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Page "Squaring the square" ¶ 9
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simple and squared
In Roman floor mosaics, the simple classical labyrinth is framed in the meander border pattern, squared off as the medium requires, but still recognisable.
The smallest simple perfect squared square was discovered by A. J. W. Duijvestijn using a computer search.
The smallest simple squared square forms the logo of the Trinity Mathematical Society.
In order to be an isochrone, the Lagrangian must be that of a simple harmonic oscillator: the height of the curve must be proportional to the arclength squared.
However, the crossbar switch does so at the expense of using N < sup > 2 </ sup > ( N squared ) simple SPST switches.
In the most simple case ( which is actually used in most cases ), the distortion is defined as the expected value of the square of the difference between input and output signal ( i. e., the mean squared error ).
The squared off shape and simple lines of a scow make it a popular choice for simple home-built boats made from plywood.
When the quantization step size is small ( relative to the variation in the signal being measured ), it is relatively simple to show that the mean squared error produced by such a rounding operation will be approximately.
Andrew Steer later noted simple integer ratios between the squared distances of nearby circles, which gives further clues as to how the pattern is meant to be detected efficiently by image-processing software.
This same squared mesh pattern was carried over onto the main grille, replacing the simple fine mesh of the 1962 models.
simple: Metre per second squared
Following Serlio's interpretation of Vitruvius ( who gives no indication of the column's capital ), in the Tuscan order the column had a simpler base — circular rather than squared as in the other orders, where Vitruvius was being followed — and with a simple torus and collar, and the column was unfluted, while both capital and entablature were without adornments.
The art style has several influences: Jack Kirby from the squared fingers, muscles and jaws ; the simple clean lines of Golden Age-era comics.
In other words, simple linear regression fits a straight line through the set of n points in such a way that makes the sum of squared residuals of the model ( that is, vertical distances between the points of the data set and the fitted line ) as small as possible.

simple and square
Although modern scholars have expressed surprise that `` the simple magic square of three '', a mere `` mathematical puzzle '', was able to exert a considerable influence on the minds and imaginations of the cultured Chinese for so many centuries, they could have found most of the answers right within the square itself.
Unlike the simple counting board used in elementary schools, very efficient suanpan techniques have been developed to do multiplication, division, addition, subtraction, square root and cube root operations at high speed.
Baudhayana ( c. 8th century BCE ) composed the Baudhayana Sulba Sutra, the best-known Sulba Sutra, which contains examples of simple Pythagorean triples, such as:,,,, and as well as a statement of the Pythagorean theorem for the sides of a square: " The rope which is stretched across the diagonal of a square produces an area double the size of the original square.
The simple square glass pavilion is a powerful expression of his ideas about flexible interior space, defined by transparent walls and supported by an external structural frame.
But for a simple square LED with 90-degree angled surfaces on all sides, the faces all act as equal angle mirrors.
They are related to our everyday ideas of probability by the simple rule that the probability of an event is the square of the length of the corresponding amplitude arrow.
The algorithm for deciding this is conceptually simple: it constructs ( the description of ) a new program t taking an argument n which ( 1 ) first executes program a on input i ( both a and i being hard-coded into the definition of t ), and ( 2 ) then returns the square of n. If a ( i ) runs forever, then t will never get to step ( 2 ), regardless of n. Then clearly, t is a function for computing squares if and only if step ( 1 ) terminates.
The square wave is derived from the sawtooth waveform using a simple, single-transistor waveshaping circuit.
The rank of a square matrix can also be characterized as the tensor rank: the minimum number of simple tensors ( rank 1 tensors ) needed to express A as a linear combination,.
While subtractive synthesis can be applied to any source audio signal, the sound most commonly associated with the technique is that of analog synthesizers of the 1960s and 1970s, in which the harmonics of simple waveforms such as sawtooth, pulse or square waves are attenuated with a voltage-controlled resonant low-pass filter.
( If one of the basic hand-shape glyphs is used, such as the simple square or circle, this band breaks it in two ; however, if there are lines for fingers extended from the base, then they become detached from the base, but the base itself remains intact.
In general, the use of peak amplitude is simple and unambiguous only for symmetric periodic waves, like a sine wave, a square wave, or a triangular wave.
User guides for some such meters give correction factors for some simple non-sinusoidal waveforms, to allow the correct root mean square ( RMS ) equivalent value to be calculated.
More complex expressions can be constructed by specifying an axis other than the default ' child ' axis, a node test other than a simple name, or predicates, which can be written in square brackets after any step.
The reef knot or square knot is an ancient and simple binding knot used to secure a rope or line around an object.
Gersonides wrote Maaseh Hoshev in 1321 dealing with arithmetical operations including extraction of square and cube roots, various algebraic identities, certain sums including sums of consecutive integers, squares, and cubes, binomial coefficients, and simple combinatorial identities.
The concept is simple ; more daylighting means less artificial light and fewer square feet of necessary glazing, thus saving significant energy and resulting in lower financial and environmental costs.
It consisted of a simple square of four blocks, each block containing eight lots.

simple and is
But that is too simple, and won't hold up.
This is simple enough, but several more points of interest may be mentioned as relevant.
Thus the fictional detective is much more than a simple businessman.
Yet the attitude that the fate of the Presidency demands in such a situation is quite distinct from the simple courage that can proceed with battles to be fought, regardless of the consequences.
Its massive contours are rooted in the simple need of man, since he is always incomplete, to complete himself.
Moreover its posture of stubborn but simple resistance is doomed to failure because of the metaphysical weakness of the existent form of order, once the activation of change has reached visible proportions.
One who invites such trials of character is either foolhardy, overconfident or too simple and childlike in faith in mankind to see the danger.
Although it is constantly made to look foolish ( too simple to come in out of the rain, people say, who have found in the innocent an impediment ), it does not mind looking foolish because it is not concerned with how it looks.
Her clothes, her hair, everything about her is both graceful and simple.
In this domain the simple fact of coexistence in the same local, national, and world community is enough to guarantee that we cannot refrain from having some effect, large or small, upon Gentile-Jewish relations.
But simple involvement is not enough ; ;
Many readers of this department no doubt discount certain of my opinions for the simple reason that they can guess pretty accurately, even if they have never actually been told, what my age is.
`` Why '', he replied, `` it is perfectly simple ; ;
More important is the simple human point that all men suffer, and that it is a kind of anthropological-religious pride on the part of the Jew to believe that his suffering is more poignant than mine or anyone else's.
It is a simple task to haul a boat fifty or one hundred miles to a lake or reservoir on the new, light, strong, easy-to-operate trailers which are built to accommodate almost any kind of small boat and retail from $100 to $2,000.
This is a varmint load, pure and simple ; ;
You'll find, once your technique is perfected, that you can cook on a boat with a simple Bernz-O-Matic.
Fairing is always a tedious job but the work can be cut down considerably with a Skill planer and a simple jig.
Most of it is panelized and utilizes standard materials, and requires the use of only simple tools.
A relatively simple switching arrangement reverses the cycle so that the machine literally runs backward, and the heat is extracted from outdoor air and turned indoors.
One simple method of measuring the expansion of the heart is to tie a thin rubber tube, filled with mercury, around the heart and record the change in resistance as the tube is stretched.

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