Z Sentence Examples

To unlock Indiana Jones and the Fate of Atlantis, hold the Z button, then press A, the UP direction twice, then B, the DOWN direction twice, LEFT, RIGHT, LEFT direction, then B at the main menu.

All civil cases involving less than z oo roubles value were within their competence, and more important cases by consent of the parties.

In that case, always try to have at least one rise or dip available for those pieces and don't worry because once you place a 'Z' piece another rise or dip becomes available to use if you need.

While it's probably not advisable to pick a career based solely on where it falls in the alphabet, it can be helpful to see a full list of careers from A to Z when you're considering the available options.

Natural diamond color varies and the highest quality white diamonds should appear colorless or clear.The GIA color grading scale rates diamond color from D (no color) thru Z (rich colors / fancy colored diamonds).

Thomsen deduces the actual values of X, Y, Z to be 14.71, 13.27 and zero; the last value he considers to be in agreement with the labile equilibrium of acetylenic compounds.

In fact, if f and 4, have these forms, it is easy to verify that (f, 4,)i= (A j z) (rs)r x s x .

When a z and the invariants B and C all vanish, either A or j must vanish; in the former case j is a perfect cube, its Hessian vanishing, and further f contains j as a factor; in the latter case, if p x, ax be the linear factors of i, f can be expressed as (pa) 5 f =cip2+c2ay; if both A and j vanish i also vanishes identically, and so also does f.

It is shown in the article on Combinatorial Analysis that (w; 0,n) is the coefficient of a e z w in the ascending expansion of the fraction 1-a.

We may, by a well-known theorem, write the result as a coefficient of z w in the expansion of 1 - z n+1.

As we have to do only with that part of the expansion which involves positive powers of z, we must try to isolate that portion, say A n (z).

For these two cases the perpetuants are enumerated by z 2 23 -z2' and l -z2.1-z3 respectively.

Thus, For Two Linear Forms, P =Q = I, We Find 1 Z 2 1 Az.

For w = i the form is A i ai+Bib i, which we may write aob l -albo = ao(I) b -(I)abo; the remaining perpetuants, enumerated by z I - 2' have been set forth above.

For the case 8=1, 0' =2, the condition is a i r 1 72 = A032=0; and the simplest perpetuant, derived directly from the product A 1 B 21 is (I)a(2)b-(21)b; the remainder of those enumerated by z3 I z.

They consist of a square citadel (Bairam Ali Khan kalah), s z m.

If V denote the potential, F the resultant force, X, Y, Z, its components parallel to the co-ordinate axes and n the line along which the force is directed, then - sn = F, b?= X, - Sy = Y, -s Surfaces for which the potential is constant are called equipotential surfaces.

Taking co-ordinates in the plane of the screen with the centre of the wave as origin, let us represent M by, n, and P (where dS is situated) by x, y, z.

Trans., 1834) in his original investigation of the diffraction of a circular object-glass, and readily obtained from (6), is z z 3 25 27 J1(z) = 2 2 2.4 + 2 2.4 2.6 2 2.4 2.6 2.8 + When z is great, we may employ the semi-convergent series Ji(s) = A/ (7, .- z)sin (z-17r) 1+3 8 1 ' 6 (z) 2 3.5.7.9.1.3.5 5 () 3 1 3.5.7.1 1 3 cos(z - ?r) 8 ' z (z) 3.5.7.9.11.1.3.5.7 1 5 + 8.16.24.32.40 (z

When z has one of the values thus determined, (z)=Jo(z).

The accompanying table is given by Lommel, in which the first column gives the roots of J2(z) =o, and the second and third columns the corresponding values of the functions specified.

If r, or z, be infinite, Jo(z), J 1 (z) vanish, and the whole illumination is expressed by 71-R 2, in accordance with the general principle.

In any case the proportion of the whole illumination to be found outside the circle of radius r is given by J02(z)+J12(z).

For the dark rings Ji(z) =o; so that the fraction of illumination outside any dark ring is simply Jo 2 (z).

When z is great, the descending series (io) gives i 2J 1 (z) = 2 sin (z1 7r) 22; (2) z so that the places of maxima and minima occur at equal intervals.

It may be instructive to contrast this with the case of an infinitely narrow annular aperture, where the brightness is proportional to Jo 2 (z).

The mean brightness varies as .51; and the integral f J02(z)zdz is not convergent.

Now by (17), (18) z 1 J1(z) =Jo(z)- (z); where P increases.

The extreme value possible for a is a right angle, so that for the microscopic limit we have Z X o/µ (2).

The formation of bands thus requires that the retarding plate be held upon the side already specified, so that zs be positive; and that the thickness of the plate (to which z is proportional) do not exceed a certain limit, which we may call 2T 0.

Comparing the expressions for C, S in terms of M, N, and in terms of G, H, we find that G = z (cos u+sin u)-M, H = z (cos u-sin u) +N.

The co-ordinates of J, J' being (- z, - z), I 2 is 2; and the phase is, period in arrear of that of the element at 0.

Let x, y, z be the co-ordinates of any particle of the medium in its natural state, and, 7 7, the displacements of the same particle at the end of time t, measured in the directions of the three axes respectively.

According 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).

If we suppose that the force impressed upon the element of mass D dx dy dz is DZ dx dy dz, being everywhere parallel to the axis of Z, the only change required in our equations (I), (2) is the addition of the term Z to the second member of the third equation (2).

Since the dimensions of T are supposed to be very small in com d parison with X, the factor dy (--) is sensibly constant; so that, if Z stand for the mean value of Z over the volume T, we may write TZ y d e T ?

This displacement, which we may denote by; is in the plane containing z and r, and perpendicular to the latter.

By all real estate deeds the sale of intoxicating liquors is for ever prohibited in the city; and an act of the state legislature in 1909 prohibited the sale of intoxicating liquor within r z m.

After leaving the Central Provinces, the river widens out in the fertile district of Broach, with an average breadth of z m.

It lies partly within Stillwater and partly within Half-Moon townships, in the bottom-lands at the mouth of the Anthony Kill, about 1 z m.

Ignoring temperature effect, and taking the density as a function of the pressure, surfaces of equal pressure are also of equal density, and the fluid is stratified by surfaces orthogonal to the lines of force; n ap, dy, P d z, or X, Y, Z (4) are the partial differential coefficients of some function P, =fdplp, of x, y, z; so that X, Y, Z must be the partial differential coefficients of a potential -V, such that the force in any direction is the downward gradient of V; and then dP dV (5) ax + Tr=0, or P+V =constant, in which P may be called the hydrostatic head and V the head of potential.

From the gas-equation in general, in the atmosphere n d dp _ I dp 1 de _ d0 de i de (8) z p dz-edz-p-edz-k-edz' which is positive, and the density p diminishes with the ascent, provided the temperature-gradient de/dz does not exceed elk.

With uniform temperature, taking h constant in the gas-equation, dp / dz= =p / k, p=poet/ k, (9) so that in ascending in the atmosphere of thermal equilibrium the pressure and density diminish at compound discount, and for pressures p 1 and 1, 2 at heights z 1 and z2 (z1-z2)11?

The time rate of increase of momentum of the fluid inside S is )dxdydz; (5) and (5) is the sum of (I), (2), (3), (4), so that /if (dpu+dpu2+dpuv +dpuw_ +d p j d xdyd z = o, (b)` dt dx dy dz dx / leading to the differential equation of motion dpu dpu 2 dpuv dpuv _ X_ (7) dt + dx + dy + dz with two similar equations.

As a rule these equations are established immediately by determining the component acceleration of the fluid particle which is passing through (x, y, z) at the instant t of time considered, and saying that the reversed acceleration or kinetic reaction, combined with the impressed force per unit of mass and pressure-gradient, will according to d'Alembert's principle form a system in equilibrium.

Clebsch has shown, from purely analytical considerations (Crelle, lvi.); and then = Z d(?G, m), ?

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.

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.

For instance, in a uniplanar flow, radially inward towards 0, the flow across any circle of radius r being the same and denoted by 27rm, the velocity must be mfr, and 0=m log r,, y=m0, +4,i =m log re ie, w=m log z.

When the cylinder r =a is moved with velocity U and r =b with velocity U 1 along Ox, = U b e - a,1 r +0 cos 0 - U ib2 - 2 a, (r +Q 2 ') cos 0, = - U be a2 a2 (b 2 - r) sin 0 - Uib2 b1)a, (r - ¢2 sin 0; b and similarly, with velocity components V and V 1 along Oy a 2 b2 ?= Vb,_a,(r+r) sin g -Vi b, b2 a, (r+ 2) sin 0, (17) = V b, a2 a, (b2 r) cos 0+Vi b, b, a, (r- ¢ 2) cos h; (18) and then for the resultant motion z 2zz w= (U 2 + V2)b2a a2U+Vi +b a b a2 U z Vi -(U12+V12) b2 z a2b2 Ui +VIi b 2 - a 2 U1 +Vii b 2 - a 2 z The resultant impulse of the liquid on the cylinder is given by the component, over r=a (§ 36), X =f p4 cos 0.ad0 =7rpa 2 (U b z 2 + a 2 Uib.2bz a2); (20) and over r =b Xi= fp?

The expression for w in (i) § 29 may be increased by the addition of the term im log z =-m0 + im log r, (1) representing vortex motion circulating round the annulus of liquid.

Example 3.-Analysing in this way the rotation of a rectangle filled with liquid into the two components of shear, the stream function 1//1 is to be made to satisfy the conditions v 2 /1 =0, 111+IRx 2 = IRa 2, or /11 =o when x= = a, +b1+IRx 2 = I Ra2, y ' 1 = IR(a 2 -x 2), when y = b Expanded in a Fourier series, 2 232 2 cos(2n+ I)Z?rx/a a -x 7r3 a Lim (2n+I) 3 ' (1) so that '?"

Employing the equation of continuity when the liquid is homogeneous, 2 (cly - d z)?

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.

This is a closed Sumner line for n =I, when the boundary consists of two parallel walls; and n= z gives an Elastica.

For a cavity filled with liquid in the interior of the body, since the liquid inside moves bodily for a motion of translation only, 41 = - x, 42 = -, 43 = - z; (2) but a rotation will stir up the liquid in the cavity, so that the'x's depend on the shape of the surface.

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 =..

Land which contains less than about z /c, of lime usually needs the addition of this material.

Forests cover nearly r z million acres, yielding valuable timber (teak, sandalwood, &c.), and affording grazing-ground for cattle.

An 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.

Let us apply the above theorem to the case of a small parallelepipedon or rectangular prism having sides dx, dy, dz respectively, its centre having co-ordinates (x, y, z).

Its angular points have then co-ordinates (x t Zdx, y t Zdy, z * zdz).

Suppose that the dielectric has a constant K, then we must multiply both sides by K and the expression for the energy per unit of volume of the field is equivalent to z DE where D is the displacement or polarization in the dielectric.

More characteristic, however, than the crystallized are the irregular forms,which, when large, are known as "nuggets" or " pepites," and when in pieces below - to z oz.

The tank is of porcelain or glazed earthenware, the electrodes for impure solutions are z in.

Every endeavour is made to gloss over, or modify, expressions which seemed derogatory to the ancestors of ' According to Zunz, Gottesdienstliche Vortrdge, 2nd ed., p. 80, its contents bear the following proportions to Genesis, z o o to Exodus, about 1 1 4 to Leviticus, s to Numbers, and 4 to Deuteronomy.

Many fanciful legends about Abraham founded on Biblical accounts or spun out of the fancy are to be found in Josephus, and in post-Biblical and Mahommedan literature; for these, reference may be made to Beer, Leben Abrahams (1859); Gri nbaum, Neue Beitrdge z.

The dose is 2 to 5 grains, that of aloin being z to 2 grains.

The weight of the handles and their supports is balanced by the counterpoise z.

The loss of weight by exposure to the atmosphere from drying may be from z to I of the total amount of water contained.

If 2mu 2 denote the mean value of 2mu 2 averaged over the s molecules of the first kind, equations (3) may be written in the form Z mu g = 2 mv 2 = 2 mw 2 = 2x,0 2 1 =.

We obtain Cv = z (n +3) R /J m.

This page gives an overview of all articles in the 1911 Brittanica which are alphabetized under Z to Zym.

Z(AK+BL)+3KL{CM-Z(AK+BL)} = sKL(AK+4CM+BL).

If, on the other hand, we were to take them very close to KA and LB respectively, the area of K 0 M B Z the trapezette would be the greater.

Of the latter we can determine twenty-six characters, while a twenty seventh probably corresponds to Arabic z (.).

We have then only to consider the term z iav/V.

The third 4= 5 X Z X z or ascent through an interval 4, which has no special name, and a descent through two octaves, and so on.

Since no angular momentum goes out on the whole Z nwra 4 d0/dx -?- 2 pwra 4 Ud0/dt = o.

Two spheres intersect in a plane, and the equation to a system of spheres which intersect in a common circle is x 2 + y 2 + z 2 +2Ax -fD = o, in which A varies from sphere to sphere, and D is constant for all the spheres, the plane yz being the plane of intersection, and the axis of x the line of centres.

The shearing area of rivets in tension members was made r z times the useful section of plate in tension.

Since 1859 it has formed the chief source of the water-supply of Glasgow, the aqueduct leaving the lake about z 2 m.

We shall make the natural supposition that motion of the aether, say with velocity (u,v,w) at the point (x,y,z), is simply superposed on the velocity V of the optical undulations through that medium, the latter not being intrinsically altered.

We may now, as is somewhat the more natural course in the terrestrial application, take axes (x,y,z) which move with the matter; but the current must be invariably defined by the flux across surfaces fixed in space, so that we may say that relation (i) refers to a circuit fixed in space, while (ii) refers to one moving with the matter.

In Slovakia, Jo z a eprka and his school have devoted themselves to interpreting peasant life.

Collections have appeared, however, by Waclaw Zaleski, who writes under the pseudonyms of Waclaw z Oleska, Wojcicki, Roger, Zegota Pauli, and especially Oskar Kolberg.

He wrote a fine descriptive work, Obrazy z zycia i podrozy (" Pictures of Life and Travel"), and also a poem, Piesn o ziemi naszej (" Song of our Land").

The tops should be covered with z in.

Thus a partition of 6 is 42; writing this in the form z 11' and summing the columns instead of the lines, we obtain the conjugate partition 2211; evidently, starting from 2211, the conjugate partition is 42.

Introducing another letter z, and considering the function I+xz.

I+x 3 z...,= I +z(x+x2+..)...

I -x 2 z.

Special mention should be made of Wellhausen on the Synoptic Gospels (1903-1905), and Harnack, Beitrage z.

Kanons (2 vols., 1888-1892, third to follow), Forschungen z.

The largest, Texcoco, has an area of about I 1 z sq.

The second Gospel fragment discovered in 1907 " consists of z single vellum leaf, practically complete except at one of the lower corners and here most of the lacunae admit of a satisfactory solution."

This was surely such a meeting as we read of in z Cor.

From the time of Eusebius this city has been identified with Sychem or Shechem (modern Nablus), and the well is still in existence I z m.

The place usually assigned to it is occupied by the vaulted substructure of the dormitory (Z).

Outwards from the bay the level rises slowly to an average of about z 500 ft., but seldom reaches 2000 ft.

French Forms Are Freely Turned Into Pure Canadianisms, Like Cageux, Raftsman, Boucane, Brushwood Smoke, Portage, &C. New Characters, Which Appeal More Directly To The Local Audience, Sometimes Supplant Old Ones, Like The Quatre Vieux Sauvages Who Have Ousted The Time Honoured Quatre Z Officiers From The Canadian Version Of Malbrouk.

Z% liver is probably represented ?? ?

The first charter, said to be a forgery, purports to have been given by i z Ethelstan.

In the same figure the free part of the inner lamella of the inner gill-plate resting on the foot is marked z, whilst the attached parjt - the most anterior - has been snipped with scissors so as to show the genital and nephridial apertures x and y.

Thus, to take an example, he will not print a critical text of Plautus with two letters (Y and Z) which were no part of the Latin alphabet in the age of that comedian; still less will he introduce into Latin texts distinctions, such as i,j and u, v, which were not used till long after the middle ages.

Oi, 1045 b 27-32, referring back to Z 1, or at the earliest to P 2.

On either alternative, however, " the first discourses " mentioned may have originally been a separate discourse; for Book F begins quite fresh with the definition of the science of being, long afterwards called " Metaphysics," and Book Z begins Aristotle's fundamental doctrine of substance.

Then follows the treatment of oligarchy, democracy, commonwealth and tyranny, and of the various powers of government (0), and independent investigation of revolution, and of the means of preserving states (E), and a further treatment of democracy and oligarchy, and of the different offices of the state (Z), and finally a return to the discussion of the right form of constitution (II, 0).

But 0 and Z are a group interrupted by E, and H and 0 are another group unconnected with the previous group and with E, and are also distinguished in style by avoiding hiatus.

Further, the group (0, Z) and the group (II, 0) are both unfinished.

Finally the group (0, Z), the book (E) and the group (II, 0), though unconnected with one another, are all connected though imperfectly with " the first discourses " (A,B,F).

For though both works rest on the reality of individual substances, the Categories (chap. 5) admits that universal species and genera can be called substances, whereas the Metaphysics (Z 13) denies that a universal can be a substance at all.

On the other hand, in the Metaphysics (Z 13), he distinctly denies that any universal can be a substance, on the ground that a substance is a subject, whereas a universal is a predicate and a belonging of a subject, from which it follows as he says that no universal is a substance, and no substance universal.

Such is Aristotle's realism of individuals and universals, contained in his primary philosophy, as expressed in the Metaphysics, especially in Book Z, his authoritative pronouncement on being and substance.

Let X, Y, And Z Be The Three Quotients Of The Divisions; The Number Sought Will Then Be Expressed By 28 X Io, By 19 Y 2, Or By 15 Z 4.

In Tirol, a single hole is made near the root of the tree in the spring; this is stopped with a plug, and the turpentine is removed by a scoop in the autumn; but each tree yields only from a few ounces to z lb by this process.

The spherical granules (G) are probably gland-secretions; the dark bodies (Z) are probably xanthellae, i.e.

Z 3) or is only potentially substance (Met.

An inhabitant of Lhasa, for example, finds the distinction between s and z', or between s and z, not in the consonant, but in the tone, pronouncing s' and s with a high note and z' and z with a low one.

At Z is the prison.

Whatever were the means employed to rid air of accompanying oxygen, a uniform value of the density was arrived at, and this value was z% greater than that appertaining to nitrogen extracted from compounds such as nitrous oxide, ammonia and ammonium nitrite.

These attain at places a height of from z oo to 150 ft., and are continually shifting to the westward.

Outdoor crops require to be sown, the smaller seeds from z to i in., and the larger ones from 2 to 4 in.

C. spectabile, I z to 2 ft., white and rose colour, in June, is a lovely species, as is C. Calceolus, i ft., yellow and brown, in May; all are full of interest and beauty.

Ruyschianum, I z ft., with its var.

The "Victory of Samothrace," set up by Demetrius Poliorcetes c. 305 B.C., was discovered in the z 8 Samovar Sampierdarena island in 1863, and is now in the Louvre.

The most cell (z) have arisen.

Perhaps the most interesting of these consonantal interchanges is that occurring between n and the sibilants sh and z; ner = slier; na=za, which by some scholars has been declared to be phonetically impossible, but its existence is well established between the modern Chinese colloquial idioms. For example, Pekingese then, Hakka nyin, Fuchow niing, Ningpo zhing and nying, WOnchow zang and Hang all =" man."

The early abbey was probably destroyed by the Danes in the reign of i z Ethelred the Unready (978-1015), for in 1043 Edward the Confessor founded here a college of secular canons.

Like all the precious stones, the diamond was credited with many marvellous virtues; among others the power of averting insanity, and of rendering poison harmless; and in the middle ' Diamonds are invariably weighed in carats and in z, 4, a, 1, s, of a carat.

If Y and Z are groups which behave very differently, then there is apparently no tautomerism and a definite formula can be given to the compound.

Neglecting the external heat-loss, and the variation of the thermal and electric conductivities k and k', we obtain, as before, for the difference of temperature between the centre and ends, the equation O, Tho z Go = C 2 R1/8qk = ECl/8qk = E 2 k'/8k, (11) where E is the difference of electric potential between the ends.

An imperial guarantee of interest was obtained in 1905 for the construction of a railway from Hickory to Bayong, a place z oo m.

O Sakkara a 0 El Azizia d Mith o a Walda Pala z.

It is clear that this (z) implicitly considers truth as a value, and so connects it with the conception of good, and (2) openly raises the question - What is truth, and how is it to be distinguished from error ?

Steamers ply to Rustchuk, 2 z m.

When the correspondence of the commissioners was sent to the United States Congress the letters "X," "Y" and "Z," were inserted in place of the names of the French agents with whom the commission treated - hence the "X Y Z Correspondence," famous in American history.

Trending in a south-easterly to northwesterly direction, the lake has a length of 13 Z m.

It is chiefly remarkable for its finely preserved fortifications constructed of tetrahedral and polygonal blocks of local limestone well jointed, with maximum dimensions of about 3 by i z ft.; the outer circuit of the city wall measures about 22 m.

A temple was excavated in 1889 about z m.

Memans wear (z) a gold embroidered skull-cap, (2) a long kamis fastened at the neck with 3 or 4 buttons on a gold chain, (3) sadariya, i.e.

Under Mahommedan influence Hindu clothing developed into " suits," consisting of five pieces for men, hence called pancho tuk kapra - (z) head-dress, (2) dhoti, (3) coat, (4) chaddar or sheet, (5) bathing cloth; and three for women, hence called tin tuk - (i) dhoti, (2) jacket, (3) shawl.

Let it be supposed that two positive lenses of equal curvature powers are made out of these two glasses, then in order to represent the combined dispersion of the two together the two 0µ's for each spectral region may be added together to form 0'µ as in the line below, and then, on again expressing the partial z'µ in terms of L'µ (C to F) we get the new figures in the bottom row beneath the asterisks.

In z goo West Orange was chartered as a town.

Moreover, the solar period (II years) is far outside the limits of the periods of 1 Variable stars (except those sufficiently bright to have received special names) are denoted by the capital letters R to Z followed by the name of the constellation.

This point brings us to consider the matter-of-fact conditions of the villeins during the feudal period, especially in the z 2th, 13th and r4th centuries.

Thus, we must think in (r) All P is M " to avoid illicit process of the major, in (2) "All y is z " to avoid undistributed middle, in (3) "All x is y" to avoid illicit process of the minor.

Hamilton, still keeping prominently before him as his great object the invention of a method applicable to space of three dimensions, proceeded to study the properties of triplets of the form x+iy+jz, by which he proposed to represent the directed line in space whose projections on the co-ordinate axes are x, y, z.

Also, if 0 be the angle between them, and x", y", z" the direction-cosines of a line perpendicular to each of them, we have xx' +yy'+zz' =cos 0, yz' - zy" = x" sin 0, &c., so that the product of two unit lines is now expressed as - cos0+ (ix" +jy" +kz") sin 0.

This refers to the use of the x, y, z co-ordinates, - associated, of course, with i, j, k.

It is evident that this is a very delicate method of determining the wetness z, but, since with dry saturated steam at low pressures this formula always gives negative values of the wetness, it is clear that Regnault's numerical coefficients must be wrong.

The area of the place was apparently twice extended, a further portion of the narrow plateau, which now bears the name of Civita Vecchia, being each time taken in and defended by a mound and ditch; the nearer and better-preserved is about z m.

The total cut was under z of i% of the estimated stand.

Hanna, and in the National Republican Convention held in St Louis in June he was nominated for the presidency on the first ballot by 661 z out of a total of 906 votes.

In the Phoenician alphabet Zain was the seventh letter, occupying the same position and having the same form approximately (i) as the early Greek Z, while in pronunciation it was a voiced s-sound; Samech () followed the 'symbol for n of and was the ordinary s-sound, though, as we have seen, e it is in different Greek states at the earliest period as well as E; after the symbol for p came Zade (v), which was a strong palatal s, though in name it corresponds to the Greek Nra; while lastly Shin (W) follows the symbol for r, and was an sh-sound.

There is, however, considerable evidence in support of the view that Greek va representing the sound arising from Ky, xy, Ty, By was pronounced as sh (s), while representing gy, dy was pronounced in some districts zh (z).4 On an inscription of Halicarnassus, a town which stood in ancient Carian territory, the sound of vv in `AXoKapvaao-Ewv is represented by T, as it is also in the Carian name Panyassis (IIavvfiTcos, geni tive), though the ordinary is also found in the same inscription.

Y and Z were added in the last century of the republic for use in transliterating Greek words containing v and 1.1 The dialect which was most closely akin to Latin was Faliscan.

Similarly it used 4 and z for the Chalcidian Umbrian borrowed the first, Oscan the second form.

Either two sounds are confused under one symbol, or these records represent a dialect which, like Hebrew and Assyrian, shows sh, z, and c, where the ordinary Aramaic representation is t, d, and t, the Arabic tic, dh, and th.

He opened his attack on Dec. z i by a push on each wing of his front, from the Brenta valley and Monte Pertica against Col della Berretta, and against both sides of the Solarolo salient.

Since R2=X2+Y2+Z2, G2=L1+M2+N2, it is necessary and sufficient for equilibrium that the six quantities X, Y, Z, L, M, N, should all vanish.

If any other point 0, whose co-ordinates are x, y, z, be chosen in place of 0, as the point to which the forces are transferred, we have to write x1x, yiy, ZiZ for xl, Yi, z1,and so on, in the preceding process.

The first three terms express the work done by the components of a force (X, Y, Z) acting at 0, and the remaining three terms express the work of a couple (L, M, N).

For if the line in question be the axis of y, the first process gives us the values of mx, and the second the value of 2(mx.x) or Z(mx2).

S is the centre of force, SY is the per- z pendicular to the tangent at P, and Z is the point where VS meets the auxiliary circle again.

Again, if x, y, z be the co-ordinates of P, the component velocities of m are qzry, rxpz, pyqx, (6)

The component velocities of any point whose co-ordinates relative to 0 are x, y, z are then u+qzry, v+rxpz, w+Pyqx (12)

We will suppose that the extraneous forces consist of a known force (X, Y, Z) at the centre, and of the reactions (Fi, Ff, R) at the point of contact.

It is implied in the above description of the system that the Cartesian co-ordinates x, y, z of any particle of the system are known functions of the qs, varying in form (of course) from particle to particle.

By these and the similar transformations relating to y and z the equation (6) takes the form d IOT\ aT

It is obvious that the ratio V (x,y,z) (22)

Since y must vanish at the upper end (x 1), the admissible values of a are determined by o2=gz2/41, Jo(z)=o.

This combination is Z called a revolving, centrifugal, or conical pendulum.

Z is a point in the line of action of the resultant force F; hence through Z draw a line parallel to 0g.

The above construction for Z is a corollary of the general theorem given in 127.

Cantharidin constitutes from z to r% of cantharides.

The episode is known in American history as the " X Y Z Affair."

In 1909 the city had about 1000 acres of parks and r r z m.

Claussen's process consisted in steeping flax fibre or tow for twenty-four hours in a weak solution of caustic soda, next boiling it for about two hours in a similar solution, and then saturating it in a solution containing 5% of carbonate of soda, after which it was immersed in a vat containing water acidulated with z% of sulphuric acid.

H „ Light and represents a rise of about £I P „ Picked £3 G „ Grey £3 S „ Superior £4 W „ White £4 Z „ Zins Each additional mark means a rise in the price, but it must be understood that it is quite possible for a quality denoted by two letters to be more valuable than one indicated by three or more, since every mark has not the same value.

It agrees with z.

The leaves are long, slender, and of a bluish-green hue; the pendant cones are about i z in.

The language of the other parts of the Avesta is more modern, it not all of one date, so that we can follow the gradual decline Z Zend in the Avesta itself.

In the .consonantal system we col 1 struck by the abundance of sibilants (s and sh, in three forms modification, z and zh) and nasals (five in number), and by the rer mplete absence of 1.

The defensive powers of the body against microbes, when actually on or in it, may be classed as means (z) of passive defence, (2) of active defence, and (3) of repair.

Following Epictetus, he speaks of man as a corpse bearing about a soul; at another time he has a threefold division - (z) body, (2) soul, the seat of impulse (7rveu,uariov),.

If we take the axis of z normal to either surface of the film, the radius of curvature of which we suppose to be very great compared with its thickness c, and if p is the density, and x the energy of unit of mass at depth z, then o- = f o dz, (16) and e = f a xpdz,.

Let us examine the case in which the particle m is placed at a distance z from a curved stratum of the substance, whose principal radii of curvature are R 1 and R2.

Integrating with respect to f from f =z to f=a, where a is a line very great compared with the extreme range of the molecular force, but very small compared with either of the radii of curvature, we obtain for the work (1,G (z) - 111(a))dw, and since (a) is an insensible quantity we may omit it.

The function 0(z) is insensible for all sensible values of z.

If x' is the potential energy of unit of mass of the substance in vapour, then at a distance z from the plane surface of the liquid X = X' - 22 7rp 7rpe e ((zo)) ..

If the liquid forms a stratum of thickness c, then x = x' - 47rpo(o) +27rpo(z) +27rpo(Z - c).

The surface-density of this stratum is a = cp. The energy per unit of area is e = f xpdz=cp(X' -4lrpe(o))+27rp'f c 0(z) dz+27rp fee(c - z)dz.

Hence the surface-tension =e - =47rp 2 (f 0(z)dz - ce(c)).

Integrating the first term within brackets by parts, it becomes - fo de Remembering that 0(o) is a finite quantity, and that Viz = - (z), we find T = 4 7rp f a, /.(z)dz (27) When c is greater than e this is equivalent to 2H in the equation of Laplace.

If the density be a, the attraction between the whole of one side and a layer upon the other distant z from the plane and of thickness dz is 27r6 2 P(z)dz, reckoned per unit of area.

The expression for the intrinsic pressure is thus simply K= 2 iro 2 f 1,G(z)dz (28) In Laplace's investigation o- is supposed to be unity.

We may call the value which (28) then assumes Ko, so that as above Ko =27rf (z)dz.

If a i, a 2 represent the densities of the two infinite solids, their mutual attraction at distance z is per unit of area 21ra l a fZ '(z)dz, (30) or 27ra l 02 0(z), if we write f 4,(z)dz=0(z) (31) The work required to produce the separation in question is thus 2 7ru l a o 0 (z)dz; (32) and for the tension of a liquid of density a we have T = a f o 0 (z)dz.

In all cases to which it is necessary to have regard the integrated terms vanish at both limits, and we may write f o (z)dz = 3f2' z 3 4(z)dz, f o z(z)dz = 'a' z4 cb(z)d z; (36) so that Ko = 3 f o z3 ?(z) dz, To = $?

If We Assume M A Tx.E.Vz.A", We Have, Considering In Turn Length, Time And Mass, Y 3Z U=O, 2X 2Y=O, X Z=I; So That Y= X, Z =1 X, U=3 2X.

If we make CR=z, and suppose z to vary, the shape of the bubble of course remaining the same, the values of y and of a will change, but the other quantities will be constant.

Suppose, therefore, that the equation of the boundary is r =a+a cos kz, (I) where a is a small quantity, the axis of z being that of symmetry.

From (3) it appears that the time in which a disturbance is multiplied in a given ratio varies, not as d, but as d z.

Let the surface of separation be originally in the plane of the orifice, and let the co-ordinates x and y be measured from one corner parallel to the sides a and b respectively, and let z be measured upwards.

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.

If this quantity is of the same sign as z, the displacement will be increased, and the equilibrium will be unstable.

If it is of the opposite sign from z, the equilibrium will be stable.

One form of the solution of the equation, and that which is applicable to the case of a rectangular orifice, is z =C sin px sin qy.

When the orifice is circular of radius a, the limiting value of a is 1 J' z, where z is the least root of the equation FIG.

It had been the usual practice of previous paymasters to appropriate to themselves the interest of all money lying in their hands by way of advance, and also to accept a commission of Z% on all foreign subsidies.

Of `Ali Riza's 25 divisions, 3 were scattered between Prishtina and the Austrian frontier, 31 at Scutari, z at Dibra, and i at Prizren; 2 opposing the Greek main army in Thessaly and 2 the Greek secondary army in Epirus; 3 in the Struma valley and i guarding the railway between Veles and Salonika, making, in all, 16 which were totally unavailable for battle in the decisive theatre.'

It consists of z oo volumes containing 689 works, of which there are two or three complete sets in Europe, one of them in the India Office library.

The consonants, b, d, f, k, I, m, n, p, r, v, z, are as in English; g = Eng.

Of Svatopluk Cech's many poems, which are all inspired by national enthusiasm, Vaclav z Michalovic, Lesetinsky Kovar (the smith of Lesetin) and Basne otroka (the songs of a slave) are the most notable.

The pieces vary from 4 lb to 1 z lb in weight.

This operation is performed in July or August during the dry weather, by making transverse incisions i z to 2 in.

For ordinary detailed work the best series of maps is found in Bartholomew's Survey Atlas of England and Wales (Edinburgh Geographical Institute, 1903), which, besides small distributional, physical and other maps and letterpress, contains a magnificent series of colouredcontour maps on the scale of z in.

Girders projecting below the floor are usually encased in from z to 2 in.

The faces s are striated parallel to their edge of intersection with r; this serves to distinguish r and z, and thus, in the absence of x faces, to distinguish leftor right-handed crystals.

Usually they are interpenetration twins with the principal axis as twin-axis; the prism planes of the two individuals coincide, and the faces r and z also fall into the same plane.

Such twins may therefore be mistaken for simple crystals unless they are attentively studied; but the twinning is often made evident by the presence of irregularly bounded areas of the duller z faces coinciding with the brighter r faces.

The heaths and the rhenoster or rhinoceros wood, a plant z to 2 ft.

Thus, the velocity across a little hemisphere of sand only z in.

Pipes vary in bore from z in.

In order to ensure a high degree of sensitiveness, balances are sometimes constructed so that Z is slightly below the line joining X and Y, and is only slightly above H, the centre of gravity of the beam with the scale - pans and chains attached.

The addition of weights in the scales will have the effect of raising the point H till it gets above Z, and the balance, becoming unstable, will turn till it is brought up by a stop of some kind.

Then if Z be below the line joining X and H, the steelyard will be " accelerating "; i.e.

It is situated on the south shore of the Firth of Forth, i z m.

The dry substance consumed per zoo lb live weight in a ration of z lb cake and corn, 12 lb roots and i lb hay daily, would be 162 per week, and this gives an increase of nearly% live weight or i lb of live weight increase for 84 lb of dry food eaten.

For instance, a cube whose edge is I z in.

It served, however, to precipitate the crisis on the continent of Europe; the great army assembled at Boulogne was turned eastwards; by the capitulation of Ulm (October 19) Austria lost a large part of her forces; and the last news that reached Pitt on his A t lit death-bed was that of the ruin of all his hopes by the US er Z crushing victory of Napoleon over the Russians and Austrians at Austerlitz (December 2).

We can only use the general equation (*fix, y, z) m = o, say for shortness u= o, of a curve of the mth order, which equation, so long as the coefficients remain arbitrary, represents a curve without nodes or cusps.

Secondly, as to the inflections, the process is a similar one; it can be shown that the inflections are the intersections of the curve by a derivative curve called (after Ludwig Otto Hesse who first considered it) the Hessian, defined geometrically as the locus of a point such that its conic polar (§ 8 below) in regard to the curve breaks up into a pair of lines, and which has an equation H = o, where H is the determinant formed with the second differential coefficients of u in regard to the variables (x, y, z); H= o is thus a curve of the order 3 (m - 2), and the number of inflections is =3m(m-2).

In particular if D =o, that is, if the given curve be unicursal, the transformed curve is a line, 4 is a mere linear function of 0, and the theorem is that the co-ordinates x, y, z of a point of the unicursal curve can be expressed as proportional to rational and integral functions of 0; it is easy to see that for a given curve of the order m, these functions of 0 must be of the same order m.

And so if D =2, then the transformed curve is a nodal quartic; 4 can be expressed as the square root of a sextic function of 0 and the theorem is, that the co-ordinates x, y, z of a point of the tricursal curve can be expressed as proportional to rational and integral functions of 0, and of the square root of a sextic function of 0.

It is a form of the theorem for the case D = r, that the coordinates x, y, z of a point of the bicursal curve, or in particular the co-ordinates of a point of the cubic, can be expressed as proportional to rational and integral functions of the elliptic functions snu, cnu, dnu; in fact, taking the radical to be r -0 2 .r - k 2 0 2, and writing 8 =snu, the radical becomes = cnu, dnu; and we have expressions of the form in question.

The range of modification of which the rami or limb-branches of the limbs of Arthropoda are capable is very large, and in allied orders or even families or genera we often find d z what is certainly the palp of the same appendage (as determined by numerical position of the segments) - in one case antenniform, in another chelate, in another pediform, and in another reduced to a mere stump or absent altogether.

Classified according to religion, about 69% are Protestants, 30% Roman Catholics, and Jews amount to about z %.

At Novi on the z 5th of August he encountered Suvarov.

On the morning of the z 8th Brumaire (November 9) the Ancients, to whom that power belonged, decreed the transference of the councils to St Cloud.

Considering the equations ax +by +cz =d, a'x +b'y +c' z =d', a"x+b"y+cnz=d" and proceeding to solve them by the so-called method of cross multiplication, we multiply the equations by factors selected in such a manner that upon adding the results the whole coefficient of y becomes = o, and the whole coefficient of z becomes = o; the factors in question are b'c" - b"c', b"c - be", bc' - b'c (values which, as at once seen, have the desired property); we thus obtain an equation which contains on the left-hand side only a multiple of x, and on the right-hand side a constant term; the coefficient of x has the value a(b'c" - b"c') +a'(b"c - bc") +a'(bc' - b'c), and this function, represented in the form a, b,c, a' b'c', a" b" c" is said to be a determinant; or, the number of elements being 32, it is called a determinant of the third order.

Reverting to the system of linear equations written down at the beginning of this article, consider the determinant ax+by+cz - d,b,c a' x+b' y+c'z - d', b', c" a"x+b"y+c"z - d", b", c" it appears that this is viz.

We might in a similar way find the values of y and z, but there is a more symmetrical process.

If the point P is so adjusted over the quicksilver that the ray is reflected back Z 0 0 FIG.

Natural gas abounds in the same region, and several strong wells were developed in 1906, and immediately afterwards gas began to be used largely for industrial purposes for which in 1908 the price was from 1 z to 15 cents per moo ft.

Sopater, the commentator on Hermogenes, wrote on M€Ta130Xai Kai merairocicr as Twv z j,uoaOivovs Xwpiwv, " adaptations or transcripts of passages in Demosthenes."

The resultant of these is = 2a cos 2 (k 2 - k i)z cos {nt - 1(k2 -Fk2)z}, = 2a sin 2 (k 2 - ki)z cos {nt - z (k i + k2)z}, which shows that for any fixed value of z the light is plane polarized in a plane making an angle 1(k 2 - ki)z = ir(X i - X7 1)z, with the initial plane of polarization, X 1 and being the wave-lengths of the circular components of the same frequency.

The most generally approved form of this box is known as the "i-lb section," made from a strip of wood z in.

Loch Gelly, from which the town takes its name, situated z m.

E., measures z m.

The iris diaphragm can be regulated by the lever p; it can also be turned to one side round the pivot z, so that the condenser k can be removed or changed.

The attractiveness of the petal is often due wholly or in part to surface markings; thus the cuticle of the petal of a pelargonium, when viewed with a z or 4-in.

In 1810 Sir John Leslie combined with the air pump a vessel containing strong sulphuric acid for absorbing the vapour from the air, and is said to have succeeded in producing I to 1 z lb of ice in a single operation.

Fermat's Problem is that x n +y n =z n is impossible for integral values of x, y and z when n is greater than 2.

Such substances are derived from (z) the chemical elements and their compounds; (2) plants; and (3) animals.

Only the (Z) isomer was formed in analogy to the N, O ketene acetals.

As time passes, the Z Warriors become aware of the new androids as they battle again and again but always reach a stalemate.

The results of a post mortem showed that Mrs Z died from acute myocardial infarction and coronary artery atheroma.

The most general comprehension axiom of Z is the axiom of Separation.

Analog outputs are available for each x, y, z axis from the hybrid.

Some people can stop taking benzodiazepines or Z drugs with little difficulty.

From boulder strewn floor many boulder strewn floor many boulder mazes lead off including a ' z alley ' .

January cottage is our largest 2 bedroomed cottage, and sleeps four plus a cot or Z bed.

A homeomorphism that has at least one continuous derivative (w.r.t. z) and a continuously differentiable inverse is a diffeomorphism.

Exercise 8.7 Let z = f (x / y ), where f is suitably differentiable.

The profound lack of circulating a1-antitrypsin predisposes the Z a1-antitrypsin homozygote to early onset emphysema.

Don't be worried or fooled by by this truly encyclopedic book - it is not a boring A to Z book.

The new protocol accounts for the reversal in selectivity observed in changing from Z enol borinates to unsubstituted enol borinates to unsubstituted enol borinates.

X Y Z A " Ah, but Cristina doesn't eat foie gras!

The ratio K o = s ' he ratio K o = s ' h / s ' z is known as the coefficient of earth pressure at rest.

Of the book italian german spanish Filipino immigrants in to z tab.

T Adds a transmission line of characteristic impedance z in series with the impedance z in series with the impedance in X, transforming its impedance in most cases.

This makes Z values incomparable across methods, and needed to be corrected for.

The Raven Stone A class one Pictish stone showing the Sea Eagle and notched rectangle with z rod symbols the black infill is recent.

G.R. Driver suggests that lz)z( may have been derived from the Arabic 'azâzu(n) 'rough ground' to which a formative lamed was added 5.

Gray scale conversion is based on the C.I.E. x,y,z system where y represents luminance.

Mrs Z suffered from osteoarthritis, so muscular pain was not unusual.

His most recent books include Orientalism, The A to Z of Postmodern Life and the co-authored international bestseller Why Do People Hate America?

The principal percipient is Miss Z, aged 21 at the time of our interview in 1973.

The variation in z is displayed on a computer screen as a series of gray scales denoting surface protrusions.

Not being able Master Z's Dart & Pool Supply the scenes camera believe quarterback is tone that congress.

It is a suggestive coincidence that the space density of bright optical quasars also reached a peak sometime around z = 2-3.

In the main pages, the entry " Best z " gives the cluster redshift if available, otherwise the redshift of the identification.

Miss Z was then seen by the senior registrar who diagnosed sciatica.

The variance explained by Z alone is not shown by node shading.

Near-infrared spectroscopy of very faint galaxies very close to bright QSOs at 1 z 4 can be achieved with Gemini.

Accuracy in the Z direction depends solely on the Z axis stepper motor.

Francisco bay was colony japanese american to z tab.

Dawn of the Dead movie trailer review pics pictures poster news DVD at The Z Review.. .

Mr Z was uncooperative with an examination of his nervous system and seemed unsteady to the staff grade doctor.

Dr. Z had employed the salaried GP to assist with her heavy workload.

The p orbitals at the second energy level are called 2p x, 2p y and 2p z.

It is easily seen to be about an axis perpendicular to the scattered ray (x, y, z), inasmuch as _ _ x&Ji+y02+z03 Let us consider the more special case of a ray scattered normally to the incident ray, so that x=o.

The pinion z and the toothed wheel d are connected by an intermediate wheel and pinion Y; the numbers of teeth in the wheels and pinions are so proportioned that twenty-four revolutions of the micrometer screw produce one revolution of the drum and wheel d.

Rotation of the box round CC is prevented by downward pressure of the spring Z on a projection attached to the side of the box.

A scale N on the cylinder Z serves for setting the slide to any required position.

The house branches pipes are I Z in.

By unity Boole denoted the universe of thinkable objects; literal symbols, such as x, y, z, v, u, &c., were used with the elective meaning attaching to common adjectives and substantives.

The torque corresponding to this couple is F 1 X z D = 2µWID, and hence follows the fundamental relation, 2T = 2F 1 D = 2µWID, or if W now represents the weight supported by the axle, F will be the tractive force exerted on the frame by the two axle-boxes to propel the vehicle, and the more convenient relation is established, T=2FD=2µWD (3) If T has a greater value than this relation justifies the wheels will slip. F is called the " tractive force " at the rail.

H.P. - (Were ?-W v r v)V ?2240WV ?2240WVa (22) 55 0 550 550G 550g where W e is weight of engine and tender in tons, Wv the weight of vehicles in tons, W the weight of train in tons =W e r e and r z, the respective engine and vehicle resistances taken from the curves fig.

In each case, the first sign of equality comes under (iv.) above, the second under (iii.), and the fourth under (i.); but the third sign comes under (i.) in the first case (the statement being that z of £io=£5) and under (ii.) in the second.

It is known (see Spherical Harmonics) that The maxima of C occur when d Ji(z) _Ji'(z) J1(z) =o; z) z z2 or by (17 when J2(z) =0.

Let 0 be any point in the medium situated at a distance from the point 0 1 which is large in comparison with the length of a wave; let O/O=r, and let this line make an angle 0 with the direction of propagation of the incident light, or the axis of x, and 4, with the direction of vibration, or axis of z.

After his elevation he wrote an abridgment for his monks of IEthelwold's De consuetudine monachorum, 5 adapted to their rudimentary ideas of monastic life; a letter to Wulfgeat of Ylmandun 6; an introduction to the study of the Old and New Testaments (about io08, edited by William L'Isle in 1623); a Latin life of his master i z Ethelwold 7; a pastoral letter for Wulfstan, archbishop of York and bishop of Worcester, in Latin and English; and an English version of Bede's De Temporibus.8 The Colloquium, 9 a Latin dialogue designed to serve his scholars as a manual of Latin conversation, may date from his life at Cernel.

Another species of glass manufacture in which the Egyptians would appear to have been peculiarly skilled is the so-called mosaic glass, formed by the union of rods of various colours in such a manner as to form a pattern; the rod so formed was then reheated and drawn out until reduced to a very small size, z sq.

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.

To determine the component acceleration of a particle, suppose F to denote any function of x, y, z, t, and investigate the time rate of F for a moving particle; denoting the change by DF/dt, DF = 1t F(x+uSt, y+vIt, z+wSt, t+St) - F(x, y, z, t) dt at = d + u dx +v dy+ w dz and D/dt is called particle differentiation, because it follows the rate of change of a particle as it leaves the point x, y, z; but dF/dt, dF/dx, dF/dy, dF/dz (2) represent the rate of change of F at the time t, at the point, x, y, z, fixed in space.

Starting with the exact equations of motion in a resisting medium, (43) d2t cos i = ds, d 2 y d 44 dt2 = -r sin i-g= -rds-g, and eliminating r, (45) dt - - cos z, or the equation obtained, as in (18), by resolving normally in the trajectory, but di now denoting the increment of i in the increment of time dt.

Beyond the cloister, at the extreme verge of the convent area to the south, stands the "factory" (Z), containing workshops for shoemakers, saddlers (or shoemakers, sellarii), cutlers and grinders, trencher-makers, tanners, curriers, fullers, smiths and goldsmiths, with their dwellings in the rear.

There is no reason for doubting that the Nicomachean Ethics to the end of Book vii., the Eudemian Ethics to the end of Book Z, and the Magna Moralia as far as Book ii.

From this result it follows (see Probability) that the standard deviation of the array, which we have taken as a measure of individual variability, is equal to the standard deviation of the race multiplied by V I - (2) z or by * These results cannot be accepted as final, but they are based on so many investigations of animals and plants, of such widely different kinds, that they may confidently be expected to hold for large classes of organic characters.

The rivers of the southern versant are waters of capacious drainage, the basin of the Kahayan having, for instance, an area of z 6,000 sq.

Skipwith, a judge of the common pleas, cited a statute under which for any erasure in the rolls to the deceit of the king z oo marks fine was imposed for every penny, and so Wykeham owed 960,000 marks.

The forces acting on the portion of liquid P 1 P 2 A 2 A 1 are - first, the horizontal pressures, - pgy i and z pgy 2; second, the surface-tension T acting at P i and P2 in directions inclined 01 and 0 2 to the horizon.

Hence X =4gp(h, 2 +h 2 2) - T{I - 2(sin a i +sin a2)}, or, substituting the values of h 1 and h2, I T2 X = - 2 (cos a, +cos a2)2 2 pga - T { I - z (sin a l +sin a 2) - T12 (cos a t +cos a 2) (cot a t +cot a 2) } the remaining terms being negligible when a is small.