What is a Closed-Form Number?
... But since W is not an elementary function [5], this is not an answer that would satisfy most high-school students. Similarly, if we allow various special functions-e.g., elliptic, hypergeometric, or theta functions-then we can explicitly express the r, in Question 2, or indeed the roots of any polyn ...
... But since W is not an elementary function [5], this is not an answer that would satisfy most high-school students. Similarly, if we allow various special functions-e.g., elliptic, hypergeometric, or theta functions-then we can explicitly express the r, in Question 2, or indeed the roots of any polyn ...
weird ways to multiply - Mathematical Association of America
... Right to Left Not allowed to write 21 Are allowed to write 11 Where 11 is written is weird Throw in a zero Not allowed to write 14 Where you write 4 and 7 End with an addition problem! ...
... Right to Left Not allowed to write 21 Are allowed to write 11 Where 11 is written is weird Throw in a zero Not allowed to write 14 Where you write 4 and 7 End with an addition problem! ...
The Number System
... 1. The number can be written as a fraction (i.e., as a quotient of two whole numbers). Equivalently, the number is a terminating or repeating decimal. 2. Yes. It may be written as a fraction with a denominator of 1. 3. It is either repeating or terminating. 4. Use the calculator to c ...
... 1. The number can be written as a fraction (i.e., as a quotient of two whole numbers). Equivalently, the number is a terminating or repeating decimal. 2. Yes. It may be written as a fraction with a denominator of 1. 3. It is either repeating or terminating. 4. Use the calculator to c ...
Document
... Arrange copies of the digits 1, ..., such that there is one digit between the 1s, two digits between the 2s, etc. For example, the unique (modulo reversal) solution is 231213, and the unique (again modulo reversal) solution is 23421314. Solutions to Langford's problem exist only if n = 0 or 3 (mod 4 ...
... Arrange copies of the digits 1, ..., such that there is one digit between the 1s, two digits between the 2s, etc. For example, the unique (modulo reversal) solution is 231213, and the unique (again modulo reversal) solution is 23421314. Solutions to Langford's problem exist only if n = 0 or 3 (mod 4 ...
Composite Numbers, Prime Numbers, and 1
... We can split the odd primes into two distinct groups: those of the form 4k + 1 (the first few being 5, 13, 17, 29, 37, . . .), and those of the form 4k + 3 (the first few being 3, 7, 11, 19, 23, . . .). Since we know there are infinitely many primes (and only one even prime!), at least one of these ...
... We can split the odd primes into two distinct groups: those of the form 4k + 1 (the first few being 5, 13, 17, 29, 37, . . .), and those of the form 4k + 3 (the first few being 3, 7, 11, 19, 23, . . .). Since we know there are infinitely many primes (and only one even prime!), at least one of these ...