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remains and constant
A constant is a number that remains the same regardless of the other numbers used in the formula and the resultant equation.
More generally, suppose that an experiment consists of a number of independent trials, that each trial results in either a `` success '' or a `` non-success '' ( `` failure '' ), and that the probability of success remains constant from trial to trial.
There remains a residue of total costs, or total `` revenue requirements '' which, since it is found to behave as if it were constant over substantial variations in traffic density, is strictly unallocable on a cost-finding basis.
At the opposite extreme, a transformation of a thermodynamic system can be considered isothermal if it is slow enough so that the system's temperature remains constant by heat exchange with the outside.
For an ideal gas, the temperature remains constant because the internal energy only depends on temperature in that case.
For incompressible flows, density remains constant.
* Conservation of Energy: Although energy can be converted from one form to another, the total energy in a given closed system remains constant.
If the pressure in a system remains constant ( isobaric ), a vapor at saturation temperature will begin to condense into its liquid phase as thermal energy ( heat ) is removed.
While their coordinate distance ( comoving distance ) remains constant, the physical distance between two such comoving points expands proportionally with the scale factor of the Universe.
In some dances the separation distance between the partners remains pretty constant.
( To be precise: for the definition of the dipole moment one should always consider the " dipole limit ", where e. g. the distance of the generating charges should converge to 0, while simultaneously the charge strength should diverge to infinity in such a way that the product remains a positive constant.
The magnitude of angular momentum remains constant throughout the dive, but since
* A " stable " filter produces an output that converges to a constant value with time, or remains bounded within a finite interval.
All the above assumes that the interest rate remains constant throughout the whole period.
For example, a thermocouple might be used to help ensure a furnace's temperature remains constant.
A primary law of population ecology is the Malthusian growth model which states, " a population will grow ( or decline ) exponentially as long as the environment experienced by all individuals in the population remains constant.
The total electric charge of an isolated system remains constant regardless of changes within the system itself.
In classical thermodynamics, the concept of entropy is defined phenomenologically by the second law of thermodynamics, which states that the entropy of an isolated system always increases or remains constant.
This contrasts with amplitude modulation, in which the amplitude of the carrier is varied while its frequency remains constant.
With a tone-modulated FM wave, if the modulation frequency is held constant and the modulation index is increased, the ( non-negligible ) bandwidth of the FM signal increases but the spacing between spectra remains the same ; some spectral components decrease in strength as others increase.
During the melting process, the temperature remains constant at 0 ° C.
When a beam of light crosses the boundary between a vacuum and another medium, or between two different media, the wavelength of the light changes, but the frequency remains constant.
The Bernoulli principle states that the sum total of energy within a parcel of fluid remains constant as long as no energy is added or removed.
In the case of LORAN, one station remains constant in each application of the principle, the primary, being paired up separately with two other secondary stations.
He found that the percentage of participants who are prepared to inflict fatal voltages remains remarkably constant, 61 – 66 percent, regardless of time or place.

remains and source
It cannot become the source of a real Atlantic community if it remains organized to deal only with the military threat which first brought it into being ''.
For this period, as for earlier centuries, pottery remains the most secure source ; ;
It is named after its scholarly journal Annales d ' histoire économique et sociale, which remains the main source of scholarship, along with many books and monographs.
Melos, long marked as a source of early objects but not systematically excavated until taken in hand by the British School at Athens in 1896, yielded at Phylakope remains of all the Aegean periods, except the Neolithic.
It is only the reader of the book who learns of God's conversations with Satan ; Job himself remains unaware of the reason or source of his sufferings.
Indeed, scholars have referred to the presence or absence of such features as one source of evidence for dating the remains.
It is a curious document and remains a source of confusion and argument.
The victory remains a source of national pride to Ecuadorians as a rare case when " Ecuador " forcefully bettered a " neighboring country.
While subject to criticism at home and abroad on issues of protection, enforcement, over-regulation, and imposition of externalities, the country remains an important source of environmental legal expertise and experience.
Having formulated the relativistic, geometric version of the effects of gravity, the question of gravity's source remains.
So strict was the secrecy that the composition of Greek fire was lost forever and remains a source of speculation.
Contarini remains the most important source for the study of sixteenth and seventeenth century Venice's unique system of government.
The two neighbours immediately went ahead with normalizing their relations, but the state's name remains a source of local and international controversy.
Because it requires no battery or other source of energy, the magneto is a compact and reliable self-contained ignition system, which is why it remains in use in many general aviation applications.
" As Ned Sublette points out though: " By the 1960s, with Cuba the object of a United States embargo that still remains in effect today, the island nation had been forgotten as a source of music.
Construction has been an important South Korean export industry since the early 1960s and remains a critical source of foreign currency and invisible export earnings.
Much about Remus remains a mystery, including the source of its humanoid population.
The time the light source remains in the excited state thus depends on the light source itself as well as its environment.
Despite its incomplete state, the Jerusalem Talmud remains an indispensable source of knowledge of the development of the Jewish Law in Israel.
The exact definition of taxonomy varies slightly from source to source, but the core of the discipline remains: the conception, naming, and classification of organism groups.
" The source of the leak remains unannounced.
Criticized by modern biographers for its artistic license and highly subjective point of view, the book nevertheless remains an important source of information and perspective on Tubman's life.
Furthermore each case of food-borne botulism is a potential public health emergency in that it is necessary to identify the source of the outbreak and ensure that all persons who have been exposed to the toxin have been identified, and that no contaminated food remains.

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