When I first came across Samuel Johnson's pronouncement, `` the remedy for the ills of life is palliative rather than radical '', it seemed to me to sum up the profoundest of political and social truths.

Authorities hesitate to quote exact figures, however, believing that any sum they come up with is only a surface manifestation -- turned up by their inevitably limited policing -- of the real loot of the medical racketeer.

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.

During the course of his lifetime Sloane gathered an enviable collection of curiosities and, not wishing to see his collection broken up after death, he bequeathed it to King George II, for the nation, for the princely sum of £ 20, 000.

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.

To sum things up, the use of money in trading all goods ( capital / labor and consumer ) in all markets ( spot and financial ) combined with profit driven entrepreneurship and Darwinian natural selection in financial markets all combine to make rational economic calculation and allocation the outcome of the capitalist process.

The electric charge of a macroscopic object is the sum of the electric charges of the particles that make it up.

The sum and whole cause of the writings of this epistle, is, to prove that a man is justified by faith only: which proposition whoso denieth, to him is not only this epistle and all that Paul writeth, but also the whole scripture, so locked up that he shall never understand it to his soul's health.

This accord, which has been repeatedly extended up to the present day, provides for the television companies to make available an annual sum to support the production of films which are suitable for both theatrical distribution and television presentation.

Sir Nicholas had laid up a considerable sum of money to purchase an estate for his youngest son, but he died before doing so, and Francis was left with only a fifth of that money.

For the sake of simplicity, we might assume that the weights are normalized so that they sum up to 1 ( which can be easily done by dividing each weight by their sum ), thus allowing some terms in the above formulae to be omitted:

In mid-1848, President Polk authorized his ambassador to Spain, Romulus Mitchell Saunders, to negotiate the purchase of Cuba and offer Spain up to $ 100 million, an astounding sum at the time for one territory, equal to $ in present day terms.

He wrote a consort piece with the punning title " Semper Dowland, semper dolens " ( always Dowland, always doleful ), which may be said to sum up much of his work.

Similarly, the opportunity cost of attending university is the lost wages a student could have earned in the workforce, rather than the cost of tuition, books, and other requisite items ( whose sum makes up the total cost of attendance ).

This is because any simple n-gon can be considered to be made up of triangles, each of which has an angle sum of π radians or 180 degrees.

Like all triangular numbers, it is the sum of all natural numbers up to a certain point ; in this case: Furthermore, any even perfect number except the first one is the centered nonagonal number as well as the sum of the first odd cubes:

To sum up: Wittgenstein asserts that, if something is a language, it cannot be ( logically ) private ; and if something is private, it is not ( and cannot be ) a language.

When he was convinced that he might do so, he offered to give up the papacy into the hands of his godfather for a large sum of money.

For instance, Amr ibn al-As, after conquering Egypt, set up a census to measure the population for the jizya, and thus the total expected jizya revenue for the whole province, but organized the actual collection by partitioning the population into wealth classes, so that the rich paid more and the poor less jizya of that total sum.

In quantum computation, on the other hand, allowed operations are unitary matrices, which are effectively rotations ( they preserve that the sum of the squares add up to one, the Euclidean or L2 norm ).

where the's sum up to 1, and in the infinite dimensional case, we would take the closure of such states in the trace norm.

" The structure of a dissertation consists in an introduction that elucidates the basic definitions involved in the question as set, followed by an argument or thesis, a counter-argument or antithesis, and a resolving argument or synthesis that is not a compromise between the former but the production of a new argument, ending with a conclusion that does not sum up the points but opens onto a new problem.

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.

Then we can express the variables as the sum of the ( time averaged ) mean field () that varies in space and a small fluctuating field () that varies in space and time.

Similarly, if light consisted strictly of classical particles and we illuminated two parallel slits, the expected pattern on the screen would simply be the sum of the two single-slit patterns.

The Euler – Maclaurin formula provides expressions for the difference between the sum and the integral in terms of the higher derivatives ƒ < sup >( k )</ sup > at the end points of the interval m and n. Explicitly, for any natural number p, we have

If we allow to incorporate the algebraic sign, this becomes a sum and implies that there is a function of state which is conserved over a complete cycle.

They might have some value, but when we consider the total value of a consciousness experiencing a beautiful object, it seems to exceed the simple sum of these values ( Principia 18: 2 ).

Let now x ' and y ' be tuples of previously unused variables of the same length as x and y respectively, and let Q be a previously unused relation symbol which takes as many arguments as the sum of lengths of x and y ; we consider the formula

Furthermore, for a sequence of positive weights with sum we can define weighted power means as follows:

Note that we have to restrict the sum to ordered values of m < sub > 1 </ sub >, ..., m < sub > N </ sub > to ensure that we do not count each multi-particle state more than once.

René Descartes, with " je pense donc je suis " or " cogito ergo sum " or " I think, therefore I am ", argued that " the self " is something that we can know exists with epistemological certainty.

To convert this ratio to the equivalent percentage, we add these two numbers together and then divide the cost of the call by this sum.

To get the percentage, we add $ 30 and $ 10 to get a sum of $ 40 and then divide $ 10 by $ 40, giving us 1 / 4, or 25 %.

If then we obtain a contradiction, because the sum does not exceed which is finite.

From this we learn that, although Pius's defenders still say that he paid a golden ransom in a vain effort to save Rome's Jews from transportation to the death camps, the most he did was indicate a willingness to chip in if the Jews could not raise the sum demanded.

The simplest case would be two electrons starting at A and B ending at C and D. The amplitude would be calculated as the " difference ",, where we would expect, from our everyday idea of probabilities, that it would be a sum.

Consider a wave function that is a sum of many waves, however, we may write this as

Upon a review of the finance of the last five years, we are enabled to state that, notwithstanding the purchase of the telegraphs for a sum exceeding 9, 000, 000l., the aggregate amount of the national debt has been reduced by more than 20, 000, 000l.

Since this quantity goes to infinity as n increases, we expect that every large even integer has not just one representation as the sum of two primes, but in fact has very many such representations.

As a result of this definition, we can conclude that the total gain of an antenna is the sum of partial gains for any two orthogonal polarizations.

As we increase the length of the interval on which we calculate the Fourier series, then the Fourier series coefficients begin to look like the Fourier transform and the sum of the Fourier series of ƒ begins to look like the inverse Fourier transform.