in interstellar gas, concentrations as low as Af molecules per Af may be sufficient, as compared to the Af hydrogen atom's Af required for detection of the 21-cm line.

A study of the hydrogen line profiles indicates that a measurement of these profiles can be used to calculate a temperature for the arc plasma that is reliable to about Af percent.

Af is paramagnetic, and electron paramagnetic dipole as well as nuclear dipole effects lead to line broadening.

The magnetic resonance absorption was detected by employing a Varian model Af broad line spectrometer and the associated 12-inch electromagnet system.

The silver chloride was fused under vacuum in the presence of aluminum chips with the resultant product of Af which was sublimed into a flask on the vacuum line.

In addition to the method described in the section above, chlorine and radiochlorine were prepared by the electrolysis of a Af eutectic on the vacuum line, and by exchange of Af with molten Af.

Let N be a positive integer and let V be the space of all N times continuously differentiable functions F on the real line which satisfy the differential equation Af where Af are some fixed constants.

Indeed, the spiral Af, with the two endpoints connected by a straight line possesses only one inscribed square.

The roots of this equation are just the ordinates of the intersections of the graph of B with a straight line of unit slope through Af in the b-plane ( the plane of the graph of b ).

These are defined by a simple involutorial transformation of the points in which a general line meets a nonsingular quadric surface bearing a curve of symbol Af.

A general line L meets Q in two points, Af and Af, through each of which passes a unique generator of the regulus, Af, whose lines are simple secants of Aj.

Moreover, from the definitive transformation of intercepts on the generators of Af, it is clear that the only points of Q at which a line can meet its image are the points of Aj.

Moreover, if Af and Af are two planes intersecting in a line l, tangent to Q at a point P, the two free intersections of the image curves Af and Af must coincide at P', the image of P, and at this point Af and Af must have a common tangent l'.

`` And if the dive goes OK he has the exclusive import rights to your line for this country, is that right ''??

Yet within this limitation there is an astonishing variety: design as intricate as that in the carpet or miniature, with the melodic line like the painted or woven line often flowing into an arabesque.

The line is a pretty good one.

And ( D ) all action of a physical kind pertinent to the mission is relegated to the line of men on the lower rank.

`` The Moral Creed '' and `` The Will To Risk '' live happily together, if we do not examine where the line is to be drawn.

But there is no line between France and Germany, that is, no actual line.

`` But if there is no line, how can there be two countries??

It is not in the record, but he must have galloped his horse at Peach Tree Creek when he brought up Ward's guns to save Newton's crumbling line.

In his study Samuel Johnson, Joseph Wood Krutch takes this line when he says that what Aristotle really means by his theory of catharsis is that our evil passions may be so purged by the dramatic ritual that it is `` less likely that we shall indulge them through our own acts ''.

It is difficult to draw the line between stereotype and the reality of the jazz musician.

The decline of the Cunard line from its position of dominance in Atlantic travel is a significant development in the history of transportation.

Hank Foiles, backed up by Frank House who will be within calling distance in the minors, make up better second line catching than the Birds had all last year, but Gus is still that big man you need when you start talking pennant.

therefore, only with precise foreknowledge of the line frequencies is an astronomical search for the radio spectra of these molecules feasible.

No corporation engaged in commerce shall acquire, directly or indirectly, the whole or any part of the stock or other share capital of another corporation engaged also in commerce, where the effect of such acquisition may be to substantially lessen competition between the corporation whose stock is so acquired and the corporation making the acquisition, or to restrain such commerce in any section or community, or tend to create a monopoly of any line of commerce.

It is the amount you enter on line 9, page 1 of Form 1040.

The company is still broadening its line and is now active on four major fronts.

The symbol for division is a straight line that separates two numbers placed one above the other.

After the frames and transom are set up on the jig and temporarily braced, a piece of three-inch-wide mahogany ( only widths will be given since the 13/16-inch thickness is used throughout ) is butted between frames one and two below the line of the keelson.

We observe first that no line, l, can meet its image except at one of its intersections with Q.

The most obvious of these is the quadratic complex of tangents to Q, each line of which is transformed into the entire pencil of lines tangent to Q at the image of the point of tangency of the given line.

Hence, thought of as a line in a particular plane **yp, any tangent to Q has a unique image and moreover this image is the same for all planes through L.

Clearly, any line, l, of any bundle having one of these points of tangency, T, as vertex will be transformed into the entire pencil having the image of the second intersection of L and Q as vertex and lying in the plane determined by the image point and the generator of Af which is tangent to **zg at T.

A conic, C, being a ( 1, 1 ) curve on Q, meets the image of any line of Af, which we have already found to be a Af curve on Q, in Af points.

Hence its image, C', meets any line of Af in Af points.

To do this we must first show that every line which meets **zg in a point P meets its image at P.

On C there is a Af correspondence in which the Af points cut from C by a general line, l, of the pencil correspond to the point of intersection of the image of L and the plane of the pencil.

Since C is rational, this correspondence has K coincidences, each of which implies a line of the pencil which meets its image.

Since a ruled surface of order N with N concurrent generators is necessarily a cone, it follows finally that every line through a point, P, of **zg meets its image at P, as asserted.

If **ya is the multiple secant of **zg which passes through Af and **yb is the simple secant of **zg which passes through Af, and if Af are the points in which **ya meets **zg, and if Af is the image of Af on the generator **yb, it follows that the image of the line Af is Af.

Each line of the displayed image is transmitted using a signal as shown above.

In this image, North ( the direction towards the North Celestial Pole ) is up and East is left, and the white line is the rotational axis of Altair.

This effectively triples the horizontal resolution of the image at normal viewing distances ; but the drawback is that the line thus drawn will show color fringes ( at some points it might look green, at other points it might look red or blue ).

The corners are named as follows ( the numbers correspond to the image above, starting at the start / finish line ):

The image of an ellipse by any affine map is an ellipse, and so is the image of an ellipse by any projective map M such that the line M < sup >− 1 </ sup >( Ω ) does not touch or cross the ellipse.