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Algebraic Numbers is in Real Numbers.
Real Numbers can be either Algebraic Numbers or Transcendental Number.
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Irrational Number
Irrational Number. An Irrational Number is a number that cannot be expressed as a Fraction.
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Irrational Number, Constructable Numbers
Constructable Numbers are numbers that can be derived using a straight edge and a compass.
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Irrational Number, Constructable Numbers, Golden Ratio
The Golden Ratio, also known as the Golden Mean and Golden Section, is 1.618033... It is the solution to the equation x^2 - x - 1 = 0, or ( a + b ) / a = a / b.
The Golden Ratio is usually represented by the Greek Letter phi φ.
The Fibaonacci Series converges on the Golden Ratio.
The formula ( 1 + SQRT(5) ) / 2 is the Golden Ratio.
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Irrational Number, Constructable Numbers, Square Root of 2
Square Root of 2, or 2^(1/2) being the length of the diagonal of a square with sides of length 1. It is 1.4142135623...
99/70 = 1.4142857 approximates to the Square Root of 2.
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Irrational Number, Non-Constructable Numbers
Non-Constructable Numbers are the solution to algebraic equations with a cube root of higher eg 2^(1/3).
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Rational Number
All About History Books
The Chronicle of Walter of Guisborough, a canon regular of the Augustinian Guisborough Priory, Yorkshire, formerly known as The Chronicle of Walter of Hemingburgh, describes the period from 1066 to 1346. Before 1274 the Chronicle is based on other works. Thereafter, the Chronicle is original, and a remarkable source for the events of the time. This book provides a translation of the Chronicle from that date. The Latin source for our translation is the 1849 work edited by Hans Claude Hamilton. Hamilton, in his preface, says: "In the present work we behold perhaps one of the finest samples of our early chronicles, both as regards the value of the events recorded, and the correctness with which they are detailed; Nor will the pleasing style of composition be lightly passed over by those capable of seeing reflected from it the tokens of a vigorous and cultivated mind, and a favourable specimen of the learning and taste of the age in which it was framed." Available at Amazon in eBook and Paperback.
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Rational Number, Fractions
Fractions are an Integer divided by an Integer eg 1/2, 5/13, 241/98.
Rational Number. A Rational Number is a number that can be expressed as a Fraction of two Integers. Integers are Fractions with a divisor of 1.
Irrational Number. An Irrational Number is a number that cannot be expressed as a Fraction.
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Rational Number, Integers
Integers aka whole numbers. Fractions with a divisor of 1.
Rational Number. A Rational Number is a number that can be expressed as a Fraction of two Integers. Integers are Fractions with a divisor of 1.
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Rational Number, Integers, Prime Number
Prime Number. A Prime Number is an Integer that is only divisible by 1 and itself with the Remainder ie. 1, 2, 3, 5, 7, 11, 13, 17, 19, ...
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Rational Number, Integers, Prime Number, Fermat Prime
Fermat Prime. A Prime Number that is a solution to 2^2^N + 1 eg 3, 5, 17, 65537, 4294967297, 18446744073709551617
2 ^ 2 ^ 0 + 1 = 3
2 ^ 2 ^ 1 + 1 = 5
2 ^ 2 ^ 2 + 1 = 17
With the exeception of the first and second terms Germat Primes always end in 7.
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Rational Number, Integers, Prime Number, Mersenne Prime
Mersenne Prime. A Mersenne Prime is a prime number that is one less than a power of two. Mersenne Primes do not include all numbers that are one less than a power of two eg 16 - 1 = 15 which is divisible by 1, 3 and 5.