Family survival on our own Western frontier, for example, could quite literally depend on a man's strength and ability to bring home the bacon ; ;

The effects of the galactic tide are quite complex, and depend heavily on the behaviour of individual objects within a planetary system.

Most Amazon parrots are predominantly green, with accenting colors that depend on the species and can be quite vivid.

So it is quite surprising that the result does not depend on its embedding in spite of all bending and twisting deformations undergone.

After the U. S. presidential election, 2000, some commentators suggested that the ability to approve of a candidate, but disapprove of his or her party affiliation or elements of his or her platform, might be quite important, and that satisfaction of citizens with the political system might well depend on such an electoral reform.

Similarity of matrices does not depend on the base field: if L is a field containing K as a subfield, and A and B are two matrices over K, then A and B are similar as matrices over K if and only if they are similar as matrices over L. This is quite useful: one may safely enlarge the field K, for instance to get an algebraically closed field ; Jordan forms can then be computed over the large field and can be used to determine whether the given matrices are similar over the small field.

However, whether a list gets an extra seat or not may well depend on how the remaining votes are distributed among other parties: it is quite possible for a party to make a slight percentage gain yet lose a seat if the votes for other parties also change.

The precise sizes are quite subjective, and depend on both shooter preference and ambient lighting, which is why target rifles come with easily replaceable front sight inserts, and adjustable aperture mechanisms.

This result is quite strong in the sense that it does not depend on the number of dimensions of the integral: most of the deterministic methods like trapezoidal rule strongly depend on the dimension of the integral, because they use a grid to fill the space to compute the integral, and the grid grows exponentially with the dimensions.

The formal accounting distinction between on and off-balance sheet items can be quite detailed and will depend to some degree on management judgments, but in general terms, an item should appear on the company's balance sheet if it is an asset or liability that the company owns or is legally responsible for ; uncertain assets or liabilities must also meet tests of being probable, measurable and meaningful.

A central, " not quite original ", thesis is that rationality does not depend on good reasons.

His argument is essentially concerned with the adaptive effect of optimistic beliefs about control and performance in circumstances where control is possible, rather than perceived control in circumstances where outcomes do not depend on an individual's behavior.

Kant once again invites his dissatisfied critics to actually provide a proof of God's existence and shows that this is impossible because the various arguments ( ontological, cosmological and teleological ) for God's existence all depend essentially on the idea that existence is a predicate inherent to the concepts to which it is applied.

Since the indeterminacy is relatively harmless, and has meromorphic continuation everywhere, there is a sense in which the properties of Z ( s ) do not essentially depend on it.

This, however, is not entirely true ; the multiphonic will depend on the room temperature and other such things, but essentially multiphonics sound the same due to the harmonic structure of the multiphonic.

He had to depend on himself, since he was invariably miles and hours away from others.

They differed in the balance they believed essential to the sovereignty of the citizen -- but the supreme sacrifice each made served to maintain a still more fundamental truth: That individual life, liberty and happiness depend on a right balance between the two -- and on the limitation of sovereignty, in all its aspects, which this involves.

Whether any of us remain in it long will depend on what happens as a result of the technological and economic revolutions now going on in the countries of Asia and Africa, and also of course on how long the cold war remains cold.

Only recently, and perhaps because a television debate can so effectively dramatize President Kennedy's extraordinary mastery of detail, have the abilities on which the capacity for making distinctions depend begun to be clearly discernible at the level of politics.

They know that they must depend heavily on factors outside their own control.

First and foremost, they depend on the inhuman idiocies of the Communist regime.

Secondly, they depend on America's `` moral cooperation '' when the crucial moment arrives.

The extent to which we can persuade the less developed countries to appraise their own resources, to set targets toward which they should be working, to establish in the light of this forward perspective the most urgent priorities for their immediate attention, and to do the other things which they must do to help themselves, all on a realistic long-term basis, will depend importantly on the incentives we place before them.

The survival of the family will depend largely on information received by radio.

Meanwhile, the Peace Corps could be physically located in ICA's facilities and depend on the State Department and ICA for administrative support and, when needed, program assistance.

Our own freedom, and the future of freedom around the world, depend, in a very real sense, on their ability to build growing and independent nations where men can live in dignity, liberated from the bonds of hunger, ignorance and poverty.

Faculty members depend on their department chairmen to promote their interests with the administration.

Of course, individual financing arrangements depend a good deal on the purchaser's earning power, credit rating and local bank policy.

The Supermatic Trophy ( prices begin at less than $135 and depend on grade and optional features ) is a 12-gauge auto.

The inner panels do not have to be weatherproof, and the choice will depend on the quality of finish desired.

You might try providing standard vacation time off but make the vacation pay depend on the number of hours worked in the previous year.

Since emotional reactions in the higher vertebrates depend on individual experience and are aroused in man, in addition, by complex symbols, one would expect that the hypothalamus could be excited from the cortex.

There are certain tax attributes of a corporation whose nature and effect might depend on the facts of the particular reorganization involved.

In a set of case studies of teachers with various social-class backgrounds, Wattenberg illustrates a variety of approaches to students and to teaching which depend upon the teacher's personality as well as on his social-class background.

Therefore, the third principle of the plan must be that it does not depend for effectiveness on engagement by the same types, unless at an assured favorable exchange rate.

These losses depend on fiber diameter and length, absorption coefficient, the mean value of the loss per internal reflection and last, but not least, on the angular distribution of the incident light.

A system had to be used which did not depend upon the feeding of the fluid into the manometer if measurements of the normal pressure were to be made in a reasonable time.

The resolution capabilities of an electrostatic system depend on both the choice of magnification and chromatic aberrations.

The action of one antioxidant may therefore depend on the proper function of other members of the antioxidant system.

The widely accepted notion that the security of the system should depend on the key alone has been explicitly formulated by Auguste Kerckhoffs ( in the 1880s ) and Claude Shannon ( in the 1940s ); the statements are known as Kerckhoffs ' principle and Shannon's Maxim respectively.

Definitions of complexity often depend on the concept of a " system "— a set of parts or elements that have relationships among them differentiated from relationships with other elements outside the relational regime.

" or " Does the long-term behavior of the system depend on its initial condition?

Endocrinology ( from Greek, endo, " within ";, krīnō, " to separate "; and ,-logia ) is a branch of biology and medicine dealing with the endocrine system, its diseases, and its specific secretions called hormones, the integration of developmental events such as proliferation, growth, and differentiation ( including histogenesis and organogenesis ) and the coordination of metabolism, respiration, excretion, movement, reproduction, and sensory perception depend on chemical cues, substances synthesized and secreted by specialized cells.

Although the total energy of a system does not change with time, its value may depend on the frame of reference.

Dangerous characteristics such as stalling, spinning and pilot-induced oscillation ( PIO ), which depend mainly on the stability and structure of the aircraft concerned rather than the control system itself, can still occur with these systems.

If F is the only force acting on the system, the system is called a simple harmonic oscillator, and it undergoes simple harmonic motion: sinusoidal oscillations about the equilibrium point, with a constant amplitude and a constant frequency ( which does not depend on the amplitude ).

As the system does not depend on the legal enforceability of claims, it can operate even in the absence of a legal and juridical environment.

The system in Germany whereby citizens were tried by their peers chosen from the entire community in open court was gradually superseded by an " engine of tyranny and oppression " in which the " process of investigation is secret, and life and liberty depend on the sentence of a judge or judges appointed by the state ".

Most MIDI synthesizers default to the conventional, Western, equal temperament tuning system of twelve pitches per octave, which makes types of music that depend on different intonation systems inaccessible.

While thermodynamic equilibrium determines the theoretical extent of a given mass transfer operation, the actual rate of mass transfer will depend on additional factors including the flow patterns within the system and the diffusivities of the species in each phase.

Therefore, the effects of a neurotransmitter system depend on the connections of the neurons that use the transmitter, and the chemical properties of the receptors that the transmitter binds to.

These items are affected both by precession of the equinoxes and nutation, and thus depend on the theories applied to precession and nutation, and on the date used as a reference date for the coordinate system.

Whereas the physical quantity indicated by any physical constant does not depend on the unit system used to express the quantity, the numerical values of dimensional physical constants do depend on the unit used.

While remote, rural areas still largely depend on non-mechanized means of transport, a modern maglev train system was built in China to connect the city center of Shanghai with its international airport.

* Axiomatic systems, the primitive notions will depend upon the set of axioms chosen for the system.

This is a modern reincarnation of Kerckhoffs ' doctrine, first put forward in the nineteenth century, that the security of a system should depend on its key, not on its design remaining obscure.

In physics, as well as mathematics, a vector is often identified with a tuple, or list of numbers, which depend on some auxiliary coordinate system or reference frame.