### Let’s hear it for Logo! (2)

Continuing my re-discovery of Logo, I thought I’d try to implement a backtracking solution to finding a Hamiltonian cycle in…

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# Numbers and Shapes

### Let’s hear it for Logo! (2)

### Let’s hear it for Logo!

### Approximating the sum of an infinite series (3)

### Approximating the sum of an infinite series (2)

### Approximating the sum of an infinite series

### Typesetting music

### The derivative of sin(x)

### Tuning and temperament (5): Meantone and the syntonic comma

### Tuning and Temperament (4): Tempering the cycle of fifths

### Tuning and temperament (3): Just Intonation and Equal Temperament

Various things, mostly mathematical

Continuing my re-discovery of Logo, I thought I’d try to implement a backtracking solution to finding a Hamiltonian cycle in…

Recently I had the occasion of helping my autistic son with some elementary mathematics. He’s very averse to writing, but…

In the last post I looked at Aitken’s delta-squared process, and showed its applicability to summing some alternating series. But…

Before we begin, some basic definitions. Suppose is a sequence that converges to a limit . We say that the…

I started thing about this as I was preparing some material on the use of Matlab for teaching engineering mathematics…

Recently I’ve been typesetting a little music. My notational needs are simple: mostly single melodic lines, occasional chords or multiple…

We know that we can use the limit definition to compute the derivative of “from first principles”. And…

The Pythagorean comma may be considered as the difference in two ways of tuning 84 semitones: either as 12 fifths,…

We have seen that 12 justly tuned fifths will overshoot 7 octaves, so in order for them to match up,…

We have seen in previous posts on this topic that: The perfect fifth corresponds to a frequency ration of 3/2…