Sentences with phrase «as square root»

If the drunk starts out at the light pole and at every time step takes a fixed distance step in a random direction, the expected value of his distance from the light pole increases as the square root of time.

As an example, when averaging, signal - to - noise ratio increases as the square root of the number of samples that are being averaged together because white noise has an average of zero.

The problem with this assumption is that, without any external driver, due to random inputs and outputs, the atmospheric concentration would then effectively vary as a random walk, with the dispersion increasing as the square root of time.

As you can see, we can't trust any individual data point to better than + / - 5 degs yet by taking the average of 100 data points the error drops by an order of magnitude to (The error falls as the square root of the number of data points) to give an accuracy of a fraction of a degree.

This seems to an engineer as the square root of bugger all!

If you are interested in the variance of the mean, in other words how precisely you can believe you know the mean value, that improves as the square root of the number of measurements.

Standard deviation is calculated as the square root of variance.

The Default Layout features a standard 10 - key calculator in portrait mode and scientific calculator in landscape mode with advanced functions such as square root, exponents, factorials, and more.

The higher the variability, the greater the SD, and it is defined as the square root of the variance.

Because of the very complex - square - root topology near an exceptional point, the frequency - splitting, which is the sensing signal, is represented mathematically as the square root of the perturbation strength.

They looked unlike any known modular forms, but he stated that their outputs would be very similar to those of modular forms when computed for the roots of 1, such as the square root -1.

Not exact matches

He's often approached by young people who can articulate problems with the industrial food system, but are frustrated because they don't know what to do about it, according to Tobias Peggs, who will serve as CEO of Square Roots.

Bezos has expanded his influence in the District as the owner of The Washington Post, and he's putting down roots with the purchase of a 27,000 - square - foot property in the posh Kalorama neighborhood that he intends to convert into a single - family home.

Calculate daily realized volatility of IEF as the standard deviation of daily total returns over the past 21 trading days, multiplied by the square root of 252 to annualize.

«Identifying VXX / XIV Tendencies» finds that the Volatility Risk Premium (VRP), estimated as the difference between the current level of the S&P 500 implied volatility index (VIX) and the annualized standard deviation of S&P 500 Index daily returns over the previous 21 trading days (multiplying by the square root of 250 to annualize), may be a useful predictor of iPath S&P 500 VIX Short - term Futures ETN (VXX) and VelocityShares Daily Inverse VIX Short - term ETN (XIV) returns.

If you assume that the mass was all electromagnetic or that it all behaved in the same way as electromagnetic (which was perhaps suggested by cathode ray experiments which showed that the ratio of e by m actually went as 1 divided by the square root of 1 - v2 / c2, then it follows that particles get heavier in this ratio.

You could have said that the effective mass was equal to the mechanical mass plus some sort of electromagnetic mass, which had the property of increasing with the velocity in the ratio of 1 divided by the square root of 1 - v2 / c2, because as the field gets stronger the whole system contracts.

As to method, the older view was rooted in the traditional ecclesiastical theory of Mark's derivation from Matthew — which modern Synoptic study completely reverses — and it took for granted a conception of «Paulinism» which made the Apostle to the Gentiles responsible for everything in primitive Christianity which could not be squared with a crass, reactionary Christian Judaism; it completely ignored the development of a Gentile type — or types — of Christianity apart from and even prior to the work of Paul.

• thought - sequencing process, such as the instruction for parsing the grammar of a statement or performing long division or the extraction of a square root.

As for the square root thing, the reason is that, if voters are considered as independent random Bernoulli variables, the probability of an exact tie (which can be broken by a single voter) is O (1 / √ n), where n is populatioAs for the square root thing, the reason is that, if voters are considered as independent random Bernoulli variables, the probability of an exact tie (which can be broken by a single voter) is O (1 / √ n), where n is populatioas independent random Bernoulli variables, the probability of an exact tie (which can be broken by a single voter) is O (1 / √ n), where n is population.

As we mentioned in the article, they are really square roots of probabilities.

«If one can get a circuit to do something so arbitrary and alien to chemistry as computing the discrete square root, then probably one can get DNA circuits to do anything.»

Structures for crambin obtained from simulated NMR data were used as the test system; the root - mean - square deviations of the NMR structures from the x-ray structure were 1.5 to 2.2 Å for backbone atoms and 2.0 to 2.8 Å for side - chain atoms.

So every real number is rational in the surreal system, even the square root of 2 — just write it as (√ 2ω) / ω.

(According to myth, when the Greek philosopher Pythagoras proved that the square root of 2 could not be written as the quotient of two integers, he was so disappointed he threw himself off a cliff.)

The rationals aren't closed under algebraic functions such as taking square roots.

When asked how this squared with the environmentalist message of the Vivienne Westwood label, he suggested that people should only buy the things they really want, waiting a day between the initial impulse and the actual purchase (This made sense as it isn't vanity per se that is the root of fashion's environmental problem, but overconsumption.)

We thus transformed each of these variables prior to analysis (using square root and logarithmic transformations as each case required).

Square Enix's decision to separate the game into several episodes and market the game as a «Season» may interrupt with the storytelling of the game, but it also takes the game back to its roots, putting you in a sandbox full of opportunities and choices.

HSA.REI.B.4 b Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation.

This is a useful as a quick starter activity in which students have to square, cube or find the root of common integers.

For example, a standard related to identifying the topic sentence may be arguably met as an isolated element, whereas a standard related to calculating square roots must be bundled with other math building blocks.

Assess your students» ability to solve quadratic equations by inspection, taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation with this quiz.

It has 55 slides concentrating on the aspects of Index Laws - Square and Cube Numbers - Square and Cube Roots - Multiplying and Dividing simple indices - With whole numbers as well - Indices with brackets - Negative and fractional Indices

It recaps the skills required such as solving, factorising and completing the square on a quadratic and then develops these skills to find roots and turning points of an equation.

For example, at the middle school level you might include cards that reinforce skills such as squares, square roots, decimals, fractions, mixed numbers, integers, percents A sample of cards at grade 5 might include the following:

Includes 32 lessons focusing on Square Roots, Slope as Rate of Change, Solving Multi-Step Equations, Graphing Linear Equations, Dilations, Pythagorem, and much more.Each hands - on, standards - focused lesson uses one or more of the following most common manipulatives: Algebra Tiles ™, AngLegs ®, Centimeter Cubes, Color Tiles, Folding Number Lines, Pattern Blocks, and XY Coordinate Pegboards.

It may be that some concepts in mathematics, such as how to take a square root, are best taught through direct, traditional instruction.

Includes 32 lessons focusing on Square Roots, Slope as Rate of Change, Solving Multi-Step Equations, Graphing Linear Equations, Dilations, Pythagorem, and much more.

INCLUDES 1 Hands - On Standards Math Teacher Resource Guide Grade 8 with 27 lessons TOPICS The Number System Approximating square roots Irrational square roots Expressions and Equations Squares and square roots Cube roots Slope as a rate of change Problem solving with rates of change One, No, or infinitely many solutions Solving multi-step equations Solving equations with variables on both sides Solving systems of equations Functions Graphing linear equations Linear functions Lines in slope - intercept form Symbolic algebra Constructing functions Geometry Congruent figures and transformations Reflections, translations, rotations, and dilations Triangle sum theorem Parallel lines transected by a transversal Pythagorean theorem Statistics and Probability Scatter plot diagrams Line of best fit Making a conjecture using a scatter plot

This doesn't need to be a formal introduction to square roots, as the idea is presented geometrically.

This lesson covers many ways to solve quadratics, such as taking square roots, completing the square, and using the Quadratic Formula.

Most startling of all, for the survivors and rescue workers both, was the realization that the main dusty square was rooted so firmly by half a dozen massive trees, trees that had gone all but unnoticed in all those years, their shadows dingy with commerce, their branches cranked low with hanging wares, their droppings of mulberry collected and sold — until the bomb had loosened the green gums of the trees and sent down a shower of leaves, which Mr. Khurana kicked up on the ground as he tried to uncover the bodies of his two sons.

Here is the formula used: Sortino is same as Sharpe except its denominator is the annualized downside deviation, which only uses monthly returns falling below TBill average, as shown here: Finally, Martin, which uses same numerator as Sharpe and Sortino, excess return relative to TBill, but it uses the Ulcer Index (UI) for the denominator, which is the square root of the mean of the squared percentage draw downs in value.

Finally, Martin, which uses same numerator as Sharpe and Sortino, excess return relative to TBill, but it uses the Ulcer Index (UI) for the denominator, which is the square root of the mean of the squared percentage draw downs in value.

For implied volatility it is okey to use Black and scholes but what to do with the historical volatility which carry the effect of past prices as a predictor of future prices.And then precisely the conditional historical volatility.i suggest that you must go with the process like, for stock returns 1) first download stock prices into excel sheet 2) take the natural log of (P1 / po) 3) calculate average of the sample 4) calculate square of (X-Xbar) 5) take square root of this and you will get the standard deviation of your required data.

As a short cut, many traders will use 16, since it is a whole number when solving for the square root of 256.)

The square root of variance, or standard deviation, has the same unit form as the data series being analyzed and is such more commonly used to measure risk.

The Levy - Gunthorpe standard deviation is superior to calculating the annualized standard deviation of returns as the product of the standard deviation of the monthly returns multiplied by the square root of 12.

True to its Club Med roots, there are plenty of diversions, with four restaurants, as many tennis courts, an archery range, a 12,000 - square - foot swimming pool, and a new thalassotherapy spa.