### Some articles on *irrational*:

Complete Quotients and Equivalent Real Numbers - A Theorem About "equivalent"

... Amazingly enough, two

**Irrational**Numbers... Amazingly enough, two

**irrational**numbers x and y are equivalent under this scheme if and only if the infinitely long "tails" in their expansions as regular continued fractions are exactly ... Let x and y be two**irrational**(real) numbers, and let the kth complete quotient in the regular continued fraction expansions of x and y be denoted by ζ k and ψ k, respectively, Then x ~ y (under the equivalence ...**Irrational**Number - Open Questions

... It is not known whether π + e or π − e is

**irrational**or not ... pair of non-zero integers m and n for which it is known whether m π + n e is

**irrational**or not ... or the Euler–Mascheroni gamma constant γ are

**irrational**...

Algebraic Fraction -

... An

**Irrational**Fractions... An

**irrational**fraction is one that contains the variable under a fractional exponent ... An example of an**irrational**fraction is The process of transforming an**irrational**fraction to a rational fraction is known as rationalization ... Every**irrational**fraction in which the radicals are monomials may be rationalized by finding the least common multiple of the indices of the roots, and ...Proof That π Is

... The number π (pi) has been studied since ancient times, and so has the concept of

**Irrational**... The number π (pi) has been studied since ancient times, and so has the concept of

**irrational**numbers ... An**irrational**number is any real number that cannot be expressed as a fraction a/b, where a is an integer and b is a non-zero integer ... It was not until the 18th century that Johann Heinrich Lambert proved that π is**irrational**...Economy And Society - Quotes - Ideal Types (Pure Types)

... analysis it is convenient to treat all

... analysis it is convenient to treat all

**irrational**, affectually determined elements of behavior as factors of deviation from a conceptually pure type of rational action ... what the course of action would have been if it had not be influenced by**irrational**affects it is then possible to introduce the**irrational**components as accounting for ... to understand the ways in which actual action is influenced by**irrational**factors of all sorts, such as affects and errors, in that they account for the deviation ...### More definitions of "irrational":

- (
*adj*): Real but not expressible as the quotient of two integers.

Example:*"Irrational numbers"*

### Famous quotes containing the word irrational:

“How did reason enter the world? As is fitting, in an *irrational* way, accidentally. We will have to guess at it, like a riddle.”

—Friedrich Nietzsche (1844–1900)

“The *irrational* may be attractive in the abstract, but not in cab drives, dinner guests, or elderly relatives.”

—Mason Cooley (b. 1927)

“It is not to be forgotten that what we call rational grounds for our beliefs are often extremely *irrational* attempts to justify our instincts.”

—Thomas Henry Huxley (1825–95)

Main Site Subjects

Related Subjects

Related Phrases

Related Words