Lagrange's law says that its velocity is equal to the square root of the product of the depth times the acceleration due to gravity.

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.

They use an abacus to perform the mathematical functions multiplication, division, addition, subtraction, square root and cubic root.

The square root of the frequency of these photons ( x-rays ) increased from one target to the next in a linear fashion.

Stone gives an example of this: when computing the roots of a quadratic equation the computor must know how to take a square root.

If they don't then for the algorithm to be effective it must provide a set of rules for extracting a square root.

Some subfields of R have nontrivial field automorphisms, which however do not extend to all of R ( because they cannot preserve the property of a number having a square root in R ).

The root mean square value of the thermal noise in a resistor is given by

The root mean square current fluctuation is given by

Next compute the geometric mean of and and call it ; this is the square root of the product:

From this expression Einstein argued that the displacement of a Brownian particle is not proportional to the elapsed time, but rather to its square root.

From the formula, we can see the standard deviation is proportional to the square root of the number of rounds played, while the expected loss is proportional to the number of rounds played.

He used it to calculate the derivative of as the composite of the square root function and the function.

where r = radius of gyration of cross-section which is equal to the square root of ( I / A ), K = ratio of the longest half sine wave to the actual column length, and KL

On average, the gas molecules move from the cold side toward the hot side whenever the pressure ratio is less than the square root of the ( absolute ) temperature ratio.

The set of constructible numbers can be completely characterized in the language of field theory: the constructible numbers form the quadratic closure of the rational numbers: the smallest field extension of which is closed under square root and complex conjugation.

Where calculators have additional functions such as square root, or trigonometric functions, software algorithms are required to produce high precision results.

Diophantus considered negative or irrational square root solutions " useless ", " meaningless ", and even " absurd ".

It is also necessary to decide which of the two elements is the more electronegative ( equivalent to choosing one of the two possible signs for the square root ).

The square root of this excess energy, Pauling notes, is approximately additive, and hence one can introduce the electronegativity.

* The standard deviation of an estimator of θ ( the square root of the variance ), or an estimate of the standard deviation of an estimator of θ, is called the standard error of θ.

and for an observer at a constant value of r, the rate at which a clock ticks, R ( r ), is the square root of the time coefficient, R ( r )= r.

In some sense they describe the “ square root ” of geometry and, just as understanding the square root of-1 took centuries, the same might be true of spinors.

* Leonhard Euler introduces the symbol i to represent the square root of-1.

* i is the imaginary unit, the square root of-1

This also generalizes nicely to represent function inverse for a power of-1 and functional square root for a power of 1 / 2.

His hand was large and square and heavily tanned.

At the heart of all of this was the square, which one such traveler declared to be `` as spacious, as pleasant and aromatick a Market as any in the Universe ''.

It is remembered and has been commemorated by a bust in a park and a square in the city which was renamed Piazzo Lauro Di Bosis after the war.

He was a square brick of a man with a moon-round face and sunken Polish features.

`` While Henry Morgan was escorting Miss Vera Green from the church social last Saturday night, a savage dog attacked them and bit Mr. Morgan on the public square ''.

From these dosage isopleths it can be seen that an area of over 34,000 square miles was covered.

As can be seen from these dosage isopleths, approximately 100 square miles was covered within the area sampled.

It was not always easy to develop theory and doctrine which would square the two conditions.

About 300 yards up the creek was a cluster of Mexican houses containing six rooms in the form of a square.

Having achieved this end, he was able to buy 116,000 square miles in the valleys of the Red and Assiniboine rivers.

In place of the police headquarters was a new square filled with rubble.

From the seventeenth to the nineteenth century it was a popular practice to flood the piazza in the summer, and the aristocrats would then ride around the inundated square in their carriages.

The great column from which the square takes its name was erected by the Emperor Marcus Aurelius.

Whoever it was had meant to shut him up in here, had followed him and waited till the courthouse and square were deserted.

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.

For the Lo Shu square was a remarkably complete compendium of most of the chief religious and philosophical ideas of its time.

Yet everywhere else sameness was stucco and wood in square blocks -- like fortresses perched against the slant of the hill, rising with the hill to the top where the church was and beyond that to the cemetery.

Moseley, after discussions with Bohr who was at the same lab ( and who had used Van den Broek's hypothesis in his Bohr model of the atom ), decided to test Van den Broek and Bohr's hypothesis directly, by seeing if spectral lines emitted from excited atoms fit the Bohr theory's demand that the frequency of the spectral lines be proportional to a measure of the square of Z.

The statue was placed in the square fronted by the cathedral.

These were differently sized in different countries, for instance, the historical French acre was 4, 221 square metres, whereas in Germany as many variants of " acre " existed as there were German states.

Historically, the size of farms and landed estates in the United Kingdom was usually expressed in acres ( or acres, roods, and perches ), even if the number of acres was so large that it might conveniently have been expressed in square miles.

The Falcons 78, 000 square foot headquarters and training facilities or located on a 50-acre site in Flowery Branch, Ga., the complex which was one of the first of its kind was completed in 1999.