* A complex polygon is a figure analogous to an ordinary polygon, which exists in the complex Hilbert plane.

The Schwarzian derivative and associated second order ordinary differential equation can be used to determine the Riemann mapping between the upper half-plane or unit circle and any bounded polygon in the complex plane, the edges of which are circular arcs or straight lines.

Thus, in no ordinary sense of ' simplicity ' is the Ptolemaic theory simpler than the Copernican.

Perhaps the mere fact that by plucking on the nerves nature can awaken in the most ordinary of us, temporarily anyway, the sleeping poet, and in poets can discover their immortality, is the most remarkable of all the remarkable phenomena to which we can attest??

To obey the moral law is just ordinary common sense, applied to a neglected field.

The present attempts of the politicians to contaminate ordinary Britons shows that this British common sense is unwilling to pull somebody else's chestnuts out of the fire by new military adventures ''.

It is conceivable that Broxodent could do a better job than ordinary brushing, especially in those who do not brush their teeth properly.

Ironic, is it not, that after completing years of costly scientific training he will receive a cut in pay from what he is receiving as an ordinary unskilled laborer??

and, though he repeated, over and over again, the spectacular figures of industrial and agricultural production in 1980, the `` ordinary '' people in Russia are still a little uncertain as to how `` communism '' is really going to work in practice, especially in respect of food.

He is most effective in the ordinary business of the House, and in the legislative accomplishments of this session, he easily rose to great occasion -- even at the height of unpleasantness and exciting legislative struggle -- and as the Nation witnessed these contests, he rose, even as admitted by those who differed with him, to the proportions of a hero and a noble partisan.

It is an exotic place, so different from the ordinary that the casual tourist is likely to see at first only the contrast and the ugliness of narrow streets lined with haphazard houses.

In some neighborhood in the f-plane of any ordinary point of the graph, the function f is a single-valued, continuous function.

With the vertex at Af in the C-plane we assume that Af is the parametric location on C of an ordinary intersection Q between C and Af.

For it is clear that the total number of ordinary intersections of C and Af must be even ( otherwise, starting in the interior of C, Af could not finally return to the interior ), and the center of rotation at T is the argument of the function, not a value.

The poem does not distort the syntax of ordinary speech nor draw on exotic sources of diction, yet it is obviously not ordinary speech -- only Hardy would say `` a grin of bitterness swept thereby ; ;

The gallium / germanium ratio is higher than that for ordinary igneous, metamorphic, or sedimentary matter as a result of selective volatilization of the components of the tektite.

This and raw sugar replace ordinary refined sugar on the tables and very little sugar is used in cooking.

What we have here is in some ways more like an ordinary conversation.

Eichmann himself is a model of how the myth of the enemy-Jew can be used to transform the ordinary man of present-day society into a menace to all his neighbors.

An ordinary sea wave is rarely more than a few hundred feet long from crest to crest -- no longer than 320 feet in the Atlantic or 1,000 feet in the Pacific.

Generally the first salvo of a tsunami is a rather sharp swell, not different enough from an ordinary wave to alarm casual observers.

All in all, though, there is a good deal of nonsense expended over the preparations thought necessary for ordinary wine drinking ; ;

`` It is a much easier course to agree to let one another alone so far as ordinary patents are concerned '', said a trade authority, `` than to continue the costly effort of straightening the tangle in the courts or seeking to reform the patent system, which appears to be getting into deeper confusion every day ''.

Cheap racquets are still often made of metals such as steel, but wooden racquets are no longer manufactured for the ordinary market, because of their excessive mass and cost.

Entry-level IT workers and white-collar American workers alike have given Mike Judge's 1999 comedy film Office Space a cult following because of its heroic portrayal of ordinary office employees who become fed up with their jobs.

We say that the mutation is recessive because the organism will exhibit the wild type phenotype ( ordinary trait ) unless both chromosomes of a pair have the mutation ( homozygous mutation ).

For example, when an ordinary RGB digital image is compressed via the JPEG standard, the RGB colorspace is first converted ( by a rotation matrix ) to a YCbCr colorspace, because the three components in that space have less correlation redundancy and because the chrominance components can then be subsampled by a factor of 2 or 4 to further compress the image.

Crossbow arrows are of similar construction as ordinary bow arrows, just shorter in length because of reduced power stroke.

Although many were initially wary of the concept, it was because people were able to witness the procedure's consistently positive results, within their own community of ordinary citizens, that it became widely utilized and supported.

the commonly-used ordinary least squares method may not recover the theoretical relation desired or may produce estimates with poor statistical properties, because the assumptions for valid use of the method are violated.

It is also 1-dimensional for the same reason as the ordinary line, but it has, in addition, a fractal dimension greater than 1 because of how its detail can be measured.

They are issued in response to questions by ordinary Muslims, and go unnoticed by those not concerned, while the much smaller number of fatwā issued on controversial subjects, such as war, jihad, and dhimmis ( particularly by extremist preachers ), sometimes get wide coverage in the media because of their political content ( see examples below ).

Most of the attempts to lower or prove the complexity of FFT algorithms have focused on the ordinary complex-data case, because it is the simplest.

Historians have used it as a primary source because of its wealth of detail on ordinary life in the 17th century, and the many towns and villages which Fox visited.

At the point when money velocity and prices rapidly accelerate in a vicious circle, hyperinflation is out of control, because ordinary policy mechanisms, such as increasing reserve requirements, raising interest rates, or cutting government spending will be ineffective and be responded to by shifting away from the rapidly devalued money and towards other means of exchange.

During the latter part of the 1990s the UN considered relaxing the sanctions imposed because of the hardships suffered by ordinary Iraqis.

" Lillian Hoddeson, a University of Illinois historian who wrote a book on Bardeen, said that because he " differed radically from the popular stereotype of genius and was uninterested in appearing other than ordinary, the public and the media often overlooked him.

I set up a simple experiment at Yale University to test how much pain an ordinary citizen would inflict on another person simply because he was ordered to by an experimental scientist.

Central moments are used in preference to ordinary moments because then the values ' higher-order quantities relate only to the spread and shape of the distribution, rather than to its location.

However, because they are not anti-symmetric, some of the ordinary intuition that a student may have with regards to the symbol ≤ may not apply.

His reign was popular with ordinary people because he checked the power of the nobles and passed some of it on to the growing middle class.

Similarly, the first bicycles with two wheels of equal size were called " safety bicycles " because they were easier to handle than the then-dominant style that had one large wheel and one small wheel, which then became known as an " ordinary " bicycle.

* ius commune and ius singulare-Ius singulare ( singular law ) is special law for certain groups of people, things, or legal relations ( because of which it is an exception from the general principles of the legal system ), unlike general, ordinary, law ( ius commune ).

Note that the ordinary sphere is a 2-sphere, because it is a 2-dimensional surface ( which is embedded in 3-dimensional space ).

Because Adorno believed that sociology needs to be self-reflective and self-critical, he believed that the language the sociologist uses, like the language of the ordinary person, is a political construct in large measure that uses, often unreflectingly, concepts installed by dominant classes and social structures ( such as our notion of " deviance " which includes both genuinely deviant individual and " hustlers " operating below social norms because they lack the capital to operate above: for an analysis of this phenomenon, cf.