where μ < sub > i </ sub > is the chemical potential per particle for an i-type particle, and N < sub > i </ sub > is the number of such particles.

where the index i denotes the ith species, c is the concentration ( mol / m < sup > 3 </ sub >), R is the universal gas constant ( J /( K mol )), T is the absolute temperature ( K ), and μ is the chemical potential ( J / mol ).

where μ < sub > 4 </ sub > is the fourth moment about the mean and σ is the standard deviation.

where μ is the Möbius function and the sums extend over all positive divisors d of n. In effect, the original f ( n ) can be determined given g ( n ) by using the inversion formula.

The theorem follows because * is ( commutative and ) associative, and 1 * μ = i, where i is the identity function for the Dirichlet convolution, taking values i ( 1 )= 1, i ( n )= 0 for all n > 1.

If μ is not a positive measure, then N is μ-null if N is | μ |- null, where | μ | is the total variation of μ ; equivalently, if every measurable subset A of N satisfies μ ( A )

where a sum over μ is performed according to the rules of Einstein notation.

where μ < sub > 3 </ sub > is the third moment about the mean μ, σ is the standard deviation, and E is the expectation operator.

The positive integer n is square-free if and only if μ ( n ) ≠ 0, where μ denotes the Möbius function.

The throughput can be analyzed mathematically by means of queueing theory, where the load in packets per time unit is denoted arrival rate λ, and the throughput in packets per time unit is denoted departure rate μ.

where μ < sub > α </ sub > and μ < sub > δ </ sub > are the components of proper motion in the R. A. and Declination, respectively, and δ is the Declination.

where the linear density μ is the mass per unit length of the string.

where μ < sub > i </ sub > is the chemical potential for the i-th component in the system.

where a is the semi-major axis, P is the orbital period, and μ is the geocentric gravitational constant, equal to approximately 398600. 4418 km < sup > 3 </ sup >/ s < sup > 2 </ sup >.

In this case the solutions are elliptically polarized electromagnetic waves with phase velocities ( where μ is the magnetic permeability ).

where μ = 255 ( 8 bits ) in the North American and Japanese standards.

where λ ' is the critical failure rate ( λ without the tick is the total failure rate ) and μ ' is the critical repair rate ( rate at which critical failures are repaired ).

But California is where we're goin ''.

He thought of the jungles below him, and of the wild, strange, untracked beauty there and he promised himself that someday he would return, on foot perhaps, to hunt in this last corner of the world where man is sometimes himself the hunted, and animals the lords.

Now I wish to enter the American market, where the competition is very strong.

from downstream, where the water level is much lower, it is a high, elaborately facaded pavilion.

The answers derived by these means may determine not only the temporal organization of the dance but also its spatial design, special slips designating the location on the stage where the movement is to be performed.

Even in domains where detailed and predictive understanding is still lacking, but where some explanations are possible, as with lightning and weather and earthquakes, the appropriate kind of human action has been more adequately indicated.

Robert Penn Warren puts it this way in `` Brother To Dragons '': `` The recognition of complicity is the beginning of innocence '', where innocence, I think, means about the same thing as redemption.

A dominant motive is the poet's longing for his homeland and its boyhood associations: `` Not men-folk, but the fields where I would stray, The stones where as a child I used to play ''.

In a society where everything is for sale, Marlowe is the only man who cannot be bought.

This is done for simplicity of commands and to bring the hidden redundancy up to where misunderstanding has almost zero possibility.

As to benefits to employees, it is notorious for its callous disregard except where it depends on them for services.

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

Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.

Ptolemy's problem is to forecast where, against the inverted bowl of night, some particular light will be found at future times.

She was exposing herself to temptation which it is best to avoid where it can consistently be done.

Such performance is a great tribute to American scientists and engineers, who in the past five years have had to telescope time and technology to develop these long-range ballistic missiles, where America had none before.

but it is perennially restructured in situations where anchors are dragged or lost.

`` History has this in common with every other science: that the historian is not allowed to claim any single piece of knowledge, except where he can justify his claim by exhibiting to himself in the first place, and secondly to any one else who is both able and willing to follow his demonstration, the grounds upon which it is based.

Finally we may note that the idea appears in educational theory where its influence is at present widespread.

The location of the latter now is determined for tax purposes at the time of registration, and it is now accepted practice to consider a motor vehicle as being situated where it is garaged.

There was one vote for location being the place where the property is situated for the greater portion of the twelve months preceding the assessment date.

Class 2, stations operating on clear channels are required to cease operation or operate under nighttime restrictions beginning either at local sunset ( for daytime class 2, stations ) or sunset at the location of the dominant class 1, station where located west of the class 2, station ( for limited-time class 2, stations ).

Department stores congregated in the `` one hundred per cent location '', where all the transit lines converged.

An RDW will be of the form Af, where xxxx is the starting location of the area and yyyy is its ending location.

Because agricultural activities are seasonal and the areas of production and harvest of many foods are widely scattered geographically, and because of the high cost of transporting bulk food items any substantial distance to a central processing location, the use of large central processing stations, where low-cost radiation facilities approaching the megawatt range might be utilized, is inherently impracticable.

Use of Video Arraignment system allows the courts to conduct the requisite arraignment process without the need to transport the person who has been formally accused ( offender ) to the courtroom by using an audio-visual link between the location where the offender is being held and the courtroom.

The basic anchoring consists of determining the location, dropping the anchor, laying out the scope, setting the hook, and assessing where the vessel ends up.

His western coastline is so distorted, however, that it is impossible to say where Adjacium was ; certainly, he would have known its name and location if he had had any first-hand knowledge of the island and if in fact it was there.

This is the location from where Salīm, as the Emperor Jahāngīr read out the firman permitting the British East India Company to trade with India.

This can occur particularly where the business transaction has no obvious physical location: in the case of many financial products, it may be unclear " where " the transaction occurs.

It is named after the city of Berkeley, California, the location of the University of California Radiation Laboratory where it was discovered in December 1949.

" Draw " shots are those where the bowl is rolled to a specific location without causing too much disturbance of bowls already in the head.

The Hebrew Bible identifies Bethlehem as the city David was from and the location where he was crowned as the king of Israel.

This insulation of snow often keeps the water from freezing in and around the food pile, providing a location where beavers can breathe when outside their lodge.

However, the term is applied to multidimensional data as well as to univariate data and in situations where a transformation of the data values for some or all dimensions would usually be considered necessary: in the latter cases, the notion of a " central location " is retained in converting an " average " computed for the transformed data back to the original units.

* Cortical stimulation mapping, a type of electrocorticography which is used a method to determine the location in the brain where information of a certain kind is processed

That same year, the university's campus was moved from Madison Avenue to its location in the Morningside Heights neighborhood of Manhattan, where it occupies more than six city blocks, or.

where x < sub > 0 </ sub > is the location parameter, specifying the location of the peak of the distribution, and γ is the scale parameter which specifies the half-width at half-maximum ( HWHM ).

** The breech refers to the mass of solid metal behind the bottom of the bore extending to the base of the breech and including the base ring ; it also generally refers to the end of the cannon opposite the muzzle, i. e., the location where the explosion of the gunpowder begins as opposed to the opening through which the pressurized gas escapes.

In practice a groveling letter of apology to the court is sufficient to ward off this possibility, and in any event the warrant is generally ' backed for bail ' i. e. bail will be granted once the arrest has been made and a location where the person can be found in future established.