Undetermined species are relegated to the end of the genus.
1.53-85, with 3 maps and 3 plates; bibliography, p. 85), which shows that the axis of the territory is a high range, composed of slates and schists of undetermined age, with intrusive plutonic rocks.
The extent of the submergence and the area over which the Palaeozoic strata were deposited are unknown; for in consequence of renewed elevation without deformation, erosion in later periods has stripped off an undetermined amount of the covering strata.
Accordingly Ga Cg T Z I M A 1 Vat Since X Is Undetermined, All That We Can Conclude Is That M Is Of The Form M= Tax(Q 2?, (I) Where F Denotes An Arbitrary Function.
(6) The mountain Tatars (about 850,000), divided into many tribes and of an origin still undetermined, are scattered throughout the provinces of Baku, Erivan, Tiflis, Kutais, Daghestan, and partly also of Batum.
And there is much that is anticipatory of modern libertarian views in the psychological argument by which Carneades attempted at once to avoid the Epicurean identification of will with chance, and to prove the rationality of choice, undetermined by any external or antecedent necessity, as an explanation of human actions Xxviii.
Geologically considered, the country may be divided into three regions - a central, and the largest, comprising the whole width of the Aravalli system, formed of very old sub-metamorphic and gneissic rocks; an eastern region, with sharply defined boundary, along which the most ancient formations are abruptly replaced by the great basin of the Vindhyan strata, or are overlaid by the still more extensive spread of the Deccan trap, forming the plateau of Malwa; and a western region, of very ill-defined margin, in which, besides some rocks of undetermined age, it is more or less known or suspected that Tertiary and Secondary strata stretch across from Sind, beneath the sands of the desert, towards the flanks of the Aravallis.
Hilly plateaus are still in the same geological phase, and are dotted with numberless lakes and ponds, while the rivers continue to dig out their yet undetermined channels.
At the commencement, he says, " all was dark and doubtful "; the limits, divisions, even the title of his work were undetermined; the first chapter was composed three times, and the second and third twice, before he was satisfied with his efforts.
In this list, while certain occurrences in rocks of undetermined age in little-known regions have been omitted, many of those included are of merely academic interest, and a still larger number indicate fields supplying at present only local needs.
Formulae which merely express the relative number of atoms of the different elements present in a compound are termed empirical formulae, and the formulae of all compounds whose molecular weights are undetermined are necessarily empirical.
Consider an incomplete proposition, incomplete in the sense that some entity which ought to be involved in it is represented by an undetermined x, which may stand for any entity.
Call it a propositional function; and, if 4)x be a propositional function, the undetermined variable x is the argument.
This is really an accretion of undetermined liabilities which has been indefinitely, and probably alternately, advancing and receding for a great number of years, and which no previous minister of finance, or Turkish government, had the courage to face.
Plankton Expedition, ii., 1897) has described, a few larval brachiopods of undetermined genera, two of which at least were pelagic, or at any rate taken far from the coast.
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.
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.
And it is significant that this primacy of the undetermined will (voluntas superior intellectu) was the central contention of the Scotists against the Thomist doctrine.
If, moreover, we examine the process of algebraical division as illustrated in ï¿½ 50, we shall find that, just as arithmetical division is really the solution of an equation (ï¿½ 14), and involves the tacit use of a symbol to denote an unknown quantity or number, so algebraical division by a multinomial really implies the use of undetermined coefficients (ï¿½ 42).
It seems quite evident that the city of Assur was originally founded by Semites from Babylonia at quite an early, but as yet undetermined date.
His pages abound in symbols representing unknown functions, the form of the function being left to be ascertained by observation of facts, which he does not regard as a part of his task, or only some known properties of the undetermined function being used as bases for deduction.
On the south the boundary of the Tunisian Sahara is undetermined, but it may be roughly placed at 31° N.
The Cretan inscriptions belong to a far older epoch, and are written in two non-Grecian scripts of undetermined affinities.
On the north the frontier of the protectorate is an undetermined line running between Lado (which lies a little north of 5° N.) on the Mountain Nile and the watershed of Lake Rudolf.
Its south-eastern frontier on the Pamirs is undetermined except where it touches the Russian dominions.
He leaves it undetermined whether or not our knowledge of sense things, which is never entirely presentative, involves some reference to this objective course of nature or thought of the divine mind.
Owing to the enormous volume and unsystematic character of the Bali scriptures, and the absence of anything resembling church councils, the doctrine on many important points (such as the future life) is undetermined and vague.
To explain the universe Spinoza proceeds to argue that God, though undetermined ab extra, is capable of infinite self-determination.
The abundance and variety of Palaeozoic seeds, still so often of undetermined nature, indicate the vast extent of the spermophytic flora of that period.
The date of the exodus from Aztlan is equally undetermined, being fixed by various authorities in the 11th and by others in the 12th century.
The legal position of protectorates is still somewhat undetermined; there are an old view and also a new view of their nature.
Its sources are still undetermined, but there seems little doubt that it rises in the Tanla mountains, S.
He brings against Bacon, of all men, the accusations of making induction start from the undetermined perceptions of the senses, of using imagination, and of putting a quite arbitrary interpretation on phenomena.
Holding office by sufferance of Gambetta, he halted in an undetermined attitude between the radicals and the reactionaries till the delay of urgent reforms lost him the support of all parties.
Both sides concur in the position assumed by Darwin, that the word "chance" in such a phrase as "chance variation" does not mean that the occurrences are independent of natural causation and so far undetermined, but covers in the first place our ignorance of the exact causation.
This is the method of undetermined coefficients.