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He also gave two other approximations of π: π ≈ 22 ⁄ 7 and π ≈ 355 ⁄ 113, which are not as accurate as his decimal result. The latter fraction is the best possible rational approximation of π using fewer than five decimal digits in the numerator and denominator. Zu Chongzhi's results surpass the accuracy reached in Hellenistic ...
The number π (/ p aɪ / ⓘ; spelled out as "pi") is a mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to its diameter.It appears in many formulae across mathematics and physics, and some of these formulae are commonly used for defining π, to avoid relying on the definition of the length of a curve.
A Charlieplexed digital clock which controls 90 LEDs with 10 pins of a PIC 16C54 microcontroller.. Charlieplexing (also known as tristate multiplexing, reduced pin-count LED multiplexing, complementary LED drive and crossplexing) is a technique for accessing a large number of LEDs, switches, micro-capacitors or other I/O entities, using relatively few tri-state logic wires from a microcontroller.
Leibniz wrote that circles "can most simply be expressed by this series, that is, the aggregate of fractions alternately added and subtracted". [122] However this formula is only accurate with a large number of terms, using 10,000,000 terms to obtain the correct value of π / 4 to 8 decimal places. [ 123 ]
The question of the existence of Perrin pseudoprimes was considered by Malo and Jarden, [13] but none were known until Adams and Shanks found the smallest one, 271441 = 521 2 (the number P(271441) has 33150 decimal digits). [14] Jon Grantham later proved that there are infinitely many Perrin pseudoprimes. [15] The seventeen Perrin pseudoprimes ...
Hexadecimal (also known as base-16 or simply hex) is a positional numeral system that represents numbers using a radix (base) of sixteen. Unlike the decimal system representing numbers using ten symbols, hexadecimal uses sixteen distinct symbols, most often the symbols "0"–"9" to represent values 0 to 9 and "A"–"F" to represent values from ten to fifteen.
First implemented as a compile-and-go system rather than an interpreter, BASIC emerged as part of a wider movement towards time-sharing systems. General Electric, having worked on the Dartmouth Time-Sharing System and its associated Dartmouth BASIC, wrote their own underlying operating system and launched an online time-sharing system known as Mark I featuring a BASIC compiler (not an ...
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