The soldiers were ascending the hill breathing heavily, and despite the general's presence were talking loudly and gesticulating.
Rather than join them, she paced the hall before following it to its end and ascending to the roof.
Being in ascending powers of a.
In all these cases it is a nice question whether we are tracing an ascending or descending stream.
In the ascending stream may be mentionedLarrea, a small genus of Zygophylleae with headquarters in Paraguay and Chile, of which one species, L.
In earlier life he was a notable mountain-climber, ascending Mount Ararat in 1876, and publishing a volume on Transcaucasia and Ararat in 1877; in1899-1901he was president of the Alpine Club.
But the desire to obtain general enunciations of theorems without exceptional cases has led mathematicians to employ entities of ever-ascending types of elaboration.
In his youth and early manhood there was no prospect of his ascending the Danish throne, and he consequently became the instrument of his father's schemes of aggrandizement in Germany.
To Ulban Bay in the Sea of Okhotsk (close :by the Shantar Islands), its peaks clothed from top to bottom with luxuriant forest vegetation, ascending 4500 to 6000 ft.
It is shown in the article on Combinatorial Analysis that (w; 0,n) is the coefficient of a e z w in the ascending expansion of the fraction 1-a.
A notable feature in both classes of curves is that, owing to hysteresis, the ascending and descending limbs do not coincide, but follow very different courses.
Between the two and at the highest point of the arc, so far as morphological differentiation is concerned, stands the scorpion; near to it in the trilobite's direction (that is, on the ascending side) are Limulus and the Eurypterines - with a long gap, due to obliteration of the record, separating them from the trilobite.
The strange nobody-crabs or Pycnogonids occupy a place on the ascending half of the arc below the Eurypterines and Limulus.
(1792-1835) received a declaration of war from the French Legislative Assembly immediately on ascending the throne.
(iv.) When the terms of a multinoniial contain various powers of x, and we are specially concerned with x, the terms are usually arranged in descending (or ascending) order of the indices; terms which contain the same power being grouped so as to give a single coefficient.
The multinomial which is equivalent to (A= a)", and has its terms arranged in ascending powers of a, is called the expansion of (A= a) n.
Algebraical division therefore has no definite meaning unless dividend and divisor are rational integral functions of some expression such as x which we regard as the root of the notation (ï¿½ 28 (iv.)), and are arranged in descending or ascending powers of x.
It abolished the conception of life s an entity above and beyond the common properties of matter, and led to the conviction that the marvellous and exceptional qualities of that which we call " living " matter are nothing more nor less than an exceptionally complicated development of those chemical and physical properties which we recognize in a gradually ascending scale of evolution in the carbon compounds, containing nitrogen as well as oxygen, sulphur and hydrogen as constituent atoms of their enormous molecules.
The species of Linnaeus were supposed to represent a series of steps in a scale of ascending complexity, and it was thought possible thus to arrange the animal kingdom in a single series - the orders within the classes succeeding one another in regular gradation, and the classes succeeding one another in a similar rectilinear progression.
Thus, if x = R cos 4), C =,r2R2J1(pR) pR and the illumination at distance r from the focal point is 4T2 r 21rRr1 fX (2 fKr) a J The ascending series for J 1 (z), used by Sir G.
Ascending series for C and S were given by K.
The difficulty of ascending the rapids near Bingen is usually surmounted by the help of steam hauling machinery placed on the bank, though powerful tugs have also come into use for this purpose.
He seems to have found a pleasure, more congenial to the modern than to the ancient temperament, in ascending mountains or wandering among their solitudes (vi.
Divided into three or four stopes at varying heights above the main level, the lowest being known as the cutting-out stope, the others as the first and second back stopes in ascending order.
Meantime, the men quitting work are ascending in a similar way, as there is room on each platform for two men at a time when passing each other.
It rarely attacks man, and when pursued escapes if possible by ascending trees.
With uniform temperature, taking h constant in the gas-equation, dp / dz= =p / k, p=poet/ k, (9) so that in ascending in the atmosphere of thermal equilibrium the pressure and density diminish at compound discount, and for pressures p 1 and 1, 2 at heights z 1 and z2 (z1-z2)11?
After narrating the pardon obtained by Adam, it is said that the Son ascending from Olivet prays the Father on behalf of His apostles; who consequently receive consecration from the Father, together with the Son and Holy Spirit - Peter being made archbishop of the universe.
By the mode of admission the hot liquor at its entry is distributed over a large area relatively to its volume, and while this is necessarily effected with but little disturbance to the contents of the vessel, a very slow velocity is ensured for the current of ascending juice.
The famous Teatro Olimpico was begun by him, but only finished after his death; it is a remarkable attempt to construct a theatre in the ancient style, and the stage, with the representation of streets ascending at the back, is curious.
When ascending that knoll Pierre had no notion that this spot, on which small trenches had been dug and from which a few guns were firing, was the most important point of the battle.
While a shift of men is being lowered the miners of the preceding shift are usually raised to the surface in the ascending cages, the entire shift being thus changed in the time required for lowering.
17, contains examples of ascending induction curves characteristic of wrought iron, cast iron, cobalt and nickel.
We will choose from the forms in such manner that the product of letters A is either a power of A i, or does not contain A i; this rule leaves us with A2B 1 B 2 and A 2 B,Bs; of these forms we will choose that one which in letters B is earliest in ascending dictionary order; this is A2B 1 B 21 and our earliest perpetuant is (22)a(21)b - (221)a(2)b, and thence the general form enumerated by the generating function Z7 is (1-z)(1 - z2)2 (2 A2+2) a (2ï¿½2 +1 1ï¿½1 +1) b - (2 A2+2 1)a (2 M2+1 1, ai)b ...
Through these Rocky Mountains the explorers and furtraders, by ascending the streams running down the eastern declivities of the mountains, and crossing by short portages to the streams of the western slope, have succeeded in discovering passes by which the mountain chain can be crossed, the range rarely exceeding 60 m.
The desired effect may be produced by a graduation of the same colour, or by a polychromatic scale - such as white, pale red, pale brown, various shades of green, violet and purple, in ascending order.
Green to brown, in ascending order for the land; blue, indigo and violet for the sea, increasing in intensity with the height or the depth.
At one of the nodes, say N, the body passes from the south to the north side of the fundamental plane; this is called the ascending node.
A fifth element is the position of the pericentre, which may be expressed by its angular distance XFN from the ascending node.
Of the Clupeidae, or herrings, numerous forms occur in Asiatic waters, ascending the rivers many hundred miles; one of the best-known of Indian fishes, the hilsa, is of this family.
The species C. torulosa of North India, so called from its twisted bark, attains an altitude of 150 ft.; its branches are erect or ascending, and grow so as to form a perfect cone.
When an engineer has to construct a railway up a hill having a still steeper slope, he must secure practicable gradients by laying out the line in ascending spirals, if necessary tunnelling into the hill, as on the St Gothard railway, or in a series of zigzags, or he must resort to a rack or a cable railway.