golden ratio base造句

• Since the register in golden ratio base ? being shifted.
• Integers can have terminating representations in irrational bases-see golden ratio base for example.
• For example, in the golden ratio base, the two standard representations are 1.000 & and 0.101010 &, and there are infinitely many more representations that include adjacent 1s.
• However, other positional systems are possible, e . g . golden ratio base ( whose radix is a non-integer algebraic number ), and negative base ( whose radix is negative ).
• There is also a " standard form " which allows only certain sequences of digits, for example the golden ratio base in which more than one 1 in a row is forbidden .  Keenan Pepper 17 : 58, 20 February 2006 ( UTC)
• Thanks for the link to the Hayes essay in " American Scientist "; it is very helpful wrt question 5 . ( The " efficiency " is an optimum of a measure of little or no practical significance . ) The golden ratio base article answers 1 & 2.
• When the golden ratio is used as the base of a numeral system ( see Golden ratio base, sometimes dubbed " phinary " or "-nary " ), every integer has a terminating representation, despite being irrational, but every fraction has a non-terminating representation.
• It has been noted disquisitively that the number 1001 of Duchamp's entry at the 1912 Ind閜endants catalogue also happens to represent in the form 10.01 the integer 2 in the Golden ratio base, related to the golden section, something of much interest to the Duchamps and others of the Puteaux Group.