where ΔP is the difference in the position vector over the time interval Δt.

Regardless if ΔP is infinitesimal or finite, there is ( at least — in the case of the derivative — theoretically ) a point range, where the boundaries are P ± (. 5 ) ΔP ( depending on the orientation — ΔF ( P ), δF ( P ) or ∇ F ( P )):

where is water flux, A is the hydraulic permeability of the membrane, Δπ is the difference in osmotic pressures on the two sides of the membrane, and ΔP is the difference in hydrostatic pressure ( negative values of indicating reverse osmotic flow ).

Compliance is calculated using the following equation, where ΔV is the change in volume, and ΔP is the change in pressure:

where Δτ is the shear stress change on a fault ( reckoned positive in the direction of fault slip ), Δσ < sub > n </ sub > is the normal stress change ( positive if the fault is unclamped ), ΔP is the pore pressure change in the fault zone ( positive in compression ), and μ is the friction coefficient ( with range 0-1 ).

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.

To forestall any change of allegiance, the Democrats hastily organised a testimonial banquet for O'Banion, as public reward for his past services and as a reminder of where his loyalties lay.

A natural-born subject owes allegiance wherever they may be, so that where territory is occupied in the course of hostilities by an enemy's force, even if the annexation of the occupied country is proclaimed by the enemy, there can be no change of allegiance during the progress of hostilities on the part of a citizen of the occupied country ( R v Vermaak ( 1900 ) 21 NLR 204 ( South Africa )).

The change spread more slowly in the West, where the office of abbot was commonly filled by laymen till the end of the 7th century.

One technique used to reach very low temperatures ( thousandths and even millionths of a degree above absolute zero ) is adiabatic demagnetisation, where the change in magnetic field on a magnetic material is used to provide adiabatic cooling.

where dU is the change in the internal energy of the system and δW is work done

In chaos theory, the butterfly effect is the sensitive dependence on initial conditions, where a small change at one place in a deterministic nonlinear system can result in large differences to a later state.

The Department also has its own exhibition gallery in Room 90, where the displays and exhibitions change several times a year.

In calculus, this picture also gives a geometric proof of the derivative if one sets and interpreting b as an infinitesimal change in a, then this picture shows the infinitesimal change in the volume of an n-dimensional hypercube, where the coefficient of the linear term ( in ) is the area of the n faces, each of dimension

It may have been his visit to Germany in 1532 ( where he secretly married ) which began the change in his outlook.

In contrast, a submergent coastline is one where the sea level has risen, due to a global sea level change, local subsidence, or isostatic rebound.

" Classic cyberpunk characters were marginalized, alienated loners who lived on the edge of society in generally dystopic futures where daily life was impacted by rapid technological change, an ubiquitous datasphere of computerized information, and invasive modification of the human body.

This approach is conveniently applied in the study of fluid flow where the kinematic property of greatest interest is the rate at which change is taking place rather than the shape of the body of fluid at a reference time.

To compute the temperature change in such a model, it would be necessary to know g and not just g ′, because without knowing g it is not possible to know where to evaluate f ′.

The notation travelled from France to Britain, where it became standard, although at least one journal did not change from using to until 1896.

For example, Australian left-wing " true believers " levelled it at supporters of the failed republic referendum of 1999 ( where the vote was split not along conventional party lines but very much along socio-economic divides, with the rich overwhelmingly supporting the change while the less well-off were opposed – a superficially bizarre pattern for a non-economic issue ).

The condition number of ƒ at a point x ( specifically, its relative condition number ) is then defined to be the maximum ratio of the fractional change in ƒ ( x ) to any fractional change in x, in the limit where the change δx in x becomes infinitesimally small:

After the kick is made, change of possession occurs and subsequent penalties are assessed against either the spot where the ball is caught, or the runback.

By starting with an inertial frame, where Newton's laws of motion hold, and keeping track of how the time derivatives of a position vector change when transforming to a rotating reference frame, the various fictitious forces and their forms can be identified.

Just such a disagreement has delayed the renovation of the edicule, where the need is now dire, but also where any change in the structure might result in a change to the status quo, disagreeable to one or more of the communities.