Selection of the operation to be performed, reading, writing, converting to or from binary to decimal, or reducing a set of equations was made by front panel switches and in some cases jumpers.

A more complete set of equations for combustion of methane in air is therefore:

In modern design, a system is represented to the greatest advantage as a set of decoupled first order differential equations defined using state variables.

In contrast to the frequency domain analysis of the classical control theory, modern control theory utilizes the time-domain state space representation, a mathematical model of a physical system as a set of input, output and state variables related by first-order differential equations.

Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.

If is continuous in an open set Ω and the partial derivatives of ƒ with respect to x and y exist in Ω, and satisfies the Cauchy – Riemann equations throughout Ω, then ƒ is holomorphic ( and thus analytic ).

Nevertheless, if a function satisfies the Cauchy – Riemann equations in an open set in a weak sense, then the function is analytic.

* The determinant of the matrix of coefficients of a set of linear equations ( see Cramer's Rule )

The result is a more complex set of 3 equations.

In a set simultaneous equations, or system of equations, multiple equations are given with multiple unknowns.

Opponents argued that in principle an economy can be seen as a set of equations.

In classical electromagnetism, the electromagnetic field obeys a set of equations known as Maxwell's equations, and the electromagnetic force is given by the Lorentz force law.

Maxwell developed a set of equations that could unambiguously describe the interrelationship between electric field, magnetic field, electric charge, and electric current.

Applying these laws results in a set of simultaneous equations that can be solved either algebraically or numerically.

The behavior of fluids can be described by the Navier – Stokes equations — a set of partial differential equations which are based on:

For fluids which are sufficiently dense to be a continuum, do not contain ionized species, and have velocities small in relation to the speed of light, the momentum equations for Newtonian fluids are the Navier-Stokes equations, which is a non-linear set of differential equations that describes the flow of a fluid whose stress depends linearly on velocity gradients and pressure.

Magueijo's proposal used a different set of units, a choice which he justifies with the claim that some equations will be simpler in these new units.

With this additional condition — the covariant divergence of the energy – momentum tensor, and hence of whatever is on the other side of the equation, is zero — the simplest set of equations are what are called Einstein's ( field ) equations:

Kerr, who set the world record earlier this month in New York with a clocking of 1.09.3, wiped out Mills's early pace and beat the young Big 10 quarter-mile king by 5 yards.

Both the BIH scale and A. 1 was defined by an epoch at the beginning of 1958: it was set to read Julian Date 2436204. 5 ( 1 January 1958 00: 00: 00 ) at the corresponding UT2 instant.

In the center of the tablet is a set of 5 parallel lines equally divided by a vertical line, capped with a semicircle at the intersection of the bottom-most horizontal line and the single vertical line.

* Architect / Designer I: Recently licensed architect or non-registered graduate with 3 – 5 years of experience ; responsible for particular parts of a project within parameters set by others.

One method of accomplishing this moor is to set a bow anchor normally, then drop back to the limit of the bow cable ( or to double the desired scope, e. g. 8: 1 if the eventual scope should be 4: 1, 10: 1 if the eventual scope should be 5: 1, etc.

$ 5, 000 bought a player's skill set.

This special, set in the English Civil War, was shown as part of Comic Relief's Red Nose Day on Friday 5 February 1988.

* In the third UK series, " Big Brother " set live tasks for the housemates on a Saturday night in order to win treats ; this was used until Series 5 of the program.

* Since Big Brother 2, the UK series always opens with a twist which have included the public being able to choose the final housemate out of three possibilities ( Big Brother 2 ), the public voting for a housemate to leave during the first week and then the housemates choosing between the two housemates with the least number of votes ( Big Brother 3 ), First Night Nominations ( Big Brother 4 ), Suitcase Nominations ( Big Brother 5 ), Unlucky Housemate 13 ( Big Brother 6 ), Big Brother Hood ( Big Brother 7 ), an all-female House and the first inclusion of twins as contestants ( Big Brother 8 ), the first couple to enter as housemates and set a secret task to hide their real relationship ( Big Brother 9 ), all " housemates " really being " non-housemates " who had to earn their housemate status ( Big Brother 10 ), a mole entering the House with an " Impossible Task " ( Big Brother 11 ), Jackie Stallone entering a house containing her son's ex-wife ( Celebrity Big Brother 3 ), the entrance of a non-celebrity in a celebrity edition ( Celebrity Big Brother 4 ) and Jade Goody's family announced to be visiting.

This is a simulation of the Brownian motion of 5 particles ( yellow ) that collide with a large set of 800 particles.

For example, the set with elements 2, 3, and 5 is equal to the set of all prime numbers less than 6.

The government has set targets of annual 5 % growth and 25 % inflation for 2000-2001.

Example 5 then includes the set of states consistent with running in the set of states consistent with fun.

For example, a central bank might set a target rate for overnight lending of 4. 5 %, but rates for ( equivalent risk ) five-year bonds might be 5 %, 4. 75 %, or, in cases of inverted yield curves, even below the short-term rate.

One way is simply to list all of its elements ; for example, the set consisting of the integers 3, 4, and 5 may be denoted.

If a 4, 5, 6, 8, 9, or 10 is thrown on the come-out roll ( i. e., if a point is set ), most casinos allow pass line bettors to take odds by placing from one to five times ( and at some casinos, up to 100 times ) the pass line bet behind the pass line.

Rather than the original 20 cm size, the diameter of this compact disc was set at 11. 5 cm, the diagonal measurement of a compact cassette.

This product, made into a mortar with sand, set in 5 – 15 minutes.

Thus Post in his 1936 was also discounting Kurt Gödel's suggestion to Church in 1934 – 5 that the thesis might be expressed as an axiom or set of axioms.

Recent studies, based on a larger data set, indicate the cut-off inclination of 12 ° ( instead of 5 °) between the cold and hot populations while confirming the distinction between the homogenous red cold population and the bluish hot population.

In Stanleyville, those loyal to the deposed Lumumba set up a rival government under Antoine Gizenga which lasted from 31 March 1961 until it was reintegrated on 5 August 1961.

When they have 4 to 6 leaves and are thrifty little plants, it's time to set them out where they are to remain.

Houghton said 6 p.m. Friday had been set for a canvass of all 480 homes in the subdivision, which is located northeast of Dequindre and 14 Mile Road East.

The repeating periodicity of the blocks of 2, 6, 10, and 14 elements within sections of the periodic table arises naturally from the total number of electrons which occupy a complete set of s, p, d and f atomic orbitals, respectively.

These states are labeled by a set of quantum numbers summarized in the term symbol and usually associated with particular electron configurations, i. e., by occupation schemes of atomic orbitals ( e. g., 1s < sup > 2 </ sup > 2s < sup > 2 </ sup > 2p < sup > 6 </ sup > for the ground state of neon -- term symbol: < sup > 1 </ sup > S < sub > 0 </ sub >).

# No playable tiles-Per 2008 rules, a player that has no legal plays because all 6 tiles in his or her hand are unplayable may reveal his or her hand, set aside his or her unplayable tiles, and draw six new tiles at the beginning of his or her turn.

The C and C ++ programming languages, for example, define byte as an " addressable unit of data storage large enough to hold any member of the basic character set of the execution environment " ( clause 3. 6 of the C standard ).

In 1893, the Badminton Association of England published the first set of rules according to these regulations, similar to today's rules, and officially launched badminton in a house called " Dunbar " at 6 Waverley Grove, Portsmouth, England on September 13 of that year.

Albertone's askari brigade was the first to encounter the onrush of Ethiopians at 6: 00, near Kidane Meret, where the Ethiopians had managed to set up their mountain artillery.

The Braves would lose again the following night, and the Rockies 10 – 6 win set their magic number at 1.

The injured parties have an opt-out right during the opt-out period set by the Court, usuallay 3 to 6 months.

The highest auction record for the artist was set on November 6, 2007 at Christie's in New York, where a group of four paintings, " Les Quatre Saisons " ( the Four Seasons ) sold for $ 14, 601, 000 ( estimate $ 12, 000, 000-$ 18, 000, 000 ).

In April 1979, he filed a suit to set aside the $ 6 million settlement with Day and recover damages from everybody involved in agreeing to the payment supposedly without his permission.

Another significant set of violations concerns the " confrontation clause " of Article 6 ( i. e. the right to examine witnesses or have them examined ).

Georg Ferdinand Ludwig Philipp Cantor ( ; ; – January 6, 1918 ) was a German mathematician, best known as the inventor of set theory, which has become a fundamental theory in mathematics.

The player becomes more likely to lose in a set number of iterations as he fails to win, and eventually his probability of winning will again equal the probability of winning a single toss, when only one toss is left: 6. 25 % in this instance.

The second set, designed to detect stronger fields, was 6. 7 m from the spin axis.

At Jupiter, the outboard ( 11 m ) set of sensors could measure magnetic field strengths in the range from ± 32 to ± 512 nT, while the inboard ( 6. 7 m ) set was active in the range from ± 512 to ± 16, 384 nT.

In 1938, Greenberg led the league in runs scored ( 144 ) and at-bats per home run ( 9. 6 ), tied for the AL lead in walks ( 119 ), was second in RBIs ( 146 ), slugging percentage (. 683 ), and total bases ( 380 ), and third in OBP (. 438 ) and set a still-standing major league record of 39 homers in his home park, the newly reconfigured Briggs Stadium.

The Committee of Public Safety, set up by the National Convention on 6 April 1793, formed the twelve-member de facto executive government of France.