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 ''.

since Bourbon whiskey, though of Kentucky origin, is at least as much favored by liberals in the North as by conservatives in the South.

This is puzzling to an outsider conscious of the classic tradition of liberalism, because it is clear that these Democrats who are left-of-center are at opposite poles from the liberal Jefferson, who held that the best government was the least government.

A third, one of at least equal and perhaps even greater importance, is now being traversed: American immersion and involvement in world affairs.

And it is expressed, at least to their taste, in a perfect form.

That, I thought, is at least one thing I can find out when we meet.

All such imitations of negative quality have given rise to a compensatory response in the form of a heroic and highly individualistic humanism: if man can neither know nor love reality as it is, he can at least invent an artistic `` reality '' which is its own world and which can speak to man of purely personal and subjective qualities capable of being known and worthy of being loved.

That is questionable, to say the least.

Actually, you could wish for some passion, now and then, but when you look around the world and see the little volcanos of current history which partisan social passions have wrought, you are glad that in these pamphlets there is at least some civilized calm.

The men who speculate on these institutions have, for the most part, come to at least one common conclusion: that many of the great enterprises and associations around which our democracy is formed are in themselves autocratic in nature, and possessed of power which can be used to frustrate the citizen who is trying to assert his individuality in the modern world ''.

It must be granted that the flouting of convention, no matter how well intentioned one may be, is sure to lead to trouble, or at least to the discomfort that goes with social disapproval.

However, it was not of innocence in general that I was speaking, but of perhaps the frailest and surely the least important side of it which is innocence in romantic love.

The discussion is therefore limited to a suggested procedure for realizing at least some of the potential importance of this volume for future policy.

It is at least possible that the capacity to postpone gratification is developed as well as expressed in a continuous and guided exposure to great literature.

Here we may observe that at least one modern philosophy of history is built on the assumption that ideas are the primary objectives of the historian's research.

but this -- yes, terrible step I am about to take is lightened with an inundating joy by the new-found hope that here, in these poems, is treasure -- or at least some measure of beauty, which I did not know of ''.

It is puzzling to the occidental mind ( to mine at least ) to assign `` sacredness '' to animal, insect, and plant life.

Again omitting recent developments, E.T. Leeds' dictum of 1913 has stood unchallenged: `` So far as archaeology is concerned, there is not the least warrant for the second ( shore occupied by ) of these theories ''.

Milton himself, uncommunicative as he is about his lesser and nonliterary activities, at least gives us some evidence that he was a great walker, under any and all conditions.

There is, of course, nothing new about dystopias, for they belong to a literary tradition which, including also the closely related satiric utopias, stretches from at least as far back as the eighteenth century and Swift's Gulliver's Travels to the twentieth century and Zamiatin's We, Capek's War With The Newts, Huxley's Brave New World, E. M. Forster's `` The Machine Stops '', C. S. Lewis's That Hideous Strength, and Orwell's Nineteen Eighty-Four, and which in science fiction is represented before the present deluge as early as Wells's trilogy, The Time Machine, `` A Story Of The Days To Come '', and When The Sleeper Wakes, and as recently as Jack Williamson's `` With Folded Hands '' ( 1947 ), the classic story of men replaced by their own robots.

That is reserved for the squares.

That is why, the argument runs, the squares are so fearful of jazz and yet perversely fascinated by it.

In the following paper it is shown that in a certain definite sense, exactly an odd number of squares can be inscribed in every such curve which does not contain an infinite number of inscribed squares.

We first define a function b{t} as follows: given the set of squares such that each has three corners on C and vertex at t, b{t} is the corresponding set of positive parametric differences between T and the backward corner points.

This is one of the most charming little squares in this part of Rome.

* If it is required to use a single number X as an estimate for the value of numbers, then the arithmetic mean does this best, in the sense of minimizing the sum of squares ( x < sub > i </ sub > − X )< sup > 2 </ sup > of the residuals.

# As exploratory data analysis, an ANOVA is an organization of an additive data decomposition, and its sums of squares indicate the variance of each component of the decomposition ( or, equivalently, each set of terms of a linear model ).

The fundamental technique is a partitioning of the total sum of squares SS into components related to the effects used in the model.

The number of degrees of freedom DF can be partitioned in a similar way: one of these components ( that for error ) specifies a chi-squared distribution which describes the associated sum of squares, while the same is true for " treatments " if there is no treatment effect.

Using the F-distribution is a natural candidate because the test statistic is the ratio of two scaled sums of squares each of which follows a scaled chi-squared distribution.

A key problem in the design of good algorithms for this problem is that formulas for the variance may involve sums of squares, which can lead to numerical instability as well as to arithmetic overflow when dealing with large values.

It turns out that a more suitable quantity for updating is the sum of squares of differences from the ( current ) mean,, here denoted:

The combined area of these three shapes is between 15 and 16 square ( geometry ) | squares.

Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and squares, often in two and sometimes in three dimensions.

A board split into 4x4 squares is ideal.

Dividing limits the size of chains-in the case of 4x4 squares, the longest possible chain is four, filling the larger square.

A variant played in Poland allows a player to claim a region of several squares as soon as its boundary is completed.

Because Broadway is a true north – south route that parallels the Hudson River and preceded the grid that the Commissioners ' Plan of 1811 imposed on the island, Broadway diagonally crosses Manhattan, its intersections with avenues marked by " squares " ( some merely triangular slivers of open space ) have induced some interesting architecture, such as the Flatiron Building.

Chess is a two-player board game played on a chessboard, a square checkered board with 64 squares arranged in an eight-by-eight grid.

Chess is played on a square board of eight rows ( called ranks and denoted with numbers 1 to 8 ) and eight columns ( called files and denoted with letters a to h ) of squares.

* The pawn may move forward to the unoccupied square immediately in front of it on the same file ; or on its first move it may advance two squares along the same file provided both squares are unoccupied ; or it may move to a square occupied by an opponent's piece which is diagonally in front of it on an adjacent file, capturing that piece.