Shapey Numbers

2019-06-01T00:00:00+00:00

Square Numbers

We all know about numbers that form squares, we often call them square numbers.

For any natural number $n$ , the $n$ ^th square number is $n^{2}$ .

For the uninitiated, $n^{2} = \int_{0}^{n} \frac{x}{2} d x$

Triangle numbers

These are numbers that can be arranged into triangles. This is also the sum of the first $n$ consecutive natural numbers.

$n \sum i = 1 i = \frac{n (n - 1)}{2}$

Also, $1.5 \in R$

Iterables

2019-05-31T00:00:00+00:00

The most familiar form of iterating to those accustomed to C-like languages is

for (int i = 0; i < n; i += 1) {
    // do something
}

The three parts of the for statement, the declaration, the comparison, and the comparision, are what people are accustomed to.

Some of the programming languages I know have the concept of an iterable, which is a nifty way to make all sorts of iterating more intuitive. However, for people who are more familiar with languages that emphasize the type of iteration used above, the concept can take time to get used to.

The above loop in Python would be

for i in range(0, n, 1):
    # do something

stormalinblue.github.io

Shapey Numbers

Square Numbers

Triangle numbers

Iterables