Sentence examples for decimal expansion from inspiring English sources

This is known as the decimal expansion of pi.

It looks exactly like pi in its decimal expansion; it is a hopeless jumble, showing no obvious system or design.

Pi is an irrational number and as such the decimal expansion does not terminate nor does it repeat.

Each irrational number can be expressed as an infinite decimal expansion with no regularly repeating digit or group of digits.

Unfortunately, this series converges too slowly to π for the practical generation of digits in its decimal expansion.

This work, created by the Canadian artist Arlene Stamp, consists of thousands of colored tiles all neatly arranged through the use of a complex algorithm based on the decimal expansion of pi.

Continuous systems can be subdivided indefinitely, and their description requires the real numbers, numbers represented by decimal expansions such as 3.14159…, possibly going on forever.

Of two natural numbers x and y one can always decide whether x = y or x ≠ y, but of two real numbers this may not be possible, as one might have to know an infinite number of digits of their decimal expansions.

It is constructed around seven basic propositions, numbered by the natural numbers 1-7, with all other paragraphs in the text numbered by decimal expansions so that, e.g., paragraph 1.1 is (supposed to be) a further elaboration on proposition 1, 1.22 is an elaboration of 1.2, and so on.

In the 10-adic numbers, the analogues of decimal expansions run to the left.

Perhaps the most common development of decimal expansions is to define them as sums of infinite series.