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 )).

It lacks the NH < sub > 2 </ sub > group because of the cyclization of the side-chain and is known as an imino acid ; it falls under the category of special structured amino acids .</ ref > where R is an organic substituent known as a " side-chain "); often the term " amino acid " is used to refer specifically to these.

½ ( pKa < sub > 1 </ sub > + pKa < sub > R </ sub >), where pKa < sub > R </ sub > is the side-chain pKa.

where < big ></ big > is the number of degrees of freedom divided by two, R is the universal gas constant and n is the number of moles in the system ( a constant ).

The subcategory of commutative R-algebras can be characterized as the coslice category R / CRing where CRing is the category of commutative rings.

For example, the field extension R / Q, that is the field of real numbers as an extension of the field of rational numbers, is transcendental, while the field extensions C / R and Q (√ 2 )/ Q are algebraic, where C is the field of complex numbers.

where k < sub > B </ sub > is Boltzmann's constant, T is the temperature, R is the resistance, and is the bandwidth of the frequency.

auxiliary regression is TR < sup > 2 </ sup >, where T is the sample size and R < sup > 2 </ sup > is the coefficient of determination.

where R < sub > i </ sub > is the position vector of particle i from the reference point, m < sub > i </ sub > is its mass, and V < sub > i </ sub > is its velocity.

A binary relation is the special case of an n-ary relation R ⊆ A < sub > 1 </ sub > × … × A < sub > n </ sub >, that is, a set of n-tuples where the jth component of each n-tuple is taken from the jth domain A < sub > j </ sub > of the relation.

A binary relation R is usually defined as an ordered triple ( X, Y, G ) where X and Y are arbitrary sets ( or classes ), and G is a subset of the Cartesian product X × Y.

The definition works without any changes if instead of vector spaces over a field F, we use modules over a commutative ring R. It also can be easily generalized to n-ary functions, where the proper term is multilinear.

For the case of a non-commutative base ring R and a right module M < sub > R </ sub > and a left module < sub > R </ sub > N, we can define a bilinear map, where T is an abelian group, such that for any n in N, is a group homomorphism, and for any m in M, is a group homomorphism too, and which also satisfies

In simpler term, Biotechnology is the research and development in the laboratory that involves bioinformatics for exploration, extraction, exploitation and production from any living organisms and any source of biomass by means of biochemical engineering where high value-added products could be planned ( reproduced by Biosynthesis, for example ), fore-casted, formulated, developed, manufactured and marketed for the purpose of sustainable operations ( for the return from bottomless initial investment on R & D ) and gaining durable patents rights ( for exclusives rights for sales, and prior to this to receive national and international approval from the results on animal experiment and human experiment, especially on the pharmaceutical branch of biotechnology to prevent any undetected side-effects on safety concerns by using the products ), for more about the biotechnology industry, see.

Already a couple of weeks later, an Antonov cargo plane crossed the border from Sudan and landed at Tiringoulou airport in C. A. R., where it unloaded weapons and about 50 armed men who spread out in the area.

For example, intervals, where takes all integer values in Z, cover R but there is no finite subcover.

The general formula of a carboxylic acid is R-COOH, where R is some monovalent functional group.

A simple electric circuit, where current is represented by the letter i. The relationship between the voltage ( V ), resistance ( R ), and current ( I ) is V = IR ; this is known as Ohm's Law.

In Prince Edward Island, where no comprehensive legislation exists, following the decision of the Supreme Court of Canada in Western Canadian Shopping Centres Inc. v. Dutton, 2 S. C. R.

where vertical bars |...| denote the vector magnitude, which in the case of r ( t ) is simply the radius R of the path.

Since we are assuming circular motion, let r ( t ) = R · u < sub > r </ sub >, where R is a constant ( the radius of the circle ) and u < sub > r </ sub > is the unit vector pointing from the origin to the point mass.

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 extent of such interference -- which may be so slight as to be undetectable at any point where either of the stations renders a usable signal, or may be so great as to virtually destroy the service areas of both stations -- depends on many factors, among the principal ones being the distance between the stations, their respective radiated power, and, of particular significance here, the time of day.

Going through the Imperial Gate in the wall, I entered the grounds of Topkapi Palace, home of the Sultans and nerve center of the vast Ottoman Empire, and walked along a road toward another gate in the distance, past the Church of St. Irene, completed by Constantine in 330 A.D. on my left, and then, just outside the second gate, I saw a spring with a tap in the wall on my right -- the Executioner's Spring, where he washed his hands and his sword after beheading his victims.

More often than not I have found easy excuse to leave my own work and stand at a respectable distance where I could watch this man transform raw nature into a composed, not imitative, painting.

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.

She measured the distance from where they stood to the men and the gun, measured the distance from the men to the back room.

The distance between where she stood and where Dave waited at the outside door was a hundred miles.

From here the Aar flows northeast for a long distance, past the ambassador town Solothurn ( below which the Grosse Emme flows in on the right ), Aarburg ( where it is joined by the Wigger ), Olten, Aarau, near which is the junction with the Suhre, and Wildegg, where the Hallwiler Aa falls in on the right.

where is the star's luminosity distance in parsecs, wherein 1 parsec is approximately 3. 2616 light-years.

The Areopagus, the " mount of Ares " where Paul of Tarsus preached, is sited at some distance from the Acropolis ; from archaic times it was a site of trials.

This case is also used for nouns in several other senses, e. g., where the action occurs " because of " or " without " a certain noun ; nouns indicating distance or direction.

where m and n are nonnegative integers with, is the azimuthal angle in radians, and is the normalized radial distance.

where is called the lever arm distance to p.

Field evaporation is an effect that can occur when an atom bonded at the surface of a material is in the presence of a sufficiently high and appropriately directed electric field, where the electric field is the differential of electric potential ( voltage ) with respect to distance.

In basic electric circuit theory, when studying band-pass and band-reject filters, the bandwidth represents the distance between the two points in the frequency domain where the signal is of the maximum signal amplitude ( half power ).

The estate was conveniently located within easy walking distance of Bletchley railway station, where the " Varsity Line " between the cities of Oxford and Cambridge – whose universities supplied many of the code-breakers – met the ( then-LMS ) main West Coast railway line between London and Birmingham, Manchester, Glasgow.

More generally, an n-piece cubic Bézier curve can approximate a circle, when each inner control point is the distance from an outer control point on a unit circle, where t is 360 / n degrees, and n > 2.

Being larger than a submachine gun, they are harder to maneuver in tight encounters where superior range and stopping power at distance are not great considerations.

If the weight of the roadway per unit length is w and the weight of the cable and the wire supporting the bridge is negligible in comparison, then the weight on the cable from c to r is wx where x is the horizontal distance between c to r. Proceeding as before gives the differential equation

A good example from the late 1980s was the Ordnance Survey's first digital maps, where the absolute positions of major roads were sometimes a scale distance of hundreds of metres away from ground truth, when shown on digital maps at scales of 1: 250, 000 and 1: 625, 000, because of the overriding need to annotate the features.

In the Halo franchise, the weak, low-ranking Grunts of the Covenant originate on a frozen exoplanet named Balaho, where methane is a primary constituent of the atmosphere, prevents the planet becoming even more frigid than it already is due to its distance from its parent star, and thus, Grunts have evolved to utilize the gas for respiration.

That the Earth is itself an oblate spheroid, bulging at the equator where the radial distance and hence the centrifugal force is larger, is taken as one of the evidences for its absolute rotation.

where the notation ρ is used to describe the distance of the path from the origin instead of R to emphasize that this distance is not fixed, but varies with time.