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Page "Alaric I" ¶ 19
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sum and which
Why should Congress even consider allowing such a sum for that which can give no protection??
( Each State's unadjusted allotment for any fiscal year, which exceeds its minimum allotment described in item 13 below by a percentage greater than one and one-half times the percentage by which the sum being allotted exceeds $23,000,000, must be reduced by the amount of the excess.
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.
Then every linear operator T in V can be written as the sum of a diagonalizable operator D and a nilpotent operator N which commute.
The several trials of a binomial experiment produce a new random variable X, the total number of successes, which is just the sum of the random variables associated with the single trials.
Their sum is X, the total number of successes, which in this experiment has the value Af.
If one takes the middle number, 5, and multiplies it by 3 ( the base number of the magic square of three ), the result is 15, which is also the constant sum of all the rows, columns, and two main diagonals.
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.
it is also their mathematical mean, since it is equal to half the sum of every opposing pair, all of which equal 10.
The mean is the only single number for which the residuals defined this way sum to zero.
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.
The sum, difference, product and quotient of two algebraic numbers is again algebraic ( this fact can be demonstrated using the resultant ), and the algebraic numbers therefore form a field, sometimes denoted by A ( which may also denote the adele ring ) or < span style =" text-decoration: overline ;"> Q </ span >.
The sum, difference and product of algebraic integers are again algebraic integers, which means that the algebraic integers form a ring.
On May 23, 1845, Abby May was granted a sum from her father's estate which was put into a trust fund, granting minor financial security.
After describing the manifestation of the Gospel in the Ogdoad and Hebdomad, he adds that the Basilidians have a long account of the innumerable creations and powers in the several ' stages ' of the upper world ( diastemata ), in which they speak of 365 heavens and say that " their great archon " is Abrasax, because his name contains the number 365, the number of the days in the year ; i. e. the sum of the numbers denoted by the Greek letters in ΑΒΡΑΣΑΞ according to the rules of isopsephy is 365:
Thus, if P is a program in L < sub > 2 </ sub > which is a minimal description of s, then InterpretLanguage ( P ) returns the string s. The length of this description of s is the sum of
Each æstel was worth the princely sum of 50 mancuses, which fits in well with the quality workmanship and expensive materials of the Alfred jewel.
where p is the frequency of one allele and q is the frequency of the alternative allele, which necessarily sum to unity.
A related concept is that of a perfect number, which is a number which equals the sum of its own proper divisors, in other words a number which forms an aliquot sequence of period 1.
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.

sum and named
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.
Technically, a Hundi is an unconditional order in writing made by a person directing another to pay a certain sum of money to a person named in the order.
: A story tells that after the death of Moses de Leon, a rich man of Avila named Joseph offered Moses ' widow ( who had been left without any means of supporting herself ) a large sum of money for the original from which her husband had made the copy.
Simon owed a great sum of money to Thomas II of Savoy, uncle of Queen Eleanor, and named King Henry as security for his repayment.
In physical chemistry, the van der Waals force ( or van der Waals interaction ), named after Dutch scientist Johannes Diderik van der Waals, is the sum of the attractive or repulsive forces between molecules ( or between parts of the same molecule ) other than those due to covalent bonds, the hydrogen bonds, or the electrostatic interaction of ions with one another or with neutral molecules.
While in that city the bishop was named as one of the guarantors of a new financial arrangement between the king and the pope dealing with feudal payments from England, which lowered the lump sum that had to be paid before Innocent would lift the interdict.
The John and Aileen O ` Reilly Library at Dublin City University was named in honour of his parents, as the O ` Reilly Foundation contributed a substantial sum to the library's capital costs in 2000.
A horse dealer named Philonicus the Thessalian offered Bucephalus to King Philip II for the sum of 13 talents, but because no one could tame the animal, Philip was not interested.
* Book 1 contains Euclid's 10 axioms ( 5 named postulates — including the parallel postulate — and 5 named axioms ) and the basic propositions of geometry: the pons asinorum ( proposition 5 ), the Pythagorean theorem ( Proposition 47 ), equality of angles and areas, parallelism, the sum of the angles in a triangle, and the three cases in which triangles are " equal " ( have the same area ).
The theorem is named after Thales because he was said by ancient sources to have been the first to prove the theorem, using his own results that the base angles of an isosceles triangle are equal, and that the sum of angles in a triangle is equal to two right angles.
: " Does the sole right to vend ( named in 4952 ) secure to the owner of the copyright the right, after a sale of the book to a purchaser, to restrict future sales of the book at retail, to the right to sell it at a certain price per copy, because of a notice in the book that a sale at a different price will be treated as an infringement, which notice has been brought home to one undertaking to sell for less than the named sum?
In mathematics, the Gibbs phenomenon, named after the American physicist J. Willard Gibbs, is the peculiar manner in which the Fourier series of a piecewise continuously differentiable periodic function behaves at a jump discontinuity: the nth partial sum of the Fourier series has large oscillations near the jump, which might increase the maximum of the partial sum above that of the function itself.
* On the band tool ’ s album, Ænima, there is a song named Forty-Six & 2 ; the sum of which is 48.
The two players take turns naming positive integers that are not the sum of nonnegative multiples of previously named integers.
In the slums of Athkatla, a man named Gaelan Bayle offers the party the help of associates of his, who can rescue Imoen for a large sum.
The centre has a range of patrons, notably Sage Group which contributed a large sum of money to have the building named after it.
In mathematics, Chebyshev's sum inequality, named after Pafnuty Chebyshev, states that if
The University is named after Dr. Horace Brinsmade Silliman, a retired businessman and philanthropist from Cohoes, New York who gave the initial sum of $ 10, 000 to start the school.
Technically, a Hundi is an unconditional order in writing made by a person directing another to pay a certain sum of money to a person named in the order.
The sum center, officially named Tsengel (), is located 64 km east-southeast of Mörön and 607 km from Ulaanbaatar.
On a whim, Moist von Lipwig named her as one of the gods responsible for his " miraculous " recovery of a large sum of buried money that he had in fact himself buried: since belief is what empowers Discworld gods, she benefited tremendously from the resulting surge of believers.

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