Let a disturbance once set going travel along unchanged in form from A to B with velocity U.
It is a pleasantsmelling liquid which boils at 233° C. It is practically unchanged when boiled with aniline.
Rhyn stood in the same place she'd left him, unchanged in any way.
In 1885 it was shown by Bidwell, in the first of a series of papers on the subject, that if the magnetizing force is pushed beyond the point at which Joule discontinued his experiments, the extension of the bar does not remain unchanged, but becomes gradually less and less, until the bar, after first returning to its original length, ultimately becomes actually shorter than when in the unmagnetized condition.
- Teeth of Upper Jaw of Opossum (Didelphys marsupialis), all of which are unchanged, except the third premolar, the place of which is occupied in the young animal by a molariform tooth, represented in the figure below the line of the other teeth.
For a single quantic of the first order (ab) is the symbol of a function of the coefficients which vanishes identically; thus (ab) =a1b2-a2bl= aw l -a1ao=0 and, indeed, from a remark made above we see that (ab) remains unchanged by interchange of a and b; but (ab), = -(ba), and these two facts necessitate (ab) = o.
Throughout the operation of increasing the focal length, the resolving power of the instrument, which depends only upon the aperture, remains unchanged; and we thus arrive at the rather startling conclusion that a telescope of any degree of resolving power might be constructed without an object-glass, if only there were no limit to the admissible focal length.
We shall regard the external force as applied in the form of a pressure X per square centimetre parallel to the line of propagation and varied from point to point as required in order to make the disturbance travel on unchanged in form with the specified velocity U.
The azines are mostly yellow in colour, distil unchanged and are stable to oxidants.
The number of institutes devoted to secondary education remained almost unchanged between 1880-1881 and 1895-1896.
The arrangements thus established by Augustus continued almost unchanged till the time of Constantine, and formed the basis of all subsequent administrative divisions until the fall of the Western empire.
Those who were unwilling to accept evolution, without better grounds than such as are offered by Lamarck, and who therefore preferred to suspend their judgment on the question, found in the principle of selective breeding, pursued in all its applications with marvellous knowledge and skill by Darwin, a valid explanation of the occurrence of varieties and races; and they saw clearly that, if the explanation would apply to species, it would not only solve the problem of their evolution, but that it would account for the facts of teleology, as well as for those of morphology; and for the persistence of some forms of life unchanged through long epochs of time, while others undergo comparatively rapid metamorphosis.
This is the typical river of which there are infinite varieties, yet every variety would, if time were given, and the land remained unchanged in level relatively to the sea, ultimately approach to the type.
- It will be seen that apologetics by no means reissued unchanged from the long period of authority.
(g) Our knowledge of primitive forms of sacrifice is meagre; even were it more extensive, it would probably be impossible to determine the origin or origins of sacrifice; for no ritual has necessarily survived unchanged in form and meaning since its inception, and even permanence of form cannot be taken to imply a corresponding permanence of meaning for the worshippers.
In three days, has a strong ammoniacal odour, which rapidly disappears, and in consequence of the loss of ammonia the latex will not keep for longer than a day unchanged; hence when it has to be carried to a distance from the place of collection, 3% of ammonia solution is added.
Undue stress is often laid on the fact that Lingula has come down to us apparently unchanged since Cambrian times, whilst Crania, and forms very closely resembling Discina and Rhynchonella, are found from the Ordovician strata onwards.
We can see that (abc)a x b x c x is not a covariant, because it vanishes identically, the interchange of a and b changing its sign instead of leaving it unchanged; but (abc) 2 is an invariant.
It consists of a chancel, nave and porch, in such unchanged condition that E.
Other conditions remaining unchanged, the force between two poles is proportional to the product of their strengths; it is repulsive or attractive according as the signs of the poles are like or unlike.
The small magnet may be a sphere rigidly magnetized in the direction of Ho; if this is replaced by an isotropic sphere inductively magnetized by the field, then, for a displacement so small that the magnetization of the sphere may be regarded as unchanged, we shall have dW = - vIdHo = v I+-, whence W = - 2 I + H2 ° (37) The mechanical force acting on the sphere in the direction of displacement x is 1 Hopkinson specified the retentiveness by the numerical value of the " residual induction " (=47rI).
The statements in ancient authorities as to the changes in the number of the equites during the regal period are very confusing; but it is regarded as certain that Servius Tullius found six centuries in existence, to which he added twelve, making,' eighteen in all, a number which remained unchanged throughout the republican ' period.
Their names also remain unchanged, except that of the federalized district in which the national capital is located, which is called the " districto federal."
This government, formed of gentiluomini or nobles, did not remain unchanged throughout the whole period, but was gradually forced to accept the participation of the popolani or lower classes, whose efforts to rise to power were continuous and determined.
If the wave-length remains unchanged, similar effects are produced by an increase in the scale of the aperture.
They remained essentially unchanged for centuries, and the Locrians subsequently enjoyed a high reputation as upholders of the law.
The filter presses remain substantially unchanged, although many ingenious but slight alterations have been made in their details.
After the decay of the roots some of the unchanged bacteria are left in the soil, where they remain ready to infect a new leguminous crop.
Apparatus can also be constructed in which the unchanged vapours are continually circulated through the tube.
They have remained unchanged ever since, though the terms of subscription have been modified.
Whatever the form of a wave, we could always force it to travel on with that form unchanged, and with any velocity we chose, if we could apply any " external " force we liked to each particle, in addition to the " internal " force called into play by the compressions or extensions.
A Serpent was the Egyptian equivalent of Scorpio; the Arrow only of Sagittarius was retained; Capricornus became " Life," or a Mirror as an image of life; Aquarius survived as Water; Taurus, Virgo and Pisces remained unchanged.'
In order that the velocity shall remain unchanged the tension T must remain the same.
Suppose that a disturbance is travelling with velocity U unchanged in form along a rod from left to right.
Let the disturbance be supposed to travel unchanged in form from left to right with velocity U.
(33) But the condition of unchanged form requires that the matter shall twist through (dB/dx)dx while it is travelling over dx, i.e.
Generally, if any condition in the wave is carried forward unchanged with velocity U, the change of 4 at a given point in time dt is equal to the change of as we go back along the curve a distance dx = Udt at the beginning of dt.
We shall investigate the external force needed to make a train of plane waves travel on unchanged in form with velocity U.
If the velocity U is so chosen that E - poU 2 = o, then X = o, or the wave travels on through the action of the internal forces only, unchanged in form and with velocity U = (E/p).
(6) The pressure X is introduced in order to show that a wave can be propagated unchanged in form.
This investigation is obviously not exact, for it assumes that the form is unchanged, i.e.
As we obtained the result on the supposition of unchanged form, we can of course only apply it for such short lengths and such short times that the part dealt with does not appreciably alter.