Because the West Ukrainian People's Republic was not internationally recognized and Poland's boundaries had not yet been defined, the issue of ownership of the disputed territory was reduced to a question of military control.

Because the divergence is inversely proportional to the spot size, a Gaussian beam that is focused to a small spot spreads out rapidly as it propagates away from that spot.

Because the rate of filtration at the kidney is proportional to the glomerular filtration rate, which is in turn related to the blood flow through the kidney, changes in body fluid status can affect kidney function.

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.

Because the total currents N < sub > n </ sub > i < sub > n </ sub > contribute to Φ < sub > m </ sub > it also follows that L < sub > m, n </ sub > is proportional to the product of turns N < sub > m </ sub > N < sub > n </ sub >.

Because the V required for a plane change is proportional to the instantaneous velocity, the inclination and eccentricity are usually changed together in a single manoeuvre at apogee where velocity is lowest.

Because current is proportional to drift velocity, which is, in turn, proportional to the magnitude of an external electric field, Ohm's law can be explained in terms of drift velocity.

Because their speed over the ground is greater, this decrease in efficiency is less than proportional to speed until well above Mach 2, and the consumption per mile is lower.

Because these waves are not guided but diverge, in free space these systems have attenuation following an inverse-square law, inversely proportional to distance squared.

Because the multiplier is proportional to the square root of the weight function, these functions

Because of the implementation of " one member one vote " ( OMOV ) systems and proportional delegate elections by most parties, conventions have declined in importance.

Because the relativistic mass is exactly proportional to the energy, relativistic mass and relativistic energy are nearly synonyms ; the only difference between them is the units.

Because the Ekman Spiral effects spread vertically through the water, the effect is inversely proportional to depth.

Because a protein's length ( when unfolded ) is roughly proportional to its mass, this is equivalent to saying that it attaches a number of SDS molecules roughly proportional to the protein's mass.

Because the number of purine bases will, to a very good approximation, equal the number of their complementary pyrimidines within the same strand and, because the coding sequences occupy 80-90 % of the strand, there appears to be ( 1 ) a selective pressure on the third base to minimize the number of purine bases in the strand with the greater coding content ; and ( 2 ) that this pressure is proportional to the mismatch in the length of the coding sequences between the two strands.

Because the pressure there is proportional to the load, so is the braking power.

Because RVDT ’ s perform essentially like a transformer, excitation voltages changes will cause directly proportional changes to the output ( transformation ratio ).

Because the imperfections are random, the pulse spreading effects correspond to a random walk, and thus have a mean polarization-dependent time-differential Δτ ( also called the differential group delay, or DGD ) proportional to the square root of propagation distance L:

Because the energy of each photon of EM radiation is proportional to its frequency, gamma rays have sufficient energy that they are typically observed by counting individual photons.

Because the number of pairs that can be taken from A particles is, one might expect a term proportional to.

Because the scale of such drawings are often smaller than life-size, an architect's scale features multiple units of length and proportional length increments.

Because the binding energy of a Rydberg electron is proportional to 1 / r and hence falls off like 1 / n < sup > 2 </ sup >, the energy level spacing falls off like 1 / n < sup > 3 </ sup > leading to ever more closely spaced levels converging on the first ionization energy.

Because the strain energy released is directly proportional to the square of the crack length, it is only when the crack is relatively short that its energy requirement for propagation exceeds the strain energy available to it.

) Because this bodhisattva is considered the personification of compassion and kindness, a mother-goddess and patron of mothers and seamen, the representation in China was further interpreted in an all-female form around the 12th century.

Because the database is integrated with the programming language, the programmer can maintain consistency within one environment, in that both the OODBMS and the programming language will use the same model of representation.

Because of this, the oligarchy that came into power after the " Meiji Restoration " of 1868 had a strong representation from the Satsuma province, with leaders such as Ōkubo Toshimichi and Saigō Takamori taking up key government positions.

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 files were shared and moved between computer platforms where the internal representation of the characters " Å ", " Ä ", " Ö ", " å ", " ä ", and " ö " ( all moderately common vowels ) were different, the tradition to write comments in source code without using those characters emerged.

Because the FPU stack registers are 80 bits wide, the upper 16 bits of the stack registers go unused in MMX, and these bits are all set to ones, making them NaNs or infinities in the floating point representation.

Because Rowland Heights is an unincorporated community instead of an incorporated city, it is dependent upon County of Los Angeles representation ( County Board of Supervisors ).

Because the fluid is assumed incompressible, this velocity field has the streamfunction representation

Because the wavelengths at which the images were taken do not correspond to the wavelengths of red, green and blue light, the colours in the final image only give an approximate representation of the actual colours of the galaxies in the image ; the choice of filters for the HDF ( and the majority of Hubble images ) was primarily designed to maximize the scientific utility of the observations rather than to create colours corresponding to what the human eye would actually perceive.

Because each binomial tree in a binomial heap corresponds to a bit in the binary representation of its size, there is an analogy between the merging of two heaps and the binary addition of the sizes of the two heaps, from right-to-left.

Because of the complicated legal exchange, or conveyance, of the property, one or both of the main participants are likely to require legal representation.

Because of its likehood with Saxo's description of the great image in the temple of Rügen, the statue was immediately proclaimed a representation of Svantevit, although it was clear it could not be the original Svantevit of Rügen.

Because of the difficulties third parties face in gaining any representation, third parties tend to exist to promote a specific issue or personality.

Because of a push to enlarge non-Brethren representation on the board of trustees and establish a " double standard " of conduct for regular college students and pre-seminary college students, Bauman and Charles Ashman, Sr. ( 1886 – 1967 ) resigned from the Ashland College board of trustees on June 1, 1937.

Because 69 has an odd number of 1s in its binary representation, it is sometimes called an " odious number.

Because Meretz had failed to attract voters disappointed with the Labor Party despite Labor's falling numbers in the ballot box, or even those who had voted for the Pensioners Party, an initiative was launched to broaden Meretz's representation.

Because 115 has an odd number of 1s in its binary representation, it is sometimes called an " odious number.

Because every ( nonzero finite-dimensional ) representation of G has a one-dimensional invariant subspace according to the Lie – Kolchin theorem, every irreducible finite-dimensional representation of a connected and solvable linear algebraic group G has dimension one, which is another way to state the Lie – Kolchin theorem.

Because every non-zero value has to be adjacent to two 0's, the NAF representation can be implemented such that it only takes a maximum of m + 1 bits for a value that would normally be represented in binary with m bits.

Because the Fourier representation of the data has already been computed, it is especially convenient to use the Fourier shift theorem with real-valued shifts for this purpose.

Paintings like Angry Because It ’ s Plaster, Not Milk ( 1965 ) and Strange Catch for a Fresh Water Fish ( 1965 ) are exemplary works from Ruscha ’ s group of paintings from the mid-1960s that take the strict idea of literal representation into the realm of the absurd.

Because of the broad scope of quality assessment, QoR eventually evolved into a generic vector representation comprising a number of different values, where the meaning of each vector value was explicitly specified in the QoR analysis document.