What, in the language of logicians, is the common differential principle which determines these various aspects of moral obligation to a common genius?
Depouilly for crêpon effects due to the differential shrinkage of fabrics under mercerisation, by processes and treatments long previously described by Mercer.
All the other laws since discovered are nothing else; they are in sum, differential equations; but it is astronomy which furnished the first model for them, without which we should doubtless long have erred.
Or to speak the language of mathematics, the differential equations of motion would be of the first order in the first case, and of the third order in the second case.
If we deduce directly from Newton's law the differential equations which define the variation of these distances, these equations will not be of the second order.
The principle of least action suffices, then, to determine the differential equations which define the variations of the parameters q.
For us a law is something quite different; it is a constant relation between the phenomenon of to-day and that of to-morrow; in a word, it is a differential equation.
Physical law would then assume an entirely new aspect; it would no longer be solely a differential equation, it would take the character of a statistical law.
It may, therefore, be said that without these theories we should not know partial differential equations.
Mathematicians would say the movements of all the material molecules of the universe depend on differential equations of the second order.
We have seen that the coordinates of bodies are determined by differential equations of the second order, and that so are the differences of these coordinates.
To sum up, the aim of mathematical physics is not only to facilitate for the physicist the numerical calculation of certain constants or the integration of certain differential equations.
There we meet the physicist or the engineer, who says to us: "Please integrate this differential equation for me; I might need it in a week in view of a construction which should be finished by that time.
Are the differential equations of the problem too simple for us to apply the laws of chance?
Sling the anchor to the tripping hook on the differential block of the forward davit, swing clear of rail, and lower close to water.
Mouse upper hooks of differentialblocks and lash well with marline the tripping hooks.
It is easy to account for this differential motion upon the surface of a glacier, since it is clear that the friction of the sides of the channel must retard the motion of ice as it does that of water.
These irregularities result from the combined effect of the differential motion (as illustrated in the diagram on page 4), and the influence of sunshine and warm air in irregularly melting the unprotected masses.
If time enough had elapsed, the whole accumulation would have been levelled by the glacier and spread over the broader area where the more rapid lines of movement became confluent, and where the differential motion was less marked.
Upon subsequently observing them, Tyndall found, as he expected, that there was a differential motion among them as in the stakes upon the surface.
Already the outlines of a differential anatomy, and a different physiology and a differential psychology, which will explain to us the unique in the constitution, the temperament and character of an individual, emerge.
Zenger's differential photometer that we shall finally cite is an improvement upon Bunsen's.
This system again gives the differential to the Valley cities in trade with the markets of the Orient, our own west coast, and South America.
The ten-day lag in peak of first clutches of the northern over the southern sample is about what would be expected on the basis of differential inception of the biological growing season from south to north each spring.
It is not hereby meant to ignore the fact that differential responses to dominant environmental variables occur within a species, indicating endogenous control over timing of breeding.
The Sangamo differential shunt meter is designed to meet these requirements, and it consists essentially of a Sangamo meter with two shunts connected as shown.
A differential relay is one whose electromagnet has two windings.
By means of an instantaneous differential relay connected in the secondaries of current transformers installed on both the high and low voltage sides of each transformer bank.
The relay~ consists of a ~U~ shaped magnet core having a differential winding and a pivoted armature controlling the contacts which open and close the shunt circuit across the exciter field rheostat.
To prevent serious unbalancing of voltages in Edison three-wire systems causing trouble, differential balance relays are used to trip the circuit breakers on a small percentage of unbalancing.
Circuit diagram of Sangamo ~differential shunt type ampere hour meter~ for use in battery charging.
Psychometric instruments, or better, the instruments of esthesiometry, are prepared in their differential gradations upon the laws of Weber, which were in truth drawn from experiments made upon adults.
This is the acquisition of a fineness of differential perception, which can be obtained only through auto-education.
The education of the senses has, as its aim, the refinement of the differential perception of stimuli by means of repeated exercises.
The aim is to educate the eye to the differentialperception of dimensions.
The irregularity of the coast, due to depression, is for a while increased by differential wave wear on harder and softer rocks.
Early next morning we blocked up our car and took off the rear axle, uncoupled the differential case and found everything there intact.
Such differential effects do not exist, and it seems to follow that changes in the Earth's rotation period and in its form could have been only slight while the stratification of our rocks was in progress.
In any event, Great Britain has never raised a tariff wall against it, never protected her traders by a single differential duty.
With the advent of Fransen van de Putte, as colonial minister in 1863, began a series of far-reaching reforms in the East Indies, including the lowering of the differential duties.
By the Navigation Laws all differentialand transit dues upon shipping were reduced; tolls on through-cargoes on the rivers were abolished, and the tariff on raw materials lowered.
But we can cause this differential action to become evident by another means.
In the experiments on negative variation, it was tacitly assumed that the variation is due to a differential action, stimulus producing a greater excitation at the uninjured than at the injured end.
Stimulus acts on both A and B, but owing to injury of B, effect at A is stronger and a negative variation due to differential action occurs.
Again a resultant differential action may be obtained even when the disturbance reaches both A and B, if the electrical excitability of one point is exalted or depressed by physical or chemical means.
As a consequence of the differential survival, most of the breeding population in the spring was made up of animals born the previous October and November.
Differential survival of voles according to month when first caught.
The graph shows differential survival according to time of birth.
A study of the age groups in each month's population revealed a differential survival based on the season of birth.
Now, how far or to what advantage we may be able to utilize this differential tension of electricity in the earth and the air, we cannot now say; but I think that we may justly look for valuable developments in this direction.
Third, can we utilize the differential tension of dynamic caloric in the earth and the atmosphere as a first power?
There may be the form of townships, but the differential characteristic is lacking--the self-governing element of the township.
Provision is made for automatically moving the contact q by electrical means and thus the complete balance of the two differential circuits is maintained constant from second to second.
Diagram of wiring of differential circuit with shunts used with resistance thermometers for water-circuit 38 20.
Diagram of wiring of differential circuit with its various shunts, used in connection with resistance thermometers on water-circuit of bed calorimeter.
The apparatus depends fundamentally upon the perfect balancing of the two sides of a differentialelectric circuit.
With the differential exposed to view, the manner of disassembling it will be apparent.
How are the Rear Axle andDifferential disassembled?
After running the truck about 500 miles, the oil should be drained off by removing the lower oil plug, and the differential filled with fresh lubricant.
How is the Differential Gear removed from the Shaft?
Remove bolts which hold the two halves of differential housing together.
The differential is supplied with the required amount of lubricant when the truck leaves the factory and the supply should be maintained by replenishments as required.
The differential is supplied with the required amount of lubricant when the car leaves the factory.
The differential gears are attached to the inner ends of the rear axle shaft.
Then remove the rear axle housing cap; also the bolts which hold the two halves of the differential housing together.
The differential gear is fastened to the inner end of the rear axle shaft by means of splines, and is held in position by a ring which is in two halves and fits in a groove in the rear axle shaft.
Take the inner differential casing apart and draw the axle shaft out.
If necessary to disassemble differential a very slight mechanical knowledge will permit one to immediately discern how to do it once it is exposed to view.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "differential" in a variety of sentences. We hope that you will now be able to make sentences using this word.
