Q Sentence Examples
Its area is 999 s q.
Let P, Q denote the normal thrust across the sides bc, ca, and R the normal thrust across the base ab.
But the faces bc, ca, over which P and Q act, are also equal, so that the pressure on each face is equal.
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.
I n a straight uniform current of fluid of density p, flowing with velocity q, the flow in units of mass per second across a plane area A, placed in the current with the normal of the plane making an angle 0 with the velocity, is oAq cos 0, the product of the density p, the area A, and q cos 0 the component velocity normal to the plane.
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.
In particular, for a jet issuing into the atmosphere, where p=P, q 2 /2g = h - z, (9) or the velocity of the jet is due to the head k-z of the still free surface above the orifice; this is Torricelli's theorem (1643), the foundation of the science of hydrodynamics.
The components of velocity of the moving origin are denoted by U, V, W, and the components of angular velocity of the frame of reference by P, Q, R; and then if u, v, w denote the components of fluid velocity in space, and u', v', w' the components relative to the axes at a point (x, y, z) fixed to the frame of reference, we have u =U +u' - yR +zQ, v =V +v -zP +xR, w=W +w -xQ +yP.
The 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.
Ja - u ?I a -a b -u' sh nS2=sh log (Q)=?a - b a - a' b - u' At x where = co, u = o, and q= go, (O n b - a ' a + a -b a' cio) - ?a-a'?b a-a' q In crossing to the line of flow x'A'P'J', b changes from o to m, so that with q = Q across JJ', while across xx the velocity is qo, so that i n = go.
AdvertisementTaking Ox along OS, the Stokes' function at P for the source S is p cos PSx, and of the source H and line sink OH is p(a/f) cos PHx and - (p/a) (PO - PH); so that = p (cos PSx+f cos PHx PO a PH), (q) and Ili = -p, a constant, over the surface of the sphere, so that there is no flow across.
Thus if T is expressed as a quadratic function of U, V, W, P, Q, R, the components of momentum corresponding are dT dT dT (I) = dU + x2=dV, x3 =dW, dT dT dT Yi dp' dQ' y3=dR; but when it is expressed as a quadratic function of xi, 'x2, x3, yi, Y2, Y3, U = d, V= dx, ' w= ax dT Q_ dT dT dy 1 dy2 dy The second system of expression was chosen by Clebsch and adopted by Halphen in his Fonctions elliptiques; and thence the dynamical equations follow X = dt x2 dy +x3 d Y = ..., Z ..., (3) = dt1 -y2?y - '2dx3+x3 ' M =..
If 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.
The curves Pa4Q, having a minimum at a4, Pa3Q, having a maximum at a 31 and Pa 5 Q, with neither a maximum nor minimum, correspond to the types i., ii., iii.
In such a diagram, a point P defines a particular mixture, both as to percentage, composition and temperature; a vertical line through P corresponds to the mixture at all possible temperatures, the point Q being its freezing-point.
AdvertisementIf the two small conducting spheres are placed with centres at a distance d centimetres, and immersed in an insulator of dielectric constant K, and carry charges of Q and Q' electrostatic units respectively, measured as above described, then the mechanical force between them is equal to QQ'/Kd 2 dynes.
If a small conducting body is charged with Q electrostatic units of electricity, and placed in any electric field at a point where the electric force has a value E, it will be subject to a mechanical force equal to QE dynes, tending to move it in the direction of the resultant electric force.
In the same manner, if an electrified body carries a positive charge Q electrostatic units and is placed in an electric field at a place where the electric force or electromotive intensity has a value E units, it is urged in the direction of the electric force with a mechanical force equal to QE dynes.
We must, however, assume that the charge Q is so small that it does not sensibly disturb the original electric field, and that the dielectric constant of the insulator is unity.
Returning to the case of the charged body with the space around it cut up into electric cells by the tubes of force and shells of potential, it is obvious that the number of these cells is represented by the product QV, where Q is the charge and V the potential of the body in electrostatic units.
AdvertisementAn electrified conductor is a store of energy, and from the definition of potential it is clear that the work done in increasing the charge q of a conductor whose potential is v by a small amount dq, is vdq, and since this added charge increases in turn the potential, it is easy to prove that the work done in charging a conductor with Q units to a potential V units is z QV units of work.
Thus, consider a sphere uniformly charged with Q units of positive electricity.
But the charge is Q = 21rra, and therefore the capacity of the thin wire is given by C =1/2 log e llr (2).
Thus if Q is the surface density, S the thickness of the shell at any point, and p the assumed volume density of the matter of the shell, we have v =Abp. Then the quantity of electricity on any element of surface dS is A times the mass of the corresponding element of the shell; and if Q is the whole quantity of electricity on the ellipsoid, Q =A times the whole mass of the shell.
This mass is equal to 47rabcp,u; therefore Q = A47rabcp s and b =pp, where p is the length of the perpendicular let fall from the centre of the ellipsoid on the tangent plane.
AdvertisementHence the density v is given by 47rabc (x2/a4+y2/b4-I-z2/c4), and the potential at the centre of the ellipsoid, and therefore its potential as a whole is given by the expression, adS Q dS V f r 47rabc r' (x2/a4-I-y2/b4+z2/c4) Accordingly the capacity C of the ellipsoid is given by the equation 1 I J dS C 47rabc Y (x 2 +y 2 + z2) V (x2/a4+y2/b4+z2/c4) (5) It has been shown by Professor Chrystal that the above integral may also be presented in the form,' foo C 2 J o J { (a2 + X) (b +X) (c 2 + X) } (6).
If we consider a length l of the cylinder, the charge Q on the inner cylinder is Q=27rR l ly, where v is the surface density, and by Coulomb's law v = E i /47r, where E 1 = A/R 1 is the force at the surface of the inner Ai cylinder.
Let V 1 and V2 be the potentials of the plates, and let a charge Q be given to one of them.
Then this produces a charge - Q on the inside of the enclosing spherical shell, and a concentric charge +Q on the outside of the shell.
Then when the inner cylinder is at potential V 1 and the outer one kept at of two potential V 2 the lines of electric force between the cylinders Q (4).
For if C l and C2 are the capacities and Q i and Q2 are the charges after contact, then Qi/CI and Q2/C2 are the potential differences of the coatings and must be equal.
Hence Qi /CI =Q2/C2 or Q I /Q 2 =C I /C 2.
It has been shown above that the potential due to a charge of q units placed on a very small sphere, commonly called a point-charge, at any distance x is q/x.
Then the electric force due to the point s' charge q at distance x is q/x, and the resolved part normal to the element of surface dS is q cos0/x 2.
Accordingly, since the total solid angle round a point is 47r, it follows that the total flux through the closed surface due to the single point charge q is 41rq, and what is true for one point charge is true for any collection forming a total charge Q of any form.
Hence the total electric flux due to a charge Q through an enclosing surface is 41rQ, and therefore is zero through one enclosing no electricity.
The electric force due to a point-charge q at a distance r is defined to be q/r 2, and the total flux or induction through the sphere of radius r is therefore 41rq.
Every tube of electric force must therefore begin and end on electrified surfaces of opposite sign, and the quantities of positive and negative electricity on its two ends are equal, since the force E just outside an electrified surface is normal to it and equal to a/41r, where a is the surface density; and since we have just proved that for the ends of a tube of force EdS = E 1 dS', it follows that adS = a'dS', or Q = Q', where Q and Q' are the quantities of electricity on the ends of the tube of force.
If then we put a negative point-charge -qr/d at B, it follows that the spherical surface will be a zero potential surface, for q rq 1 (24).
If we make a distribution of negative electricity over it, which has a density a varying according to the law a = -(d 2 -r 2) q /42rr AP3.
The brass tube, strengthened at the bearing points by strong truly turned collars, rotates in the cast iron cradle q attached to the declination axis.
The tube V, on the contrary, is attached to the cradle, and merely forms a support for the finder Q, the handles at f and p, and the moving ring P. The latter gives quick motion in position angle; the handles at p clamp and give slow motion in position angle, those at f clamp and give slow motion in right ascension and declination.
Of the rest, P and Q are imperfect.
Two equal sprocket wheels Q 1, Q 2, are fastened, the one to the spring pulley, the other to the shaft.
If a force Q acting at R maintains equilibrium, QR/4 = (P - p)r =T.
Q is supplied by a spring, the extensions of which are recorded on a drum driven proportionally to the angular displacement of the driving pulley; thus a work diagram is obtained.
The force Q, usually measured by a spring, required to maintain the beam in its central position is proportional to (P - p).
If the angle 0 1 =0 2 =120 0, Q = (P - p) neglecting friction.
If 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,.
As might have been anticipated, this caused no break in the policy of the English king and his parliament, and a series of famous acts passed in the year 1534 completed and confirmed the independence of the Church of England, which, except during five years under Queen Mary, p g Y Q Y?
They held frequent Art of y q war.
The introduction of trunnionless guns recoiling axially through a fixed cradle enabled sights to be attached to the non-recoil parts of the mounting, so that the necessity of removing a delicate telescopic sight every round disappeared, and Q?'
If a .JP solid circle be fixed in any one position and a tube be pivoted on its centre so as to move; and if the line C D be drawn upon the circle pointing towards any object Q in the heavens which lies in the plane of the circle, by turn ing the tube A B towards any other object P in the plane of the circle, the angle B 0 D will be the angle subtended by the two objects P and Q at the eye.
Then MA'B'N is a right trapezium, whose area is equal to that of Cabd; and it is related to the latter in such a way that, if any two lines parallel to AC and BD meet AB, CD, MN, A'B', in E, G, P, E', and F, H, Q, F', respectively, the area of the piece PE'F'Q of the right trapezium 'B.
This would involve p and q; but, for our purposes, the data are the sides pa+q and pb+q and the base b - a, and the expression of the integral in terms of these data would require certain eliminations.
By drawing Ac and Ad parallel to BC and BD, so as to meet the plane through CD in c and d, and producing QP and RS to meet Ac and Ad in q and r, we see that the area of Pqrs is (x/h - x 2 /h 2) X area of cCDd; this also is a quadratic function of x.
The methods of §§ 59 and 60 can similarly be extended to finding the position of the central ordinate of a briquette, or the mean q th of elements of the briquette from a principal plane.
Combining this with the first equation, we obtain the values of P, Q, R, ..
The general expression, if p, q, r,..
At J the displacement is forward, but since the curve at Q is parallel to the axis the displacement is approximately the same for all the points close to J, and the air is neither extended nor compressed, but merely displaced bodily a distance represented by JQ.
Take a point P in the disturbed part, and a point Q which the disturbance has not yet reached.
Since the conditions in the region PQ remain always the same, the momentum perpendicular to AB entering the region at Q is equal to the momentum perpendicular to AB leaving the region at P. But, since the motion at Q is along AB, there is no momentum there perpendicular to AB.
The 2nd Army then turned northward (3rd, q th, 5th and 6th divisions).
Draw a vertical at D, intersecting fh, kg, in s and q.
The polarization itself is determined from the electric force (P,Q,R) by the usual statical formula of linear type which becomes tor an isotropic medium (.f',g',h') = c2(P,Q,R), because any change of the dielectric constant K arising from the convection of the material through the aether must be independent of the sign of v and therefore be of the second order.
Now the electric force (P,Q,R) is the force acting on the electrons of the medium moving with velocity v; consequently by Faraday's electrodynamic law (P,Q,R) = (P',Q' - vc, R'+vb) where (P',Q',R') is the force that would act on electrons at rest, and (a,b,c) is the magnetic induction.
If v varies with respect to locality, or if there is a velocity of convection (p,q,r) variable with respect to direction and position, and analytical expression of the relation (ii) assumes a more complex form; we thus derive the most general equations of electrodynamic propagation for matter treated as continuous, anyhow distributed and moving in any manner.
The ectoderm loses entirely the ciliation which it had in the planula and actinula stages and commonly secretes on its external surface a protective or supporting investment, the perisarc. Contrasting with this, the anthopolyp is generally of s q uat form, the diameter often exceeding the height; the peristome is wide, a hypostome is lacking, and the ectoderm, or so much of it as is exposed, i.e.
It never had a chance contedera- q tion of Bar.
Replacing then the angle i on the right-hand side of equations (54) - (56) by some mean value, t, we introduce Siacci's pseudovelocity u defined by (59) u = q sec, t, so that u is a quasi-component parallel to the mean direction of the tangent, say the direction of the chord of the arc.
Since loge(I +x) =x-2x 2 -3x 3 - 4x4+&c., we have, by changing the sign of x, log e (I - x) _ - x - zx 2 - 3x 3 - x 4 - &c.; whence g 1 +x to=2(x+ix'+1x5+&c.), e l - x and, therefore, replacing x by p +q, log e q =2 p +q +3 () 3T ?
It was, however, a consequence of his work that in q 1786 the provinces and kingdoms were replaced by twelve intendencias (Guadalajara, Zacatecas, Durango, Sonora, Puebla, Vera Cruz, Merida, Oaxaca, Valladolid, Guanajato, San Luis Potosi, Mexico), whose governors and minor officials were directly dependent on the viceroy, the former alcaldes, mayores and corregidores, who were very corrupt, being abolished.
Thus we regard Rotifers as an independent stem branching off at the outset of the rise from the Platode type to higher Invertebrata The Polyzoa (q v), which in many ways recall Rotifers, appear to be equally independent.
One of these diminutive convents is appropriated to the "oblati" or novices (Q), the other to the sick monks as an "infirmary" (R).
As peculiarities of arrangement may be noticed the position of the kitchen (Q), between the refectory and calefactory, and of the infirmary (W) (unless there is some error in its designation) above the river to the west, adjoining the guest-houses (XX).
This page gives an overview of all articles in the 1911 Brittanica which are alphabetized under Q to Quo.
Among the Chinese the name of the silkworm is " si, " Korean " soi "; to the ancient Greeks it became known as Q?p, the nation whence it came was to them ?r?pE S and the fibre itself o ptKc v, whence the Latin sericum, the French soie, the German Seide and the English silk.
A discussion of band spectra on a very broad basis was given by Thiele,' who recommends a formula - q +qi(s+c)+ +qr(s+c)r n in the discharge, except within the region of the kathode glow.
But some have maintained that the source in question also contained a good many narratives, and in order to avoid any premature assumption as to its contents and character several recent critics have named it " Q."
On the other hand there are two or three forms called Sabine by Latin writers which do appear to show the sound q unchanged, especially the name of the Sabine god Quirinus, which seems to be at least indirectly connected with the name of the Sabine town Cures.
Omitting correction terms depending on the temperature and on the inductive effect of the earth's magnetism on the moment of the deflecting magnet, if 0 is the angle which the axis of the deflected magnet makes with the meridian when the centre of the deflecting magnet is at a distance r, then zM sin B=I+P+y2 &c., in which P and Q are constants depending on the dimensions and magnetic states of the two magnets.
The value of the constants P and Q can be obtained by making deflexion experiments at three distances.
It is, however, possible by suitably choosing the proportions of the two magnets to cause either P or Q to be very small.
Thus it is usual, if the magnets are of similar shape, to make the deflected magnet 0.467 of the length of the deflecting magnet, in which case Q is negligible, and thus by means of deflexion experiments at two distances the value of P can be obtained.
It was by its constant reliance on monachism that the papacy of the 12th century had attained this result, and the popes of that period were especially fortunate in having for their champion the monk St Bernard, whose admirable qualities enabled him to dominate public q P opinion.
This outer court also contains the guest-chambers (P), the stables and lodgings of the lay brothers (N), the barns and granaries (Q), the dovecot (H) and the bakehouse (T).
The other images on the parhelic circle are the paranthelia (q) and the anthelion (a) (from the Greek av-ri, opposite, and iXcos, the sun).
The paranthelia (q) may be due to two internal or two external reflections.
Let A and C be two fixed disks, and B a disk which can be brought at will within a very short distance of either A or C. Let us suppose all the plates to be equal, and let the capacities of A and C in presence of B be each equal to p, and the coefficient of induction between A and B, or C and B, be q.
A small charge Q is communicated to A, and A is insulated, and B, uninsulated, is brought up to it; the charge on B will be - (q/p)Q.
It is obvious that at the end of n such operations the charge on A will be r n Q, so that the charge goes on increasing in geometrical progression.
Q' Penan?h g Prov.Welleley 3 s 0 -.._ .,.0 1=Higher 2 = Longitude East too ore Arch.
Before the teleutospore reaches maturity the nuclei fuse, and the uninucleate condition Q C then continues again until aeci dium formation.
In other words, the composition of the frozen part and that of the mother-metal respectively are p and q at the beginning of the freezing, and r and t' at the end; and during freezing they slide along Aa and AB from p to r and from q to t'.
To take the simple case of the " wall " or flat plate considered by Fourier for the definition of thermal conductivity, suppose that a quantity of heat Q passes in the time T through an area A of a plate of conductivity k and thickness x, the sides of which are constantly maintained at temperatures B' and 8".
If Q is expressed in terms of this unit in equation (I), it is necessary to divide by c, or to replace k on the right-hand side by the ratio k/c. This ratio determines the rate of diffusion of temperature, and is called the thermometric conductivity or, more shortly, the diffusivity.
The heat Q transmitted in a given time T may be deduced from an observation of the rise of temperature of the water, and the amount which passes in the interval.
The heat per second gained by conduction by an element dx of the bar, of conductivity k and cross section q, at a point where the gradient is dB/dx, may be written gk(d 2 6/dx 2)dx.
The last expression in terms of k/k' is very simple, but the first is more useful in practice, as the quantities actually measured are E, C, 1, q, and the difference of temperature.
Density thgllsh per q.
Wars and con conquests between Greeks and Greeks, especially on the q p y part of Syracuse, though not wanting, have been on the whole less constant than in old Greece.
In Rome, in 1844, his eldest da q ghter, Julia Romana (afterwards the wife of Michael Anagnos, Dr Howe's assistant and successor), was born, and in September the travellers returned to America, and Dr Howe resumed his activities.
The loss of Norway necessitated considerable reductions of expenditure, but the economies actually practised fell far short of the requirements of y P q after 1815.
There is a central region, roughly triangular in shape, with its base resting upon the Quaternary K Triassic Tertiary Carboniferous q & Metamorphic 7 Jurassic Aegean Sea and its apex in Servia.
Adams (ed.), Memoirs of John Q uincy Adams, comprising portions of his diary from 1795 to 1848 (12 vols., Philadelphia, 1874-1877).
The mixture is fed in continuously to the central pan (e), whence it overflows into the compartments (c'), (c 2), (c 3) successively until it reaches the circumference, where it is discharged continously by o and into the collecting-box (q), being now converted into salt-cake.
The current is supplied by accumulators, and the switch-board is ^ q attached to the platform in a position convenient for use by the astronome his assistant.
A small graduated circle p concentric with A is attached to the circular base b and read by the microscopes q r, attached to a.
P Q B R' S R S being the sun.
As we see from Lotze's own defence, the conclusion cannot be drawn without another premise or premises to the effect that " S, Q, R, are /, and is the one real subject of M."
Any quaternion may now be expressed in numerous simple forms. Thus we may regard it as the sum of a number and a line, a+a, or as the product, fly, or the quotient, be-', of two directed lines, &c., while, in many cases, we may represent it, so far as it is required, by a single letter such as q, r, &c.
And one of Hamilton's earliest advances in the study of his system (an advance independently made, only a few months later, by Arthur Cayley) was the interpretation of the singular operator q()q1, where q is a quaternion.
Clifford makes use of a quasi-scalar w, commutative with quaternions, and such that if p, q, &c., are quaternions, when p-I-wq= p'+wq', then necessarily p= p', q = q'.
The axis of the member xQ+x'Q' of the second-order complex Q, Q' (where Q=nq+wr, Q'=nq'+wr' and x, x' are scalars) is parallel to a fixed plane and intersects a fixed transversal, viz.
If Q= Ep+nq+wr and we put Q= (I +Zwt)(Ep-i-nq)X (1 Zwt) -1 we find that the quaternion t must be 2f (r) /f (q - p), where f(r)=rq - Kpr.
The point p=Vt may be called the centre of Q and the length St may be called the radius.
If Q and Q' are commutative, that is, if QQ' = Q'Q, then Q and Q' have the same centre and the same radius.
It therefore made the aspirates A, E, Q and the semi-vowel I into vowels, and apparently converted the semi-vowel Y = w into the vowel which it placed at the end of the alphabet and substituted for it as the sixth symbol of the alphabet the letter F with the old value of w.
For the Greek digamma Etruscan used both 3 and q, but the former only was borrowed by the other languages.
Q is found on Etruscan inscriptions, but not in the alphabet series preserved; neither Umbrian nor Oscan has this form.
Lobo wrote an account of his travels in Portuguese, which appears never to have been printed, but is deposited in the monastery of St Ro q ue, Lisbon.
It gives shelter not only to vessels plying to its adjoining ports but serves as a harbour of refuge for shipping bound up or down the Atlantic coast, and is fre q uently used for the assembling of naval fleets.
Thus, if the two forces P,Q be represented by the lines OA, OB, they can be replaced by a single force FIG.
Hence if forces P, Q act in OA, OB, the resultant R will pass through C, provided m=P/OA, n=Q/OB;
If we now imagine the point 0 to recede to infinity, the forces P, Q and the resultant R are parallel, and we have R=P+Q, P.AC=Q.CB.
When P, Q have opposite signs the point C divides AB externally on the side of the greater force.
If F, Q, R, be any three forces acting along BC, CA, AB, respectively, the line of action of the resultant is determined by the consideration that the sum of the moments about any point on it must vanish.
Again if PQ be any segment of the beam which is free from load, Q lying to the right of P, we find FPFQ, MPMQ=--F.PQ; (12)
Each extraneous force W acting on a bar may be replaced (in an infinite number of ways) by two components P, Q in lines through the centres of the pins at the extremities.
In practice the forces W are usually vertical, and the components P, Q are then conveniently taken to be vertical also.
We first alter the problem by transferring the forces F, Q to the pins.
The assemblage of parallel forces P can be replaced in general by a single force, and the coplanar system of forces Q by another single force.
The plane in question is called the null-plane of P. If the null-plane of P pass through Q, the null-plane of will pass through P, since PQ is a null-line.
General Motion of a ParticleLet P, Q be the positions of a moving point at times t, t+t respectively.
Let P, Q be the positions of a u-i.aa moving point at times t, t + &, V Q
For consider any two particles at P and Q, acting on one another with equal and opposite forces in the line PQ.
For in time t the mutual action between two particles at P and Q produces equal and opposite momenta in the line PQ, and these will have equal and opposite moments about the fixed axis.
The equation of the latter, referred to its principal axes, being as in II (41), the co-ordinates of the point J where it is met by the instantaneous axis are proportional to p, q, r, and the direction-cosines of the normal at J are therefore proportional to Ap, Bq, Cr, or X, u, v.
The motion of a rigid body in the most general case may be specified by means of the component velocities u, v, w of any point 0 of it which is taken as base, and the component angular velocities p, q, r.
If we eliminate P, Q, R from (22), the resulting equations are integrable with respect to t; thus Moa - M0a.
If 01 be drawn vertically upwards, then in the beginning of the disturbed motion the quantities x, y, p, q, P, Q will all be small.
If p, q, r be the component angular velocities about the principal axes at 0, we have (Ap+B2q+C,2)/r = (Ap+Bq1+Cr2)/2T, (3) each side being in fact equal to unity.
The moving axes Ox, Oy, 01 form a rigid frame of reference whose motion at time t may be specified by the three component angular velocities p, q, r.
When, in any problem, the values of u, v, w, p, q, r have been determined as functions of t, it still remains to connect the moving axes with some fixed frame of reference.
Since an, = a,r, the coefficient of Q, in the expression for qr is identical with that of Q,- in the expression for q,.
But, p and q being respectively the perpendiculars to the lines of action of the forces, this equation reduces to Pp=Rq, FIG.
Q the letter which immediately succeeds P in the alphabet of Latin and the modern languages of western Europe.
In the Phoenician alphabet a sibilant Zade (Tzaddi) stands between q and p. Hence Q is the nineteenth letter in the Phoenician alphabet, the eighteenth in the Greek numerical alphabet, which alone contains it, the sixteenth (owing to the omission of 8 and E) in the Latin, and (from the addition of J) the seventeenth in the English alphabet.
This is also the earliest form in the Latin alphabet, but forms with the upright turned to the right as in a modern Q are found in the Republican period, while this tail becomes longer and curved in the early Empire.
Many languages find the combination qu, when both sounds are consonantal (qw), difficult; q being the deepest guttural while u (English w) is a lip sound, the points of production are nearly as far separate as they can be.
The Venetians q retained their acquisition for eighty-two years, notwithstanding the neighbourhood of the Turks.
The velar tenuis q, when labialized, became qu, without labialization became k; the velar media g became b or g.
Their numerators are denoted by Pi, P2, their denominators by q,, q2, q3, We have the relations p n = an pn-1 +bn pn-2, qn = angn-1 +bngn-2.
If r be the number of quotients in the recurring cycle, we can by writing down the relations connectin g the successive p's and q's obtain a linear relation connecting p nr +m, t'(n-1)r +m, +m in which the coefficients are all constants.
The functions p n and q n, regarded as functions of a l,..
The Celts represented Indo-European q by p, whilst the Greeks, Illyrians, Thracians, Ligurians, and aborigines of France, Britain and Ireland represented it by k, c or qu.
For if in the triangle abc the side ab is taken so as to represent on a given scale the tension of the surface of contact of the fluids a and b, and if the other sides be and ca are taken so as to represent on the same scale the tensions of the surfaces between b and c and between c and a respectively, then the condition of equilibrium at 0 for the corresponding tensions R, P and Q is that the angle ROP shall be the supplement of abc, POQ of bca, and, therefore, QOR of cab.
If T12 denote the interfacial tension, the energy corresponding to unit of area of the interface b Q FIG.
The second minus the first, or the increase in the sum of tensions, is thus 2 (U n - o' n+l) (o n+ 1 - Q n +2) Hence, if an+1 be intermediate in magnitude between a,, and a71+2, the sum of tensions is increased by the abolition of the stratum; but, if a-n+1 be not intermediate, the sum is decreased.
The degree of instability, as measured by q, is not to be determined from statical considerations only; otherwise there would be no limit to the increasing efficiency of the longer wavelengths.
It appears that the value of q may be expressed in the form q=1,1.
Thus, if d= 1, q -1 -= -115; or for a diameter of one centimetre the disturbance is multiplied 2.7 times in about one-ninth of a second.
Then if p be the density of the upper liquid, and Q that of the lower liquid, and P the original pressure at the surface of separation, then when the surface receives an upward displacement z, the pressure above it will be P - pgz, and that below it will be P - Ogz, so that the surface will be acted on by an upward pressure (p - Q)gz.
In some filamentous forms this " fragmentation " into multicellular pieces of equal length or nearly so is a normal phenomenon, each partial filament repeat s ing the growth, division and q?
C D 0K2, a b c m Q c 6 L -...
The Czech (Cech) alphabet is the same as the English, with the omission of the letters q, w and x.
The arrows m, n, o, p, q, r indicate the direction of travel.
Bay ll c t ' LY Q " yy be Pony.
In the second memoir he reserved for further consideration several ine q ualities of the moon's motion, which he could not determine in his first theory on account of the complicated calculations in which the method he then employed had engaged him.
This upper steelyard is arranged as in fig 9, where A is the point where the pull of the long body lever due to the weight of the goods on the platform comes upon the steelyard; C is the fulcrum of the steelyard, which with the steelyard can be slid to and fro on the frame of the machine; and Q 8 s frl FIG.
The steelyard is exactly in balance when there is no weight on the platform and Q is at the zero end of its run, at 0.
Let the lower bar of the steel yard be graduated in equal divisions of length, d, each of which represents one penny, so that the distance CA =q X d represents q pence.
Then the number p X q represents the total value of the goods on the platform.
If therefore the upper bar be graduated in divisions, each of which is 4, the indication of the poise Q, viz.
Thus to ascertain the value of goods on the platform of unknown weight at a given price per lb, it is only necessary to slide the steelyard till the weight acts at the division which represents the price per lb, and then to move the poise Q till the steelyard is in balance; the number of the division which defines the position of the poise Q will indicate the sum to be paid for the goods.
Parmenides sought to reduce the variety of nature to a single material element; but he strictly discriminated the inconstant 7retOri from the constant oboia, and, understanding by " existence " universal, invariable, immutable being, refused to attribute to the IraO'q anything more than the semblance of existence.
Similarly, if we divide n P by n q, where q is less than p, the result is n P - q.
The process depends on (ii) of § 45, in the extended form that, if x is a factor of a and b, it is a factor of pa-qb, where p and q are any integers.
If M and N are respectively m and n times a unit, and P and Q are respectively p and q times a unit, then the quantities are in proportion if mq = np; and conversely.
Thus any arithmetical processes which can be applied to the numbers p, q, r, ..
The circuits in which the batterybattery P and and d being galvanometer called the ratio branches placed are called conjugate circuits, and the circuits P, Q, R, and S are called the arms of the bridge, the '44 S arms and S the measuring arm.
To prove this statement, let the conductors P, Q, R, S., be arranged in a lozenge shape, as in fig.
In the practical instrument the three arms of the bridge P, Q, and S are generally composed of coils of wire contained in a box, whilst R is the resistance the value of which is to be determined.
The operation of determining the value of the resistance R therefore consists in altering the ratio of the three resistances P, Q,, and S, until the galvanometer indicates no current through it when the battery circuit is completed or closed by the key.
In one form of Wheatstone's Bridge, known as the series pattern plug-resistance bridge, or Post Office pattern, the two ratio arms, P and Q, each consist of a series of coils of wire, viz.
A and B are the coils to be compared, P and Q are two other L -x FIG.
He considers actions solely in respect of their pleasurable a nd painful consequences ex ected or actual; and he P q, P actual; school.
This circle, projected in Q perspective as an ellipse, is shown in X the figure.
Conceive a perpendicular PQ to be dropped from this point on the fundamental plane, meeting the latter in the point Q; PQ will then be parallel to OZ.
The problem of determining the perturbations of the (2) Q heavenly bodies is perhaps the most complicated with which the mathematical astronomer has to grapple; and the forms under which it has to be studied are so numerous that they cannot be easily arranged under any one head.
Now, consider the values of these same variables expressing the position of the planet at a second point Q, and the speed with which it passes that point.
The point E, being more distant than C, will be attracted with less force, while Q will be attracted with a greater force than will the centre C. Were the force equal on every point of the earth it would have no influence on its rotation, but would simply draw its whole mass toward the attracting body.
It is clear that at Q this residual force as represented by the arrow will be in the same direction as the actual force.
If nothing modified this tendency the result would be to bring the points E and Q into the dotted lines of the attraction.
Let APB be a semicircle, BT the tangent at B, and APT a line cutting the circle in and BT at T; take a point Q on AT so that AQ always equals PT; then the locus of Q is the cissoid.
Padua The school q y g of P adu a.
It is assumed that a flow of heat Q, due to conduction, tends to carry with it a proportional electric current C = aQ.
Quien, the interrogative pronoun which has taken the place of the old qul, seems to come from q u e rn.
This point settled, uniformity is q P y a location.
This involves the expenditure of a quantity of work W, the amount in any particular case being found by the equation W = Q2 - Q I, where W is the work, expressed by its equivalent in British thermal units; Q2 the quantity of heat, also in B.Ther.U., given out at the higher temperature T2; and Q i the heat taken in at the lower temperature T1.
It is evident that the discharged heat Qz is equal to the abstracted heat Q ', plus the work expended, seeing that the work W, which causes the rise in temperature from T 1 to Tz, is the thermal equivalent of the energy actually expended in raising the temperature to the level at which it is rejected.
The 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.
If r represents the latent heat of the vapour, and q 2 and q1 the amounts of heat contained in the liquid at the respective temperatures of T2 and T11 then the loss from the heat carried from the condenser into the refrigerator is shown by (q2-q1)/r and the useful refrigerating effect produced in the refrigerator is r-(q 2 -q i).
This is shown by the curve AB, and is the useless work represented by the expression (q 2 -q 1)/r.
After some work, they found there were nineteen different letters used, with "E, I, L, O, U, Q, and W" missing.
This was the location of a Q site decoy aerodrome for Methwold.
Genu valgum, external tibial torsion and femoral anteversion increase the Q angle.
A Uruguay Q In which year did Fat Les sing Vindaloo, Englands unofficial anthem that year?
Q. How many qualified archivists does the Museum employ?
Q Should I be seeking similar assurances from my suppliers?
Q Why are there sometimes issues about stock availability?
Regards, Lawrence Chard Q Hello there, My inquiry is I have a gold bangle.
Q. My mother aged 71 has recently been taking barbiturate sleeping pills.
Q. What temperature should I wash my baby bed linen in to kill bacteria?
There's a big pair of double gates here, much beloved by Network Q spectators.
Q. Do you still use hot bitumen (tar )?
More... Q. Can your explain the grading of carbon blanks?
Q I would very much like to cheer myself up and go blond.
Send this article to a friend Q. Why has my skin gone blotchy?
Campus Q. Can I come and visit the campus Q. Can I come and visit the campus at any time?
Q Hi Alan, We have a beautiful coffered ceiling in our master bedroom.
Q To be an atheist in his time was likely to attract public censure.
Q. What can be done to prevent cleft lip?
Q. Can I use coinage from the Channel Islands or the Isle of Man?
Of all the would-be competitors to the Palm Treo 650 we've seen, the Motorola Q seems best poised to surpass it.
Q Why does the CIA need an exemption from rules that would govern the conduct of our military in interrogation practices?
Q. What is the current view on combined oral contraceptives for people with lupus?
Q. As to the cause of death one cause is given, namely coronary thrombosis?
Using our estimate of 0.9m for leg-length, this leads to the estimate v q crit = Ö 10.
I tiled the shower cubical in the same way, with cork adhesive, from B&Q.
This information was conveyed to Mr Q in a letter dated 21 August.
Q. Can the detail of our final declaration be different from the draft declaration that we submitted in October?
Thus it was that the Q lay exposed on the table, while declarer played A and ruffed a diamond.
Q - I have heard of laser diffusers what are these?
A. To warn the driver that the level crossing gates were shut against the railroad Q What building is in the left background?
Q. Can a student Nurse act as an approved witness when administering a controlled drug?
Q. Do you now have your own version of the girl with the pearl earring hanging up at home?
Q 1. 1 For whom has this e-book been written?
Q. How are we to use the word, if we would have it made effectual to salvation?
Q. We received a letter from Barclays Bank offering compensation for a mis-sold endowment.
Q 4-4 Do I need permission to show a copyright image using an epidiascope or similar device?
Q. Could recent mercury exposure affect the developing fetus?
Q. Water constantly runs or drips through the group head itself or into the drip tray from behind the stainless steel facia plate.
Q Quickfencer Faster, lighter, easier and safer Lamma show 2004/2005 winner Models available for equestrian fencing.
Q Hi, I believe it is bad feng shui for the end of the bed to face a door.
Quark (q) A fundamental fermion that has strong interactions.
Q 9. 21 How can we assess male fertility?
Q Do your house signs come with wall fixings?
Q / Are there any restrictions on using the flumes in the leisure pool?
A. Specialist foreign language teachers; primary generalists; Native speaker etc. etc. Q. Who are the pupils?
Q. Why ca n't gripe water be given to babies under a month old?
Q. A man in the audience said, " If ministers stop preaching hellfire, they will have no control over their people.
Q. Is it true that rheumatism can be helped by Ayurvedic herbs?
No definitive answers from Q or Mojo so far, but the fat lady ai n't hollered yet.
This should only take a few days. Q I am taking hydrocortisone.
So that means that the value of x is given by cos( q) multiplied by the hypotenuse.
Mrs Q had suffered a myocardial infarction whilst in the unit.
In that case the general, tho not invariable, superiority of the Q version remains to be accounted for.
Q, the eccentric inventor of British spy gadgets in the James Bond movies, would be proud of that Moscow rock.
Q If ITV merges, is it not invidious that two sales houses will report to one Plc?
Q Horror movies- especially those that feature deranged killers are very prone to getting future installments.
Q. Can I make any money from this plot of land A. No Q. can children become lairds?
Q. My horse has acute laminitis now, is Formula 4 Feet safe to feed?
Q What advice should a solicitor give to a client commencing litigation on a pro bono basis about costs?
Ministers will announce that they see no reason to bow to the demands of a vociferous lobby led by Asda, B&Q and Ikea.
Q A I have had lupus for about four years.
Q What should I do when I have active lupus and get a bad cold or flu?
Q What one piece of advice would you give to someone trying macrobiotics for the first time?
That one night changed my outlook on many things, including my future life's work Q How has macrobiotics helped you?
Q - I became partially deaf as a result of the german measles at the age of eleven.
On the other hand there, R is the completion of Q under the Euclidean metric.
During Bond's tour of Q's laboratory, a boom mic is briefly visible at the top of the screen.
Q I used to use the minus sign - to play my blank tile.
Q. What has caused the extreme motion sickness throughout my pregnancy?
Chapter One Q. Where is the home of the Russian navy 's Baltic Fleet?
High resolution at low Q is handy for indexing, and is essential for tackling moderately complex magnetic structures with powder neutron data.
Q. What do you call a nun with a washing machine on her head?
Were there such grounds the of formal logic would require distinct semantic accounts for the wffs p q and p q and p p.
Q. Can I labor with a low lying placenta?
Stages of labor Q. What causes a retained placenta?
Q. Can a competent plumber install a heat pump to run my central heating system?
Back to top Q - Were any of the cast puppeteers before they joined AVENUE Q?
On the five first four hands would net q want to be.
Therefore, that interval contains a rational q x and all those rationals are distinct.
There are numerous good restaurants in the Citadelle end of town. q Night 3.
A calling station would net q throwing darts shooting you a sense.
Thus the body m n is surrounded by a larger amount of light than the body p q, as is shown above.
Indeed, this is a norm on f q (t ).
The Poisson approximation would be acceptable (q small and k q small ).
Figure 2 shows the dependence of bending stiffness on test angle q.
A unit quaternion has m = 1. det( Q R )= m 4.
The project must be within a 20-mile radius of a B&Q store.
Question & Answers Q My partner occasionally hits me, the last time was 8 months ago, but he was very remorseful afterward.
In many cases the high Q element can be realized by using a dielectric resonator.
This is shown by the mean reversion of q relative to its average.
Q Surely the huge success of the BBC's Blue Planet series could herald a revival?
Q. There are a number of very romantic moments in the film - are you a romantic at heart?
He won with the J, cashed A, crossed to Q and scored a diamond ruff.
Q - How do I report someone else breaking a rule?
Book online for Avenue Q The quirky, silly and splendidly salacious Broadway hit arrives in the West End at last.
The people who founded Q, meanwhile, have all scarpered off to Word magazine.
Q Could you please send me an immunization schedule for Derbyshire?
Q Do you inevitably develop scleroderma if you have severe Raynaud's?
B&Q bypass secateurs, the lowest priced model actually fared the best in our trial.
Interests in exploration seismology include ocean-bottom surveys, Q estimation, anisotropy, converted waves and AVO studies.
The mass corrections give the positive skewness that is observed at low Q. The trend of the data is well described.
Q 17 What skills and competencies for culling are required to ensure body snares are safely and effectively deployed?
Q How do I find someone to play with?
Q. What were the Victorian ideas for containing sprawl and encouraging growth?
Q - Can I find out about my family tartan?
Q What can I do with the domain management tools?
This may be associated with an increased tibio-femoral ' Q ' angle and external tibial torsion.
Q Where would you see steam trains today where the crew had a single line train staff?
But her fragile 75ft trimaran, B&Q, is taking a battering in the rough seas of the Southern Ocean.
B&Q arrives in New York Ellen MacArthur has sailed her 75-foot trimaran into New York harbor after a delivery trip from Newfoundland.
Q Lawns are one of the UK's biggest producers of amenity turf.
Verdict A more accessible version of Q Bert's revolutionary turntable and mixer concept.
The satellites themselves have a completely new tweeter, which has been ' borrowed ' from KEF's luxury Q Range speakers.
Q. What are the chances of conceiving twins more than once?
Q. One of my dizygotic twins has died at 25 weeks, what are the risks for the surviving twin?
A commercial policy one time considered b q u pennsylvania and california.
Phil Q Member Well, the plot's a bit ramshackle, it's far too episodic and the tone is wildly uneven.
Q. Why does my baby sometimes vomit her whole milk feed?
Q. What breathable waterproof would you recommend apart from Gortex?
Q for quiz nights Ask a local pub if you can hold a quiz evening on a quieter weeknight.
It has now been placed on the x and y axes, with the angle q measured from the horizontal x-axis.
The mean of and a_ is usually denoted by a± or simply by a, while q is employed for the ratio a_/a+.
Some observers when giving mean values take 1(a_la +) as the mean value of q, while others take E(a_)Æ(a+).
In the case of q the uncertainty is much less.
On mountain summits q tends to be large, i.e.
Apparently q has also a tendency to be large near the sea, but this phenomenon is not seen at Trieste.
An exactly opposite phenomenon, it may be remarked, is seen near waterfalls, q becoming very small.
Only Innsbruck and Mattsee give a mean value of q less than unity.
Also, as later observations at Innsbruck give more normal values for q, some doubt [[Table Vi]].-Dissipation.
The result for Mattsee seems less open to doubt, for the observer, von Schweidler, had obtained a normal value for q during the previous year at Seewalchen.
Whilst the average q in at least the great majority of stations exceeds unity, individual observations making q less than unity are not rare.
Thus in 1902 (51) the percentage of cases in which q fell short of I was 30 at Trieste, 33 at Vienna, and 35 at Kremsmunster; at Innsbruck q was less than I on 58 days out of 98.
Thus during observations extending over more than a year, q varied from 0.18 to 8.25 at Kremsmunster and from 0.1 I to 3.00 at Trieste.
At Freiburg (43), q seems decidedly larger in [[Table Vi I]].
Zolss' Data For Q Show Also A Double Daily Period, But The Apparent Range Is Small, And The Hourly Variation Is Somewhat Irregular.
Values Were In General The Smallest, Especially In The Case Of The Evening Value For Q On The Average Exceeded The Values From The Two Earlier Hours By Some 7%.
Conrad (22) Found Somewhat Similar Results For Q, The Principal Maximum Occurring At I P.M., With Minima At 9 P.M.
On Mont Blanc, Le Cadet (43) Found Q Largest From I To 3 P.M., The Value At Either Of These Hours Being More Than Double That At I I A.M.
Defant (52), Observing In December, Found Q Largest From I To 2 P.M.
Simpson observed a fall in q for wind velocities exceeding 2 on Beaufort's scale.
At Kiel (53) and Trieste the average value of q is considerably less for wholly overcast days than for bright days.
For the ratio of the mean value of I + to the mean value of I_, the Letter Q Is Employed By Gockel (55), Who Has Made An Unusually Complete Study Of Ionic Charges At Freiburg.
Gockel'S Mean Values Of I And Q Would Be Reduced To 0.31 And 1.38 Respectively If His Values For July Which Appear Abnormalwere Omitted.
If the exceptional July values at Freiburg were omitted, the summer values of I + and Q would become 0.33 and 1.25 respectively.
The evening values of Q were on the whole the largest.
The rise in q and Q indicates that the diminished rate of dissipation is most marked for positive charges, and that negative ions are even more reduced then positive.
At KremsmunsterZolss (41) finds a considerable similarity between the diurnal variations in q and in the potential gradient, the hours of the forenoon and afternoon maxima being nearly the same in the two cases.
If this is true we should have q= an t, where q is the number of ions of one sign made in I cc. of air per second by the emanation, a the constant of recombination, and n the number of ions found simultaneously by, say, Ebert's apparatus.
Holfmann, from observations on the amplitude of saturation currents, deduce q =4 as a mean value.
If the atmosphere at different heights is exposed to ionizing radiation of uniform intensity the rate of production of ions per cc., q, will vary as the pressure.
The stem is firm, slightly pithy up the middle, but never hollow; it bears a floccose ring near its middle, as illustrated at Q, Q; this ring originates by the rupture of the thin general wrapper K of the infant plant.
Two pins q, r, with spiral springs coiled round them, pass loosely through holes in the forks k, 1, and keep the bearings of the heads in and n firmly pressed against the ends of the micrometer box.
The screw Q serves to adjust the axis of O i to coincidence with the centre of the lines of the solar spectrograph, and the screw G then serves to move the slide 132 till the optical axis of 0 2 is coincident with the centre of the lines of the stellar spectrograph.
The currents thus divide at instrument as in Frischen's method, two resistances the point D, and it is clear that if the difference of potential between P and Q is unaffected by closing the sending key, then no change of current will take place in the instrument circuit.
The habits of certain other spiders suggest the origin of the perfect adaptation to a q uatic conditions exhibited by Desis and Argyroneta.
The importance of such groups as methyl, ethyl, &c. in attempting a nomenclature of organic compounds cannot be overestimated; these compound radicals, fre q uently termed alkyl radicals, serve a similar purpose to the organic chemist as the elements to the inorganic chemist.
With this notation the values of x and y may be expressed in the forms x q q /N q ', gg /Nq', which are free from ambiguity, since scalars are commutative with quaternions.
If Q be on the circle described upon OA as diameter, so that u = a cos 4,, then Q' lies also upon the same circle; and in this case it follows from the symmetry that the unsymmetrical aberration (depending upon a) vanishes.
It was usual, however, to hold the front and back of the ir6rXos together by a girdle q'c'ovr7), passed round the waist below the airO rrv'ypa; the superfluous length of the garment was pulled up through the girdle and allowed to fall over in a baggy fold (KOA7ros) (see Greek Art, fig.
In the Eulerian notation u, v, w denote the components of the velocity q parallel to the coordinate axes at any point (x, y, z) at the time t; u, v, w are functions of x, y, z, t, the independent variables; and d is used here to denote partial differentiation with respect to any one of these four independent variables, all capable of varying one at a time.
It is convenient to introduce the function =log =log (Q / q) + 01 (4) so that the polygon representing 12 conformally has a boundary given by straight lines parallel to the coordinate axes; and then to determine S2 and w as functions of a variable u (not to be confused with the velocity component of q), such that in the conformal representation the boundary of the and w polygon is made to coincide with the real axis of u.
Peru proposed that only Peruvian residents should be entitled to take part in a popular vote; Chile rejected this proposition, on the ground that all residents in the territories in q uestion should have a voice in the final decision.
Therefore, whatever may be the distribution of electric force produced by the charges inside taken alone, it can be exactly imitated for all space outside the metal surface if we suppose the inside charge removed and a distribution of electricity of the same sign made over the metal surface such that its density follows the law Q = - (1 /47r)dU/dn (27), where dUldn is the electric force at that point on the closed equipotential surface considered, due to the original charge alone.
If we bisect AB and CD in P and Q respectively, and describe the arc PQ of a circle with centre 0, the length of this arc is 2(b+a)0; and b - a =AB.
The latter force is, by Maxwell's hypothesis or by the dynamical theory of an aether pervaded by electrons, the same as that which strair s the aether, and may be called the aethereal force; it thereby produces an aethereal electric displacement, say (f,g,h), according to the relation (f,g,h) = (41 r c 2) - 1(P',Q', RI), in which c is a constant belonging to the aether, which turns out to be the velocity of light.
We have the cloister (H) to the south, with the threeaisled chapter-house (I) and calefactory (L) opening from its eastern walk, and the refectory (S), with the kitchen (Q) and buttery (T) attached, at right angles to its southern walk.
After some years of hard and The year ended with another great victory at Fredericksburg successful work in this capacity, "the last survivor of the old Th v.), Chancellorsville (see Wilderness) won against odds martial prelates, fitter for harness than for bishops' robes, for (q of two to one, and the great three days' battle of Gettysburg a court of justice than a court of theology," died at Shrewsbury o (q.v.), where for the first time fortune turned decisively against in June 1543.
Then if 0 is the centre of curvature in the plane of the paper, and BO =u, I _ cos sinew u R 1 R2 Let POQ=o, PO=r, PQ=f, BP=z, f 2 = u 2 +r 2 -2ur cos 0 (26) The element of the stratum at Q may be expressed by ou t sin o do dw, or expressing do in terms of df by (26), our 1fdfdw.
It is another for the conditional q → p to be true.
General Air q uality A general description of the extent to which the atmosphere contains pollutants principally from man-made sources.
He also notes has already retained b q u the virtues of.
This turns out to be inconvenient, so instead we replace the q s in the denominator by their MLE.
Indeed, this is a norm on F q (t).
The Poisson approximation would be acceptable (q small and k q small).
A unit quaternion has m = 1. det( Q R)= m 4.
A definition of Q is " Energy stored in the cavity divided by energy dissipated per radian of oscillation ".
It was because Mr Q's license had been refused on medical grounds that he felt unable to overturn the decision.
The range of sites is very wide and extends to requisitioned houses, Q sites, airfields and factories.
Soil respiration sensitivity to temperature (Q 10) decreased in response to drought.
Q Surely the huge success of the BBC 's Blue Planet series could herald a revival?
Q. Is the application process the same for mature applicants?
Q Do you inevitably develop scleroderma if you have severe Raynaud 's?
Searching for q file is one thing, Windows can do that easily.
More... Q. A grayling had blood spots which seemed to be seeping very slowly from under some of its scales.
Q What are your views on breast silicone implants?
Q. Was a German U-Boat really sunk by a truck?
Q. But I 'm a skint student... Q. What 's your policy on staff training?
Focus is snapping hard at the heels of B&Q, the giant of DIY retailing.
Q What powers do the police have to remove stolen vehicles from where they find them?
Q. Is there anything specific I need to know about the technical aspects of the DVDs I submit?
Hall Q has a terrazzo floor in the aisles.
D Q is another matter; huge, slightly retro, really annoying music and a decent toon shader.
Q Is it OK for women to go topless on beaches?
Q My Child is a member of the local trampoline club.
At the beginning of the level, M says Q branch has provided you with tranquilizer darts.
Nearly all of the Q&A session were full, most to triple the capacity of the theater !
Verdict A more accessible version of Q Bert 's revolutionary turntable and mixer concept.
The satellites themselves have a completely new tweeter, which has been ' borrowed ' from KEF 's luxury Q Range speakers.
Q. And you 're constantly linked to another typecast role with another dinner jacket and a Walter PPK.
Whatever your health concerns, get answers here Globe Q. Do I need typhoid vaccinations for South Africa?
Q. Are Hispanic actors undervalued by the entertainment industry in the US?
Phil Q Member Well, the plot 's a bit ramshackle, it 's far too episodic and the tone is wildly uneven.
If you scroll down to the bottom of the web page, you'll find areas with very informational content such as Catholic Q&A, Traditional Mass, document and audio libraries, and even a Bible search utility.
Ideally, you want to place a Q, X, or Z (for example) tile on a double or triple letter score space, and combine it with double or triple word score.
You want to minimize this negation by ensuring that you are not holding onto high-value tiles like P, Q, and X at the end of the game.
One unique feature of the site is a "Q&A" section.
It may not be quite as powerful as a BlackBerry or Motorola Q, but there's enough muscle here to get through your daily tasks, keeping you organized and on track.
The battery for the Motorola Q was almost recalled because many consumers complained about battery time, which amounted to two days on standby and maybe one hour talk time.
When the second generation Q released, more efficient data services increased battery time.
The Samsung Intrepid is a candybar-style handset with a form factor similar to the Motorola Q, BlackBerry Curve, Nokia E71 and Samsung Jack, among several smartphones like it.
Electrocardiagram (ECG, EKG)-A record of the electrical activity of the heart, with each wave being labeled as P, Q, R, S, and T waves.
Being located at 9q34 means that it is on the long arm (q) of chromosome 9 in the 34 region.
The short arm of a chromosome is called the p arm; the long arm and is called the q arm.
There are several genes found on the q arm of chromosome 15 that are imprinted.
This deletion occurs in a specific region on the q arm of chromosome 15.
Approximately 2-5 percent of patients with PWS have a change (mutation) in a gene located on the q arm of chromosome 15.
Chromosome analysis can determine if the PWS is the result of a deletion in the q arm of chromosome 15.
The highest and lowest interest rates of Banks A, D, Q and R are disregarded and the remaining rates are averaged to determine the 6-month Libor Rate in USD.
This is a Q&A site with some tips you can try on your mate the next time you are intimate.
The Slumdog Millionaire movie is based on a novel by Indian author Vikas Swarup, Q&A.
It is known to compensate for a woman's "Q Angle," or the angle between the hip and the knee.
The actress recently sat down with Love To Know Soap Operas for a little Q and A about her roles on daytime and primetime.
Other shows in the Q Theater include the comedy stylings of Jeff Civillico and the energetic music of Recycled Percussion.
Q Sport - The sports bra sizes sold at Q-Sport range from extra small, which fits sizes 30 to 32, to extra large, which fits sizes 38 to 40.
Two popular games of this genre are sentence starters and Q&A.
In Q&A, every party attendee has a piece of paper attached to his or her back as they arrive.
Usually there is an initial Q&A application, then a more detailed application for those who make it through the first cull, and so on.
In other words, applications aren't always straight Q&A, personality type documents, so if you can't cook, don't think you'll slide into the Top Chef kitchen on charm alone!
She is seen as an almost equal by the omnipotent being Q, who suggested that there is far more to her than can be imagined.
Q regards her as a dangerous being who always has trouble following behind.
Collectively they are known as the Q Continuum, and when we meet others of the species, they are also called 'Q'.
Q is played by actor John deLancie, who gives the character an arrogance that would be charming if it wasn't so annoying.
He is particularly enjoyable when, for whatever reason, he loses his omnipotence, as in the episode Deja Q, when he has been sentenced to be human by the rest of his race.
At one time he was determined to have a child with her, believing that a Q-human hybrid would solve the problems of the Q Continuum.
Well, in the Next Generation universe, Anderson would clearly be a member of the Q Continuum, being omnipotent and all.
But Anderson Cooper, even as a Q, would never be a malicious omnipotent being - no, his legendary compassion would be stirred by the crew's sad fashion plight.
Picard's nemesis is Q, the omnipotent entity we meet in the series premier.
In an alternate timeline created by the trouble-making Q, Crusher and Picard have been married and divorced, with Beverly moving on to command a medical ship.
The website Acne Q suggests echinacea, also great for clearing up the common cold.
He'd better watch his P's and Q's.
Simpson found no certain temperature effect on the value of q.
The increase was largest for a +, there being a fall of about 15% in q.
It shows on the one hand the labialization of the original velar q(Volscian pis = Latin quis), and on the other hand it palatalizes the guttural c before a following i (Volscian facia=Latin faciat).
There is hardly one of Wagner's orchestral innovations which is not inseparably connected with his adaptation of music to the re q uirements of drama; and modern conductors, in treating Wagner's orchestration, as the normal standard by which all previous and contemporary music must be judged, are doing their best to found a tradition which in another fifty years will be exploded as thoroughly as the tradition of symphonic additional accompaniments is now exploded in the performances of Bach and Handel.
One very great advantage in this method is that the instrument used between P and Q may be of any ordinary form, i.e.
The new capital of Persis was Istakhr on the Pulwar, about q m.
Between A and B, A and C, and A and D, there may be a string of stations, p, q, r, s, &c., all receiving goods from a, b, c and d, and it would manifestly be inconvenient and wasteful of time and trouble if the trains serving those intermediate stations were made up with, say, six wagons from a to p next the engine, five from b to p at the middle, and four from c to p near the end.
The form q`tal illustrates one main peculiarity of Aramaic, as opposed to the other Semitic languages, viz.
The simple active q`tal makes its passive ethq`tel; the intensive gattel makes.
Q, Sac containing nutritive mb, Mantle-skirt.
The anomaly AFQ of Q at any moment is called the mean anomaly, and the angle QFP by which the true anomaly exceeds it at that moment is the equation of the centre.
If triple bonds, q in number, occur also, and the energy of such a bond be Z, the equation for H becomes H = nE-+-mn -1-p(2X - Y) +q(3X - Z).
Let x be the number of molecules which dissociate per second when the number of undissociated molecules in unit volume is unity, then in a dilute solution where the molecules do not interfere with each other, xp is the number when the concentration is p. Recombination can only occur when two ions meet, and since the frequency with which this will happen is, in dilute solution, proportional to the square of the ionic concentration, we shall get for the number of molecules re-formed in one second ye where q is the number of dissociated molecules in one cubic centimetre.
P y q +...
All symmetric functions are expressible in terms of the quantities ap g in a rational integral form; from this property they are termed elementary functions; further they are said to be single-unitary since each part of the partition denoting ap q involves but a single unit.
The number of partitions of a biweight pq into exactly i biparts is given (after Euler) by the coefficient of a, z xPy Q in the expansion of the generating function 1 - ax.
Recalling the formulae above which connect s P4 and a m, we see that dP4 and Dp q are in co-relation with these quantities respectively, and may be said to be operations which correspond to the partitions (pq), (10 P 01 4) respectively.
We may remark the particular result (-) p + p q!
The Hessian in that case is a factor of f, and Q is the third power of u2,...
Solving the equation by the Ordinary Theory Of Linear Partial Differential Equations, We Obtain P Q 1 Independent Solutions, Of Which P Appertain To S2Au = 0, Q To 12 B U =0; The Remaining One Is Ab =Aobl A 1 Bo, The Leading Coefficient Of The Jacobian Of The Two Forms. This Constitutes An Algebraically Complete System, And, In Terms Of Its Members, All Seminvariants Can Be Rationally Expressed.
Q 1 The Unreduced Generating Function Which Enumerates The Covariants Of Degrees 0, 0' In The Coefficients And Order E In The Variables.
Here compounds of divalent lead have not yet been obtained; by acting with zinc ethide on lead chloride, lead tetraethide, Pb(C 2 IH Q) 4, is obtained, with the separation of metallic lead.
Under the influence of the transient current, the galvanometer needle undergoes a momentary deflection, or " throw," which is proportional to Q, and therefore to 8B, and thus, if we know the deflection produced by the discharge through the galvanometer of a given quantity of electricity, we have the means of determining the value of 8B.
If V is the volume of a ball, H the strength of the field at its centre, and re its apparent susceptibility, the force in the direction x is f= K'VH X dH/dx; and if K',, and are the apparent susceptibilities of the same ball in air and in liquid oxygen, K' Q -K'o is equal to the difference between the susceptibilities of the two media.
His development of the equation x m +- px = q in an infinite series was extended by Leonhard Euler, and particularly by Joseph Louis Lagrange.
For multiplication, for instance, we have the statement that, if P and Q are two quantities, containing respectively p and q of a particular unit, then p X Q = q X P; or the more abstract statement that p X q= q X p.
It should be observed that, by analogy with the definition of a fraction, a P l q mean (al/q)P, not (aP)llq.
Proceeding in this way, we may be able to express P= Q as the sum of a finite number of terms k+m/r+n/r 2 +..
Having obtained R, which is less than Q, we now repeat with Q and R the process that we adopted with P and Q; i.e.
Suppose we find Q = sR+T, then we repeat the process with R and T; and so on.
Hence u is the greatest common measure of p and q.
Similarly the statements P+Q - R - S = T and P+ Q - R= T+ S are the same.
Thus from P+Q - R+S=T we deduce P+(Q - R+S)=P+(T - P).
Thus, if we have an equation P=Q, where P and Q are numbers involving fractions, we can clear of fractions, not by multiplying P and Q by a number m, but by applying the equal multiples P and Q to a number m as unit.
Thus 2 x 2 - I - x +x-2 (x _ I) (x+2) is equal to x + 2 q, except when x=1.
We therefore define algebraical division by means of algebraical multiplication, and say that, if P and M are multinomials, the statement " P/M = Q " means that Q is a multinomial such that MQ (or QM) and P are identical.
Thus e 1 e 2 = - e2ei, and if q, q are any two quaternions, qq is generally different from q'q.
Thus every quaternion may be written in the form q = Sq+Vq, where either Sq or Vq may separately vanish; so that ordinary algebraic quantities (or scalars, as we shall call them) and pure vectors may each be regarded as special cases of quaternions.
The equations q'+x = q and y+q' = q are satisfied by the same quaternion, which is denoted by q - q'.
On the other hand, the equations q'x = q and yq' = q have, in general, different solutions.
It is the value of y which is generally denoted by q= q'; a special symbol for x is desirable, but has not been established.
If we put qo= Sq' - Vq', then qo is called the conjugate of q', and the scalar q'qo = qoq' is called the norm of q' and written Nq'.
We imagine a wave-front divided o x Q into elementary rings or zones - often named after Huygens, but better after Fresnelby spheres described round P (the point at which the aggregate effect is to be estimated), the first sphere, touching the plane at 0, with a radius equal to PO, and the succeeding spheres with radii increasing at each step by IX.
Now as to the phase of the secondary wave, it might appear natural to suppose that it starts from any point Q with the phase of the primary wave, so that on arrival at P, it is retarded by the amount corresponding to QP. But a little consideration will prove that in that case the series of secondary waves could not reconstitute the primary wave.
If the primary wave at 0 be cos kat, the effect of the secondary wave proceeding from the element dS at Q is dS 1 dS - p cos k(at - p+ 4 A) = - -- sin k(at - p).
It is thus sufficient to determine the intensity along the axis of p. Putting q = o, we get C = ffcos pxdxdy=2f+Rcos 'px 1/ (R2 - x2)dx, R being the radius of the aperture.
A similar expression can be found for Q'P - Q"A; and thus, if Q' A =v, Q' AO = where v =a cos (0", we get - - -AQ' = a sin w (sin 4 -sink") - - 8a sin 4 w(sin cktan 4 + sin 'tan cl)').
A tie between the middle point of the rod OA and Q can be used if thought desirable.
For a point Q outside the shadow the integration extends over more than half the primary wave.
The position of Q corresponding to a given value of V, that is, to a band of given order, is by (19) BQ= aa b AD=V?
It is not probable that the sweet-smelling gums and resins of the countries of the Indian Ocean began to be introduced into Greece before the 8th or 7th century B.C., and doubtless XiOavos or X q /3avw-rOs first became an article of extensive commerce only after the Mediterranean trade with the East had been opened up by the Egyptian king Psammetichus (c. 664-610 B.C.).
Then, since these three forces maintain equilibrium, and R makes equal angles with P and Q, therefore P and Q must be equal.
His Q rating (the rating system used to track how popular a celebrity is with the public) has dropped 40 percent since Cruise has made his private life a whole lot less private than most of us would like.
And, occasionally the randomness of the letters can be a little irritating, especially when you get three Js and a Q on the same hand and you won't even be able to earn more than 5 points for each of them.
What this means is that a single button corresponds both to the letter Q and the letter W, and then the on-board algorithm takes its best guess as to what word you are trying to spell.