On another occasion, Crowe donated a large sum of money ($ 200, 000 ) to a struggling primary school near his home in rural Australia.

A secondary color is formed by the sum of two primary colors of equal intensity: cyan is green + blue, magenta is red + blue, and yellow is red + green.

The total pyroelectric coefficient measured at constant stress is the sum of the pyroelectric coefficients at constant strain ( primary pyroelectric effect ) and the piezoelectric contribution from thermal expansion ( secondary pyroelectric effect ).

K – 12 ( pronounced " k twelve ", " k through twelve ", or " k to twelve ") is a designation for the sum of primary and secondary education.

Two of the larger factors are: quantum efficiency, which indicates how well incident optical photons are absorbed and then used to generate primary charge carriers ; and total leakage current, which is the sum of the dark current and photocurrent and noise.

Peel Clothworkers ' School is a primary school on Derby Road, which was founded in the 17th century after Philip Christian, a successful expatriate Peel businessman, bequeathed a sum of money in his will to provide for the education of the children in Peel.

Renzi outspent his primary opponents by a substantial sum of money.

The sum of the three scores is known as the Selection Index and is used, along with four general criteria for eligibility such as U. S. citizenship ( or be a U. S. lawful permanent resident or have applied for permanent residence, the application for which has not been denied, and intend to become a U. S. citizen at the earliest opportunity allowed by law ), for both preliminary and primary selection in the National Merit Scholarship Programs.

As executor of the will of the Reverend Chauncy Hare Townshend ( the author of several volumes of poetry ), she, with the Reverend Thomas Helmore ( another poet ), used a large sum from Townshend's estate, at his request, to build a primary school in Westminster.

Huygens postulated that every point on a primary wavefront acts as a source of spherical secondary wavelets and the sum of these secondary waves determines the form of the wave at any subsequent time.

It is based on the fact that the vector space can be canonically decomposed into a direct sum of stable subspaces corresponding to the distinct irreducible factors P of the characteristic polynomial ( as stated by the lemme des noyaux ), where the characteristic polynomial of each summand is a power of the corresponding P. These summands can be further decomposed, non-canonically, as a direct sum of cyclic F-modules ( like is done for the Frobenius normal form above ), where the characteristic polynomial of each summand is still a ( generally smaller ) power of P. The primary rational canonical form is a block diagonal matrix corresponding to such a decomposition into cyclic modules, with a particular form called generalized Jordan block in the diagonal blocks, corresponding to a particular choice of a basis for the cyclic modules.

After examining the primary documents he concludes: " In sum, the only formal and well-attested Council of Sirmium during the reign of Constantius is the council of 351 which condemned Athanasius, Marcellus, and Photinus and promulgated the creed which was subsequently presented to the Councils of Arles and Milan.

The total load on a particular section of a ship's hull is the sum total of all primary, secondary, and tertiary loads imposed on it from all factors.

The great utility in creating CPUs that deal with vectors of data lies in optimizing tasks that tend to require the same operation ( for example, a sum or a dot product ) to be performed on a large set of data.

) The length of a process that can be thought of as a sequence of several independent tasks is better modeled by a variable following the Erlang distribution ( which is the distribution of the sum of several independent exponentially distributed variables ).

If the numbers of agents and tasks are equal and the total cost of the assignment for all tasks is equal to the sum of the costs for each agent ( or the sum of the costs for each task, which is the same thing in this case ), then the problem is called the linear assignment problem.

Thus, Charles S. Maier suggests that a political economy approach: " interrogates economic doctrines to disclose their sociological and political premises .... in sum, regards economic ideas and behavior not as frameworks for analysis, but as beliefs and actions that must themselves be explained.

Mr. Alexander H. Wheelan's Study Helps In Point And Figure Technique tells the readers: `` We assure you that the total number of people using this method of market analysis is a very small portion of the sum total of those operating in the securities and commodities markets ''.

Thus the analysis using Newton's laws of motion can proceed as if the reference frame was inertial, provided the fictitious force terms are included in the sum of external forces.

Fourier analysis grew from the study of Fourier series, and is named after Joseph Fourier, who showed that representing a function as a sum of trigonometric functions greatly simplifies the study of heat propagation.

Given that estimation is undertaken on the basis of a least squares analysis, estimates of the unknown parameters β < sub > j </ sub > are determined by minimising a sum of squares function

This understanding is particularly useful for mathematical analysis, because the object's motion can be described as the sum of the three one-dimensional coordinates oscillating around a gravitational center.

Pursuing this type of analysis more carefully, Hardy and Littlewood in 1923 conjectured ( as part of their famous Hardy – Littlewood prime tuple conjecture ) that for any fixed c ≥ 2, the number of representations of a large integer n as the sum

For example, in Fourier analysis, functions are expressed in terms of a certain infinite sum of trigonometric functions.

In numerical analysis, a quadrature rule is an approximation of the definite integral of a function, usually stated as a weighted sum of function values at specified points within the domain of integration.

* Fourier series, a weighted sum of sinusoids having a common period, the result of Fourier analysis of a periodic function

They cannot be regarded as indulging in a zero sum competition which a purely political analysis might have suggested.

A < em > global </ em > criterion is that the sum of errors on all the intervals should be less than t. This type of error analysis is usually called " a posteriori " since we compute the error after having computed the approximation.

We can convert this into an error analysis for the Riemann sum (*), giving an upper bound of

) Using more derivatives, and by tweaking the quadrature, we can do a similar error analysis using a Taylor series ( using a partial sum with remainder term ) for f. This error analysis gives a strict upper bound on the error, if the derivatives of f are available.

In regression analysis, the term mean squared error is sometimes used to refer to the estimate of error variance: residual sum of squares divided by the number of degrees of freedom.

Using Fourier analysis, periodic waveforms are represented as the sum of an infinite series of sine waves.

In linear regression analysis, one is concerned with partitioning variance via the sum of squares calculations-variance in the criterion is essentially divided into variance accounted for by the predictors and residual variance.

In logistic regression analysis, deviance is used in lieu of sum of squares calculations.

This analysis consists of computation of item difficulties and item discrimination indices, the latter index involving computation of correlations between the items and sum of the item scores of the entire test.

Latent class analysis and k-means analysis may be viewed as identifying new variables that maximize the sum of mutual information between the segmentation variable and a set of basis variables.

In mathematics, specifically functional analysis, Mercer's theorem is a representation of a symmetric positive-definite function on a square as a sum of a convergent sequence of product functions.

a maximal function ), Stein complementary series representations, Nikishin – Pisier – Stein factorization in operator theory, the Tomas – Stein restriction theorem in Fourier analysis, the Kunze – Stein phenomenon in convolution on semisimple groups, the Cotlar – Stein lemma concerning the sum of almost orthogonal operators, and the Fefferman – Stein theory of the Hardy space and the space of functions of bounded mean oscillation.

Assessors in Rhode Island are charged not only with placing a valuation upon real and personal property, but they also have the responsibility to raise by a tax `` a sum not less than nor more than '' a specified amount as ordered by a city council or financial town meeting.

We are trying to study a linear operator T on the finite-dimensional space V, by decomposing T into a direct sum of operators which are in some sense elementary.

If ( remember this is an assumption ) the minimal polynomial for T decomposes Af where Af are distinct elements of F, then we shall show that the space V is the direct sum of the null spaces of Af.

These theoretical relationships are more clearly illustrated in Fig. 7 and their sum can be seen to correlate in form with practical measurements made with the Hesiometer as illustrated in the first portion of Fig. 5 for the cutting mechanism.

and the latter is the total sum of all the numbers in the square, by which all the other numbers are overshadowed and in which they may be said to be absorbed.

In sum, the idea was that Turkic, Mongolic, and Tungusic form a Sprachbund – the result of convergence through intensive borrowing and long contact among speakers of languages that are not necessarily closely related.

The sum, difference and product of algebraic integers are again algebraic integers, which means that the algebraic integers form a ring.

Architects ' fee structures are typically based on a percentage of construction value, hourly rates or a fixed lump sum fee.

Restaurants specializing in Cantonese, Sichuanese, Hunanese, Northern Chinese, Shanghainese, Taiwanese, and Hong Kong traditions are widely available, as are more specialized restaurants such as seafood restaurants, Hong Kong-style diners and cafes ( also known as Cha chaan teng ( 茶餐廳 chácāntīng )), dim sum teahouses, and hot pot restaurants.

The names of foods are different as well, such as Manapua, from Hawaiian meaning " chewed up pork " for dim sum bao, though the meat is not necessarily pork.

Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number.

For example, the smallest pair of amicable numbers is ( 220, 284 ); for the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110, of which the sum is 284 ; and the proper divisors of 284 are 1, 2, 4, 71 and 142, of which the sum is 220.

This shows in particular that is a natural number for any natural numbers n and k. There are many other combinatorial interpretations of binomial coefficients ( counting problems for which the answer is given by a binomial coefficient expression ), for instance the number of words formed of n bits ( digits 0 or 1 ) whose sum is k is given by, while the number of ways to write where every a < sub > i </ sub > is a nonnegative integer is given by.

According to the theorem, it is possible to expand the power ( x + y )< sup > n </ sup > into a sum involving terms of the form ax < sup > b </ sup > y < sup > c </ sup >, where the exponents b and c are nonnegative integers with, and the coefficient a of each term is a specific positive integer depending on n and b. When an exponent is zero, the corresponding power is usually omitted from the term.

The collects of the Breviary are largely drawn from the Gelasian and other Sacramentaries, and they are used to sum up the dominant idea of the festival in connection with which they happen to be used.

In 3 dimensions, a differential 0-form is simply a function f ( x, y, z ); a differential 1-form is the following expression: a differential 2-form is the formal sum: and a differential 3-form is defined by a single term: ( Here the a-coefficients are real functions ; the " wedge products ", e. g. can be interpreted as some kind of oriented area elements,, etc.

Contrast that to a P2P network, where its aggregated bandwidth actually increases as nodes are added, since the P2P network's overall bandwidth can be roughly computed as the sum of the bandwidths of every node in that network.

However, a rotating frame can be treated as if it were an inertial frame so that Newton's laws can be used if so-called fictitious forces ( also known as inertial or pseudo-forces ) are included in the sum of external forces on an object.