Cross-section Sentence Examples

A third reflecting plate is sometimes employed, the cross-section of the three forming an equilateral triangle.

Pieces of very small cross section, like wire, are more conveniently made by drawing through a die than by rolling, essentially because a single draft reduces the cross section of a wire much more than a single pass between rolls can.

From the smallest cross-section of a DNA molecule to the proportion between your height and the distance between your navel and your foot, the Golden Ratio in humans may be the design template of the body.

These are common in Europe, and are sometimes employed in the United States and elsewhere in mines where the output is large and the shafts deep and of small cross section.

In the haplostelic ferns the leaf-trace appears as a single strand with a tendency to assume the shape of a horseshoe on cross-section, and this type is also found in the more primitive solenostelic types.

The same would be the case if the magnetization of the filament varied inversely as the area of its cross-section a in different parts.

Suppose the whole space in which induction exists to be divided up into unit tubes, such that the surface integral of the induction over any cross-section of a tube is equal to unity, and along the axis of each tube let a line of induction be drawn.

A frame of wood or steel, erected at the shaft mouth, and rarely employed except for deep shafts of small cross-section or when the mine cars (tubs) are small, as in many parts of Europe.

Take any two arbitrary directions in the plane of the paper, and draw a small isosceles triangle abc, whose sides are perpendicular to the two directions, and consider the equilibrium of a small triangular prism of fluid, of which the triangle is the cross section.

In this case the thrust at the lower end B must exceed the thrust at A, the upper end, by the weight of the prism of liquid; so that, denoting the cross section of the prism by a ft.

The polar equation of the cross-section being rI cos 19 =al, or r + x = 2a, (3) the conditions are satisfied by = Ur sin g -2Uairi sin IB = 2Uri sin 10(14 cos 18a'), (4) 1J/ =2Uairi sin IO = -U1/ [2a(r-x)], (5) w =-2Uaiz1, (6) and the resistance of the liquid is 2lrpaV2/2g.

Projected perpendicularly against a plane boundary, the motion is determined by an equal opposite vortex ring, the optical image; the vortex ring spreads out and moves more slowly as it approaches the wall; at the same time the molecular rotation, inversely as the cross-section of the vortex, is seen to increase.

The circulation being always zero round a small plane curve passing through the axis of spin in vortical motion, it follows conversely that a vortex filament is composed always of the same fluid particles; and since the circulation round a cross-section of a vortex filament is constant, not changing with the time, it follows from the previous kinematical theorem that aw is constant for all time, and the same for every cross-section of the vortex filament.

Denoting the cross-section a of a filament by dS and its mass by dm, the quantity wdS/dm is called the vorticity; this is the same at all points of a filament, and it does not change during the motion; and the vorticity is given by w cos edS/dm, if dS is the oblique section of which the normal makes an angle e with the filament, while the aggregate vorticity of a mass M inside a surface S is M - l fw cos edS.

Volume =height X area of end =length of edge X area of cross-section; the " height " being the perpendicular distance between the two ends.

The corresponding solid figure, in its most general form, is such as would be constructed to represent the relation of a magnitude E to two magnitudes F and G of which it is a function; it would stand on a plane base, and be comprised within a cylindrical boundary whose cross-section might be of any shape.

The section by any intermediate parallel plane will be called a " cross-section."

The solid may then be regarded as generated by the cross-section moving parallel to itself and changing its shape, or its position with regard.

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.

The volume comprised between the cross-section whose area is S and a consecutive cross-section at distance 0 from it is ultimately SO, when B is indefinitely small; and the area between the corresponding ordinates of the trapezette is (S/1).

It follows from §§ 48 and 51 that, if V is a solid figure extending from a plane K to a parallel plane L, and if the area of every cross-section parallel to these planes is a quadratic function of the distance of the section from a fixed plane parallel to them, Simpson's formula may be applied to find the volume of the solid.

In the case, therefore, of any solid whose cross-section at distance x from one end is a quadratic function of x, the position of the crosssection through the centroid is to be found by determining the position of the centre of gravity of particles of masses proportional to So, S2, and 4S 1, placed at the extremities and the middle of a line drawn from one end of the solid to the other.

Subject to a limitation which we shall examine later, the velocity of a longitudinal disturbance along a wire or rod depends only on the material of the rod, and not upon the cross-section.

At B there is only the latter kind, and since the transfer of matter is powoU, where po is the undisturbed density and wo is the undisturbed cross-section, since its velocity is U the passage of momentum per second is powoUo 2.

If p is the density at A, and w the cross-section, then the momentum carried past A is pc,(U - u) 2.

This investigation is subject to the limitation that the diameter of the cross-section must be small compared with the wave-length.

The frame as a whole may be subject to a bending moment, but each member is simply extended or compressed so that the total stress on a given member is the same at all its cross sections, while the intensity of stress is uniform for all the parts of any one cross section.

The conditions under which it is impracticable are (I) when the piece has either an extremely large or an extremely small cross section, and (2) when its cross section varies materially in different parts of its length.

Pieces which vary materially in cross section from point to point in their length cannot well be made by rolling, because the cross section of the piece as it emerges from the rolls is necessarily that of the aperture between the rolls from which it is emerging, and this aperture is naturally of constant size because the rolls are cylindrical.

Of course, by making the rolls eccentric, and by varying, the depth and shape of the different parts of a given groove cut in their surface, the cross section of the piece made in this groove may vary somewhat from point to point.

But this and other methods of varying the cross section have been used but little, and they do not seem capable of wide application.

The " rate of transmission of heat " is here understood to mean the quantity of heat transferred in unit time through unit area of cross-section of the substance, the unit area being taken perpendicular to the lines of flow.

The heat per second gained by conduction by an element dx of the bar, of conductivity k and cross section q, at a point where the gradient is dB/dx, may be written gk(d 2 6/dx 2)dx.

Glass rods were piled together to form a pattern in cross-section.

Finally, we may refer to the catenary of uniform strength, where the cross-section of the wire (or cable) is supposed to vary as the tension.

Teeth of Bevel- Wheels.The acting surfaces of the teeth of bevel-wheels are of the conical kind, generated by the motion of a line passing through the common apex of the pitch-cones, while its extremity is carried round the outlines of the cross section of the teeth made by a sphere described about that apex.

The mesenteries are provided with well-developed longitudinal retractor muscles, supported on longitudinal folds or plaits of the mesogloea, so that in cross-section they have a branched appearance.

The arms are elliptical in cross-section, diminishing from the nave to the rim, and are usually designed as equally loaded cantilevers, fixed at the nave and free at the rim.

In the jointed or spelt wheats the distinctions lie in the presence of awns, the direction of the points of the glumes (straight, bent outwards, or turned inwards), the form of the ear as revealed on a cross-section, and the entire or cleft palea.

We saw enthusiasm engendered in a wide cross section of pupils.

A I have a large cross section of abilities and interests on the courses from complete beginners to advanced amateurs.

The effects of the area ratio, the divergence angle and the cross-section aspect ratio are taken into account.

The stream flows away to the left in a passage of roughly circular cross-section, having many gritstone boulders on the floor.

The tunnels of buprestid larvae can be distinguished from those of cerambycid larvae as the buprestid larvae can be distinguished from those of cerambycid larvae as the buprestid tunnels are more flattened in cross section.

Furthermore, we have a unmatched cross section of Arabic translators from across the world.

The disks were then played back in a broad cross section of DVD players, recorders and DVD-ROM drives from all leading brands.

Music is now a major strength of the school, in terms of the enthusiasm engendered in a wide cross section of pupils.

Detroit had the best cross section of music, different cultures, etc. The Uptight album showed a more personal side of Stevie.

Rides galore, to suit a cross-section of ages from funfair style dodgems and slides to an under fives fantasty farm area.

The better known Bourdon gage works by allowing the pressure into a curved tube, itself of a slightly elliptical cross section.

Exhaust lines must be vented to a fume hood by tubing of large enough cross section not to cause obstruction.

One contribution to the DIS g * p total cross section is the electroproduction of low mass vector mesons.

At lower energies the color singlet exchange of virtual mesons, called reggeons, contribute to the fall of the cross-section with increasing energy.

Fiber optic devices for cross section converters The complete range of fiber optics can be connected to amplifiers with analog outputs.

Gouge A cutting tool with a ' U ' shaped cross-section used with the bevel rubbing.

A diagram of a cross section of the solid is shown in Fig 9.4.

However are not march cross-section snapshot population with less retention of eligible.

The cross section is calculated by partial wave summation.

Filet weld a fusion weld, other than a butt, edge or fusion spot weld, which is approximately triangular in transverse cross-section.

The passage became tubular in cross section with a diameter of about 1.75m just before we reached the limit of previous exploration.

Size of interviews interest whether insurance cross-section variation adjusted either way the.

With these goals in mind, we have designed a new type of capillary discharge waveguide with a square cross-section.

Comb of Type 4, with deeply curved cross-section; much weathered and unornamented length 136 mm.

The cross-section is evaluated in region II as a function of x for x jet 0.036 and E T 5 GeV in Fig.

The cross-section of the cars was made to conform approximately to the section of the tunnel, the idea being that each train would act like a piston in a cylinder, expelling in front of it a column of air, to be forced up the station shaft next ahead of the train, and sucking down a similar column through the station shaft just behind.

Considered by itself, with the cylinders held fixed, the vortex sets up a circumferential velocity m/r on a radius r, so that the angular momentum of a circular filament of annular cross section dA is pmdA, and of the whole vortex is pm7r(b2-a2).

If the two materials are disposed symmetrically, the amount of load carried by each would be in direct proportion to the coefficient of elasticity and inversely as the moment of inertia of the cross section.

Click image to enlarge Cross section of kidney nephron from rainbow trout naturally infected with Yersinia ruckeri.

Larger raindrops are slightly flattened and rays forming the top of a rainbow have to pass through the flattened vertical cross section.

Handle is made from a single piece of bone, rectangular in cross section.

The rear part of the body tends to be squared off, rather more rectangular in cross-section.

I feel that is probably a representative cross-section of society at large in line with the proportion of Catholics and Protestants in the country.

The ratio of the inclusive jet cross-section at Ö s = 630 GeV over Ö s = 1800 GeV is plotted in Fig.

In addition, there is a geological map and schematic cross-section of the island.

If it is 2-D, then each spectrum will be scrunched according to the corresponding cross-section of the wavelength array.

In the cross-section above you can see the root blocker, the self-cleaning system and how the water is distributed evenly !

The observed shrinkage of the diffractive peak therefore corresponds to a relative reduction of the diffractive cross section with increasing energy.

These grooves were roughly triangular in cross section with the " peaks " forming little prismatic lenses.

One contribution to the DIS total cross-section is the electroproduction of low mass vector mesons, here typified by the data.

I took a cross section of people, some celebrities and some everyday people like you and I.

Asking this information allows the manufacturer to view a cross section of consumers and find out who is using their product.

The Review won't invite students to take surveys unless school administrators have given them the OK, but the cross-section of approved colleges is quite varied.

Then there is "Bucks on the Brain," which features a cross section of a man's head and several deer bounding through the gray matter.

You'll find jobs within the state sector (those that report to the crown) to include a cross-section of almost all the jobs in New Zealand, from farming to office jobs.

The south side has a gift shop and a small museum with exhibits including a cross section of one of the cables.

One piece swimsuits are always popular, and modest swimsuits are still regarded as the only acceptable swimwear by a great cross-section of society.

The following is a list of games that seem to be the favorites of a big cross section of game players.

The circle that encompasses the cross-section of the bars has always been explained as both a symbol of the eternal nature of the universe and never ending faith in God.

Although any Cartier purchase is a worthy investment, the models below represent a tantalizing cross section of the company's most famous collections.

If finances allow, why not choose a cross-section of the bridal lingerie available?

The following is a cross-section of some of his more popular selections.

The contestants for the show were chosen to represent a wide cross section of life and to also have some very important skills that could be helpful in developing their new society.

For the liquid filling the interior of a rotating elliptic cylinder of cross section x2/a2+y2/b2 = 1, /(4) = m l (x 2 / a2 - - y2 /b 2) (5) with V21G1' =-2R =-2 m 1 (I / a2 + 21b2), 214 = m l (x2 / a2 + y2 / b2) - IR(x2+y2) = I R (x2 - y2) (a 2 - b2)/(a2+b2), cp 1 = Rxy (a 2 - b2)/(a2 +b2), w1 = cb1 +% Pli = - IiR(x +yi)2(a2b2)/(a2+b2).

Since the forces called into play by an extension or compression of the material are proportional to the cross-section, it follows that if we consider any case and then another case in which, with the same longitudinal disturbance, the cross-section is doubled, the force in the second case is doubled as well as the mass to be moved.

There's a pretty good cross-section of the population eager to chop off their long locks in order to help those with cancer have one less uncomfortable thing to deal with (baldness).