# Exp Sentence Examples

- 173; National Antarctic
**Exp**., Nat. **Exp**. Fund Publications - Sir C. Warren, Jerusalem, Memoir (1884); Clermont-Ganneau, Archaeol.**Exp**., 1878.- 198; Du Moncel,
**Exp**. de l'Elect., ii. **Exp**.) reveals his many-sided intellectual interests and ready sympathies.**Exp**. Gen.**Exp**.sec. From Newton's by permission of A.**Exp**. et gen.**Exp**. to Syria (1904).- =
**exp**,udl where**exp**denotes (by the rule over**exp**) that the multiplication of operators is symbolic as in Taylor's theorem. - 1890, p. 490) that
**exp**(mldl +m2d2+m3d3+...) =**exp**(Midi +M2d2+M3d3+...), where now the multiplications on the dexter denote successive operations, provided that pp t**exp**(MiE+M2 2+M3E3+...) +mlH+m2V+m3S3+..., being an undetermined algebraic quantity. - Hence we derive the particular cases 1 1
**expel**' =**exp**(d1 -2d2+5d3 - ...);**exp**/ld 1 =**exp**(Ad1p2d2 +/13d3 - ...), and we can**express**D. - =
**exp**{(siox+Solt') - s20 x 2+ 2siixy+S02y2)+ï¿½ï¿½ï¿½}, and thence derive the formula? - From the above D p4 is an operator of order pq, but it is convenient for some purposes to obtain its
**expression**in the form of a number of terms, each of which denotes pq successive linear operations: to accomplish this write d ars and note the general result**exp**(mlodlo+moldol +... - Where the multiplications on the leftand right-hand sides of the equation are symbolic and unsymbolic respectively, provided that m P4, M P4 are quantities which satisfy the relation
**exp**(M14+Moir+...+Mp4EpnP+...) =1+mic -Fmoif+...+mp,eng+...; where E, n are undetermined algebraic quantities. - 4 Faraday,
**Exp**. Res. - Faraday,
**Exp**. Res. - 3
**Exp**. Res., iii. - The best modern determinations of the value of K for gaseous oxygen agree very fairly well with that given by Faraday in 18J3 (
**Exp**. Res. - Throughout his researches Faraday paid special regard to the medium as the true seat of magnetic action, being to a large extent guided by his pregnant conception of " lines of force," or of induction, which he considered to be " closed curves passing in one part of the course through, the magnet to which they belong, and in the other part through space," always tending to shorten themselves, and repelling one another when they were side by side (
**Exp**. Res. - Above and below this sea, from Borsippa to Kufa, extend the famous Chaldaean marshes, where Alexander was nearly lost (Arrian,
**Exp**. Al. **Exp**. (2) (1891), ix.**Exp**. Fund, 1904, pp. 58-64, and the Builder, Feb.- Schlomilch defines these functions as the coefficients of the power of t in the
**expansion**of**exp**2p(t - t1). - The
**exponential**function,**exp**x, may be defined as the inverse of the logarithm: thus x =**exp**y if y= log x. - As y tends towards co,
**exp**y tends towards co more rapidly than any power of y. - The
**exponential**function possesses the properties (i.)**exp**(x+y) =**exp**x X**exp**y. - D x
**exp**x =**exp**x. - (iii.)
**exp**x = I -f-x+x 2 /2 ! - From (i.) and (ii.) it may be deduced that
**exp**x= (I ! - Also
**exp**(E+in) =e (cos 7 7 +i sin 7,). - An alternative method of developing the theory of the
**exponential**function is to start from the definition**exp**x = I +x+x2/2 ! **Exp**. Fund, Memoirs, iii.**Exp**.), but also from unmistakable hints in the account of the life and work of his author prefixed to the translation on its appearance.**Exp**. ii.- Plankt.-
**Exp**. ii. - 544) that an intelligible theory can be given which leads to the form j(OX) = c i /{
**exp**(c 2 /A9) - I }, a form which agrees in a satisfactory way with all the**experi**ments. - Hansen (Die Cirripedien der Plankton-
**Exp**., 1899, p. 53) argues that various nauplii of a type not previously described may probably be referred to this group or family.