Other forms are: d- and l-gulose, prepared from the lactones of the corresponding gulonic acids, which are obtained from d- and /-glucose by oxidation and inversion; d- and l-idose, obtained by inverting with pyridine d- and l-gulonic acids, and reducing the resulting idionic acids; d- and l-galactose, the first being obtained by hydrolysing milk sugar with dilute sulphuric acid, and the second by fermenting inactive galactose (from the reduction of the lactone of d, l-galactonic acid) with yeast; and d- and l-talose obtained by inverting the galactonic acids by pyridine into d- and l-talonic acids and reduction.
Considering the primitive arrangement of the columns as positive, then an arrangement obtained therefrom by a single interchange (inversion, or derangement) of two columns is regarded as negative; and so in general an arrangement is positive or negative according as it is derived from the primitive arrangement by an even or an odd number of interchanges.
It is a curious inversion of terms that in recent years has led to the name Sacramentarians being applied to those who hold a high or extreme view of the efficacy of the sacraments.
In some instances the result has been an additional and unnecessary expenditure of high-pressure steam, and in all the weld-known fact - of the highest importance in this connexion - appears to have been disregarded, that the shorter the time the juice is exposed to heat the less inversion will take place in it, and therefore the less will be the loss of sugar.
Charles's balance areometer is similar to Nicholson's hydrometer, except that the lower basin admits of inversion, thus enabling the instrument to be employed for solids lighter than water, the inverted basin serving the same purpose as the pointed screw in Atkins's modification of the instrument.
The most marked case of such inversion in comparative anatomy is that of Carl Gegenbaur (5826-5903), who in arranging the fins of fishes in support of his theory that the fin of the Australian.
[How the inversion of the nerve-end-cells and their connexion with the nerve-fibres is to be reconciled with the condition found in the adult, or with that of the monostichous eye, has not hitherto been explained.] (From Korschelt and Heider.) The great pericardial sinus is strongly developed in both animals.
The moment the juice is expelled from the cells of the canes chemical inversion commences, and the sooner it is stopped the better.
They would act equally well if the water grew continually warmer as the depth increases, but they cannot give an exact account of a temperature inversion such as is produced when layers of warmer and colder water alternate.
If the later stages of the struggle were remarkable for the vast number of Greek cities engaged on both sides, and for the strange inversion of relations among them on which Thucydides (vii.
In powerfully folded regions the axial planes of the folds are no longer upright; they may be moderately inclined, producing an "inversion," "inverted fold" or "overfold."
As the first integument grows round it, the amount of inversion increases, and the funicle becomes adherent to the side of the nucellus.
All this is to the point with regard to Sumerian, because these very principles of inversion and substitution have been ' Prince, Materials for a Sumerian Lexicon, p. 14.
Cumming shortly afterwards discovered the phenomenon of Thermoelectric Inversion, or the change of the order of the metals in the thermoelectric series at different temperatures.
Whilst he correctly describes the European movement of industry, and explains it as arising out of adequate social causes, he yet, in accordance with the absolute principles which tainted his philosophy, protests against it as in- volving an entire inversion of the "natural order of things."
Others have seen in the ancient Babylonian place-name Gir-su an inversion of Su-gir = Su-ngir, which has also been identified with Shumer.
Deliberate inversion certainly occurs in the Sumerian documents, and it is highly probable that this was a priestly mode of writing, but never of speaking; at any rate, not when the language was in common use.
/-Ribose and d-lyxose are prepared by inversion from l-arabinose and l-xylose; the latter has also been obtained from d-galactose.
Thus a fdrce can be uniquely resolved into two components acting in two assigned directions in the same plane with it by an inversion of the parallelogram construction of fig.
By utilizing the telescope with prism-inversion, devised in 1851 by Ignazio Porro (1795-1875), A.
Clebsch to take the form T= 2p(x12 +x22)+2p'x32 + q (xiyi +x2y2) +q'x3y3 +2r(y12+y22)+2r'y32 so that a fourth integral is given by dy 3 /dt = o, y = constant; dx3 (4 y) (q + y) _ (y y) dt - xl 'x2 xl Y Y x l 2 - 1, y2 () = (x12 +x22) (y12 + y22) = (X 1 2 + X 2) +y22)-(FG-x3y3)2 = (x 1 y32-G2)-(Gx3-Fy3) 2, in which 2 = F 2 -x3 2, x l y l +x2y2 = FG-x3y3, Y(y1 2 +y2 2) = T -p(x12 +x22) -p'x32 -2q(xiyi 'x2y2)- 2 q ' x = (p -p') x 2 + 2 (- q ') x 3 y 3+ m 1, (6) m1 = T 2 i y 3 2 (7) so that dt3) 2 =X3, (8) where X3 is a quartic function of x3, and thus t is given by an elliptic (8) (6) (I) integral of the first kind; and by inversion x 3 is in elliptic function of the time t.