In mathematics, the real number is the value of a continuous intensity that can represent the distance from the line. In this context, in the 17th century the adjective René Descartes was introduced by the polynomials who were able to determine the distinction between the real and the fictional roots. Real numbers include integer 5 and fraction 4/3 all the rational numbers and all the irrational numbers (2 1,41421356 ..., root root, an irrational algebraic number), such as √2. Genetic numbers such as π (3.14159265 ...) are included in the eritrals. In addition to distance measurement, the actual number can be used to measure time, mass, energy, speed and many other factors.
For really numbers, the integer points are the corresponding one, with the same distance, the limit can be known as the pay lines on the long line, which is referred to as a real line or a real line. The actual number can be determined by a potentially incomplete decimal representation, eg. B 8,632, each figure is measured in the tenth size of the previous size. The actual line is considered to be part of a complex plane, and complex numbers contain real numbers.
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These details of real numbers are not strict enough by the modern standards of pure mathematics. A better definition was needed to understand - the search for the correct rigid definition of real numbers - was one of the most important developments in mathematics of the 19th century. The current voluntary standard definition is that the actual numbers form a declaration involving the unique Dieendend-perfect parent area (R ++;), to a isomorphism, [a], the actual data includes popular structural definitions when the plausible numbers sequence, Dedikationsschnitt or infinite decimals, The relation in order with precision and Yakyaon for arithmetic operations. All of these definitions are compatible with voluntary definition and hence it is equivalent.
Reality is countless; All these natural numbers and all real numbers are set on an infinite set, natural numbers can only be done by a number of natural numbers: all the real numbers Cardinality ({{displaystyle {\ mathfrak {C}}} {\ mathfrak {C} } And continuity is called Cardinality.) Crispy Cardinality (more than a suggested natural number set {\ display type \ aleph_ {0}} \ {0} alf_ 'alf-none'). There is a suitable subgroup of reality Cardinality reality {\ displaystyle \ aleph_ {0}} \ aleph_ {0} and {\ displaystyle {\ mathfrak {C}}} {\ mathfrak {C}} is continuously known as Hypothesis (CH) Is there. According to the principles of Zermelo-Fraenkel do not set theory to prove it does not reject standard principles in modern mathematics Z.D. The basic foundation is that some models of JFC meet Chris while others break it.
C. Easy changes were made by the Egyptians around 1000. In Vedic "Sulba Sutra" ("Star Rules"), c. 600 BC may be the first "use" of the illogical numbers. Since then, mankind (750-6 9 V. Chr.) Was initially recognized by the Indian mathematicians as being misunderstood, because they knew that some statistics class could not be determined according to the original original 2 and 61 [1] ] Approximately 500 V. . Before that Greek mathematician, Pythagoras, was needed for illogical numbers, especially the square root of 2 was led by illogicality.
In the Middle Ages, after accepting acceptance of zero, negative, internal and part numbers, Arab mathematicians who made these first irrational numbers in the form of algebraic objects, by Indian and Chinese mathematicians first [2] had made it through algebraic development. Arab mathematicians have merged the words "number" and "size" into more general ideas of real numbers. [3] Egyptian mathematician Abu Kamel Shuja ibn Aslam (about 850-930), in the form of a solution of unprecedented expressions or synergies in the form of irrational numbers, was the original root of the square in the first and the fourth original form. [4]
