## Denotes Sentence Examples

- This 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. - This latter type appears to be the true "tabby"; since that word
**denotes**a pattern like that of watered silk. **Denotes**radiator V.- The 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. - Properly speaking, "Hebrew Literature"
**denotes**all works written in the Hebrew language. - A 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. - - With a few exceptions the Limicolae are, as the name
**denotes**, aquatic in habit. - It 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. - In astronomy the word
**denotes**the angular distance of a body from the pericentre of the orbit in which it is moving. - The 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. - The 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." - Tantalus'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. - Thus
**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. - It 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. - The 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. - The term primarily
**denotes**" reception " and then " doctrines received by tradition." - If 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. - The 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. - The 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. - 1 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. - = exp,udl where exp
**denotes**(by the rule over exp) that the multiplication of operators is symbolic as in Taylor's theorem. - Di
**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. - From 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 +... - =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. - In 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. - Such a symbolic product, if its does not vanish identically,
**denotes**an invariant or a covariant, according as factors az, bz, cz,... - +QS = 0, for then v8+1+ as+2+ï¿½ï¿½ï¿½+Cre= 0; and each portion raised to any power
**denotes**a seminvariant. - (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'. - If 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. - The 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. - There 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 . - For 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. - These 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). - In 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. - The 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. - Generally 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. - If 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. - If 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. - 208.) 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 ... - With 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. - 0= {(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. - Now 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(..