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.

I discern no limits to a faith vested in God and Christ, who is the sum of all wisdom and knowledge, and daring to trust Him even though called to stand alone before the world.

Baruch Spinoza in " Principia philosophiae cartesianae " at its Prolegomenon identified " cogito ergo sum " the " ego sum cogitans " ( I am a thinking being ) as the thinking substance with his ontological interpretation.

Augustine of Hippo in De Civitate Dei writes Si fallor, sum (" If I am mistaken, I am ") ( book XI, 26 ), and also anticipates modern refutations of the concept.

In July 1604, Cervantes sold the rights of El ingenioso hidalgo don Quixote de la Mancha ( known as Don Quixote, Part I ) to the publisher-bookseller Francisco de Robles for an unknown sum.

The phrase " Cogito ergo sum " ( I think, therefore I am ) is also commonly associated with Descartes ' theory, because in his own methodological doubt, doubting everything he previously knew in order to start from a blank slate, the first thing that he could not logically bring himself to doubt was his own existence: " I do not exist " would be a contradiction in terms ; the act of saying that one does not exist assumes that someone must be making the statement in the first place.

The celebrated Pythagorean theorem ( book I, proposition 47 ) states that in any right triangle, the area of the square whose side is the hypotenuse ( the side opposite the right angle ) is equal to the sum of the areas of the squares whose sides are the two legs ( the two sides that meet at a right angle ).

From this doctrine arose the Epicurean epitaph: Non fui, fui, non sum, non curo ( I was not ; I was ; I am not ; I do not care ) – which is inscribed on the gravestones of his followers and seen on many ancient gravestones of the Roman Empire.

* nautā ( ablative ) " by / with / from / in sailor " various uses not covered by the above ( e. g. sum altior nautā I am taller than the sailor ).

The Ich bin ein Berliner speech is in part derived from a speech Kennedy gave at a Civic Reception on May 4, 1962, in New Orleans ; there also he used the phrase civis Romanus sum by saying " Two thousand years ago the proudest boast was to say, " I am a citizen of Rome.

Kant says that it is not possible to infer the ' I ' as an object ( Descartes ' Cogito ergo sum ) purely from " the spontaneity of thought ".

Stuart humorously wrote of his rapid courtship in Latin, " Veni, Vidi, Victus sum " ( I came, I saw, I was conquered ).

* The Descartes line, " I drink therefore I am ", is a twist on his well known phrase " Cogito, ergo sum ," or " I think therefore I am ".

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.

If, for example, we simply look at a curve in the real affine plane there might be singular P modulo the stalk, or alternatively as the sum of m ( m − 1 )/ 2, where m is the multiplicity, over all infinitely near singular points Q lying over the singular point P. Intuitively, a singular point with delta invariant δ concentrates δ ordinary double points at P. For an irreducible and reduced curve and a point P we can define δ algebraically as the length of where is the local ring at P and is its integral closure.

If we look at the incidence matrix, we see that the sum of each column is equal to 2.

For example, if a high gain antenna makes a 1 watt transmitter look like a 100 watt transmitter, then the beam can cover at most 1 / 100 of the sky ( otherwise the total amount of energy radiated in all directions would sum to more than the transmitter power, which is not possible ).

The season 2 episode " The Dream Sequence Always Rings Twice " could have been filmed much more cheaply by being shot in color and then decolorized, but Caron insisted on the authentic look of black-and-white film which took 16 days to shoot bringing the cost of the episode to then unheard of sum of two million dollars.

G ' Kar then easily disables Tu ' Pari and then arranges him to remain unconscious until after his commission's deadline while depositing a large sum of money in his account to make it look like he was bribed into violating his commitment.

Poirot is as convinced as Miss Marsh that there is either a second will or a sum of money hidden in the house and agrees to look for it.

If she wanted to borrow any sum of money in expecting the arrangements of Congress, it would not become a stranger, unknown to her, to offer himself for that purpose.

Why should Congress even consider allowing such a sum for that which can give no protection??

This sum spent for foreign economic aid, the peace corps, food for peace, or any other program to solve the problems of the underdeveloped countries would be an investment that would pay off in world peace, increased world trade, and prosperity for every country on the globe.

Determine the sum of the products obtained in item 8 above, for all the States.

Determine the ratio that the amount being allotted is to the sum of the products for all the States.

( 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.

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.

For example, the monthly bill of a residential consumer might be the sum of a $1 customer charge, a $5 charge for 250 kilowatt-hours of energy at

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.

She had quarreled with Lucien, she had resisted his demands for money -- and if she died, by the provisions of her marriage contract, Lucien would inherit legally not only the immediate sum of gold under the floorboards in the office, but later, when the war was over, her father's entire estate.

According to Stacy, she told him she was planning to remarry and she wanted him to ask Forbes for the lump sum.

He further proposed grants of an unspecified sum for experimental hospitals.

The mean is the only single number for which the residuals defined this way sum to zero.

* If it is required to use a single number X as an estimate for the value of numbers, then the arithmetic mean does this best, in the sense of minimizing the sum of squares ( x < sub > i </ sub > − X )< sup > 2 </ sup > of the residuals.

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 reason for the term " colloquially ", is that the sum or product of a " sequence " of cardinals cannot be defined without some aspect of the axiom of choice.

Anarcho-capitalists argue for a society based on the voluntary trade of private property and services ( in sum, all relationships not caused by threats or violence, including exchanges of money, consumer goods, land, and capital goods ) in order to minimize conflict while maximizing individual liberty and prosperity.

It turns out that a more suitable quantity for updating is the sum of squares of differences from the ( current ) mean,, here denoted:

Therefore no complete system, i. e. including the electromagnetic modes, can have negative temperatures, since there is no highest energy state, so that the sum of the probabilities of the states would diverge for negative temperatures.

The figure shows how Hawala works: ( 1 ) A customer ( A, left-hand side ) approaches a hawala broker ( X ) in one city and gives a sum of money ( red arrow ) that is to be transferred to a recipient ( B, right-hand side ) in another, usually foreign, city.

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.

If a crest of a wave meets a crest of another wave of the same frequency at the same point, then the magnitude of the displacement is the sum of the individual magnitudes – this is constructive interference.

The key to the theory of the game is the binary digital sum of the heap sizes, that is, the sum ( in binary ) neglecting all carries from one digit to another.

The pope's agents also now sold not simply a vacant benefice but the expectation of one ; and when an expectation had been sold, if another offered a larger sum for it, the pope voided the first sale.

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

Thus, a country with an excess of bananas trading with another country for their excess of apples, where both benefit from the transaction, is in a non-zero – sum situation.

To explain such patterns, one might conclude, per Aristotle, that emergent structures are more than the sum of their parts on the assumption that the emergent order will not arise if the various parts simply interact independently of one another.

In 2003, Diaz received another Golden Globe nomination for Martin Scorsese's 2002 epic Gangs of New York, and became the third actress ( after Wedding costar Julia Roberts ) to earn $ 20 million for a role, receiving the sum for Charlie's Angels: Full Throttle.

For example, when the trial consists of throwing two dice, the set of all outcomes with a sum of 7 pips may constitute an event, whereas outcomes with an odd number of pips may constitute another event.

The addition operation is continuous at 0 if and only if for every neighborhood U of 0 there exists another neighborhood V of 0 such that the Minkowski addition | Minkowski sum V + V is contained in U.

In sum, Morgan and Sorensen's ( 1999 ) study implies that social capital is contextualised, one kind of social capital may be positive in this setting but is not necessarily still positive in another setting.

In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integer part and another reciprocal, and so on.

The sum of the positive divisors of is another multiplicative function ( e. g. ).

In return for outlawing the slave trade, Madagascar received what the treaty called " The Equivalent ": an annual sum of a thousand dollars in gold, another thousand in silver, stated amounts of gunpowder, flints, and muskets, plus 400 surplus British Army uniforms.

The sum, product, or difference of any two dyadic fractions is itself another dyadic fraction:

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.

" The next year ( 106 BC ) another consul, Quintus Servilius Caepio, marched to Gaul and captured the disloyal community of Tolosa ( Toulouse ), where a huge sum of money ( the Gold of Tolosa ), was taken from shrines.

" Again in solving this problem, he reduces it to another geometric problem: " find a right triangle having the property that the hypotenuse equals the sum of one leg ( i. e. side ) plus the altitude on the hypotenuse.

The bomber informs him that another bus is rigged with a bomb that activated when the bus exceeds 50 miles per hour and then will detonate when it falls below that, demands a larger sum of money to deactivate the device, and warns that trying to remove the passengers will cause him to set off the bomb.