Quantitative methods are divided into four groups, which we now pass on to consider in the following sequence: (a) gravimetric, (0) volumetric, (7) electrolytic, (5) colorimetric.
The sequence formed by taking successive sums of a series) which have to be considered in respect of their convergence or non-convergence.
In most cases this is not possible; and we have first to consider the convergence of the sequence or of the series which it represents, and then to determine its limit by indirect methods.
The essence of the fatalistic doctrine is that it assigns no place at all to the initiative of the individual, or to rational sequence of events.
No fact contains in itself the ground of any other; the existence of the facts is due to God, their sequence and coexistence are also due to him.
To enable the reader to compare the several groups of Nitzsch with the families of L'Herminier, the numbers applied by the latter to his families are suffixed in square brackets to the names of the former; and, disregarding the order of sequence, which is here immaterial, the essential correspondence of the two systems is worthy of all attention, for it obviously means that these two investigators, starting from different points, must have been on the right track, when they so often coincided as to the limits of what they considered to be, and what we are now almost justified in calling, natural groups.'
Excavations carried out by the marquess of Bute from 188 9 onward furnished for the first time conclusive proof that Cardiff had been a Roman station, and also revealed the sequence of changes which it had subsequently undergone.
Thus a universal science of matter and motion was derived, by an unbroken sequence of deduction, from one radical principle; and analytical mechanics assumed the clear and complete form of logical perfection which it now wears.
Another kind of sequence is that which is formed by introducing the successive factors of a continued product; e.g.
"The only thing is, we mustn't have children too soon," he continued, following an unconscious sequence of ideas.
Dean, in turn, began trying to remember the time sequence in his own mind.
Gold is found throughout Australia, and the present prosperity of the states is largely due to the discoveries of this metal, the development of other industries being, in a country of varied resources, a natural sequence to the acquisition of mineral treasure.
Such a sequence of decreasing electric oscillations and corresponding set of waves is called a damped train.
Though perfectly free from any trace of envy or ill-will, he yet showed on fit occasion his contempt for that pseudo-science which seeks for the applause of the ignorant by professing to reduce the whole system of the universe to a fortuitous sequence of uncaused events.
Thus the body cavity is divided into a sequence of chambers by transverse septa; and even among the Hirudinea, Spadella cephaloptera (Busch).
Moreover, as Professor Burmeister states in his preface, Nitzsch by no means regarded the natural sequence of groups as the highest problem of the systematist, but rather their correct limitation.
In this scheme birds are arranged according to what the author considered to be their natural method and sequence; but the result exhibits some unions as ill-assorted as can well be met with in the whole range of tentative arrangements of the class, together with some very unjustifiable divorces.
One case of convergence of a sequence has already been considered in ï¿½ 58 (i.).
Very briefly stated, his method consists in sending out a group of wave trains at certain irregular but assigned intervals of time to constitute the simplest signal equivalent to a dot in the Morse code, and a sequence of such trains, say three following one another, to constitute the dash on the Morse code.
But that contrast is traditional; and it is implied in the ordinary theological usage of such phrases as " natural theology " or " natural religion " and almost of " theism."] Comparative religion, or, as some call it, history of religion, is yet another modern study, closely akin to the last discussed,, although more strictly confined to registering the Compara- sequence of religious phenomena and less disposed towards criticizing religions or towards ranking them in an order of merit.
Conceived in the Hildebrandine spirit, his reforms led by a natural sequence to strained relations between Church and State; the equilibrium which he established was unstable, and depended too much upon his personal influence with the Conqueror.
Fibonacci's series is a sequence of numbers such that any term is the sum of the two preceding terms; also known as Lame series.
We have a sequence So, Si, S2, ...
This is expressed by saying that the sequence converges to (x+h)" as its limit; it may be stated concisely in any of the three ways, (x+h) n =lim(x"+n(1)xn-lh+....+ n(T)xn-rhr+ï¿½ï¿½.),(x+h)n =lim Sr, Sr. (x+h)n.
A desultory sequence of ideas, an excessive vagueness and indirectness of expression, a peculiar and abnormal latinity, a constant tendency to exaggeration, and an immoderate indulgence in learned and literary allusions - all these are obstacles lying in the way of a study of Propertius.
The best Silurian sequence is in New South Wales.
Moreover, Schopenhauer's subjective idealism, and his view of time as something illusory, hindered him from viewing this process as a sequence of events in time.
Equally disastrous are those climatic or seasonal changes which involve temperatures in themselves not excessive but in wrong sequence; how many more useful plants could be grown in the open in the United Kingdom if the deceptively mild springs were not so often followed by frosts in May and June!
It will be seen that as each successive aspect of geographical science is considered in its natural sequence the conditions become 2 For numerous special instances of the determining causes of town sites, see G.
Thing of a twelve-years' governorship and of a second visit, but the evidence does not enable us to determine the sequence (xiii.
Next, since there are three distinct sources, for (a) above, and for the work of Nehemiah and of Ezra, implicit reliance cannot be placed upon the present sequence of narratives.
Next in upward sequence is a thick mass of sandstones, grits and shales - the Millstone Grit series.