영어에서 Real numbers 을 사용하는 예와 한국어로 번역
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commonly represented as z= x+ iy, where x and y are real numbers and i is an imaginary unit, the square of which is -1.
it's time for some real numbers and detailed specs.
floating-point numbers can only approximate real numbers.
For many standard probability distributions, such as the normal distribution, the sample space is the set of real numbers or some subset of the real numbers. .
He had proved that the real numbers were not countable by December 1873 and published this in a paper in 1874.
A complex number z is a number of the form x+ iy, where x and y are real numbers and i is the imaginary unit for which i2= -1.
Trading with real money and seeing the real numbers could motivate you to study and think harder.
Calculus uses real numbers rather than counting numbers because it's measuring things in the real world.
Protest organisers and governments often don't want real numbers,” he says.
These two laws and the other requirements on a field can be proven by the formulas given above, using the fact that the real numbers themselves form a field.
divides the rational numbers into two subsets, namely those greater than r and those less than r. Dedekind's brilliant idea was to represent the real numbers by such divisions of the rationals.
In On the Infinite, David Hilbert hypothesized that the Ackermann function was not primitive recursive, but it was Ackermann, Hilbert's personal secretary and former student, who actually proved the hypothesis in his paper On Hilbert's Construction of the Real Numbers.
it never publishes any real numbers, because it is more profitable to keep the real numbers in secret.
The problem was both one of geometry concerning the nature of the line thought of as built up of points and of arithmetic thought of as the theory of the real numbers.
Twenty years later, in this 1874 work, Cantor showed that in a certain sense'almost all' numbers are transcendental by proving that the real numbers were not countable while he had proved that the algebraic numbers were countable.
Thus, there exist extensions of the field of real numbers that possess all the properties of the system of real numbers that are formulated in the lower predicate calculus in terms of some given set of relations.
we find the linear approximationfor f(x)=(1+ x)n at x= 0, which can be used to estimate roots and powers for real numbers near 1.
we do note that in introducing the real numbers in the first chapter Dieudonné assumes they are an ordered field in which the intermediate value theorem is valid for polynomials of degree 3.
Whatever the real numbers were, however, it is clear that Xerxes was anxious
More generally, exponentiation allows any positive real number as base to be raised to any real power, always producing a positive result, so logb(x) for any two positive real numbers b and x, where b is not equal to 1, is always a unique real number y.