## (5) Synthesis

I appreciated Linear Transformations the most because of its applications: RGB values, compressing images, digital media processing. Honestly, it’s hard to appreciate math kung puro solve lang but because of its applications, it’s easier and much more fulfilling to absorb the lessons kasi may kwenta pala yung ginagawa natin, ganun. I also enjoyed Gauss-Jordan elimination because it’s very useful and it really makes solving (systems of equation, inverse) easier. Feel ko isa ito sa mga topic na matatandaan ko pa rin n years from now kasi ang dami kong ginamit na papel for this hahaha.

Running man will always remind me of CS 130. Simula nung pinapanood ni sir sa class, nagstart na rin ako manood and super nakahelp siya sa stressful sem na ‘to. Plus, yung mga games na ginawa sa class (!!!) and just like RM, pangpaalis din ng stress ang 130 dahil ang positive and fun ng class.

Thank you and good luck sa remaining requirements!! Woo

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## (4) Fourier Transform in GPS Signal Acquisition

GPS is one of the most widely used wireless systems. A GPS receiver has to lock on the satellite signals to calculate its position. The process of locking on the satellites is quite costly and requires hundreds of millions of hardware multiplications, leading to high power consumption. [1]

Apparently, the fastest known algorithm for this problem is based on the Fourier transform. A paper called “Faster GPS via the Sparse Fourier Transform” discussed about reducing complexity in relation with decreasing GPS power consumption.

The algorithm reduces the locking complexity to O(n√(log n)). Further, if the SNR is above a threshold, the algorithm becomes linear, i.e., O(n). It exploits the sparse nature of the synchronization problem, where only the correct alignment between the received GPS signal and the satellite code causes their cross-correlation to spike. [1]

## (3) Symmetry

Symmetry in Religious Symbols

“Symmetry symbols pervade ancient cosmologies. Thus the concept of axis mundi (the world axis) is a famous mytho-poetic archetype expressing the idea of centrality in the arrangement of the Cosmos.” The central image of Christianity, the cross, belongs in the same category, it signifies a possibility for humans to connect with heaven.

The appeal of symmetry can also be found on a person’s reaction when highly symmetrical natural objects (seashells etc.) are found. The idea that these objects came from nature itself makes us view symmetry as something that is informative of the world around us. It’s because of this tendency to see purpose and beauty in symmetry that makes it an integral part of religious symbols.

Some people argue that with symmetry comes perfection and perfection will bring you closer to God. But what is the real meaning of perfection? Is it all about symmetry? Maybe it’s because we can find symmetry everywhere: from living things (human body, plants) to nonliving (crystals, heavenly bodies). We can’t help but wonder if there is a deep, spiritual meaning in all this symmetry. And if it connects us to God in some way.

## (2) Vectors

Give one sample application and describe/illustrate how the vector can be used.

Archery: There are a lot of things to consider when it comes to archery and wind is one of them since it has an effect on a projectile’s trajectory. In order to hit the target, the wind + other factors must be considered to direct it to the target. When we draw back the bowstring, force is exerted on the string to bend it in order to fire a shot. The right amount of force (must not exceed the limit of draw length) and pointing it at the right direction (consider factors that will affect its trajectory) will increase the chances of hitting the target.

## (1) Intro

What’s your name?

Halu, I’m Aira Shey Pega. You can call me Aira, yay.

What were your thoughts when you enrolled in this course?

Ang daming math and makapal na notebook kailangan dahil maraming notes(?) but it will be fun dahil kaklase ko mga kumare + sir paul yung prof so yehey!

How comfortable are you with math?

Sakto lang. I believe that it’s one of those subjects that you can be good at if you work really hard for it. There’s a pattern or a formula ganyan when you’re solving math problems so if you just keep on practicing + familiarize yourself with the topic and the steps in order to arrive to your solution, mas magiging madali ang pagintindi. Yata, huhu. I think key ang hard work so just practice, practice, practice.

What’s your dominant feeling right now?

Hangry!!!

• #### Paul Rossener 4:30 pm on February 22, 2017 Permalink | Reply

This is a little too late, but I think you can use your 180 project regarding your dominant feeling. 🙂

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