# Patterns in Semi-Selfie Numbers

Author studied many ways of writing selfie numbers, sometimes known by wild narcissistic numbers. There are numbers very much near to selfie-number, but are not complete selfie numbers. Let us write these types of numbers, as semi-selfie numbers, where numbers are written in terms of expressions with positive, and negative signs having same digits on both … Continue reading Patterns in Semi-Selfie Numbers

# Fibonacci Sequence and Running Expressions with Equalities

In previous work ( Part I   and Part II), running qualities are written in terms of 1 to 9 and 9 to 1 or 9 to 0 separated by single or double equality signs. Each digits is used with basic operations, along with factorial and square-root. These types of equalities, we called as running expressions. … Continue reading Fibonacci Sequence and Running Expressions with Equalities

# Single Digit Representation of Natural Numbers 1 to 10000

In the previous work, we established representations of numbers numbers from 0 to 1000 using only single digit, i.e., in terms of  1, 2, 3, 4, 5, 6, 7, 8 and 9. This is done only using basic operations: addition, subtraction, multiplication, potentiation and division. The same work is extended natural numbers up to 10000.  Below … Continue reading Single Digit Representation of Natural Numbers 1 to 10000