Using these formulas, the area of any polygon can be found by dividing the polygon into triangles.

Using Nevado Mismi, which in 2001 was labeled by the National Geographic Society as the Amazon's source, these scientists made new calculations of the Amazon's length.

Using these inhibitors it was discovered that cells can die while displaying a morphology similar to apoptosis without caspase activation.

Using these tools, one can write a more complex text editor, and a simple compiler for a higher-level language and so on, until one can have a graphical IDE and an extremely high-level programming language.

Using the rules of double entry, these journal summaries are then transferred to their respective accounts in the ledger, or book of accounts.

Using Flynn's taxonomy, these two schemes of dealing with data are generally referred to as SIMD ( single instruction, multiple data ) and SISD ( single instruction, single data ), respectively.

Using the extension of the code, the encoded string 0011001011 can be grouped into codewords as 0 – 011 – 0 – 01 – 011, and these in turn can be decoded to the sequence of source symbols acabc.

Using these coordinates, the motion along the path is viewed as a succession of circular paths of ever-changing center, and at each position s constitutes non-uniform circular motion at that position with radius ρ.

Using ClearType on these display configurations will actually reduce the display quality.

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

Using transforms it is possible to convert these continuous time frequency responses to ones that are implemented in discrete time, for use in digital IIR filters.

Using these definitions, examples of specific episcopal churches include:

Using these definitions it can be proven that in any ring a prime must be irreducible.

Using these samplers, the band members are able to recreate, in real-time, the sounds of non-traditional instruments, accompaniments, vocal harmonies, and other sound " events " that are familiar to those who have heard Rush songs from their albums.

Using these he instructed Davy in the rudiments of experimental science.

Using inputs such as input voltage, output voltage, output current, frequency, ambient temperature, and inductance these calculators can predict the losses of the inductors core and AC / DC based on the operating condition of the circuit being used.

Using these two examples, we can make some useful observations that motivate the major ideas in lambda calculus.

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 these tables, often calculated out to 16 decimal places or more for some functions, one could look up values to plug into the formulas given and achieve very good numerical estimates of some functions.

Using their new foreknowledge of these events, the present Janeway and Tuvok create a hologram of Kes at the time who reminds her future self about her affection for the crew and how much they had cared for her, thus showing Kes how irrational her hatred is.

Using these new tactics and the support of authors, the Company petitioned Parliament again in both 1707 and 1709 to introduce a bill providing for copyright.

Using sensing technologies such as EEG electrodes or accelerometers, these alarm clocks are supposed to wake people only from light sleep.

Using the Greek numerical prefixes, these would be as follows for series with between two and ten entries:

Using an extensive network of cities and settlements in the province of Mawarannahr ( a name given the region after the Arab conquest ) in Uzbekistan and farther east in what is today China's Xinjiang Uygur Autonomous Region, the Soghdian intermediaries became the wealthiest of these Iranian merchants.

Using these patents as a part of WI coder implementation requires licensing from all IPR holders.

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 first-principles X-ray-emission spectral-generation algorithms developed at NIST, I simulated the X-ray spectra that would be expected for Van Assche's initial estimates of the Noddacks ' residue compositions.

Using panel data estimates of export and import equations for 17 countries, Jakob B. Madsen ( 2002 ) estimated the effects of increasing tariff and non-tariff trade barriers on worldwide trade during the period 1929 – 1932.

Using estimates that a 19 × 19 game will last about 250-300 moves, a 13 × 13 game about 95-120 moves, and a 9 × 9 game about 40-50 moves, a quadratic formula for the ratio of the mean number of plays may apply.

Using guidelines for determining the fuel consumption of plug-in hybrids, VW estimates a fuel consumption of 2. 1 L / 100 km ( 112 mpg US ), which is equivalent to 49 g / km CO2.

Using estimates based on the size of the cemetery and average lifespan de Vaux calculated that the inhabitants " would not have numbered many more than 200 members.

Using the same carrier frequency for uplink and downlink also means that the channel condition is the same on both directions, and the base station can deduce the downlink channel information from uplink channel estimates, which is helpful to the application of beamforming techniques.

Using his own estimates, Lambrick suggested that with a team of 58 workers, the King Stone could have been set up in about two hours.

Using data starting from the top of the market in 1929 or starting from the bottom of the market in 1932 ( leading to estimates of equity premium of 1 % lower per year ), or ending at the top in 2000 ( vs. bottom in 2002 ) or top in 2007 ( vs. bottom in 2009 or beyond ) completely change the overall conclusion.

Using Census Bureau population estimates, Foote and Goetz repeated the analysis using arrest rates in place of simple arrest totals, and found that the effect of abortion disappeared entirely.

Using personal data gathered using their PSP skills ; the team makes the plans, the estimates, and controls the quality.

Using an estimate of approximately 30 million people in 1492 ( including 15 million in the Aztec Empire and six million in the Inca Empire ), the lowest estimates give a death toll due from disease of an astonishing 80 % by the end of the 17th century ( eight million people in 1650 ).

These estimates, however, are questioned by Dr Rory Ridley-Duff and Mike Bull who draw attention to work by the EU Commission to define and study the European social economy Using the EU definition of social economy, the annual contribution of social enterpises to the UK econony is four times larger at £ 98 billion because it includes the contribution of all co-operatives, mutuals and associations that produce goods or services to improve human well-being.

Using HIV-1 sequences preserved in human biological samples along with estimates of viral mutation rates, scientists calculate that the jump from chimpanzee to human probably happened during the late 19th or early 20th century, a time of rapid urbanisation and colonisation in equatorial Africa.

Using estimates of the total amount of iridium in the K – T layer, and assuming that the asteroid contained the normal percentage of iridium found in chondrites, the Alvarez team went on to calculate the size of the asteroid.

Using a three-condition experiment in which they asked participants in the first condition self-only questions, participants in the second condition other-only questions, and participants in the third condition self and other questions, Price and Tewksbury ’ s results indicate consistent estimates of self and other estimates across conditions.