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

Using visual imagery of a soroban, one can arrive at the answer in the same time as, or even faster than, is possible with a physical instrument.

Using the same techniques they calculated the length of the Nile as, which is longer than previous estimates but still shorter than the Amazon.

Using the same prefixes to mean two different things within the same industry has caused some confusion.

Using the same coloring scheme of the traditional Chinese dice, every half-domino with 1 or 4 spots has those spots colored red ( for example, the 4-5 domino has four red spots and five white spots ).

Using the principle of equivalence, Einstein concluded that the same thing holds in any gravitational field, that the rate of clocks R at different heights was altered according to the gravitational field g. When g is slowly varying, it gives the fractional rate of change of the ticking rate.

Using the same general idea behind aeroponics except fogponics uses a 5-10 micron mist within the rooting chamber and as use for a foliar feeding mechanism.

Using the same view, defined concepts are complete definitions.

Using object oriented programming to model the interactions of 28 categories of molecules including DNA, RNA, proteins, and metabolites, and running on 128-core Linux cluster, the simulation takes 10 hours for a single M. genitalium cell to divide once — about the same time the actual cell takes — and generates half a gigabyte of data.

Using the same printer as for the Penny Black, Brazil opted for an abstract design instead of a portrait of Emperor Pedro II, so that his image would be not be disfigured by a postmark.

Using the same type of equipment as scuba diving, the diver breathes from compressed air cylinders, which float on a free floating raft at the surface, allowing the diver only 20 – 30 feet ( 6 – 9 m ) of depth to travel.

Using the same dough that was used for the firm ’ s crispbread, Vitawheat, he experimented with different shapes and flavourings, and the final product was launched in time for the Christmas market in 1929.

Using the normalized weight yields the same results as when using the original weights.

Using WordStar in " Nondocument Mode " was essentially the same as using a traditional text editor, but with more advanced text editing features than found in some mainframe-based editors.

Using Soundex all three variations produce the same Soundex code, C460.

Using an on-demand model allows features such as having very quick previews while editing, and once the user has finished making changes GEGL will repeat the same operations in full resolution for the final image in the background.

Using a variety of weapons, Julie must now fight off GITH's forces while at the same time uncovering a secret hidden deep within the planet.

Using Fregean terms: whenever their presuppositions hold, the two hypotheses have the same referent ( truth-value ), but different senses ; that is, they express two different ways to determine that truth-value.

Using the same S-IVB baseline, which does make sense in this case due to the lower thrust, we have an unfueled weight () of 10, 500 + 1, 650 = 12, 150 kg, and a fueled mass () of 22, 750 + 12, 150 = 34, 900 kg.

Using this convention that wave is defined as right-handed because when one points one's right thumb in the same direction of the wave ’ s propagation, the fingers of that hand curl in the same direction of the field ’ s temporal rotation.

Using the cutback technique, the power transmitted through a fiber of known length is measured and compared with the same measurement for the same fiber cut to a length of approximately.

# Using binary digits to represent all numbers and data

Using their data on the time occupied by travel to work, Table 2 below shows the absolute number of people who responded with travel times " at least 15 but less than 20 minutes " is higher than the numbers for the categories above and below it.

Using an example of " 75 % effective ", an article in American Family Physician explains the effectiveness calculation thus: ... these numbers do not translate into a pregnancy rate of 25 percent.

Using number of dice to set a task difficulty approximates fixed target numbers without needing to recall those numbers, thus streamlining actions requiring fast play ( combat ).

Using a counting argument one can show that there exist transcendental numbers which have bounded partial quotients and hence are not Liouville numbers.

Using matrices, dual numbers can be represented as

Using this global microsatellite content array approach, studies indicate that there are major new genomic destabilization mechanisms that globally modify microsatellites, thus potentially altering very large numbers of genes.

Using Vinogradov's method, Chudakov, van der Corput, and Estermann showed that almost all even numbers can be written as the sum of two primes ( in the sense that the fraction of even numbers which can be so written tends towards 1 ).

Using Fibonacci numbers, he proved that when finding the greatest common divisor of integers a and b, the algorithm runs in no more than 5k steps, where k is the number of ( decimal ) digits of b. He also proved a special case of Fermat's last theorem.

Using falling factorials, we can also characterize the Stirling numbers of the second kind by

Using the rules for complex numbers, the magnitude of this function is

Using Dirichlet's theorem on primes in arithmetic progressions, the law of quadratic reciprocity, and the Chinese remainder theorem ( CRT ) it is easy to see that for any M > 0 there are primes p such that the numbers 1, 2, …, M are all residues modulo p.

Using VLBI in this manner requires large numbers of time difference measurements from distant sources ( such as quasars ) observed with a global network of antennas over a period of time.

Using other radixes there are different automorphic numbers.

Using varying numbers of Polaroid snaps or photolab-prints of a single subject Hockney arranged a patchwork to make a composite image.

* Using the power series expansions above, the Fresnel integrals can be extended to the domain of complex numbers, and they become analytic functions of a complex variable.

Using dimensional analysis, it can also be further defined as a function of the Reynolds and Schmidt numbers:

Using the Curry – Howard isomorphism-types also serve to model implication and universal quantification: e. g. a term inhabiting is a function which assigns to any pair of natural numbers a proof that addition is commutative for that pair and hence can be considered as a proof that addition is commutative for all natural numbers.

Using her powers as a teaching aid in her career as a schoolteacher, Susan is sufficiently successful as to have parents clamouring in large numbers to have their child included in her class.

Using pairs of real numbers instead, this is the same as the two functions consisting of