## fin.

Which topic/s in class made an impact to you? Why?
Matrices, we live in a magical world of ~*matrices*~. The Matrix never really made sense to me until I learned what matrices really represent haha

If you can summarize this course in one word or sentence, what would it be?
Pick-me-up. Although hindi halata yung energy ko in class, this is the one class this semester that I really looked forward to every time without fail. It wasn’t a course that I was afraid of but rather the class that I really wanted to learn something from.

What would be your parting message to the class?
Thank you sa mga naging ka-group ko and ofc, kay Sir Paul. Is it safe to say we passed? *knocks on wood* haha. See you around, hopefully 🙂

## Transform: Visualizing the Audio Spectrum

An application of Fourier transforms is an audio spectrum analyzer. A spectrum analyzer is used to view the frequencies which make up a signal, like audio sampled from a microphone. Let’s make the hardware visualize audio frequencies by changing the intensity of LEDs based on the intensity of audio at certain frequencies.

The video below shows the spectrum display listening to powerful orchestral music with a sample rate of 4000 hz, 40 minimum decibels and 60 maximum decibels. You can see the effects of instruments playing at different frequencies and how the LEDs representing those frequencies respond.

## Symmetry in Snowflakes

Snowflakes are symmetrical because they reflect the internal order of the water molecules as they arrange themselves during crystallization. When a minute cloud droplet first freezes into a tiny particle of ice, water vapor starts condensing on its surface, the ice particle quickly develops facets, becoming a small hexagonal prism. As the crystal becomes larger, branches begin to sprout from the six corners of the hexagon.

While it grows, the crystal is blown to and fro inside the clouds, so the temperature it sees changes randomly with time. Since the crystal growth depends strongly on temperature, thus the six arms of the snow crystal each change their growth with time. And because all six arms see similar conditions at the same times, they all grow about the same way. The end result is a complex, branched structure that is also six-fold symmetric.

## Sound maps

I remember stumbling upon an article on my news feed wherein it said that a computer algorithm designed a concert hall with a really long and weird name. The architects consulted an “acoustician” that provided them an optimal sound map for the auditorium. They used vectors for this so that they could illustrate how the sounds would bounce off the walls and which parts of the room would produce echoes. Using the values produced by the sound map as parameters, the architects created the algorithm that would design the intricate acoustic panels they used to construct the room.

PS. The concert hall is called Elbphilharmonie. 😁
Source: https://www.wired.com/2017/01/happens-algorithms-design-concert-hall-stunning-elbphilharmonie/

## Hellooo

Hi, I’m Camille Comia.

What were your thoughts when you enrolled in this course?
I was a bit nervous since it’s been 2 semesters since I last took a math course.

How comfortable are you with math?
I used to be quite comfortable with HS Math. However, upon stepping in to UP, I found myself struggling my very first Math course as well as the next ones. I can follow along during lectures but I have a hard time solving the problems when I study by myself.

What’s your dominant feeling right now?
Hungry. It’s time for lunch.

• #### Paul Rossener 4:42 pm on February 22, 2017 Permalink | Reply

Hello Camille! I hope the lecture notes are helpful when you study on your own. 🙂

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