These simple formulas will not do if the input values are not equally likely, or are not independent.

If the polygon can be drawn on an equally spaced grid such that all its vertices are grid points, Pick's theorem gives a simple formula for the polygon's area based on the numbers of interior and boundary grid points.

This is again comparing a simple theory to a more complex theory where both explain the data equally well.

Nuvolari countered that he was a leading Grand Prix driver and Le Mans was a simple layout that would not trouble him, to which Sommer backed down and they agreed to divide the driving equally.

As he falls, the philosopher considers why there should be a particular word for the experience, when many equally simple concepts don't have specific names.

The basis for his claim is that the study of simple programs is the minimal possible form of science, which is equally grounded in both abstraction and empirical experimentation.

A simple example is a chart whose vertical axis has equally spaced increments that are labeled 1, 10, 100, 1000, instead of 1, 2, 3, 4.

Other examples seem more ambiguous, and could equally express Christian or Pagan sentiment, or simple poetic metaphor:

Stephen Wolfram has provided such examples with simple cellular automata, whose behavior is in most cases equally simple, but on rare occasions highly unpredictable.

A simple example is the hypothesis that an ordinary six-sided is “ fair ”, i. e., all six outcomes are equally likely to occur.

Bain argues that if we hold the origin of the universe as equally mysterious against simple equations such as 3 × 4 = 12, it seems unimaginable what kind of concepts would be described as non-mysterious.

In the circular form the nimbus constitutes a natural and even primitive use of the idea of a crown, modified by an equally simple idea of the emanation of light from the head of a superior being, or by the meteorological phenomenon of a halo.

Because in normal networking situations all individual connections are treated equally, rather than actual file transfers, multiple connections yields an advantage on saturated links over simple connections, both in terms of total bandwidth allocation and resilience.

Bob Jones III of Bob Jones University, who had not seen the film, immediately denounced it as blasphemous due in part to Zeffirelli's stated intent to portray Jesus as equally human and divine ; "... an ordinary man — gentle, fragile, simple ".

It is actually debatable if he dislikes talking to Rat or Pig more, Rat for his ego and self-centered remarks, which anger Goat greatly ; However, Pig's stupidity has, on multiple occasions, equally driven Goat over the edge, particularly when he attempts to explain something simple to Pig, and Pig continues moving further and further into the wrong direction and misunderstanding everything Goat says.

The punishment for breaking this law is equally inflexible and invoked with the simple phrase, " bust a deal, face the wheel.

The plays might seem simple due to their lack of plot in the modern sense, but the ideas that Heywood explores are developed through the exposition of the characters in an equally complex way, even if it might seem foreign to modern sensibilities.

In 1972, Moore, Krause and Moore's visiting American friend, singer-songwriter Peter Blegvad formed Slapp Happy, a self-described " naive rock " group which mixed simple pop structures with obfuscatory lyrics drawing equally from semiotic and symbolist traditions.

Based upon five principles, the statement on academic tenure is equally simple and to the point.

( In this simple example, the calculations are equally complex for the two frames described.

In the simple jet model a homogeneous sphere will emit energy equally in all directions in the rest frame of the sphere.

The parser had no problem with minimal phrases and understood < tt > LOOK WOMAN </ tt > equally well as the proper < tt > LOOK AT THE WOMAN </ tt > ( and players would usually type simple phrases for speed and easiness ).

According to the Democrats, arguments that a simple majority should prevail apply equally well to all votes where the Constitution does not specify a three-fifths majority.

" Shaw's argument was that even if wealth was initially distributed equally, the degree of laissez-faire advocated by Tucker would result in the distribution of wealth becoming unequal because it would permit private appropriation and accumulation.

" Hence an argument which claimed that the two parties could be viewed as " equally " culpable in a struggle for supremacy, would be advocating " moral equivalence.

Similarly, for every hidden argument that completely or partially justifies observed evils it is equally likely that there is a hidden argument that actually makes the observed evils worse than they appear without hidden arguments.

The argument has been proposed that this exercise does not violate nulla poena sine lege, since these acts, even if not prohibited under the law of any country, are in violation of international law, which many legal theorists view as being equally law.

The other, equally significant argument is that the planet itself contributed to the realization of psychic abilities in its human population, primarily through the star flower or Kireseth.

Although the argument has been expressed in connection with owner-occupied dwellings, the logic applies equally to all durable consumer goods and services.

Ignoring United States Supreme Court precedent, Carrico cited as authority the Virginia Supreme Court's own decision in Naim v. Naim ( 1955 ), also arguing that the case at hand was not a violation of the Fourteenth Amendment Equal Protection Clause because both the white and the non-white spouse were punished equally for the crime of miscegenation, an argument similar to that made by the United States Supreme Court in 1883 in Pace v. Alabama.

Henry George is best known for his argument that the economic rent of land should be shared equally by the people of a society rather than being owned privately.

These events are equally likely, or the game would not be fair ( ignoring the fact that his bankroll might jump over one event or the other, this is a minor complication to the argument ).

The argument is that through this indirection Rabbinic offialdom was able to integrate into the Gemaric give and take of argumentation and analysis the huge body of halakhic and hermeneutical teachings of this great Torah scholar without, however, honoring his equally significant apostasy.

The basis for Rosenfelder's argument is that since the original sale was illegal, all subsequent sales are equally unlawful.

But we do prove it a posteriori, i. e., from the things that have been created, following an argument from the effects to the cause: namely, from things which are moved and cannot be the adequate source of their motion, to a first unmoved mover ; from the production of the things in this world by causes subordinated to one another, to a first uncaused cause ; from corruptible things which equally might be or not be, to an absolutely necessary being ; from things which more or less are, live, and understand, according to degrees of being, living and understanding, to that which is maximally understanding, maximally living and maximally a being ; finally, from the order of all things, to a separated intellect which has ordered and organized things, and directs them to their end .</ li >

The first argument revolves around the principle of determination ( tarjjih ), that is prior to the existence of the universe it was equally likely for it to exist or not to exist.

The argument goes further, however, to question the purpose of money if people are paid equally.

For example, in the common tendency in the name of fairness, to seek out and equally report " both sides of the story ," it would be ludicrous spending equal time reporting the " flat Earth " argument when ever a " spherical Earth " was assumed.

The episode was designed to be non-biased and to portray each side of the argument equally.

But this argument equally means that no sign can be separated from both its denotational and connotational meanings, and, since the addresser is always using the sign for a particular purpose in a context, no sign can be divorced from the values of the addresser.

This argument essentially retains the rationalist claim that equal fault is equally deserving of blame while also retaining the consequentialist claim that different outcomes should result in moral agents feeling and acting differently.

However, the argument can be made that it is equally possible to interpret those passages from the perspective of limited atonement.

She then put forward this argument in The Times of 8 January 1897 thus: " The name Nigeria applying to no other part of Africa may without offence to any neighbours be accepted as co-extensive with the territories over which the Royal Niger Company has extended British influence, and may serve to differentiate them equally from the colonies of Lagos and the Niger Protectorate on the coast and from the French territories of the Upper Niger.

As newspaper accounts of the time relate, the short-fused Ruth then engaged in a heated argument with apparently equally short-fused home plate umpire Brick Owens.

On March 7, 2006 the plaintiffs filed a Brief in Opposition to the Governor's argument, pointing out that they do not sue " simply because they pay taxes ," but because the state does not treat all taxpayers equally.