Since the Belgian Blue ’ s bone structure is the same as a normal cow, however holding a greater amount of muscle, causes them to have a greater meat to bone ratio.

Since cyclists ' legs are most efficient over a narrow range of pedaling speeds ( cadence ), a variable gear ratio helps a cyclist to maintain an optimum pedalling speed while covering varied terrain.

Since the compression ratio is the ratio between dynamic and static volumes of the combustion chamber the Atkinson cycle's method of increasing the length of the powerstroke compared to the intake stroke ultimately altered the compression ratio at different stages of the cycle.

Since the surface-to-volume ratio is lower, they have a lower fat content.

Since the engine does not have an oil injection system, two-stroke oil has to be added to the fuel tank every time the car was filled up, at a 50: 1 or 33: 1 ratio of fuel to oil.

Since the early 1970s, Cannabis plants have been categorized by their chemical phenotype or " chemotype ," based on the overall amount of THC produced, and on the ratio of THC to CBD.

Since the attenuation is defined as proportional to the logarithm of the ratio between and, where is the power at point and respectively.

Since the standard deviation of shot noise is equal to the square root of the average number of events N, the signal-to-noise ratio ( SNR ) is given by:

Since the universe is presumed to be homogeneous, it has one unique value of the baryon-to-photon ratio.

Since the font shapes are defined by equations rather than directly coded numbers, it is possible to treat parameters such as aspect ratio, font slant, stroke width, serif size, and so forth as input parameters in each glyph definition ( which then define not a single font, but a meta-font ).

Since ( compared to cars ) motorcycles have a higher centre of gravity: wheelbase ratio, they experience more weight transference when braking.

Since there may be an eclipse every half draconic month, we need to find an approximation for the number of half draconic months per synodic month: so the target ratio to approximate is: SM / ( DM / 2 )

Since the most important source of thermal energy is from the Sun, the ratio of glazing to thermal mass is an important factor to consider.

Since the kinetic energy is p < sup > 2 </ sup >/( 2m ), it follows that, indeed, the kinetic energy of the nuclei in a molecule is usually much smaller than the kinetic energy of the electrons, the mass ratio being on the order of 10 < sup > 4 </ sup >).

Since most of the archive and stock footage used in the film were shot in a 4: 3 aspect ratio, most of the film was horizontally stretched to accommodate the wider aspect ratio used in the cinema and in the DVD transfer.

Since it reports order statistics ( rather than, say, the mean ) the five-number summary is appropriate for ordinal measurements, as well as interval and ratio measurements.

Since the two quantities are equal their ratio equals one.

Since the longer devices tended to work correctly on the first try, there must have been some difficulty in flattening the two high explosive lenses enough to achieve the desired length-to-width ratio.

Since the intonation of most modern western fretted instruments is equal tempered, the ratio of the distances of two consecutive frets to the bridge is, or approximately 1. 059463.

Since for most elements of interest ( below Z = 20 ) the ratio of atomic weight, A, to atomic number, Z, is close to 2, gamma ray energy loss is related to the amount of matter per unit volume, i. e., formation density.

Since a frequency raised by one cent is simply multiplied by this constant cent value, and 1200 cents doubles a frequency, the ratio of frequencies one cent apart is precisely equal to 2 < sup > 1 / 1200 </ sup >, the 1200th root of 2, which is approximately 1. 0005777895.

Since a fifth corresponds to a frequency ratio of 2: 3, the higher tone and its harmonics would then be etc.

Since the polynomials with integer coefficients are countable, and since each such polynomial has a finite number of zeroes, the algebraic numbers must also be countable.

Since only the relative weights are relevant, any weighted mean can be expressed using coefficients that sum to one.

Since the topology on R < nowiki ></ nowiki > X < nowiki ></ nowiki > is the ( X )- adic topology and R < nowiki ></ nowiki > X < nowiki ></ nowiki > is complete, we can in particular apply power series to other power series, provided that the arguments don't have constant coefficients ( so that they belong to the ideal ( X )): f ( 0 ), f ( X < sup > 2 </ sup >− X ) and f ( ( 1 − X )< sup >− 1 </ sup > − 1 ) are all well defined for any formal power series f ∈ R < nowiki ></ nowiki > X < nowiki ></ nowiki >.

Since the field of constructible points is closed under square roots, it contains all points that can be obtained by a finite sequence of quadratic extensions of the field of complex numbers with rational coefficients.

Since only finitely many coefficients a < sub > i </ sub > and b < sub > j </ sub > are non-zero, all sums in effect have only finitely many terms, and hence represent Laurent polynomials.

( Since activity coefficients tend to unity at low concentrations, activities in the Nernst equation are frequently replaced by simple concentrations.

Since the generating function for is, the generating function for the binomial coefficients is:

Since this tends to be a rather large area compared to the projected frontal area, the resulting drag coefficients tend to be low: much lower than for a car with the same drag and frontal area, and at the same speed.

Since B is also a matrix with polynomials in t as entries, one can for each i collect the coefficients of in each entry to form a matrix B < sub > i </ sub > of numbers, such that one has

Since the filter has no resistive elements, there is no dissipation and the magnitudes of the two reflection coefficients must be equal,

Since two polynomials are equal if and only if their corresponding coefficients are equal, we can equate the coefficients of like terms.

Since the values are in integral cohomology groups, rather than cohomology with real coefficients, these Chern classes are slightly more refined than those in the Riemannian example.

Since fractions in the coefficients of a quadratic equation can be cleared by multiplying both sides by their common denominator, a quadratic irrational is an irrational root of some quadratic equation whose coefficients are integers.

Since the formal derivative of a positive degree polynomial can be zero only if the field has prime characteristic, for an irreducible polynomial to not have distinct roots its coefficients must lie in a field of prime characteristic.

Since only finitely many coefficients a < sub > i </ sub > and b < sub > j </ sub > are non-zero, all sums in effect have only finitely many terms, and hence represent polynomials from K.

In the case that V is a non-singular algebraic curve and i = 1, H < sup > 1 </ sup > is a free Z < sub > l </ sub >- module of rank 2g, dual to the Tate module of the Jacobian variety of V, where g is the genus of V. Since the first Betti number of a Riemann surface of genus g is 2g, this is isomorphic to the usual singular cohomology with Z < sub > ℓ </ sub > coefficients for complex algebraic curves.

Since the Fourier coefficients of the product of two quantities is the convolution of the Fourier coefficients of each one separately, the correspondence with Fourier series allowed Heisenberg to deduce the rule by which

Since f < sup > 0 </ sup >< sub > k </ sub > is a constant it does not contribute to the error on f. Therefore, the propagation of error follows the linear case, above, but replacing the linear coefficients, A < sub > ik </ sub > and A < sub > jk </ sub > by the partial derivatives, and.

Since only the relative phase between the coefficients of the two basis vectors has any physical meaning, we can take the coefficient of to be real and non-negative.

Since this ODE has smooth coefficients we have that solutions exist for all and are unique, given and, for all.

Since a given vector v is a finite linear combination of basis elements, the only nonzero entries of the coordinate vector for v will be the nonzero coefficients of the linear combination representing v. Thus the coordinate vector for v is zero except in finitely many entries.

More abstractly and generally, we note that the two quantities asserted to be equal count the subsets of size k and n − k, respectively, of any n-element set S. There is a simple bijection between the two families F < sub > k </ sub > and F < sub > n − k </ sub > of subsets of S: it associates every k-element subset with its complement, which contains precisely the remaining n − k elements of S. Since F < sub > k </ sub > and F < sub > n − k </ sub > have the same number of elements, the corresponding binomial coefficients must be equal.