cheek-pouches, form a separate genus, Cynosnys; while the term pouched-marmots denotes the various species of souslik, Spermophilus (or Citillus), which are common to both hemispheres, and distinguished by the presence of large cheek-pouches (see RODENTIA).

00Humanism, a word which will often recur in the ensuing paragraphs, denotes a specific bias which the forces liberated in the Renaissance took from contact with the ancient world, - the particular form assumed by human self-esteem at that epoch, - the ideal of life and civilization evolved by the modern nations.

00By the ancients this name, signifying a strait, was especially applied to the Bosporus Cimmerius (see below), and the Bosporus Thracius; but when used without any adjective it now denotes the latter, which unites the Black Sea with the Sea of Marmora and forms part of the boundary between Europe and Asia.

00Probably, in the remote past violent religious disputes and feuds broke out: for otherwise it is almost inexplicable that the old Indo-~European word, which in India, also, denotes the godsdevashould be applied by the Iranians to the malignant demons or devils (daeva; mod.

00This may have been so to some degree; but Papias (whose name itself denotes that he was of the native Phrygian stock, and who shared the enthusiastic religious temper characteristic of Phrygia, see Montanism) was nearer in spirit to the actual Christianity of the sub-apostolic age, especially in western Asia, than Eusebius realized.

00Eliminating dS from equations (is) and (14), and dividing by S, we find T = e - v??, (15) In this expression a denotes the mass of unit of area of the film, and e the energy of unit of area.

00In philosophy it denotes in its broadest sense the theory (e.g.

00It is from a combination of these two meanings that the thieves' slang phrase "ringing the changes" arises; it denotes the various methods by which wrong change may be given or extracted, or counterfeit coin passed.

00The subscript of an array element denotes the address of the element within the array.

00Also, in trinitarian formulas " God " ALWAYS denotes the Father, never the Son or the Spirit.

00The asterisk denotes that instruction requires a set of x-axis data.

00"Bespoke" denotes a product that is custom-made to the buyer's specification, such as a tailored suit.

00It denotes a promise to be faithful to the other person and that the courtship is serious.

00While the snappy casual dress code denotes something up to the minute, remember that everything old is new again, too.

00The term denotes access, but not how much nor the density of that space.

00If homogeneous liquid is drawn off from a vessel so large that the motion at the free surface at a distance may be neglected, then Bernoulli's equation may be written H = PIP--z - F4 2 / 2g = P/ p +h, (8) where P denotes the atmospheric pressure and h the height of the free surface, a fundamental equation in hydraulics; a return has been made here to the gravitation unit of hydrostatics, and Oz is taken vertically upward.

01

The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.