That is how the real routine of resistance goes on, and its strength is directly proportionate to the number of insignificant people who can let themselves be taken to pieces, piece by piece, without quitting.

In mathematics, the absolute value ( or modulus ) of a real number is the numerical value of without regard to its sign.

For any real number the absolute value or modulus of is denoted by ( a vertical bar on each side of the quantity ) and is defined as

An example of such a number is the unique real root of the polynomial ( which is approximately 1. 167304 ).

In mathematics, the unit square is defined to have area one, and the area of any other shape or surface is a dimensionless real number.

In analytic geometry, the plane is given a coordinate system, by which every point has a pair of real number coordinates.

Since various Molly Pitcher tales grew in the telling, many historians regard Molly Pitcher as folklore rather than history, or suggest that Molly Pitcher may be a composite image inspired by the actions of a number of real women.

( i may be an integer for a discrete-time process or a real number for a continuous-time process.

In number theory, an arithmetic, arithmetical, or number-theoretic function is a real or complex valued function ƒ ( n ) defined on the set of natural numbers ( i. e. positive integers ) that " expresses some arithmetical property of n ."

Thus, a single " rule ," like mapping every real number x to x < sup > 2 </ sup >, can lead to distinct functions and, depending on whether the images under that rule are understood to be reals or, more restrictively, non-negative reals.

The data is often found to contain considerable variability, or noise, and thus Hidden Markov model and change-point analysis methods are being developed to infer real copy number changes.

* Since Big Brother 2, the UK series always opens with a twist which have included the public being able to choose the final housemate out of three possibilities ( Big Brother 2 ), the public voting for a housemate to leave during the first week and then the housemates choosing between the two housemates with the least number of votes ( Big Brother 3 ), First Night Nominations ( Big Brother 4 ), Suitcase Nominations ( Big Brother 5 ), Unlucky Housemate 13 ( Big Brother 6 ), Big Brother Hood ( Big Brother 7 ), an all-female House and the first inclusion of twins as contestants ( Big Brother 8 ), the first couple to enter as housemates and set a secret task to hide their real relationship ( Big Brother 9 ), all " housemates " really being " non-housemates " who had to earn their housemate status ( Big Brother 10 ), a mole entering the House with an " Impossible Task " ( Big Brother 11 ), Jackie Stallone entering a house containing her son's ex-wife ( Celebrity Big Brother 3 ), the entrance of a non-celebrity in a celebrity edition ( Celebrity Big Brother 4 ) and Jade Goody's family announced to be visiting.

If A is a self-adjoint operator, then is always a real number ( not complex ).

for an arbitrary real or complex number α ( the order of the Bessel function ); the most common and important cases are for α an integer or half-integer.

for every integer r ≥ 0 and every real number x ≥ − 1.

for every integer r ≥ 2 and every real number x ≥ − 1 with x ≠ 0.

The exponent r can be generalized to an arbitrary real number as follows: if x > − 1, then

Whereas the mass number simply counts the total number of neutrons and protons and is thus a natural ( or whole ) number, the atomic mass of a single isotope is a real number.

For every real number x, the cumulative distribution function of a real-valued random variable X is given by

Thus if one chooses an infinite number of points in the closed unit interval, some of those points must get arbitrarily close to some real number in that space.

In particular, no subset of the points on the real line gets arbitrarily close to any real number.

The box is internally wired so the door can never be opened without setting off a screeching klaxon ( `` It's real obnoxious '' ).

In addition to the authentication and acknowledgment procedures which precede and follow the sending of the go messages, again in special codes, each message also contains an `` internal authenticator '', another specific signal to convince the recipient that he is getting the real thing.

Now the detective must save his own skin by informing on the girl he loves, who is also the real murderer.

In order to exonerate himself, he is compelled to find the real criminal, who happens to be his girl friend.

To perpetuate wealth control led by small groups of individuals who played no role in its creation prevents those with real initiative from coming to the fore, and is basically anti-democratic.

Harris J. Griston, in Shaking The Dust From Shakespeare ( 216 ), writes: `` There is not a word spoken by Shylock which one would expect from a real Jew ''.

The basic truth in the reactionary response is to be found in its realistic assumption of the primacy of the real over the ideational.

Yet he is right when he claims in his autobiography that he drew the real features of the man, his tender and selfless motives and his rugged fearless strength.

One is that there sometimes are real although inadequate compensations in growing old.

Our problem, therefore, is to devise processes more modest in their aspirations, adjusted to the real world of sovereign nation states and diverse and hostile communities.

The progress reported by the advisory committee is real.

The only real problem is to devise a plan whereby the owners of the above-water land can develop their property without the public losing its underwater land and the right to its development for public use and enjoyment.

`` A better position for negotiations is the real point of this speech.

Bostitch, Inc. is approximately half way through a 10-year exemption of their real estate tax.

But Albania is merely a symptom of a real malaise between China and Russia.

But this is not the real problem ; ;

And fashion is the real king here.

one who is thoroughly human, who affects no dignity, and who is endowed with real ability, genuine worth, and sterling honesty -- all dedicated to secure the best interests of the country he has loved and served so long.

This is being done both by the revaluation of real property and by seeking out forms of personal property hitherto neglected or ignored.

Rhode Island law specifies that all real estate is taxable in the town in which it is situated.

Command's new Brahms Second is a major effort to make a record that sounds like a real orchestra rather than a copy of one.