## Differentiating Sentence Examples

- Previously to Hansen's work the only way of
**differentiating**I Hansen found there were three species of spore-bearing Saccharomycetes and that these could be subdivided into varieties. - The vowels play no part in
**differentiating**the roots, for the vowels are practically the same in the corresponding forms of every root. - By his discovery that the attracting force in any direction of a mass upon a particle could be obtained by the direct process of
**differentiating**a single function, Laplace laid the foundations of the mathematical sciences of heat, electricity and magnetism. - 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~. - He was a strong advocate of the groupflashing system as a means of
**differentiating**lights, and invented an arrangement for carrying it into effect optically, his plan being first adopted for the catoptric light of the Royal Sovereign lightship, in the English Channel off Beachy Head. - 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. - Beginning in the bosom of prophecy, and steadily
**differentiating**itself from it in its successive developments, it never came to stand in absolute contrast to it. - But the netsuke, we should still have no difficulty in
**differentiating**the bright versatility of her national genius from the comparatively sombre, mechanic and unimaginatrve temperament of the Chinese. - The resultant electric force E at that point is then obtained by
**differentiating**V, since E = - dV/dx, and E is in the direction in which V diminishes fastest. - The value of the angular coefficient d(pv)/dp is evidently (b - c), which expresses the defect of the actual volume v from the ideal volume Re/p.
**Differentiating**equation (17) at constant pressure to find dv/do, and observing that dcldO= - nc/O, we find by substitution in (is) the following simple expression for the cooling effect do/dp in terms of c and b, Sdo/dp= (n+I)c - b.. - As a preacher, his message was apparently simple; his two great convictions were the fatherhood of God, and that all religious systems which had any stability lasted because of a portion of truth which had to be disentangled from the error
**differentiating**them from. **Differentiating**and equating to zero, the cost is least when dC _ LP +La =o, dl = l2 P=ale=G; that is, when the cost of one pier is equal to the cost erected of the main girders of one span.- In the first place, the reason why the account of prudence begins by confusing the speculative with the practical is that the Eudemian Ethics starts from Plato's Philebus, where, without
**differentiating**speculative and practical knowledge, Plato asks how far good is prudence (cbpovoacs), how far pleasure (7)Sovi 7); and in the Eudemian Ethics Aristotle asks the same question, adding virtue (ap€r,) in order to correct the Socratic confusion of virtue with prudence. - Thus even God is a substance, a separate individual, whose
**differentiating**essence is to be a living being, eternal and very good; He is however the only substance whose essence is entirely without matter and unconjoined with matter; and therefore He is a substance, not because He has or is a substratum beneath attributes, but wholly because He is a separate individual, different both from nature and men, yet the final good of the whole universe. - But, though according to the phraseology of the time he was a sophist, he was not a typical sophist - his principle that, while scientific truth is unattainable by man, right opinion is the only basis of right action, clearly
**differentiating**him from all the other professors of " virtue." - The Specific Heat Itself Can Be Deduced Only By
**Differentiating**The Curve Of Observation, Which Greatly Increases The Uncertainty. **Differentiating**(ii) we find that, if dx/da=o, ~tanh~=i.- 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. - 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). **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...- The cultural as well as the microscopical characters of a pathogenic organism may be closely similar to other non-pathogenic members of the same group, and it thus comes to be a matter of extreme difficulty in certain cases to state what criterion should be used in
**differentiating**varieties. - Such a serum may accordingly within certain limits be used for
**differentiating**this organism from others closely allied to it (vide infra). - This will is expressed in records; and, as the state progresses from infancy through the stage of tutelage under the church to its modern, omnicompetence, so its will is expressed in an ever widening and
**differentiating**series of records. - The tracing of this history, and the explanation of the general characters of Echinoderms and of the
**differentiating**features of the classes in accordance therewith, constitutes the Pelmatozoic theory. - It was clear, therefore, that in its very nature, house-to-house visitation was both wasteful and insufficient, and it remained for Liverpool to correct the difficulty by the application, in 1873, of the "
**Differentiating**waste water meter," which has since been extensively used for the same purpose in various countries. - In well-equipped waterworks each house service pipe is controlled by a stop-cock accessible from the footpath to the officials of the water authority, and the process of waste detection by this method depends upon the manipulation of such stop-cocks in conjunction with the
**differentiating**meter. - Until greater knowledge of protoplasm and particularly of proteid has been acquired, there is no scientific room for the suggestion that there is a mysterious factor
**differentiating**living matter from other matter and life from other activities. - The great puzzle connected with the name Geber lies in the character of the writings attributed to him, their style and matter
**differentiating**them strongly from those of even the best authors of the later alchemical period, and making it difficult to account for their existence at all.