Is Every Function Computable? There is a Turing machine program with the property that for any function f : N → N on the natural numbers, including non-computable functions, there is a model of arithmetic or set theory inside of which the function computed by agrees exactly with on all standard finite input. … Are
What Does It Mean For An Irrational Number To Be Computable? A computable number is a number that can be calculated by a finite computer program. All the numbers you have ever heard of like 3, √2, π, e, etc. are computable. Some numbers (like π) are represented by an infinite string of nonrepeating digits.
What Problems Cannot Be Solved By Algorithm? Explanation: problems cannot be solved by any algorithm are called undecidable problems Can every problem be solved with algorithms? Well, an algorithm is a sequence of steps that solves a problem. With that definition (and in fact most definitions of algorithm) any computer program is also an algorithm.
Are Real Numbers Uncomputable? Most real numbers can never be calculated, they’re uncomputable, which suggests that mathematics is full of things that we can’t know, that we can’t calculate. This is related to something famous called Gödel’s incompleteness theorem from 1931, five years before Turing. What makes a number computable? A computable number is a
What Are Decidable And Undecidable Problems? The problems for which we can’t construct an algorithm that can answer the problem correctly in finite time are termed as Undecidable Problems. These problems may be partially decidable but they will never be decidable. What types of problems are undecidable? There are some problems that a computer can