Because of independence, the decision whether to use of the axiom of choice ( or its negation ) in a proof cannot be made by appeal to other axioms of set theory.

Because the choice of allophone is seldom under conscious control, people may not realize they exist.

Because of this, is usually a more effective choice under these operating systems ; sensitivity for these two combinations can be enhanced by the CONFIG. SYS statement.

Because the International Astronomical Union's Minor Planet Center, the body responsible for cataloguing minor planets in the Solar System, makes the distinction, the current editorial choice for Wikipedia articles on the trans-Neptunian region is to make this distinction as well.

Because the machete is common in many tropical countries, it is often the weapon of choice for uprisings.

Because of this attitude, Stephenson argues that Microsoft is not really a monopoly, as evidenced by the free availability of other choice OS's, but rather has simply accrued enough mindshare among the people to have them coming back.

Because rational choice theory lacks understanding of consumer motivation, some economists restrict its use to understanding business behavior where goals are usually very clear.

Because that goal is significantly less vacuous than " maximizing utility " and the like, rational choice theory is apt.

Because of the relative success of economics at understanding markets, rational choice theory has also become increasingly employed in social sciences other than economics, such as sociology and political science in recent decades.

Because the purpose of a roof is to protect people and their possessions from climatic elements, the insulating properties of a roof are a consideration in its structure and the choice of roofing material.

Because they express a relationship between vectors, tensors themselves must be independent of a particular choice of coordinate system.

Because of the legacy of 8-bit text representations in programming languages and operating systems and the desire to avoid burdening users with the need to understand the nuances of encoding, many text editors used by HTML authors are unable or unwilling to offer a choice of encodings when saving files to disk and often do not even allow input of characters beyond a very limited range.

Because you have a choice ...

Because there are several candidates to throne ; Talopien ( Late khagan's candidate ), Ishbara ( Kurultay's choice ) and Tardu ( the western yabgu ).

Because of this limitation, propellers are favoured for planes which travel at below mach. 5, while jets are a better choice above that speed.

Because Ancient Greece was the birthplace of the Olympic Games, Athens was considered to be an appropriate choice to stage the inaugural modern Games.

Because the minor league team that last held Jim Thorpe's contract had disbanded in 1910, he found himself in the rare position of being a sought after free agent at the major league level during the era of the reserve clause, and thus had a choice of baseball teams for which to play.

Because of the health risks of exposing children to radiation, many medical societies recommend that in confirming a diagnosis with children the ultrasound is a preferred first choice with x-rays being a legitimate follow-up when warranted.

Because of the importance of the dramatic aspects of opera to the composer, Verdi was especially selective in his choice of subjects.

Because Epaminondas was already outnumbered, he had no choice but to form fewer companies and march them diagonally toward the much longer Spartan line in order to engage as much of it as possible.

Because comic book scripts tend to favor the exclamation mark as the punctuation of choice, Maggin routinely used it instead of a full stop.

Because of the subjective choice ( determination ) of color, pH indicators are susceptible to imprecise readings.

Because of the combination of relatively light weight, reliability, high potential accuracy and lower cost, they are still the choice of many hunters, target shooters and snipers.

Because of these human-made institutions, workers have little or no choice but to pay the capitalists surplus-value ( profits, interest, and rent ) in exchange for their survival.

Because such strains transfer chromosomal genes very efficiently they are called Hfr ( high frequency of recombination ).

Because this band is higher in frequency than bands currently in use by deep-space missions, the same amount of data can be sent by smaller equipment in space and on the ground.

* Because the device is never shut off completely there is no " turn on " time, little problem with charge storage, and generally better high frequency performance and feedback loop stability ( and usually fewer high-order harmonics ).

Because waves at different frequencies propagate at differing phase velocities in dispersive media, for a large frequency range ( a narrow envelope in space ) the observed pulse would change shape while traveling, making group velocity an unclear or useless quantity.

Because this makes the frequency of the released radio signal also dependent on its origin in a predictable manner, the distribution of protons in the body can be

Because planned actions can typically only be submitted at a fixed maximum frequency ( e. g., once every few days or every few weeks ), the number of discrete actions is limited compared to real-time games.

* Because bass sounds have a higher amplitude than high frequency sounds ( for the same perceived loudness ), the space taken in the groove by low frequency sounds needed to be large ( limiting playback time per side of the record ) to accommodate the bass notes, yet the high frequencies required only tiny variations in the groove, which were easily affected by noise from irregularities ( wear, contaminates, etc.

Because it uses frequency modulation, SECAM is not linear with respect to the input image ( this is also what protects it against signal distortion ), so electrically mixing two ( synchronized ) SECAM signals does not yield a valid SECAM signal, unlike with analog PAL or NTSC.

Because high frequency signals can flow to earth through capacitance, capacitance to ground is an important factor in effectiveness of signal grounds.

Because current in these systems is interrupted by a switching action, the current contains frequency components that are multiples of the power system frequency.

Because the spectrum from Planck's law of black body radiation takes a different shape in the frequency domain from that of the wavelength domain, the frequency location of the peak emission does not correspond to the peak wavelength using the simple relationship between frequency, wavelength, and the speed of light.

Because SQUIDs can operate at acquisition rates much higher than the highest temporal frequency of interest in the signals emitted by the brain ( kHz ), MEG achieves good temporal resolution.

Because of reversibility, the Fourier transform is called a representation of the function, in terms of frequency instead of time ; thus, it is a frequency domain representation.

Because banks failed in the Dust Bowl region with a higher rate of frequency than in the rest of the country, it was harder for farmers to gain access to the credit they needed to buy capital to shift crop production.

Because it is easy to calculate, OPS has been used with increased frequency in recent years as a shorthand form to evaluate contributions as a batter.

Because of the geometric relationship, the Doppler shifted geometric chirp will effectively start at a different frequency ( multiplied by a constant ), but follow the same pattern of exponential frequency increase, so the end of the original wave, for instance, will still overlap perfectly with the beginning of the reflected wave, and the magnitude of the correlation will be high for that section of the wave.

Because the speaker is constantly moving either toward or away from the listener, however, the mechanism's rotation is constantly affecting the listener-perceived sound's wavelength by either " stretching " the wave ( increasing wavelength ) or " squeezing " it ( decreasing wavelength ) -- and because frequency, i. e., pitch, is inversely proportional to wavelength, such that increasing wavelength decreases frequency and vice versa, any listener for whom the speaker's motion changes the sound's perceived amplitude ( i. e., any listener whose distance from the speaker is changing ) must also perceive a change in frequency.