This work gave a heat of formation of aluminum fluoride which closely substantiates a value which had been determined by a less direct method, and raises this property to 15 percent above that accepted a few years ago.

I therefore believe it is realistic to assume a modest drop in the total value of home entertainment electronics to about $1.8 million, slightly below 1960, but above 1959.

Its value was Af from the above data.

If the rake angle **yc of the knife is high enough and the friction angle **yt between the front of the knife and the back of the chip is low enough to give a positive value for Af, the resultant vector R will lie above the plane of the substrate.

If she chose, and in that final decision discarded, what, above all, all of us value, life itself, must she not have risen to her fullest height, and transcending her murky self, felt at last the passion of a great moral decision??

Ringing refers to an output variation that cycles above and below an amplifier's final value and leads to a delay in reaching a stable output.

In some contexts, the signal bandwidth in hertz refers to the frequency range in which the signal's spectral density is nonzero or above a small threshold value.

Most commonly, bandwidth refers to the 3-dB bandwidth, that is, the frequency range within which the spectral density ( in W / Hz or V < sup > 2 </ sup >/ Hz ) is above half its maximum value ( or the spectral amplitude, in V or V / Hz, is more than 70. 7 % of its maximum ); that is, above − 3 dB relative to the peak.

If a house or car is above a certain value, the bankrupt can buy the interest back from the estate in order to keep the asset.

In setting the clock period to a value well above the worst-case propagation delay, it is possible to design the entire CPU and the way it moves data around the " edges " of the rising and falling clock signal.

* The extreme value theorem: a continuous real-valued function on a nonempty compact space is bounded above and attains its supremum.

So the above product is always equal to the difference quotient, and to show that the derivative of at a exists and to determine its value, we need only show that the limit as x goes to a of the above product exists and determine its value.

Once the ray either encounters a light source, or more probably once a set limiting number of bounces has been evaluated, then the surface illumination at that final point is evaluated using techniques described above, and the changes along the way through the various bounces evaluated to estimate a value observed at the point of view.

the hydrostatic equation together with the nonrelativistic Fermi gas equation of state, and also treated the case of a relativistic Fermi gas, giving rise to the value of the limit shown above.

When the appropriate conditions above are satisfied a system is said to be asymptotically stable: the variables of an asymptotically stable control system always decrease from their initial value and do not show permanent oscillations.

In addition, the preferences of the agent ( the particular rewards that they value ) also cause the beliefs formed to change-this explains the Biased Assimilation ( also known as Confirmation Bias ) shown above.

It was not until 1997, however, that a direct experiment, by S. Lamoreaux, described above, quantitatively measured the force ( to within 15 % of the value predicted by the theory ), although previous work van Blockland and Overbeek ( 1978 ) had observed the force qualitatively, and indirect validation of the predicted Casimir energy had been made by measuring the thickness of liquid Helium films by Sabisky and Anderson in 1972.

Cantor's construction of the real numbers is similar to the above construction ; the real numbers are the completion of the rational numbers using the ordinary absolute value to measure distances.

Using the DPV formula above ( FV =$ 150, 000, i = 0. 05, n = 3 ), that means that the value of $ 150, 000 received in three years actually has a present value of $ 129, 576 ( rounded off ).

As per the above, the difficulty value where the odds of success are perfectly even is identical to the step number.

Field shifts were derived from the mean value of the resonance line, defined as the field about which the first moment is zero.

In this way, the arbitrageur makes a low-risk profit, while keeping ETF prices in line with their underlying value.

If the shooter " hits " the point value again ( any value of the dice that sum to the point will do ; the shooter doesn't have to exactly repeat the value combination of the come-out roll ) before rolling a seven, the Pass line wins and a new round starts, usually with the dice staying with the current shooter.

If is any unit vector, the projection of the curl of F onto is defined to be the limiting value of a closed line integral in a plane orthogonal to as the path used in the integral becomes infinitesimally close to the point, divided by the area enclosed.

This gives an exact value for the slope of a straight line.

If the function f is not linear ( i. e. its graph is not a straight line ), however, then the change in y divided by the change in x varies: differentiation is a method to find an exact value for this rate of change at any given value of x.

A value of h close to zero gives a good approximation to the slope of the tangent line, and smaller values ( in absolute value ) of h will, in general, give better approximations.

The derivative is the value of the difference quotient as the secant lines approach the tangent line.

The value of capital goods is brought into line with the value of future consumer goods through competition in financial markets, because competition for profits among capitalists financiers rewards entrepreneurs who value capital more correctly ( i. e. anticipating future prices more correctly ) and eliminates capitalists who value capital least correctly.

The American military left Iqaluit in 1963, as intercontinental ballistic missiles ( ICBM ) diminished the strategic value of the DEW line and Arctic airbases, but Frobisher Bay remained the government's administrative and logistical centre for much of the eastern Arctic.

But, even though Weber's research interests were very much in line with that school, his views on methodology and the theory of value diverged significantly from those of other German historicists and were closer, in fact, to those of Carl Menger and the Austrian School, the traditional rivals of the historical school.

; each subscript and value is spelled out using the strings in the program source line labelled " digits ".

The value of graphite was soon realised to be enormous, mainly because it could be used to line the moulds for cannonballs, and the mines were taken over by the Crown and guarded.

Humor columnist Dave Barry frequently refers to the song line as a source of comedic value, particularly in his 1997 book Dave Barry's Book of Bad Songs.

The peak value of the Lorentzian line shape occurs at the line center,.

A line shape function can be normalized so that its value at is unity ; in the case of a Lorentzian we obtain:

The larger the absolute value of a slope, the steeper the line.

Here P represents the value of the stream in state P and Q the cost of operating the stage with conditions Q.

The value of in the color code ranges from 0. 0 to 1. 0, where 0. 0 represents a fully transparent color, and 1. 0 represents a fully opaque color.

where the right-hand side represents the probability that the random variable X takes on a value less than or

Here the left-hand side represents the true difference between the value of g at a and at, whereas the right-hand side represents the approximation determined by the derivative plus an error term.

The compression ratio of an internal-combustion engine or external combustion engine is a value that represents the ratio of the volume of its combustion chamber from its largest capacity to its smallest capacity.

where, and are nonterminal symbols, α is a terminal symbol ( a symbol that represents a constant value ), is the start symbol, and ε is the empty string.

The absolute value of is the area of the parallelogram, and thus represents the scale factor by which areas are transformed by.

The value ( CD / CF ) represents the average bits per pixel ( BPP ).

When used to represent carried traffic, a value ( which can be a non-integer such as 43. 5 ) followed by “ erlangs ” represents the average number of concurrent calls carried by the circuits ( or other service-providing elements ), where that average is calculated over some reasonable period of time.

When used to describe offered traffic, a value followed by “ erlangs ” represents the average number of concurrent calls that would have been carried if there were an unlimited number of circuits ( that is, if the call-attempts that were made when all circuits were in use had not been rejected ).

Recall that an eigenstate of a continuous observable represents an infinitesimal range of values of the observable, not a single value as with discrete observables.

The all-bits-one value represents overflow.

Intangible personal property or " intangibles " refers to personal property that cannot actually be moved, touched or felt, but instead represents something of value such as negotiable instruments, securities, service ( economics ), and intangible assets including chose in action.

An eigenstate of an observable represents the state of the wavefunction for a certain measurement value ( the eigenvalue ).

In this example the postcondition guarantees, in cases in which the precondition holds ( i. e., when represents a valid hour of the day ), that after the execution of, the class attribute will have the same value as.

A representation of a solution might be an array of bits, where each bit represents a different object, and the value of the bit ( 0 or 1 ) represents whether or not the object is in the knapsack.

( m < sub > 1 </ sub > is not really a memory cell because it represents a current value ).

The magnification here is typically negative ; in photography, the factor is sometimes written as 1 + m, where m represents the absolute value of the magnification ; in either case, the correction factor is 1 or greater.

The value added of this sector represents around 6. 5 % of the total value added of the region, equalling € 213. 7 million.

This represents the value ( or values ) of the argument x in the interval that minimizes ( or minimize ) the objective function x < sup > 2 </ sup > + 1 ( the actual minimum value of that function is not what the problem asks for ).