## Bounding Sentence Examples

- The data are then either the
**bounding**ordinates uo, ui, ... - "Yully, gods, can't you tell me what's going on?" he demanded,
**bounding**up the stairs. - (a) The nature of the
**bounding**curve or surface may not be exactly known, so that certain assumptions have to be made, a formula being then used which is adapted to these assumptions. - The top is then a parabola whose axis is at right angles to the base; and the area can therefore (§ 34) be expressed in terms of the two
**bounding**ordinates and the midordinate. - This means that, if the minor trapezette consists of k strips, v will be of degree k or k - I in x, according as the data are the
**bounding**ordinates or the mid-ordinates. - The area of the trapezette, measured from the lower
**bounding**ordinate up to the ordinate corresponding to any value of x, is some function of x. - There are two classes of cases, according as m is even or odd; it will be convenient to consider them first for those cases in which the data are the
**bounding**ordinates of the strips. - (i) Suppose that the
**bounding**ordinates are given, and that m is a multiple of 2. - The Muilrea and Ben Gorm range,
**bounding**the fine fjord of Killary Harbour, is formed of terraced Silurian rocks, from Bala to Ludlow age. - - The wall
**bounding**the Altis on the west belongs probably to the time of Nero. - Fourier defined another constant expressing the rate of loss of heat at a
**bounding**surface per degree of difference of temperature between the surface of the body and its surroundings. - Straths are broad expanses of low ground between
**bounding**hills and are usually traversed by one main stream and its tributaries - e.g. - The explanation of the apparent
**bounding**of Christianity by Europe and its offspring is not, however, to be found in any psychological peculiarity separating the European races from those of other continents, nor in any special characteristic of Christianity which fits it for European soil. - It is found by experiment that it is only very close to the
**bounding**surface of a liquid that the forces arising from the mutual action of its parts have any resultant effect on one of its particles. - If x denotes the potential energy of unit of mass of the substance, we may treat x as sensibly constant except within a distance e of the
**bounding**surface of the fluid. - In like manner the density, p, is sensibly equal to the constant quantity po, which is its value in the interior of the liquid, except within a distance e of the
**bounding**surface. - It is impossible to make direct measurements of the properties of particles of the substance within the insensible distance e of the
**bounding**surface. - "Gabriel!" he exclaimed,
**bounding**to his cell door. - If F (x, y, z, t) =o represents the equation of a always the same particles of fluid, DF =o, or dF {-u dx-rzd { w d d = o, Trt y _ which is called the differential equation of the
**bounding**surface. - A vortex filament must close on itself, or end on a
**bounding**surface, as seen when the tip of a spoon is drawn through the surface of water. - 2 Consider then an ellipsoidal shell the axes of whose
**bounding**surfaces are (a, b, c) and (a+da), (b+db), (c+dc), where da/a =db b =dc/c =,u. - The soft shales or clays of the hills
**bounding**the valley render these hills especially subject to the action of denudation, and the result, in rounded slopes and easily accessible crests, determines the nature of the easy tracks and passes which intersect them. - Monte Matto, hence the modern name Trello Vouni), a mountain in Attica,
**bounding**the Athenian plain on the S.E. - The sides of the trapezette are the "
**bounding**ordinates "; their abscissae being xo and xo+H, where H is the breadth of the trapezette. - (b) - 49(a), where 4)(x) is any function of x, by [c P(x)]; the area of the trapezette whose
**bounding**ordinates are uo and u m may then be denoted by [Ax. - If the area of the cross-section, in every position, is known in terms of its distance from one of the
**bounding**planes, or from a fixed plane A parallel to them, the volume of the solid can be expressed in terms of the area of a trapezette. - In cases other than those described in § 82, the pth moment with regard to the axis of u is given by Pp = XPrA where A is the total area of the original trapezette, and S 2 _ 1 is the area of a trapezette whose ordinates at successive distances h, beginning and ending with the
**bounding**ordinates, are o, x1P -1A, x2 P-1 (AI+AI),. - Lepidus outside which again is a wall,
**bounding**the sacred enclosure. - The first of these extended from the Pyrenees to the Garumna (Garonne); the second, from that river to the Sequana (Seine) and its chief tributary the Matrona (Marne), reaching eastward presumably as far as the Rhenus (Rhine); and the third, from this
**bounding**Iline to the mouth of the last-named river, thus bordering on the Germans. - - This tribe is distinguished from the Malacoderma and allied groups by the mesothoracic epimera not
**bounding**the coxal cavities of the intermediate legs. - The portion of Asia which lies between the Arctic Ocean and the mountainous belt
**bounding**Manchuria, Mongolia and Turkestan Siberia. - Hence, for the case of a parabola, we can express the area in terms of the
**bounding**ordinates of two strips, but, if we use mid-ordinates, we require three strips; so that, in each case, three ordinates are required. - It follows that, by taking two ordinates in a certain position with regard to the
**bounding**ordinates, the area of any parabolic trapezette whose top passes through their extremities can be expressed in terms of these ordinates and of the breadth of the trapezette. - Suppose, for instance, that m=6, and that we consider the trapezette as a whole; the data being the
**bounding**ordinates. - The Euler-Maclaurin formula (§ 75) assumes that the
**bounding**values of u', u"',.. - The spot where the path
**bounding**his arable met that of another holding; and thence found his way into the house. - The conception of an encompassing ocean
**bounding**the habitable world is found in the creation myths of the most ancient civilizations. - A
**bounding**surface is such that there is no flow of fluid across it, as expressed by equation (6). - But turbulence in the motion will vitiate the principle that a
**bounding**surface will always consist of the same fluid particles, as we see on the surface of turbulent water.