Flexible Power Representations: Equal String Lengths

This work brings natural numbers from 0 to 11111 written in terms of 0 to 9 in such a way that both expoents and bases are of same digits, from 0 to 9, but with permutable powers. See below some examples and link for download the complete work. Link for download: 1-50000 1. Equal Length Strings … Continue reading Flexible Power Representations: Equal String Lengths

Single Letter Representations Of Natural Numbers

This is first work if its kind. It brings representations of natural numbers from 0 to 5000 written in terms of single digit "a".  It is in such a way that if we replace a by 1 to 9, it always remains the same. To bring these results only basic operations, such as, addition, subtraction, … Continue reading Single Letter Representations Of Natural Numbers

Flexible Power Representations: Unequal String Lengths

This paper works with representations of natural numbers from 0 to 11111 written in terms of expressions with additions, subtractions and exponents. Digits used are from 1 to 9 in such a way that for each number, there are same digits in bases and exponents with different permutations. Some numbers can be written in more than one … Continue reading Flexible Power Representations: Unequal String Lengths

Crazy Representations of Natural Numbers

Natural numbers from 0 to 11111 are written in terms of 1 to 9 in two different ways. The first one in increasing order of 1 to 9, and the second one in decreasing order. This is done by using the operations of addition, multiplication, subtraction, potentiation, and division. In both the situations there are … Continue reading Crazy Representations of Natural Numbers

Running Expressions: Increasing and Decreasing Orders

Running expressions are understood as expressions written in terms of 1 to 9 and 9 to 1 or 9 to 0 separated by one or more equality signs. Each digit appears once with basic operations, along with factorial and square-root.  The work is written in increasing and decreasing order of digits, i.e., from 1 to … Continue reading Running Expressions: Increasing and Decreasing Orders

Crazy Representations of Natural Numbers, Selfie Numbers, Fibonacci Sequence, and Selfie Fractions

This summary brings author's work on numbers. The study is made in different ways. Specially, towards, Crazy Representations of Natural Numbers, Running Expressions, Selfie Numbers, etc. Natural numbers are represented in different situations, such as, writing in terms of 1 to 9 or reverse, flexible power of same digits as bases, single digit, single letter, … Continue reading Crazy Representations of Natural Numbers, Selfie Numbers, Fibonacci Sequence, and Selfie Fractions