1.
What are the first four digits of Pi after the decimal point?
Correct Answer
A. 1415
Explanation
The first four digits of Pi after the decimal point are 1415.
2.
Which four digits come after 3.1415 in Pi?
Correct Answer
D. 9265
Explanation
The digits of Pi continue indefinitely without repetition, so there is no definitive answer to this question. However, the given answer "9265" could be a possible sequence of four digits that come after 3.1415 in Pi.
3.
What is the oldest document known relating to the existence of Pi?
Correct Answer
A. The Suse tablette from the Babylonians
Explanation
The Suse tablette from the Babylonians is considered the oldest document known relating to the existence of Pi. This tablet, dating back to around 1900-1600 BCE, contains a mathematical table that approximates the value of Pi to four decimal places. It is significant because it demonstrates that the Babylonians had an understanding of the concept of Pi and were able to calculate its value accurately. This tablet provides valuable insight into the mathematical knowledge and achievements of the ancient Babylonian civilization.
4.
Simon Plouffe, the famous Canadian mathematician who discovered the BBP formula allowing to calculate the n-th digit of Pi in base 2, was already famous in 1975 in the Guinness record book. What for?
Correct Answer
B. He memorised 4096 decimals of π
Explanation
Simon Plouffe was already famous in the Guinness record book in 1975 for memorizing 4096 decimals of Pi.
5.
What is the actual record of a number of decimals calculated? (ouch, this question will be quickly obsolete, so let us indicate the date as 20th September 1999)
Correct Answer
A. 206,158,430,000
6.
In 1997 Fabrice Bellard found a formula that accelerated the calculation of the n-th digit of Pi compared to the BBP formula. By how much?
Correct Answer
C. 43%
Explanation
Fabrice Bellard's formula accelerated the calculation of the n-th digit of Pi by 43% compared to the BBP formula.
7.
How are the first few digits of Pi written in binary?
Correct Answer
D. 11.0010010000111111
Explanation
The given answer, 11.0010010000111111, represents the first few digits of Pi written in binary. In binary, each digit can be either 0 or 1, and the digits to the left of the decimal point represent the whole number part of Pi in binary, while the digits to the right of the decimal point represent the fractional part. Therefore, the given answer accurately represents the binary representation of the first few digits of Pi.
8.
The definitions of Pi through geometry because of the Euclidian geometry and integral calculation from below. Mathematicians now go for analytical definitions a lot more abstract. Notably, the famous paper of Bourbaki Pi is defined as:
Correct Answer
C. The real number that appears in the differention 2*π*e(x) of the function e(x), unique continu homorphism of the additive group R on the multiplicative group U of the complex number of absolute number 1
Explanation
The correct answer is the real number that appears in the differentiation 2πe(x) of the function e(x), unique continuous homomorphism of the additive group R on the multiplicative group U of the complex number of absolute number 1. This definition refers to the mathematical concept of Pi as a constant that arises in the differentiation of the exponential function. It highlights the relationship between Pi, the imaginary unit i, and the exponential function e(x).
9.
Another important concept, the universal number. We don't know if Pi is one. What practical consequence could this have if the hypothesis were checked?
Correct Answer
A. We could find the Bible and our own biography at a precise place in the decimals of π translate in letters
Explanation
If the hypothesis were true and we could find the Bible and our own biography at a precise place in the decimals of π, translated into letters, it would imply that π is a normal number. A normal number is one in which every possible sequence of digits occurs with equal frequency. This would have significant implications, as it would suggest that π contains all possible combinations of letters, making it a rich source of information. It would open up possibilities for encoding and decoding messages, and potentially revolutionize communication and information storage.
10.
A contemporary mathematician and who participated in the research of Pi owned a number plate whose number was P 314159. Nowadays it's in hexadecimal, who was it?
Correct Answer
B. David Bailey
Explanation
The correct answer is David Bailey. David Bailey is a contemporary mathematician who participated in the research of Pi. The number plate mentioned, P 314159, is a reference to the first six digits of the mathematical constant Pi (3.14159). Therefore, it is likely that the number plate belongs to David Bailey.