We are thus led to the following statement: the change of kinetic energy due to any system of impulsive forces is equal to the sum of the products of the several forces into the semisum of the initial and final velocities of their respective points of application, resolved in the directions of the forces.
His conduct being attacked, he declined renomination for the governorship, but was unanimously returned by Albemarle as a delegate to the state legislature; and on the day previously set for legislative inquiry on a resolution offered by an impulsive critic, he received, by unanimous vote of the house, a declaration of thanks and confidence.
But if he lacked the brilliant qualities of his impulsive, jovial father, he possessed in a high degree the compensating virtues of moderation, sobriety and self-control.
It is clear that the position of a chancellor holding these views in relation to a ruler so masterful and so impulsive as the emperor William II.
He had left Moscow when Boris was a boy of fourteen, and had quite forgotten him, but in his usual impulsive and hearty way he took Boris by the hand with a friendly smile.
With a patience foreign to his impulsive nature, he submitted to minute drill in elocution, and became a fluent extemporaneous speaker.
The impulse required to set up the motion in liquid of density p i the resultant of an impulsive pressure p4) over the surface S of th ellipsoid, and is therefore ffp4ldS = p4GoffxldS =p 40 (volume of the ellipsoid) =4)oW', (23) where W' denotes the weight of liquid displaced.
Hotheaded and impulsive, he lacked judgment.
It may well be that impulsive feeling is the beginning of mind; but then the order of mind is feeling, sense, inference, will, which instead of first is last, and implies the others.
A distinct step in psychological analysis was taken when Plato recognized that its effect was to produce the " harmony " above mentioned among different parts of the soul, by subordinating the impulsive elements to reason.
Further impulsive pressures are required to restart into motion all the molecules which have undergone collision.
A short impulsive wave travels towards the fence, and each rail as it is reached by the wave becomes the centre of a new secondary wave sent out all round, or at any rate on the front side of the fence.
The impulsive character of the emperor, which led him, with the best intentions and often with excellent effect, to interfere everywhere and in everything and to utter opinions often highly inconvenient to his ministers, was the subject of an interpellation in the Reichstag on the 20th of January 1903 by the Socialist Herr von Vollmar, himself a Bavarian.
(i6) The factors of ~, i~, ~, X, if, v on the right-hand side are proportional to the constituents of a possible infinitesimal displacement of the solid, and the whole expression is proportional (on, the same scale) to the work done by the given system of impulsive forces in such a displacement, As in 9 this must be equal to the total work done in such a displacement by the several forces, whatever they are, which make up the impulse.
In the first place, though in Aristotle's view the most perfect well-being consists in the exercise of man's " divinest part," pure speculative reason, he keeps far from the paradox of putting forward this and nothing else as human good; so far, indeed, that the greater part of his treatise is occupied with an exposition of the inferior good which is realized in practical life when the appetitive or impulsive (semi-rational) element of the soul operates under the due regulation of reason.
Apperception in general thus becomes activity of inner will, constituting the process of attention, passive in the form of impulsive will required for association, and active in the form of decisive will required for understanding and judgment.
This suggested to him a distinction between what he called primary and secondary poets - the first employing poetry to relieve their own hearts, the second, poetic artists, composing poetry from some other and less impulsive motive.
Absalom was now the eldest surviving son of David, and the present position of the narratives (xv.-xx.)- after the birth of Solomon and before the struggle between Solomon and Adonijah - may represent the view that the suspicion that he was not the destined heir of his father's throne excited the impulsive youth to rebellion.
At first the whole proceeding was informal and impulsive enough; but by the 7th century it had grown thoroughly stereotyped and formal.
The body is held fixed, and the reactio of the mechanism and the resultant of the impulsive pressure on th surface are a measure of the impulse, linear,, , and angula A, µ, v, required to start the circulation.
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.
On combining the two parts of the pressure which have been calculated, the aggregate impulsive pressure on dS in time dt is found to be dS ff f v1,1 (h 3 m 3 /7r 3)e h m(u2+v2+w2 >mu2dudvdw, where M denotes summation over all kinds of molecules.
Otto, who is sometimes called the "Red," was a man of small stature, by nature brave and impulsive, and by training an accomplished knight.
In accordance with his previous division of outer will into impulsive and decisive, he divides the inner will of apperception into passive apperception and active apperception.
Q,,) tobe generated instantaneously from rest by the action of suitable impulsive forces, we find on integrating (II) with respect tot over the infinitely short duration of the impulse ~-=Q.
He was grave and gay, affable and dignified, cruel and gentle, mean and generous, eager for fame yet not vain, impulsive and cautious, secretive and open.
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.
Each impinging molecule exerts an impulsive pressure equal to mu on the boundary before the component of velocity of its centre of gravity normal to the boundary is reduced to zero.
He had no great tincture of learning, he was by no means a profound logician, and he was impulsive and emotional in the extreme - characteristics which in political matters predispose the subject to the preference of equality above all political requisites.
Recognizing that he would be indispensable so long as the Thirty Years' War lasted, she used every effort to bring it to an end; and her impulsive interference seriously hampered the diplomacy of the chancellor, and materially reduced the ultimate gains of Sweden.
Wundt's answer is that inner impulsive will, in the form of passive apperception, forms compound ideas by association; so that all these operations are necessary to the starting-point.