Using the same figures as for the previous example, the equation becomes: Af

Using the figures from the previous examples, the equation becomes: Af.

Using these modelling techniques, Malthus ' population principle of growth was later transformed into a model known as the logistic equation:

Using this approach to justify the electromotive force equation ( the precursor of the Lorentz force equation ), he derived a wave equation from a set of eight equations which appeared in the paper and which included the electromative force equation and Ampère's circuital law.

Using the view factor reciprocity, A < sub > i </ sub > F < sub > ij </ sub > = A < sub > j </ sub > F < sub > ji </ sub >, the update equation can also be re-written in terms of the view factor F < sub > ji </ sub > seen by each sending patch A < sub > j </ sub >:

Using the above equation, it is known that if an average speed is 80 kilometers per hour on a 4-hour trip, the distance covered is 320 kilometers.

Using a uniqueness theorem and showing that a potential satisfies Laplace's equation ( second derivative of V should be zero i. e. in free space ) and the potential has the correct values at the boundaries, the potential is then uniquely defined.

Using standard trigonometric identities, this equation can be converted to the following form:

Using the value 4 in this equation ( midway between 3 and 5 ) yields a " compromise " wavelength-frequency-neutral peak, which is given for x =

Using the SI equation

Using the relaxation time approximation for the Boltzmann equation and assuming steady-state conditions, the phonon thermal conductivity λ < sub > L </ sub > can be determined.

Using equation in the set above, we have:

where r is the full displacement vector from the wire element to the point at which the field is being computed and r ̂ is the unit vector of r. Using this the equation can be equivalently written

Using local coordinates on M, we can write the geodesic equation ( using the summation convention ) as

Using the equation above, the probability of exactly two tosses out of four total tosses resulting in a heads is given by:

Using the standard method for solving a diffusion equation we have

Using Lagrangian mechanics, it may be shown that the motion of a pendulum can be described by the dimensionless nonlinear equation

Using the ideal gas law to replace with nRT / V, and replacing ρ with nM / V, the equation for an ideal gas becomes:

Using this property as definition, and extending this to the empty product, the right-hand side of this equation evaluates to b < sup > 0 </ sup > for the empty set, because the empty sum is defined to be zero, and therefore the empty product must equal one.

Using the Laplace transform to solve the homogeneous equation results in

Using IUPAC nomenclature, this equation would be read as " methane plus oxygen yields carbon dioxide and water.

Using ' ordinary ' revolutions-per-second frequency, this equation would be

Using this approach, lipids may be divided into eight categories: fatty acids, glycerolipids, glycerophospholipids, sphingolipids, saccharolipids, and polyketides ( derived from condensation of ketoacyl subunits ); and sterol lipids and prenol lipids ( derived from condensation of isoprene subunits ).

Using genetic reprogramming with protein transcription factors, pluripotent stem cells equivalent to embryonic stem cells have been derived from human adult skin tissue.

Using this formula, Craig derived that the probability of the story of Jesus would reach 0 in the year 3150.

Using the income derived from his legal fees, Barnett sought to try his hand at politics, unsuccessfully running twice for Governor of Mississippi, in 1951 and 1955.

Using a constitutional interpretation that used language and directly derived from the Fourteenth Amendment, the Minors argued that women had the right to suffrage because they were citizens.

Using the equivalence above, the fact that φ is a contradiction may be derived, for example, from.

Using Variety analyses he applied his neurophysiologically derived recursive Viable System Model to management.

Using this logic, Dayhoff derived matrices as high as PAM250.

Using the general results derived above for and, then

Using knowledge derived from Han Fastolfe's mind, Giskard shut down Jander.

Using this process, any electrode with an unknown potential can be paired with either the SHE or another electrode for which the potential has already been derived and that unknown value can be established.

Using Kepler's third law, the mass and density of the components can be derived from the orbital period and component sizes.

Using the Renault 25 chassis the suspension was derived from the Renault Medallion ( Renault 21 ).

Using the orthogonality relations derived above, we find that the q characters for the q inequivalent irreducible representations forms a basis set.

Using ( 1 ), various Bell inequalities can be derived, giving restrictions on the possible behaviour of local hidden variable models.

Using a sturdy welded chromoly or aluminum frame derived from the mountain bike, the city bike is more capable at handling urban hazards such as deep potholes, drainage grates, and jumps off city curbs.

Using known standards, a binding curve can then be generated which allows the amount of antigen in the patient's serum to be derived.

Using ideas drawn from SUSY, the final result can be derived with significantly greater ease, in much the same way that operator methods are used to solve the harmonic oscillator.

Using a variety of data including U. S. Consumer Price Index and Producer Price Index prices, it is derived from the largest component of the Gross Domestic Product in the BEA's National Income and Product Accounts, personal consumption expenditures.

Using the derived formula for the different ' energy ' levels of hydrogen one may determine the energy or frequencies of light that a hydrogen atom can emit.

Using these relations, Korolev and Mazin derived expressions for critical updraft speeds that represent the boundaries between regions one, two and three: