But when the situation was so complicated that even Nogaret, one of the principal actors in the drama, could misinterpret the pope's motives, it is possible that Othon and his companions, equally baffled, attributed their difficulties to a more immediate cause.

Tenderly and rather tediously, the camera rivets on the abrupt, deep love of a pretty nurse and a uniformed teacher, complicated by nothing more than a friend they don't want to hurt.

However, such apparent simplifications can perversely make a script more complicated.

In sign languages, however, several channels operate simultaneously — hand shape, often with the two hands operating independently, hand location, hand motion, facial expression, mouthing — making an alphabetic script more complicated than just stringing letters together in the order sounds are produced.

Formulas for the surface areas of simple shapes were computed by the ancient Greeks, but computing the surface area of a more complicated shape usually requires multivariable calculus.

A January 15, 1941 story in the Des Moines Register announced the ABC as " an electrical computing machine " with more than 300 vacuum tubes that would " compute complicated algebraic equations " ( but gave no precise technical description of the computer ).

However, when there are complementary allophones of a phoneme, so that the allophony is significant, things become more complicated.

Another criticism is that universities tend more to pseudo-intellectualism than intellectualism per se ; for example, to protect their positions and prestige, academicians may over-complicate problems and express them in obscure language ( e. g., the Sokal affair, a hoax by physicist Alan Sokal attempting to show that American humanities professors invoke complicated, pseudoscientific jargon to support their political positions.

As a consequence of this approach, Descartes had to deal with more complicated equations and he had to develop the methods to work with polynomial equations of higher degree.

In general, linear equations involving x and y specify lines, quadratic equations specify conic sections, and more complicated equations describe more complicated figures.

By opening the stop wider, similar deviations arise for lateral points as have been already discussed for axial points ; but in this case they are much more complicated.

When AI researchers attempt to " scale up " their systems to handle more complicated, real world situations, the programs tend to become excessively brittle without commonsense knowledge or a rudimentary understanding of the situation: they fail as unexpected circumstances outside of its original problem context begin to appear.

But more complicated foreign exchange arbitrages, such as the spot-forward arbitrage ( see interest rate parity ) are much more common.

Active backplanes are more complicated and thus have a non-zero risk of malfunction.

Brownian motion is among the simplest of the continuous-time stochastic ( or probabilistic ) processes, and it is a limit of both simpler and more complicated stochastic processes ( see random walk and Donsker's theorem ).

In that case, the situation is a little more complicated.

However other sources of the period, such as the writings of the French dancing-masters Feuillet and Lorin, indicate that steps more complicated than simple walking were used at least some of the time.

However, in more abstract and complicated CPUs and ISAs, a microprogram is often used to assist in translating instructions into various configuration signals for the CPU.

In practice, common law systems are considerably more complicated than the simplified system described above.

Cold atoms in optical lattices are used as " quantum simulators ", that is, they act as controllable systems that can model behavior of more complicated systems, such as frustrated magnets.

The actual reaction is more complicated and involves the bicarbonate ion ( HCO < sub > 3 </ sub >< sup >-</ sup >) that forms when CO < sub > 2 </ sub > reacts with water at seawater pH:

A more dangerous formula for national frustration cannot be imagined.

A mathematical formula is nothing more than a pattern for solving a specific problem.

A patient could receive up to 300 days paid-for nursing home care under a `` unit formula '' allowing more of such care for those who use none or only part of the hospital-care credit.

* branched ( general formula, n > 3 ) wherein the carbon backbone splits off in one or more directions

Closely related and even more numerous are amides derived from primary amines ( R ' NH < sub > 2 </ sub >) with the formula RC ( O ) NHR '.

The Newton formula can lead one to believe that flight is more difficult than it actually is, due to this overprediction of drag and thus required thrust, and it may have contributed to a delay in human flight.

Some argue that the OPS formula is flawed and that more weight should be shifted towards OBP ( on base percentage ).

", while focusing on a Hi-NRG musical formula, was more lyrically focused on anti-homosexual prejudice.

* The sequential use of the Bayes ' formula: when more data become available after calculating a posterior distribution, the posterior becomes the next prior.

Starting again with a slightly more general formula

Natural saccharides are generally built of simple carbohydrates called monosaccharides with general formula ( CH < sub > 2 </ sub > O )< sub > n </ sub > where n is three or more.

In calculus, the chain rule is a formula for computing the derivative of the composition of two or more functions.

A strong indication of the reliability of Chandrasekhar's formula is that the absolute magnitudes of supernovae of Type Ia are all approximately the same ; at maximum luminosity, M < sub > V </ sub > is approximately-19. 3, with a standard deviation of no more than 0. 3 .< sup >, ( 1 )</ sup > A 1-sigma interval therefore represents a factor of less than 2 in luminosity.

Church subsequently modified his methods to include use of Herbrand – Gödel recursion and then proved ( 1936 ) that the Entscheidungsproblem is unsolvable: There is no generalized " effective calculation " ( method, algorithm ) that can determine whether or not a formula in either the recursive-or λ-calculus is " valid " ( more precisely: no method to show that a well formed formula has a " normal form ").

Part V of this act established an amending formula for the Canadian constitution, the lack of which ( due to more than 50 years of disagreement between the federal and provincial governments ) was the only reason Canada's constitutional amendments still required approval by the British parliament after ratification of the Statute of Westminster in 1931.

In those oblique coordinate systems the computations of distances and angles is more complicated than in standard Cartesian systems, and many standard formulas ( such as the Pythagorean formula for the distance ) do not hold.

If these conditions do not hold, the formula describes a more general affine transformation of the plane provided that the determinant of A is not zero.

More generally a disjunction is a logical formula that can have one or more literals separated only by ORs.

The formula is more complex than the Otto cycle ( petrol / gasoline engine ) relation that has the following formula ;

This complex exponential function is sometimes denoted The formula is still valid if x is a complex number, and so some authors refer to the more general complex version as Euler's formula.

In electronic engineering and other fields, signals that vary periodically over time are often described as a combination of sine and cosine functions ( see Fourier analysis ), and these are more conveniently expressed as the real part of exponential functions with imaginary exponents, using Euler's formula.

The covalent energy of a bond is approximately, by quantum mechanical calculations, the geometric mean of the two energies of covalent bonds of the same molecules ( which is approximately equal to the arithmetic mean-which is applied in the first formula above-as the energies are of the similar value, except for the highly electropositive elements i. e. when there is a larger difference of two dissociation energies, but the geometric mean is more accurate and almost always gives a positive excess energy, due to ionic bonding ), and there is an additional energy that comes from ionic factors, i. e. polar character of the bond.