Fibonacci numbers and the golden ratio
... There still is ϕ in the denominator on the right-hand side, so we can repeat this substitution, and repeat it again, any number of times: ...
... There still is ϕ in the denominator on the right-hand side, so we can repeat this substitution, and repeat it again, any number of times: ...
Bell Numbers and Bell Numbers Modulo a Prime Number
... a prime number. That is, we find the remainder when each is divided by a prime number. ...
... a prime number. That is, we find the remainder when each is divided by a prime number. ...
Section 1.3
... A set is a collection of objects whose contents can be clearly determined. The objects in the set are called the elements of the set. The set of numbers used for counting can be represented by: ...
... A set is a collection of objects whose contents can be clearly determined. The objects in the set are called the elements of the set. The set of numbers used for counting can be represented by: ...
Aalborg Universitet Numerical Investigation of the Primety of Real numbers
... outcomes is fractals. Fractals are objects that are self-similar (i.e. details looks like the whole). Fractals are divided into exact or statistic self-similar objects, full or partial fractals, natural and mathematic fractals, etc. A common natural fractal is the ...
... outcomes is fractals. Fractals are objects that are self-similar (i.e. details looks like the whole). Fractals are divided into exact or statistic self-similar objects, full or partial fractals, natural and mathematic fractals, etc. A common natural fractal is the ...
Document
... Irrational numbers can be written only as decimals that do not terminate or repeat. They cannot be written as the quotient of two integers. If a whole number is not a perfect square, then its square root is an irrational number. Caution! A repeating decimal may not appear to repeat on a calculator, ...
... Irrational numbers can be written only as decimals that do not terminate or repeat. They cannot be written as the quotient of two integers. If a whole number is not a perfect square, then its square root is an irrational number. Caution! A repeating decimal may not appear to repeat on a calculator, ...
Division of Mixed Numbers
... problem without having to refer to such things as books and cartons. The key is that it is still a fact that we do not change a quotient when we multiply both the dividend and the divisor by the same (non zero) whole number. To this end, if we are given the division problem 4 12 ƒ 2 12 we simply mul ...
... problem without having to refer to such things as books and cartons. The key is that it is still a fact that we do not change a quotient when we multiply both the dividend and the divisor by the same (non zero) whole number. To this end, if we are given the division problem 4 12 ƒ 2 12 we simply mul ...
Infinity
Infinity (symbol: ∞) is an abstract concept describing something without any limit and is relevant in a number of fields, predominantly mathematics and physics.In mathematics, ""infinity"" is often treated as if it were a number (i.e., it counts or measures things: ""an infinite number of terms"") but it is not the same sort of number as natural or real numbers. In number systems incorporating infinitesimals, the reciprocal of an infinitesimal is an infinite number, i.e., a number greater than any real number; see 1/∞.Georg Cantor formalized many ideas related to infinity and infinite sets during the late 19th and early 20th centuries. In the theory he developed, there are infinite sets of different sizes (called cardinalities). For example, the set of integers is countably infinite, while the infinite set of real numbers is uncountable.