With-respect-to sentence examples

  • This produces an opening and closing of the edges symmetrically with respect to the telescope axis.

    0
    0
  • In one sense tt may be said to stand to theological literature in Scotland in something of the same position as that occupied by the Canon Mirificus with respect to the scientific literature, for it is the first published original work relating to theological interpretation, and is quite without a predecessor in its own field.

    0
    0
  • As early as the beginning of the 9th century Ameland was a lordship of the influential family of Cammingha who held immediately of the emperor, and in recognition of their independence the Amelanders were in 1369 declared to be neutral in the fighting between Holland and Friesland, while Cromwell made the same declaration in 1654 with respect to the war between England and the United Netherlands.

    0
    0
  • Since our conception of velocity is essentially relative, it is plain that any property possessed by a body in virtue of its motion can be effectively possessed by it only in relation to those bodies with respect to which it is moving.

    0
    0
  • All of them make use of Marconi's antenna in some form both at the transmitting and at the receiving end, all of them make use of an earth connexion, or its equivalent in the form of a balancing capacity or large surface having capacity with respect to the earth, which merely means that they insert a condenser of large capacity in the earth connexion.

    0
    0
  • Locke half playfully touches on certain monsters, with respect to which it is difficult to determine whether they ought to be called men.

    0
    0
  • He differs from him with respect to the ultimate motive of that process of gradual evolution which reveals itself alike in nature and in mind.

    0
    0
  • Bonnet's eminent contemporary, Buffon, held nearly the same views with respect to the nature of the germ, and expresses them even more confidently.

    0
    0
  • Professor Rhys Davids has put forward similar views with respect to the Jatakas and the Sutta Nipata in his Buddhist India, and with respect to the Nikayas in general in the introduction to his Dialogues of the Buddha.

    0
    0
  • At stations the points that give access to sidings are generally arranged as trailing points with respect to the direction of traffic on the main lines; that is, trains cannot pass direct into sidings, but have to stop and then run backwards into them.

    0
    0
  • The " true mother of his mind as well as of his health " was a maiden aunt - Catherine Porten by name - with respect to whom he expresses himself in language of the most grateful remembrance.

    0
    0
  • On the 1st of September 1890 the Board of Agriculture assumed powers with respect to pleuro-pneumonia under the Diseases of Animals Act of that year.

    0
    0
  • There is considerable uncertainty with respect to the names of the species of Aplysia.

    0
    0
  • The situation of the lateral nervestems in the different genera with respect to the muscular layers lends definite support to the interpretation of their homologies here given and forms the basis of Burger's classification.

    0
    0
  • These results may be graphically represented as follows: numbering the hydrogen atoms in cyclical order from i to 6, then the first thesis demands that whichever atom is substituted the same compound results, while the second thesis points out that the pairs 2 and 6, and 3 and 5 are symmetrical with respect to 1, or in other words, the di-substitution derivatives 1.2 and 1.6, and also 1.3 and 1.5 are identical.

    0
    0
  • Petermann (Ann., 1869, 149, p. 129) provided the proof of the equivalence of the atoms 2 and 6 with respect to 1.

    0
    0
  • Hence the positions occupied by the nitro groups in the two different nitrobrombenzoic acids must be symmetrical with respect to the carboxyl group. In 1879, Hubner (Ann., 1 95, p. 4) proved the equivalence of the second pair, viz.

    0
    0
  • Therefore there must be another pair of hydrogen atoms, other than 2 and 6, which are symmetrical with respect to 1.

    0
    0
  • The value of this ringed structure was readily perceived, but objections were raised with respect to Kekule's disposal of the fourth valencies.

    0
    0
  • If the crystal structure be regarded as composed of 0 three interpenetrating point systems, one consisting of sulphur atoms, the second of four times as many oxygen atoms, and the third of twice as many potassium atoms, the systems being so arranged that the sulphur system is always centrally situated with respect to the other two, and the potassium system so that it would affect the vertical axis, then it is obvious that the replacement of potassium by an element of greater atomic weight would specially increase the length of w (corresponding to the vertical axis), and cause a smaller increase in the horizontal parameters (x and 1/ '); moreover, the increments would advance with the atomic weight of the replacing metal.

    0
    0
  • Maps differ greatly, not only as to the scale on which they are drawn, but also with respect to the fullness or the character of the information which they convey.

    0
    0
  • Ptolemy's great merit consists in having accepted the views of Hipparchus with respect to a projection suited for a map of the world.

    0
    0
  • In the 2nd century of the Christian era we find a marked change with respect to the institution of slavery, both in the region of thought and in that of law.

    0
    0
  • The latter would, indeed, be gradually affected; and accordingly we have observed a change in the policy of the law, indicating a change in sentiment with respect to the slave class, which does not appear to have been at all due to Christian teaching.

    0
    0
  • By these Cuba was bound not to incur debts her current revenues will not bear; to continue the sanitary administration undertaken by the military government of intervention; to lease naval stations (since located at Bahia Honda and Guantanamo) to the United States; and finally, the right of the United States to intervene, if necessary, in the affairs of the island was explicitly affirmed in the provision, " That the government of Cuba consents that the United States may exercise the right to intervene for the protection of Cuban independence, the maintenance of a government adequate for the protection of life, property and individual liberty, and for discharging the obligations with respect to Cuba imposed by the treaty of Paris on the United States, now to be assumed and undertaken by the government of Cuba."

    0
    0
  • satisfy such and such conditions, then such and such other conditions hold with respect to them."

    0
    0
  • The figures obtainable with respect to shipping are approximate, the statistical data not being altogether complete.

    0
    0
  • The concentration of the simple copper ions is then so much diminished that the copper plate becomes an anode with regard to zinc. Thus the cell - copper I potassium cyanide solution I potassium sulphate solution - zinc sulphate solution I zinc - gives a current which carries copper into solution and deposits zinc. In a similar way silver could be made to act as anode with respect to cadmium.

    0
    0
  • The ions carry their charges with them, and, as a matter of fact, it is found that water in contact with a solution takes with respect to it a positive or negative potential, according as the positive or negative ion travels the faster.

    0
    0
  • His knowledge of hydraulics caused him to be frequently consulted with respect to the management of canals and other watercourses in various parts of Europe.

    0
    0
  • As a consequence of the structure of the molecule, which is an aggregation of atoms, the planes of the orbits around the latter may be oriented in various positions, and the direction of revolution may be right-handed or left-handed with respect to the direction of any applied magnetic field.

    0
    0
  • When, as in the application to rectangular or circular apertures, the form is symmetrical with respect to the axes both of x and y, S = o, and C reduces to C = ff cos px cos gy dx dy,.

    0
    0
  • In the case of the circular aperture the distribution of light is of course symmetrical with respect to the focal point p=o, q=o; and C is a function of p and q only through 11 (p 2 -}-q 2).

    0
    0
  • The integrations may also be effected by means of polar coordinates, taking first the integration with respect to 4) so as to obtain the result for an infinitely thin annular aperture.

    0
    0
  • If the subject of examination be a luminous line parallel to n, we shall obtain what we require by integrating (4) with respect to 77 from - oo to + oo.

    0
    0
  • E is then the co-ordinate relatively to 0 of any focal point 0' for which the retardation is R; and the required result is obtained by simply integrating (5) with respect to from - cc to +oo.

    0
    0
  • By differentiation with respect to g i it may be proved that from g, = - oo to g i = - 2h1, from g, = - 2h, to g1=0, from g, = 0 to g, =2h,, from g,=2h, to g,=oo.

    0
    0
  • It is then verified that, after integration with respect to dS, (6) gives the same disturbance as if the primary wave had been supposed to pass on unbroken.

    0
    0
  • The factor (I -cos 0) shows in what manner the secondary disturbance depends upon the direction in which it is propagated with respect to the front of the primary wave.

    0
    0
  • When the secondary disturbance thus obtained is integrated with respect to dS over the entire plane of the lamina, the result is necessarily the same as would have been obtained had the primary wave been supposed to pass on without resolution, for this is precisely the motion generated when every element of the lamina vibrates with a common motion, equal to that attributed to dS.

    0
    0
  • Under these circumstances the double differentiation with respect to t of any quantity is equivalent to multiplication by the factor - n 2, and thus our equations take the form (b 2 v 2 + n2)E+(a2 - b2) ds (b2 2 + n2)n +(a2 - b2 y =0 (7).

    0
    0
  • But the development of mathematical and physical science soon introduced a fundamental change in the habits of thought with respect to medical doctrine.

    0
    0
  • The symptoms of disease were explained as efforts of the soul to rid itself from morbid influences, the soul acting reasonably with respect to the end of self-preservation.

    0
    0
  • Here at least the medieval system, in spite of any anomalies with respect to modern conditions, has resisted reform, and no other municipal body shares the traditions and peculiar dignity of the City Corporation.

    0
    0
  • The act of 1899 swept away all these distinctions, and constituted the new borough councils in every case the overseers for every parish within their respective boroughs, except that the town clerk of each borough performs the duties of overseers with respect to the registration of electors.'

    0
    0
  • This shows that the C.P. is the antipole of the line of intersection of its plane with the free surface with respect to the momental ellipse at the C.G.

    0
    0
  • within which the C.P. must lie when the area is immersed completely; the boundary of the core is therefore the locus of the antipodes with respect to the momental ellipse of water lines which touch the boundary of the area.

    0
    0
  • of the wedge of immersion and emersion, will be the C.P. with respect to FF' of the two parts of the water-line area, so that b 1 b 2 will be conjugate to FF' with respect to the momental ellipse at F.

    0
    0
  • of the fluid, equal to the weight vertically upward through the movement of a weight P through a distance c will cause the ship to heel through an angle 0 about an axis FF' through F, which is conjugate to the direction of the movement of P with respect to an ellipse, not the momental ellipse of the water-line area A, but a confocal to it, of squared semi-axes a 2 -hV/A, b 2 - hV/A, (I) h denoting the vertical height BG between C.G.

    0
    0
  • 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.

    0
    0
  • (22) But if the outside cylinder is moved with velocity U1, and the inside cylinder is solid or filled with liquid of density v, 2 U i 2pb2 and the inside cylinder starts forward or backward with respect to the outside cylinder, according as p> or < v.

    0
    0
  • Beginning with a single body in liquid extending to infinity, and denoting by U, V, W, P, Q, R the components of linear and angular velocity with respect to axes fixed in the body, the velocity function takes the form = Ucb1+V42+W43+ P xi+Qx2+Rx3, (I) where the 0's and x's are functions of x, y, z depending on the shape of the body; interpreted dynamically, C -p0 represents the impulsive pressure required to stop the motion, or C +p4) to start it again from rest.

    0
    0
  • = dx ?+xd%y ds ds ds ds +2 l dd, so that the velocity of the liquid may be resolved into a component -41 parallel to Ox, and -2(a 2 +X)ld4/dX along the normal of the ellipsoid; and the liquid flows over an ellipsoid along a line of slope with respect to Ox, treated as the vertical.

    0
    0
  • The partial differential coefficient of T with respect to a component of velocity, linear or angular, will be the component of momentum, linear or angular, which corresponds.

    0
    0
  • Conversely, if the kinetic energy T is expressed as a quadratic function of x, x x3, y1, y2, y3, the components of momentum, the partial differential coefficient with respect to a momentum component will give the component of velocity to correspond.

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

    0
    0
  • But the presence of the medium makes the effective inertia depend on the direction of motion with respect to the external shape of the body, and on W' the weight of fluid medium displaced.

    0
    0
  • the precedin investigation, the liquid stops dead when the body is brought to rest and when the body is in motion the surrounding liquid moves in uniform manner with respect to axes fixed in the body, and the force experienced by the body from the pressure of the liquid on it surface is the opposite of that required to change the motion of the liquid; this has been expressed by the dynamical equations give above.

    0
    0
  • So also the principles laid down by Howard with respect to the vacuum pan hold good to-day: larger pans have been made and their heating surface has been increased, but it has been found by practice now, as it was found then, that an ordinary worm or coil 4 in.

    0
    0
  • But with respect to the New Testament his position was conservative.

    0
    0
  • Thus with respect to early religious beliefs he rejected Hume's notion that religion sprang out of the fears of primitive men, in favour of the theory that it represents the first attempts of our species to explain phenomena.

    0
    0
  • Gladstone resigned office, in order, as he announced in the debate on the address, to form " not only an honest, but likewise an independent and an unsuspected judgment," on the plan to be submitted by the government with respect to Maynooth.

    0
    0
  • Since the potential of a small charge of electricity dQ at a distance r is equal to dQ/r, and since the potential of all parts of a conductor is the same in those cases in which the distribution of surface density of electrification is uniform or symmetrical with respect to some point or axis in the conductor, we can calculate the potential by simply summing up terms like rdS/r, where dS is an element of surface, o- the surface density of electricity on it, and r the distance from the symmetrical centre.

    0
    0
  • Any closed path or figure, such as ABCD, represents a complete cycle or series of operations, in the course of which the substance is restored to its original state with respect to temperature, intrinsic energy and other properties.

    0
    0
  • Since the two expressions (9) are the partial differential-coefficients of a single function E of the independent variables v and 0, we shall obtain the same result, namely d 2 E/d0dv, if we differentiate the first with respect to v and the second with respect to 0.

    0
    0
  • If we also assume that they are constant with respect to temperature (which does not necessarily follow from the characteristic equation, but is generally assumed, and appears from Regnault's experiments to be approximately the case for simple gases), the expressions for the change of energy or total heat from 00 to 0 may be written E - Eo = s(0 - 0 0), F - Fo = S(0-00).

    0
    0
  • But it is highly probable that this prohibition, in the case of the Targums, was mainly enforced with respect to those parts of the Old Testament which were read in the synagogal services, e.g.

    0
    0
  • But later Jewish exegesis was especially concerned to eliminate everything in the sacred writings that might give rise to misconception with respect to God on the part of the unlearned.

    0
    0
  • Thus, when it is said that the first y ear of the Incarnation corresponds to the first of the 195th Olympiad, we are to understand that it is only with respect to the last six months of that year that the correspondence takes place.

    0
    0
  • This construction would give all the advantage of the younger Dollond's object-glass micrometer, and more than its sharpness of definition, without liability to the systematic errors which may be due to want of homogeneity of the object-glass; for the lenses will not be turned with respect to each other, but, in measurement, will always have the same relation in position angle to the line joining the objects under observation.

    0
    0
  • One segment is fixed, and the measures are made as in the first method, excepting that the eye-piece is placed symmetrically with respect to the images under measurement.

    0
    0
  • In determinations of stellar or solar parallax, comparison stars, symmetrically situated with respect to the object whose parallax is sought, should be employed, in which case the instantaneous scale-value may be regarded as an unknown quantity which can be derived in the process of the computation of the results.

    0
    0
  • When the inclination of the movable half with respect to the axis of the telescope is changed by rotation about an axis at right angles to the plane of division, two images are produced.

    0
    0
  • Helmholtz in his " Ophthalmometer " has employed Clausen's principle, but arranges the plates so that both move symmetrically in opposite directions with respect to the telescope axis.

    0
    0
  • and therefore T, are measured by the algebraical sum of their individual moments with respect to the axis.

    0
    0
  • Thus the contribution to the total impulsive pressure exerted on the area dS in time dt from this cause is mu X udtdS X (11 3 m 3 /,r 3)e hm (u2+v2+w2 )dudvdw (I o) The total pressure exerted in bringing the centres of gravity of all the colliding molecules to rest normally to the boundary is obtained by first integrating this expression with respect to u, v, w, the limits being all values for which collisions are possible (namely from - co too for u, and from - oo to + oo for v and w), and then summing for all kinds of molecules in the gas.

    0
    0
  • The aggregate amount of these pressures is clearly the sum of the momenta, normal to the boundary, of all molecules which have left dS within a time dt, and this will be given by expression (pp), integrated with respect to u from o to and with respect to v and w from - oo to +oo, and then summed for all kinds of molecules in the gas.

    0
    0
  • A cause is that which contains the effect (" causa aequat effectum "), but this is precisely what can never be proved with respect to anything that is claimed as a real cause in the concrete world.

    0
    0
  • Indeed, some of the chief contrasts of the two continents arise not so much from geological unlikeness as from their unsymmetrical situation with respect to the equator, whereby the northern one lies mostly in the temperate zone, while the southern one lies mostly in the torrid zone.

    0
    0
  • But from the English conquest to the close of the colonial era the chief purpose of the government with respect to education was to prepare leaders for the state church; to this end King's College was founded in 1754, and from 1704 to 1776 the other schools were principally those maintained by the Society for the Propagation of the Gospel in Foreign Parts.

    0
    0
  • Two years later, by a revision of the Charter of Privileges and Exemptions, the prohibition on manufactures was abolished, the privileges of the original charter with respect to patroons were extended to " all good inhabitants of the Netherlands," and the estate of a patroon was limited to 4 m.

    0
    0
  • Republicans carried the state for Fremont for president, and a succession of Republican governors held office until 1862 when the discouragement in the North with respect to the Civil War brought a reaction which elected Seymour governor.

    0
    0
  • Certain propositions are often stated with respect to sovereignty.

    0
    0
  • A further proposition often stated with respect to sovereignty is that it is unlimited: a proposition which is not true of the legal or political sovereign.

    0
    0
  • The hopes of Fesch with respect to Regensburg were also damped by an arrangement of the year 1810 whereby Regensburg was absorbed in Bavaria.

    0
    0
  • Thus, in the middle ages, we find extremely bold pronouncements with respect to the position of.

    0
    0
  • But, under the guise of a restoration on conservative lines, Ultramontanism - notwithstanding the totally different conditions which now obtain - girds itself to work for an ideal of religion and culture in vogue during the middle ages, and at the same time holds itself justified in adopting the extreme point of view with respect to all questions which we have mentioned.

    0
    0
  • The position of these fringes will depend on the total retardation in time of the one beam with respect to the other; and thus it might be expected to vary with the direction of the earth's motion,.

    0
    0
  • 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.

    0
    0
  • For the simplest case of polarized waves travelling parallel to the axis of x, with the magnetic oscillation y along z and the electric oscillation Q along y, all the quantities are functions of x and t alone; the total current is along y and given with respect to our moving axes by __ (d_ d Q+vy d K-1 Q, dt dx) 47rc 2 + dt (4?rc 2) ' also the circuital relations here reduce to _ dydQ _dy _ dx 47rv ' _ dt ' d 2 Q dv dx 2 -417t giving, on substitution for v, d 2 Q d 2 Q d2Q (c2-v2)(7372 = K dt 2 2u dxdt ' For a simple wave-train, Q varies as sin m(x-Vt), leading on substitution to the velocity of propagation V relative to the moving material, by means of the equation KV 2 + 2 uV = c 2 v2; this gives, to the first order of v/c, V = c/K i - v/K, which is in accordance with Fresnel's law.

    0
    0
  • After the foundation of the German Empire, the duties of the Zollverein became those of Germany, and for a time the liberal regime was maintained and extended, with respect to the tariff as with respect to other matters.

    0
    0
  • Legendre shows that Maclaurin's theorem with respect to confocal ellipsoids is true for any position of the external point when the ellipsoids are solids of revolution.

    0
    0
  • f (q sec i)' from which the values of t, x, y, i, and tan i are given by integration with respect to q, when sec i is given as a function of q by means of (51).

    0
    0
  • Now taking equation (72), and replacing tan B, as a variable final tangent of an angle, by tan i or dyldx, (75) tan 4) - dam= C sec n [I(U) - I(u)], and integrating with respect to x over the arc considered, (76) x tan 4, - y = C sec n (U) - f :I(u)dx] 0 But f (u)dx= f 1(u) du = C cos n f x I (u) u du g f() =C cos n [A(U) - A(u)] in Siacci's notation; so that the altitude-function A must be calculated by summation from the finite difference AA, where (78) AA = I (u) 9 = I (u) or else by an integration when it is legitimate to assume that f(v) =v m lk in an interval of velocity in which m may be supposed constant.

    0
    0
  • The system of representation that, with the rapid growth of population in the north-east sections, especially in the city of Baltimore, placed the government in the hands of a decreasing minority also began to be attacked about this time; but the fear of that minority which represented the tobacco-raising and slave-holding counties of south Maryland, with respect to the attitude of the majority toward slavery prevented any changes until 1837, when the opposition awakened by the enthusiasm over internal improvements effected the adoption of amendments which provided for the election of the governor and senators by a direct vote of the people, a slight increase in the representation of the city of Baltimore and the larger counties, and a slight decrease in that of the smaller counties.

    0
    0
  • His teaching on the subject is not altogether unqualified; but, on the whole, with respect to exchanges of every kind, where economic motives alone enter, his voice is in favour of freedom.

    0
    0
  • The second of these relations is an important one, as it shows that from a table of logarithms to base a, the corresponding table of logarithms to base b may be deduced by multiplying all the logarithms in the former by the constant multiplier i/logab, which is called the modulus of the system whose base is b with respect to the system whose base is a.

    0
    0
  • Edward Wright died, as has been mentioned, in 1615, and his son, Samuel Wright, in the preface states that his father " gave much commendation of this work (and often in my hearing) as of very great use to mariners "; and with respect to the translation he says that " shortly after he had it returned out of Scotland, it pleased God to call him away afore he could publish it."

    0
    0
  • For fuller details with respect to some of these works, for an account of tables published in the latter part of the 19th century, and for those which would now be used in actual calculation, reference should be made to the article Tables, Mathematical.

    0
    0
  • The Senate is composed of 24 members, one from each senatorial district, and these districts are formed so as to be approximately equal with respect to the amount of direct taxes paid in each; representation in this body is therefore apportioned on the basis of property.

    0
    0
  • It is with respect to this number of segments that respectively constitute the pygidium and the midregion of the body that Trilobites differ most markedly from each other; and it is a singular fact that the extremes in structural organization in this particular to be met with in the Trilobita are found side by side in strata of Cambrian age.

    0
    0
  • The maturely dissected and recently glaciated uplands of New England are now somewhat depressed with respect to sea-level, so that the sea enters the valleys, forming bays and estuaries, while the interfiuve uplands and hills stand forth in headlands and islands.

    0
    0
  • Growth of tile Nation in Population.If the I9th century was remarkable with respect to national and urban growth the world over, it was particularly so in the growth of the United States.

    0
    0
  • The subdivision of the day (q.v.) into twenty-four parts, or hours, has prevailed since the remotest ages, though different nations have not agreed either with respect to the epoch of its commencement or the manner of distributing the hours.

    0
    0
  • A different arrangement has, however, been followed with respect to the distribution of the months.

    0
    0
  • The Years Of The Hegira Are Purely Lunar, And Always Consist Of Twelve Lunar Months, Commencing With The Approximate New Moon, Without Any Intercalation To Keep Them To The Same Season With Respect To The Sun, So That They Retrograde Through All The Seasons In About 321 Years.

    0
    0
  • position with respect to the amino group. In these cases it has.

    0
    0
  • axis is fixed with respect to the earth, i.e.

    0
    0
  • And it is, indeed, difficult to suppose that agreement on this subject between different portions of the Church could have manifested itself at this time in the spontaneous manner that it does, except as the consequence of traditional feelings and convictions, which went back to the early part of the century, and which could hardly have arisen without good foundation, with respect to the special value of these works as embodiments of apostolic testimony, although all that came to be supposed in regard to their actual authorship cannot be considered proved.

    0
    0
  • " When I say," says Mach, " that a body A exerts a force on a body B, I mean that B, on coming into contraposition with A, is immediately affected by a certain acceleration with respect to A."

    0
    0
  • The monarchs on whom the privilegium was conferred received a right of priority with respect to the provinces first discovered by them.

    0
    0
  • In 1588 followed the new regulations with respect to the Roman Congregations, which henceforth were to be fifteen in number.

    0
    0
  • His opinion with respect to the relation between his science and his religion is expressed in a lecture on mental education delivered in 1854, and printed at the end of his Researches in Chemistry and Physics.

    0
    0
  • The Anglo-Russian convention of 1907 determined the following conditions with respect to Tibet - the recognition of the suzerain rights of China and the territorial and administrative integrity of the country; that no official representative at Lhasa should be appointed either by England or by Russia, and that no concessions for railways, mines, &c., should be sought by either power.

    0
    0
  • It is probable that the resemblance between Uranoscopus and Trachinus with respect to the colour of the dorsal fin is mutually beneficial to the two fishes.

    0
    0
  • It is to the different characters of the stations they occupy with respect to exposure, moisture, &c., that the variability observed in many types of lichens is to be attributed.

    0
    0
  • The same may be said with respect to the application of manures.

    0
    0
  • As to season, it is now admitted with respect to deciduous trees and shrubs that the earlier in autumn planting is performed the better; although some extend it from the period when the leaves fall to the first part of spring, before the sap begins to move.

    0
    0
  • This transfer will take place because the inner coatings of the Leyden jars have greater capacity with respect to the earth than the balls.

    0
    0
  • Regarded as useful for felt it is denominated staple fur, while with respect to its use with and on the pelt it is called fancy fur.

    0
    0
  • Notwithstanding the reported rights of the Russian imperial authorities over some regions with respect to these and other valuable fur-bearing animals, there are in addition to the numbers regularly sent to the trade auction sales in London many good parcels of raw skins to be easily bought direct, provided price is not the first consideration.

    0
    0
  • A collar is provided, which when tightened on the vertical axis, otherwise free to move, holds it rigidly in position with respect to the plate PP. To this collar is attached a slow-motion screw, working against a reaction spring, by which the plate rr can be rotated through a small arc. The upper plate carrying two, three .or four verniers vv is attached to a vertical coned pillar passing through the centre of the larger pillar and rotating in it; this plate can be clamped to the lower plate by means of the screw C, and can be rotated with respect to it by the slow-motion screw d.

    0
    0
  • In certain of the later writings, pre-eminently in the Dialogues on Natural Religion, Hume brings the result of his speculative criticism to bear upon the problems of current theological discussion, and gives in their regard, as previously with respect to general philosophy, the final word of the empirical theory in its earlier form.

    0
    0
  • de Morgan with respect to domed buildings of Susa, a disagreement of at least five centuries.

    0
    0
  • The conception of a race of animals or of plants as a group of individuals capable of being arranged in an orderly series with respect to the condition of a particular character enables us to define the "type" of that character proper to the race.

    0
    0
  • 1 and 2 may be taken as examples of three common forms of series into which the individuals of a race may be arranged with respect to a single character; a comparison of them will show how little can be learnt from a mere statement of racial type, without some knowledge of the way in which deviations from the type are distributed.

    0
    0
  • He admits that " the usages with respect to marriage which prevailed when the system was formed may not prevail at the present time."

    0
    0
  • began in earnest with the establishment of the Liberator by William Lloyd Garrison in 1831, soon led to the sending of innumerable petitions to congress for the abolition of slavery in the District of Columbia, over which the Federal government had jurisdiction, and for other action by congress with respect to that institution.

    0
    0
  • For it is easy to understand by the canons above mentioned that the greatest objects may appear exceedingly small, and the contrary, also that the most remote objects may appear just at hand, and the converse; for we can give such figures to transparent bodies, and dispose them in such order with respect to the eye and the objects, that the rays shall be refracted and bent towards any place we please, so that we shall see the object near at hand or at any distance under any angle we please.

    0
    0
  • Hence it is clear that if the two positive lenses of equal curvature power of o 60 and 0.102 respectively are combined with a negative lens of light flint o 569, then a triple objective, having no secondary spectrum (at any rate with respect to the blue rays), may be obtained.

    0
    0
  • (B) The polar axis is supported as in type A; the telescope is placed between the bearings of the declination axis and is mounted symmetrically with respect to the polar axis; no counterpoise is therefore requisite.

    0
    0
  • "It is no answer," said Lord Halsbury, "to say that by the ordinary principles of international law private property is respected by the sovereign which accepts the cession and assumes the duties and legal obligations of the former sovereign with respect to such private property within the ceded territory.

    0
    0
  • Numerous mineral deposits have been discovered, but little has been determined with respect to their value.

    0
    0
  • The heavenly bodies fall into two classes: (1) the fixed stars, or stars proper, which retain the same relative position with respect to one another; and (2) the planets, which have motions of a distinctly individual character, and appear to wander among the stars proper.

    0
    0
  • This time he not only carried out his instructions but, by further explorations together with interesting descriptions, dispelled general ignorance with respect to the main features of the country W.

    0
    0
  • Regulations have also been promulgated with respect to promissory notes, which have long existed in Korea.

    0
    0
  • He has the power to veto bills, to pardon, to grant reprieves and commutations, and to remit fines and forfeitures, but the Board of Charities and Reform constitutes a Board of Pardons for investigating all applications for executive clemency and advising the governor with respect to them.

    0
    0
  • Nightingale) in February 1785, the presiding judge having expressed himself favourably with respect to the sufficiency of the specification, a verdict was given for Arkwright.

    0
    0
  • On a motion for a new trial on the 10th of November of the same year it was stated that he was furnished with affidavits contradicting the evidence that had been given by Kay and others with respect to the originality of the invention; but the court refused to grant a new trial, on the ground that, whatever might be the fact as to the question of originality, the deficiency in the specification was enough to sustain the verdict, and the cancellation of the patents was ordered a few days afterwards.

    0
    0
  • Two plane figures so related are called reciprocal, since the properties of the first figure in relation to the second are the same as those of the second with respect to the first.

    0
    0
  • take the pole of each face of such a polyhedron with respect to a paraboloid of revolution, these poles will be the vertices of a second polyhedron whose edges are the conjugate lines of those of the former.

    0
    0
  • We may, for instance, employ the three Cartesian co-ordinates of a particular point 0 of the body, and three angular co-ordinates which express the orientation of the body with respect to 0.

    0
    0
  • If we take any polyhedron with plane faces, the null-planes of its vertices with respect to a given wrench will form another polyhedron, and the edges of the latter will be conjugate (in the above sense) to those of the former.

    0
    0
  • If a line is a null-line with respect to the wrench (X, Y, Z, L, M, N), the work done in an infinitely small rotation about it is zero, and its coordinates are accordingly subject to the further relation Lf+M~+Nl+XX+Yp+Zvo, (5~

    0
    0
  • be the perpendicular distances of the particles from any fixed plane, the sum ~(mh2) is the quadratic moment with respect to the plane.

    0
    0
  • /n be the perpendicular distances from any given axis, the sum ~(mp2) is the quadratic moment with respect to the axis; it is also called the moment of inertia about the axis.

    0
    0
  • r,~ be the distances from a fixed point, the sum ~(mr2) is the quadratic moment with respect to that point (or pole).

    0
    0
  • If we take rectangular axes through any point 0, the quadratic moments with respect to the co-ordinate planes are I,, = Z(mxi), I,,= Z(my1), I, = ~(mz2); (9) those with respect to the co-ordinate axes are Ii,, = ~lm(y~+z2)~, I,, = ~tm(z2+x2)l, I,, ~tm(x2+y1)j; (10) whilst the polar quadratic moment with respect to 0 is 10 = ~tm(x2+y2+z1)}.

    0
    0
  • the square of the radius of gyration with respect to a diameter is ia2.

    0
    0
  • Thus the sum ~(m.yz) is called the product of inertia with respect to the planes y=o, z=o.

    0
    0
  • This may be expressed in terms of the product of inertia with respect to parallel planes through G by means of the formula (14); viz.:

    0
    0
  • The quadratic moment,s with respect to different planes through a fixed point 0 are related to one another as follows.

    0
    0
  • The moment with respect to the plane XX+uy+vz=0, (22)

    0
    0
  • It appears from (24) that through any assigned point 0 three rectangular axes can be drawn such that the product of inertia with respect to each pair of co-ordinate planes vanishes; these are called the principal axes of inertia at 0.

    0
    0
  • If a, b, c be the semi-axes of the Binets ellipsoid of G, the quadratic moment with respect to the plane Xx + ~iy + vz =0 will be M(aX + bu + c2vi), and that with respect to a parallel plane ?.x+uy+vz=P (29)

    0
    0
  • The distance between the planes of and of will be of the second order of small quantities, and the quadratic moments with respect to of and co will therefore be equal, to the first order.

    0
    0
  • Since the quadratic moments with respect to w and of are equal, it follows that w is a plane 01 stationary quadratic moment at P, and therefore a principal plane of inertia at P. In other words, the principal axes 01 inertia at P are the normals to the three confocals of the systen (3,~) which pass through P. Moreover if x, y, z be the co-ordinates of P, (33) is an equation to find the corresponding values of 0; and if Of, 02, 03 be the roots we find Oi+O2+81r1a2$-7, (35)

    0
    0
  • A, B, C are the moments of inertia about the co-ordinate axes, and F, G, H are the products of inertia with respect to the pairs of co-ordinate planes.

    0
    0
  • The ellipsoids (41) and (4~i) are reciprocal polars with respect to a sphere having 0 as centre.

    0
    0
  • The graphical methods of determining the moment of inertia of a plane system of particles with respect to any line in its plane may be briefly noticed.

    0
    0
  • If we replace the mass of each particle by its moment, as thus found, we can in like manner obtain the quadratic moment of the system with respect to the line.

    0
    0
  • 59 p is the line with respect to which moments are to be taken, and the masses of the respective particles are indicated by the ft Z a corresponding segments of a line in the force-diagram, E drawn parallel to p. The A funicular ZABCD.

    0
    0
  • PART 11.KINETIcs coefficients with respect to the time; thus the velocity may be represented by i~ and the acceleration by fi or x.

    0
    0
  • If we integrate the equation (I) with respect to I between the limits 1, 1 we obtain mu_mu=fXdI.

    0
    0
  • which is equivalent to (I), with respect to x between the limits x0, x1, we obtain 3/4 mui2_4muo2=f~Xdx.

    0
    0
  • The work which would have to be supplied by other forces, extraneous to the field, in order to bring the particle from rest in some standard position P0 to rest in any assigned position P, will depend only on the position of P; it is called the statical or potential energy of the particle with respect to the field, in the position P. Denoting this by V, we have VX~x=o, whence X=--~.

    0
    0
  • which completely determines the path except as to its orient ation with respect to 0.

    0
    0
  • The converse problem, to determine the law of force under which a given orbit can be described about a given pole, is solved by differentiating (5) with respect to r; thus h1dp P=~1:,1~.

    0
    0
  • In any case of a central orbit the hodograph (when turned through a right angle) is similar and similarly situated to the reciprocal polar of the orbit with respect to the centre of force.

    0
    0
  • Now the moment of this localized vector with respect to any axis through G is zero, to the first order of &, since the perpendicular distance of G from the tangent line at G is of the order (ot)2.

    0
    0
  • If we integrate with respect to I between fixed limits, we obtain the principles of linear and angular momentum in the form previously given, Hence, whichever form of postulate we adopt, we are led to the principles of linear and angular momentum, which form in fact the basis of all our subsequent work.

    0
    0
  • whence, integrating with respect to t, 3/4M (~2 +5i) + 3/4162 =f(Xdx+Ydy +NdO) +const.

    0
    0
  • In this case the kinetic energy is given by 2T = M0 (u1 +v2+w1) +AP2 +Bq2 +Cr2 2Fqr 2Grp 2Hpq, (13) where M0 is the mass, and A, B, C, F, G, H are the moments and products of inertia with respect to the mass-centre; cf.

    0
    0
  • The resulting Z+R equations are not as a rule easy of application, owing to the fact that the moments and products of inertia A, B, C, F, G, H are not constants but vary in conse- 0 quence of the changing orientation of the body with respect to the co-ordinate axes.

    0
    0
  • If we eliminate P, Q, R from (22), the resulting equations are integrable with respect to t; thus Moa - M0a.

    0
    0
  • Again, the vector which represents the angular momentum with respect to 0 will be constant in every respect.

    0
    0
  • From these ~ may be eliminated, and on differentiating the resulting equation with respect to t we obtain l~ (u m cos 0)0.i cos 0,) Mgh sin ~ = 0.

    0
    0
  • In order that the moments and products of inertia with respect to these axes may be constant, it is in general necessary to suppose them fixed in the solid.

    0
    0
  • whenever increases by 4K/cr, when K is the complete elliptic integral of the first kind with respect to the modulus k.

    0
    0
  • and sum with respect to r from 1 to n, we obtain, in virtue of the relations /3ns= 13,r, llrrO,

    0
    0
  • Trans., 1830, 3, p. 1) is fulfilled in all systems which are symmetrical with respect to their diaphragm (briefly named " symmetrical or holosymmetrical objectives "), or which consist of two like, but different-sized, components, placed from the diaphragm in the ratio of their size, and presenting the same curvature to it (hemisymmetrical objectives); in these systems tan w'/ tan w= 1.

    0
    0
  • The optic figure seen in convergent polarized light through a section cut parallel to the plane of symmetry of a borax crystal is symmetrical only with respect to the central point.

    0
    0
  • The fundamental points which the delegates had to settle concerned (a) the basis of parliamentary representation, (b) the status of the natives with respect to the franchise, (c) the position of the Dutch language, (d) the form of government.

    0
    0
  • The writ is freely resorted to in Canada, and in 1905, 1906, two appeals came to the privy council from the dominion, one with reference to an extradition case, the other with respect to the right to expel aliens.

    0
    0
  • The criticisms to which Ricardo's general economic scheme is open do not hold with respect to his treatment of the subjects of currency and banking.

    0
    0
  • He considered the capillary phenomena to be of the same kind, but his explanation is not sufficiently explicit with respect to the nature and the limits of the action of the attractive force.

    0
    0
  • He also pointed out more distinctly the nature of the assumptions which we must make with respect to the law of action of the particles in order to be consistent with observed phenomena.

    0
    0
  • 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.

    0
    0
  • Since the two sides of the stratum are similar the last two terms are equal, and Differentiating with respect to c, we find dc = P' d p(x ' -41rpe (0))+47rp20(c).

    0
    0
  • Differentiating equation 9 with respect to s we obtain, after dividing by 27 as a common factor, pyds - T cos a ds + Ty s i n ad s =o...

    0
    0
  • Two laws were formulated by Savart with respect to the length of the continuous portion of a jet, and have been to a certain extent explained by Plateau.

    0
    0
  • Hence at a certain distance in front of the body there is a series of waves which are stationary with respect to the body.

    0
    0
  • Pasteur and Cohn also pointed out that putrefaction is but a special case of fermentation, and before 1872 the doctrines of Pasteur were established with respect to Schizomycetes.

    0
    0
  • Observations made on this property with respect to the anthrax bacillus at first gave the hope that it might explain variations in natural immunity.

    0
    0
  • Many of the larger species of Crustacea are used as food by man, the most valuable being the lobster, which is caught in large quantities on both sides of the North Altantic. Perhaps the most important of all Crustacea, however, with respect to the part which they play in the economy of nature, are the minute pelagic Copepoda, of which incalculable myriads form an important constituent of the " plankton " in all the seas of the globe.

    0
    0
  • The powers, duties and liabilities of the quarter sessions and justices out of session with respect to the county police were vested in the quarter sessions and the county council jointly, and are now exercised through the standing joint-committee of the two bodies.

    0
    0
  • They have the same powers with respect to manufacturing and mining pollutions, subject to certain restrictions, one of which is that proceedings are not to be taken without the consent of the Local Government Board.

    0
    0
  • In this respect they are in the same position as all other local authorities, with respect to whom it has been laid down that they may without any express power in that behalf use the funds at their disposal for protecting themselves against any attack made upon their existence as a corporate body or upon any of their powers or privileges.

    0
    0
  • All matters relating to the exercise of the powers of the education authority (except those of rating and borrowing) must be referred to the committee, and before exercising any of their powers the council must (except in cases of emergency) receive and consider the report of the education committee with respect to the matter in question.

    0
    0
  • The provisions with respect to the transaction of the business of the council are also the same in the case of a borough as in that of a county council.

    0
    0
  • A district council may from time to time make regulations with respect to summoning, notice, place, management and adjournment of their meetings, and generally with respect to the B n s transaction and management of their business.

    0
    0
  • There are some exceptions to this provision somewhat similar to those already mentioned with respect to the disqualification of members of the council.

    0
    0
  • Where the council do supply water, they have the same powers of carrying mains under streets or through private lands as they have with respect to the laying of sewers, as already mentioned.

    0
    0
  • Among the miscellaneous powers of an urban council with respect to streets may be mentioned the power to widen or improve, and certain powers incorporated from the Towns Improvement Clauses Act 1847, with respect to naming streets, numbering houses, improving the line of streets, removing obstructions, providing protection in respect of ruinous or dangerous buildings, and requiring precautions to be taken during the construction and repair of sewers, streets and houses.

    0
    0
  • An urban council may also provide slaughter-houses and make by-laws with respect to the management and charges for the use of them.

    0
    0
  • It is usually the case that the secondary caustic is easier to determine than the caustic, and hence, when determined, it affords a ready means for deducing, the primary caustic. It may be shown by geometrical considerations that the secondary caustic is a curve similar to the first positive pedal of the reflecting curve, of twice the linear dimensions, with respect to the luminous point.

    0
    0
  • Thus in the treaty with respect to Sarawak the latter is described as an " independent state under the protection of Great Britain."

    0
    0
  • The same remark holds good with equal or greater force with respect to the numerous points of mental similarity between the most distinct races of man..

    0
    0
  • xvi.) that, if for the sake of argument the solar atmosphere be taken as homogeneous in temperature and quality, forming a sheet which itself radiates as well as absorbs, the radiation which an unshielded ideal radiator at 6000° would give is represented well, both in sum and in the distribution of intensity with respect to wave-length, by another ideal radiator - now the actual body of ///4, *...

    0
    0
  • The theory can be put to a certain test by considering its implications with respect to colour.

    0
    0
  • Much the same tendency exists with respect to all drops between B and E, but at F the wind has begun to accommodate itself to the new regime and to assume more regular forward motion, and as J is approached, where vertical contraction of the passage through which the wind must pass takes place, there is an increasing tendency to lift the raindrops beyond their proper limits.

    0
    0
  • Any given yard of height measured during construction, or at any time after construction, will be less than a yard when additional weight has been placed upon it; hence the ends of such dams placed against rock surfaces must move with respect to those surfaces when the superincumbent load comes upon them.

    0
    0
  • Land is not in a satisfactory condition with respect to drainage unless the rain that falls upon it can sink down to the minimum depth required for the healthy development of the roots of crops and thence find vent either through a naturally porous subsoil or by artificial channels.

    0
    0
  • The end knife-edges are adjusted and tightly jammed into exact position by means of wedge pieces and set screws, and the beam is furnished with delicate adjusting weights at its top. The position of the beam with respect to the horizontal is shown by a horizontal pointer (not shown) projecting from one end of it, which plays past a scale, each division of which corresponds to the i l oth or i hth of a grain according to the size and delicacy of the machine.

    0
    0
  • At the meeting at which Newton was elected a description of a reflecting telescope which he had invented was read, and " it was ordered that a letter should be written by the secretary to Mr Newton to acquaint him of his election into the Society, and to thank him for the communication of his telescope, and to assure him that the Society would take care that all right should be done him with respect to this invention."

    0
    0
  • 24), informs us with reference to the customary yearly celebration of the mystery of the resurrection of our Lord, that disputes prevailed not only with respect to the day, but also with respect to the manner of fasting in connexion with it.

    0
    0
  • Our knowledge of the extinct Equisetales, full as it is with respect to certain types, does not suffice for a strictly phylogenetic classification of the group. The usual subdivision is into Equisetaceae including Equisetum and Equisetites (with which Phyllotheca and Schizoneura may be provisionally associated), and Calamariaceae, including Calamites and Archaeocalamites.

    0
    0
  • A dispute having arisen between the grand duke of Tuscany and the republic of Lucca with respect to the drainage of a lake, Boscovich was sent, in 1757, as agent of Lucca to Vienna, and succeeded in bringing about a satisfactory arrangement of the matter.

    0
    0
  • But in fact the outline of Paley's utilitarianism is to be found a generation earlier - in Gay's dissertation prefixed to Law's edition of King's Origin of Evil - as the following extracts will show: - " The idea of virtue is the conformity to a rule of life, directing the actions of all rational creatures with respect to each other's happiness; to which every one is always obliged..

    0
    0
  • Pursuing the inquiry, he found that its velocity was uniform with respect to no single point within the orbit, but that the areas described, in equal times, by a line drawn from the sun to the planet were strictly equal.

    0
    0
  • It is found that the direction of the moon's equator remains nearly invariable with respect to the plane of the orbit, and therefore revolves with that plane in a nodal period of 18.6 years.

    0
    0
  • The third point is that many theories which have been formulated with respect to such matters are unsatisfactory owing to the small amount of information concerning many of the tribes in the interior.

    0
    0
  • That this is not a necessary characteristic of light was discovered by Christian Huygens, who found that, whereas a stream of sunlight in traversing a rhomb of spar in any but one direction always gives rise to two streams of equal brightness, each of these emergent streams is divided by a second rhomb into two portions having a relative intensity dependent upon the position with respect to one another of the principal planes of the faces of entry into the rhombs - the planes through the axes of the crystals perpendicular to the refracting surfaces.

    0
    0
  • Examining the light reflected from the windows of the Luxemburg palace with a doubly refracting prism, he was led to infer (though more refined experiments have shown that this is not strictly the case) that light reflected at a certain angle, called the polarizing angle, from the surface of transparent substances has the same properties with respect to the plane of incidence as those of the ordinary stream in Iceland spar with respect to the principal plane of the crystal.

    0
    0
  • When the rings are coloured symmetrically with respect to two perpendicular lines the acute bisectrix and the plane of the optic axes are the same for all frequencies, and the colour for which the separation of the axes is the least is that on the concave side of the summit of the hyperbolic brushes.

    0
    0
  • Crossed, inclined and horizontal dispersion are characterized respectively by a distribution of colour that is symmetrical with respect to the centre alone, the plane of the optic axes, and the perpendicular plane.

    0
    0
  • There is, however, a marked difference between this magnetic rotation and that of a structurally active medium, for in the latter it is always right-handed or always left-handed with respect to the direction of the ray, while in the former the sense of rotation is determined by the direction of magnetization and therefore remains the same though the ray be reversed.

    0
    0
  • Wollaston, by blocking off one of the streams with a screen, sufficient lateral separation being obtained by combining two equal crystalline prisms cut differently with respect to the optic axis - an arrangement that achromatizes more or less completely the pencil that is allowed to pass.

    0
    0
  • Unlike the frictional generation of heat due to the resistance of the conductor, which Joule (1841) Table I.-Thermoelectric Power, p=dE/dt, IN Microvolts At 50° C. Of Pure Metals With Respect To Lead.

    0
    0
  • The components for any other combination of two are found by taking the algebraic difference of the values with respect to lead.

    0
    0
  • dE, namely, dE =dP+(s' - s")dT = (P/T)dT = pdT = (p" - p')dT, in which the coefficient, P, of the Peltier effect, and the thermoelectric power, p, of the couple, may be expressed in terms of the difference of the thermoelectric powers, p and p", of the separate metals with respect to a neutral standard.

    0
    0
  • The careful examination of the chain by members of the English and French Alpine Clubs has since 1880 considerably modified the views held with respect to its general character; the southern versant, formerly regarded as inferior in, area, has been proved to be the more important of the two.

    0
    0
  • Its breadth varies with the time and place of observation, depending upon the position of the ecliptic with respect to the horizon.

    0
    0
  • The manner in which the parts are arranged in the flower-bud with respect to each other before opening is the aestivation or praefloration.

    0
    0
  • 19 northern: - Ursa major, Ursa minor, Bootes, Draco, Cepheus, Cassiopeia, Andromeda, Perseus, Triangulum, Pegasus, Delphinus, Auriga, Hercules, Lyra, Cygnus, Aquila, Sagitta, Corona and Serpentarius; 13 central or zodiacal: - Aries, Taurus, Gemini, Cancer, Leo, Virgo, Libra, Scorpio, Sagittarius, Capricornus, Aquarius, Pisces and the Pleiades; and 12 southern: - Orion, Canis, Lepus, Argo, Cetus, Eridanus, Piscis australis, Ara, Centaurus, Hydra, Crater and The Phoenicians - a race dominated by the spirit of commercial enterprise - appear to have studied the stars more especially with respect to their service to navigators; according to Homer " the stars were sent by Zeus as portents for mariners."

    0
    0
  • The officers of the penitentiary and of the reformatory for boys are authorized to advise the governor with respect to an application for the pardon of an inmate of their institution, but he is not bound by their advice and there is no real restriction on his power to pardon except that he is not permitted to pardon in cases of impeachment.

    0
    0
  • Otherwise, let those who call themselves agnostic with respect to religion add that they are equally agnostic about orbiting teapots.

    0
    0
  • With respect to His prescience, there is nothing contingent; with respect to His providence, there is nothing accidental.

    0
    0
  • allay the concerns of the OSCE with respect to the Law on NGOs?

    0
    0
  • Genetically, races differ with respect to allele frequencies rather than in the possession of unique allele frequencies rather than in the possession of unique alleles.

    0
    0
  • annex i Parties have played their cards quietly with respect to this issue.

    0
    0
  • ascribe meaning to an object with respect to the context in which it appears.

    0
    0
  • The plaintiffs ' attorneys went into some great length to try to explain how the system works with respect to class actions.

    0
    0
  • background reading with respect to the two awards.

    0
    0
  • Therefore, with respect to Maths, 2002 can perhaps be regarded as a " statistical blip " on a gently falling trend.

    0
    0
  • In Morgan's refinement calculus it appears with respect to initial variable values.

    0
    0
  • McMahon's reply was somewhat non-committal save with respect to a restored Arab caliphate.

    0
    0
  • The study groups appear to have been well balanced with respect to baseline characteristics.

    0
    0
  • We shall now consider the utility of these scales with respect to speech and video in real-time multimedia communication (MMC ).

    0
    0
  • Located at the back of the 30s subunit body where it stabilizes the conformation of the head with respect to the body.

    0
    0
  • critical temperaturesition temperature is a maximum with respect to the composition.

    0
    0
  • Then for a given value of the optimum gain can be found by setting the partial derivative of with respect to to zero.

    0
    0
  • determinable color, and Carolina Blue and Duke Blue are determinate with respect to blue.

    0
    0
  • In summary, despite their more favorable position with respect to socioeconomic determinants of health, males have higher mortality rates.

    0
    0
  • differentiated with respect to the ideas they hold.

    0
    0
  • diffusion of guest molecules to the host surface is insignificant with respect to the reaction rate.

    0
    0
  • It has numerical gain 8.4 with respect to a practical half-wave dipole.

    0
    0
  • The DfT and the Contributors hereby disclaim any warranty with respect to the Contents, either expressed or implied.

    0
    0
  • JK also disclaims all liability with respect to the misuse, loss, modification, or unavailability of any User Content.

    0
    0
  • In addition I am struck by what, with respect to him, I may call the intellectual dishonesty of the father's position.

    0
    0
  • disparate with respect to dosing regimes, number of attacks studied and outcome measures precluding pooling of data for quantitative analysis.

    0
    0
  • We first describe the model of this exchange dyad and actors ' decision making with respect to behavior in a particular dyad.

    0
    0
  • egocentric frame, by locating the box with respect to me.

    0
    0
  • Their denotational semantics are fully abstract with respect to contextual equivalence.

    0
    0
  • The data from repetitive transcranial magnetic stimulation (rTMS) studies in healthy volunteers is also equivocal with respect to HERA.

    0
    0
  • equivocal with respect to the effect of ICT on literacy.

    0
    0
  • externalism with respect to the concept of justification would be.

    0
    0
  • freedom of expression with respect to religion.

    0
    0
  • The SAI pulses associated with the higher harmonics are relatively narrow with respect to the changes in period during the pitch glide.

    0
    0
  • heterogeneous with respect to their marginal productivity of labor.

    0
    0
  • homogeneous with respect to the test data.

    0
    0
  • We also find evidence of horizontal inequity with respect to ethnicity and employment.

    0
    0
  • integrable functions over the space with respect to the prior measure.

    0
    0
  • Failure to comply with any of the provisions with respect to these matters could render the application invalid.

    0
    0
  • We then perform an inversion with respect to the cage.

    0
    0
  • isomer shift should always be quoted with respect to a standard material.

    0
    0
  • This is especially true with respect to the struggling members of society, including laborers, farmers, fishermen, and the unemployed.

    0
    0
  • linear with respect to the size of set of samples.

    0
    0
  • In practice, trimming is usually done by a mechanical linkage that rotates the body of the pot with respect to the rotor.

    0
    0
  • Similar trends were seen with respect to low density lipoprotein.

    0
    0
  • Nonlethal weapons are legal with respect to jus in bello if the effects of the weapon are not long-term, debilitating, or irreversible.

    0
    0
  • metastable with respect to hexagonal ice (I h ).

    0
    0
  • For example, the 68000 family of 32-bit microprocessors exhibits open-endedness with respect to new instructions in two ways.

    0
    0
  • misappropriatentence would seem to limit the rights of Microsoft with respect to misappropriating intellectual property transmitted via these services.

    0
    0
  • neutral with respect to the property of homogeneity, even for function words.

    0
    0
  • nonprofit corporation is exempt from federal income tax, except with respect to unrelated business income.

    0
    0
  • normalized with respect to the density since the volume of a cluster is not well-defined.

    0
    0
  • nucleusby their optical properties, their efficiency to act as condensation nuclei and their lifetime with respect to deposition processes can be affected.

    0
    0
  • It is clear that with respect to the first image the extended jet structure lights up following the X-ray outburst.

    0
    0
  • Each region or ' grain ' has a different orientation with respect to some arbitrary axis perpendicular to the plane of the lattice.

    0
    0
  • I mean John Howard once said, or said with respect to this election, you can't fatten the pig on market day.

    0
    0
  • plaintiffs ' attorneys went into some great length to try to explain how the system works with respect to class actions.

    0
    0
  • polarization vector of the laser with respect to the laboratory reference frame.

    0
    0
  • There were no significant differences between the PMS and control groups with respect to serum progesterone levels.

    0
    0
  • promote learning with respect to linear programming.

    0
    0
  • So far we have only considered the case of small- t diffraction with respect to the outgoing proton.

    0
    0
  • Our findings are discussed with respect to previous works on the spectrum of energetic protons in the 10 MeV to GeV energy range.

    0
    0
  • Reactions may commonly be zero order, first order or second order with respect to a particular reactant.

    0
    0
  • It provides interesting background reading with respect to the two awards.

    0
    0
  • reconstruct the history of a gene tree with respect to a species tree.

    0
    0
  • skepticism with respect to induction and knowledge of the future.

    0
    0
  • stabilizes the conformation of the head with respect to the body.

    0
    0
  • During these times the population exhibits evolutionary stasis (ie, no change) with respect to the factor being measured.

    0
    0
  • stationary with respect to a rotating part.

    0
    0
  • submissive attitude with respect to an idea.

    0
    0
  • These models also imply that strong-flavour jets are highly supersonic with respect to their internal sound speed.

    0
    0
  • The primary endpoint with respect to efficacy was the incidence of venous thromboembolism.

    0
    0
  • Work is ongoing within OECD with respect to inhalation toxicology study guidelines.

    0
    0
  • To choose a basis with respect to which the matrix of a linear transformation has a particularly manageable form.

    0
    0
  • To cut off a p-n-p transistor we make the base positive with respect to emitter.

    0
    0
  • Variation in the survival rates of some British passerines with respect to their population trends on farmland.

    0
    0
  • A second form of this method takes a URL and will return true if the package is sealed with respect to the specified URL.

    0
    0
  • I would also like to comment briefly on what I perceive as a subtle negative undertone with respect to contribution of the private sector.

    0
    0
  • upwind machine has the blades in front of the nacelle with respect to the wind flow.

    0
    0
  • You hereby waive any claim you might have against us with respect to such other sites.

    0
    0
  • 7, and believed that by the use of wires,, much thicker than spider webs, the eye could estimate more accurately the symmetry of the star-images with respect to the wires.

    0
    0
  • moves both webs together with respect to the star's image in the direction of the axis of the screw.

    0
    0
  • Since the discovery of this fact all measurements have been made in that fixed position of the microscope with respect to the axis of the screw for which the errors of the screw have been determined.

    0
    0
  • In the Konigsberg transit instrument used by Struve and Cohn, the clockwork was attached to the eye-end of the instrument - a condition which is obviously undesirable both from the necessarily unsymmetrical position of the clockwork with respect to the optical axis, and from the impossibility of securing the uniform going of the clock in different positions of the instrument.

    0
    0
  • As a consequence of the report of this Commission the Railway Employment (Prevention of Accidents) Act of 'goo was passed, putting upon the Board of Trade the duty of making " such rules as they think fit with respect to any of the subjects mentioned in the schedule to this act, with the object of reducing or removing the dangers and risks incidental to railway service."

    0
    0
  • On the 31st of May 1775 a committee representing the militia companies of Mecklenburg county passed a series of resolutions which declared that the royal commissions in the several colonies were null and void, that the constitution of each colony was wholly suspended, and that the legislative and executive powers of each colony were vested in its provincial congress subject to the direction of the Continental Congress; and the resolutions requested the inhabitants of the county to form a military and civil organization independent of the crown of Great Britain which should operate until the Provincial Congress should otherwise provide or the British parliament should " resign its unjust and arbitrary pretensions with respect to America."

    0
    0
  • Common sense he defined as "that disposition which nature has placed in all or most men, in order to enable them, when they have arrived at the age and use of reason, to form a common and uniform judgment with respect to objects different from the internal sentiment of their own perception, which judgment is not the consequence of any anterior judgment."

    0
    0
  • The muscles in the Hexapoda are striated, as in Arthropods generally, the large fibres being associated in bundles which are attached from point to ` point of the cuticle, so .,/I i i I as to move adjacent sclerites with respect to one 4011 another (see figs.

    0
    0
  • Chem., 1888, p. 224), who has divided nitrogenous bodies into two classes with respect to it.

    0
    0
  • This act empowered the crown, by order in council, to put its provisions in force, when any foreign state, whose ships or subjects were engaged in the seal fishery in the area mentioned in the schedule thereto, had made, or was about to make, similar provisions with respect to its ships and subjects.

    0
    0
  • The resulting aerial motion in front is readily calculated (see Rayleigh, Theory of Sound, § 278); it is symmetrical with respect to the origin, i.e.

    0
    0
  • In differentiating e ikr/r with respect to r, we may neglect the term divided by r 2 as altogether insensible, kr being an exceedingly great quantity at any moderate distance from the origin of disturbance.

    0
    0
  • 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.

    0
    0
  • If the sphere r, degenerate to a point, the function 2rr 1 cos 0 has the limit d 2 - r2; this is the square of the tangent to the sphere from the point, and is named the "power of the sphere at the point," or the "power of the point with respect to the sphere."

    0
    0
  • A third proposition, often expressed with respect to sovereignty, is that it cannot be alienated: a proposition thus stated by Rousseau: "Je dis que la souverainete, n'etant que l'exercise de la volonte generale, ne peut jamais s'aliener" (Du Contrat social, 2.1; Figgis, p. 89).

    0
    0
  • Each of the disturbances altered the attitude of the mass with respect to the general base-level of the ocean surface; each movement therefore introduced a new cycle of erosion, which was interrupted by a later movement and the beginning of a later cycle.

    0
    0
  • Euclid (Elements, book 1) defines a plane angle as the inclination to each other, in a plane, of two lines which meet each other, and do not lie straight with respect to each other (see Geometry, Euclidean).

    0
    0
  • (a) With respect to corticolous lichens, some prefer the rugged bark of old trees (e.g.

    0
    0
  • (c) With respect to terrestrial species, some prefer peaty soil (e.g.

    0
    0
  • No person shall, without lawful authority, collect, record, publish or communicate, or attempt to elicit, any information with respect to the movement, numbers, description, condition or disposition of any of the forces, ships, or aircraft of His Majesty or any of His Majesty's allies, or with respect to the plans or conduct, or supposed plans or conduct, of any operations by any such forces, ships, or aircraft, or with respect to the supply, description, condition, transport or manufacture, or storage, or place or intended place of manufacture or storage of war material, or with respect to any works or measures undertaken for or connected with, or intended for the fortification or defence of any place, or any information of such nature as is calculated to be or might be directly or indirectly useful to the enemy, and if any person contravenes the provisions of this regulation, or without lawful authority or excuse has in his possession any document containing any such information as aforesaid, he shall be guilty of an offence against these regulations...

    0
    0
  • No failure on the part of a party to exercise, no delay in exercising, and no course of dealing with respect to any right, power, or privilege under this Agreement shall operate as a waiver thereof, nor shall any single or partial exercise of any such right, power, or privilege preclude any other or further exercise thereof or the exercise of any other right, power, or privilege under this Agreement.

    0
    0
  • in the refractive qualities of different kinds of glass with respect to their divergency of colours,"and was thus rapidly led to the construction of object-glasses in which first the chromatic and afterwards the spherical aberration were corrected (Phil.

    0
    0
  • xvi.) that, if for the sake of argument the solar atmosphere be taken as homogeneous in temperature and quality, forming a sheet which itself radiates as well as absorbs, the radiation which an unshielded ideal radiator at 6000° would give is represented well, both in sum and in the distribution of intensity with respect to wave-length, by another ideal radiator - now the actual body of ///4, *...

    0
    0
  • Unlike the frictional generation of heat due to the resistance of the conductor, which Joule (1841) Table I.-Thermoelectric Power, p=dE/dt, IN Microvolts At 50° C. Of Pure Metals With Respect To Lead.

    0
    0
  • The first he is willing to accept without further inquiry, though it is an error to suppose, as Kant seems to have supposed, that he regarded mathematical propositions as coming under this head (see HuME); with respect to the second, he finds himself, and confesses that he finds himself, hopelessly at fault.

    0
    0
  • All that I could say, then, with respect to farming on a large scale--I have always cultivated a garden--was, that I had had my seeds ready.

    0
    0
  • This was similar with respect to quinsy drainage and foreign body removal from the ear, nose and throat.

    0
    0
  • We describe the use of reconciled trees to reconstruct the history of a gene tree with respect to a species tree.

    0
    0
  • That is, you must accept skepticism with respect to induction and knowledge of the future.

    0
    0
  • Stator -- part of assembly that remains stationary with respect to a rotating part.

    0
    0
  • Any changes of style with respect to these twofold stylistic conventions are likely to change the epistemological claims.

    0
    0
  • I might take a submissive attitude with respect to an idea.

    0
    0
  • For viral safety with respect to transmissible agents, see section 4.4.

    0
    0
  • An upwind machine has the blades in front of the nacelle with respect to the wind flow.

    0
    0
  • The law with respect to divorce varies from state to state.

    0
    0
  • The Kyrgyz walnut tree forests with respect to their size and age, are unique on the world.

    0
    0
  • In the U.S., all 50 states have enacted legislation with respect to visitation rights for grandparents.

    0
    0
  • Add comments here.These wines were remarkably consistent, despite the fact that the composition of the wines varied greatly with respect to the varietals.

    0
    0
  • Individuals must maintain adequate nutrition, particularly with respect to carbohydrates.

    0
    0
  • HUD will often accept the highest bid, unless other requirements are met, such as the above with respect to firefighters and law enforcement officers.

    0
    0
  • The most common mistake made with respect to kid' swimsuits is machine washing and drying them.

    0
    0
  • Measure carefully to create a circular pattern that stays consistent with respect to the edge of the fabric.

    0
    0
  • Is the point centered with respect to the lobes?

    0
    0
  • Our new slides Amy and Christine, both on a 1.5" demi-wedge, are adorable and so versatile, both with respect to season/weather and the clothing they complement.

    0
    0
  • When a girl is shy or quiet, we chalk it up to good old fashion manners; however, when the same is true for a boy, it is viewed with respect to something completely different.

    0
    0
  • Follow your plan carefully with respect to these items.

    0
    0
  • Two factors make for easy French pronunciation with respect to English speakers.

    0
    0
  • Tolkien's plans with respect to the MiddleEarth universe he created in both the Hobbit and the Lord of the Rings weren't so easy to codify.

    0
    0
Browse other sentences examples →