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  • Daine Daling 6:30 pm on May 23, 2017 Permalink | Reply
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    Symmetry in Physics 

    Symmetry is quite beautiful in its applications. From photographs to paintings to music, a sense of symmetry gives a sense of balance and therefore is comfortable to look at. In the same way, symmetry in physics also yields beautiful results. According to Feynman, symmetry is when “if there is something we can do to it so that after we have done it, it looks the same as it did before”. Indeed, symmetry has multiple deep applications in theoretical physics. In Electrodynamics, for example, symmetry helps to make calculations easier, removing the need for complex integrals. In quantum mechanics, the applications of symmetry are massive.

    And of course, who could forget one of the more recent and memorable applications of symmetry:

     
  • Daine Daling 6:08 pm on May 23, 2017 Permalink | Reply
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    Synthesis 

    I think the topic that had the most impact for me would be Eigenvectors and Eigenvalues. When I first encountered these last year in a Math 114 class, I didn’t really see too much in it and shrugged it off as a minor tool in mathematics (probably because I barely attended the lectures in that class, lol). However, CS 130 has really brought it to light. Now I appreciate them more than ever, seeing many of their applications, especially those in matrix/image transformations.

    This may sound cliche but I really think the course, in my opinion, is best described as fun. Yes, fun. Sir Paul’s pre-class group activities and his humor definitely made the class feel lighter, despite the mental workload of studying mathematical methods. I don’t think any other class I’ve been in has better ice-breakers and an overall fun vibe than this one.

    I was never good at parting messages because I usually revolve around one point that I keep reiterating and it ends up being annoying in the end lol. Besides, I’m not really too close with much of the class so I will take this opportunity to say goodbye and best of luck to all your future endeavors. Also, support local independent (the actual independent, DIY artists, not those that pose as “indie” merely to market themselves) music!

     
  • Daine Daling 5:57 pm on May 23, 2017 Permalink | Reply
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    Fourier in Quantum Mechanics 

    Fourier transforms are used extensively in areas such as signal processing and electronics. However, Fourier analysis is also useful in quantum mechanics and quantum field theory. Because it is used in solving partial differential equations, it is useful in solving Schrodinger’s equation, as detailed here . Of course, the many applications of Schrodinger’s equations and quantum mechanics follow.

     
  • Daine Daling 5:25 pm on May 23, 2017 Permalink | Reply
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    An (un)timely Introduction 

    I know this is quite late. Okay, who am I kidding, this is way overdue, but you know what they say (old as it may seem), better late than never (is it really?)

    Hi, I’m Daine Rhythm Daling

    When I first checked the course syllabus on the first day, I immediately recounted my experiences in the past courses I had back in EEE. Math 114 was our linear algebra course, and I quite enjoyed it except for the hellhole that is matrices. Nonetheless, the linear algebra part got me excited. For the latter parts, I was pretty excited to meet my good old friends Pierre-Simon Laplace and Joseph Fourier. Exactly a year ago they nearly beat me to death in my Signal Processing class, notoriously known as EEE 35. While I did fail that class, I was however excited to take another shot.

    I would actually consider myself pretty comfortable with math. Shifting into Computer Science, I was deeply motivated by the theoretical aspect more than the part where people make cool websites and video games. I knew math and logic would be the heart of it all, two fields I would not consider myself a stranger to.

    At the time, my dominant feeling was that of excitement. I could not wait to brush up on my linear algebra and get another chance to face Laplace transformations and the Fourier series.

     
  • Daine Daling 5:23 pm on May 23, 2017 Permalink | Reply
    Tags:   

    I know this is quite late. Okay, who am I kidding, this is way overdue, but you know what they say, old as it may be, better late than never (is it really?)

    Hi, I’m Daine Rhythm Daling

    When I first checked the course syllabus on the first day, I immediately recounted my experiences in the past courses I had back in EEE. Math 114 was our linear algebra course, and I quite enjoyed it except for the hellhole that is matrices. Nonetheless, the linear algebra part got me excited. For the latter parts, I was pretty excited to meet my good old friends Pierre-Simon Laplace and Joseph Fourier. Exactly a year ago they nearly beat me to death in my Signal Processing class, notoriously known as EEE 35. While I did fail that class, I was however excited to take another shot.

    I would actually consider myself pretty comfortable with math. Shifting into Computer Science, I was deeply motivated by the theoretical aspect more than the part where people make cool websites and video games. I knew math and logic would be the heart of it all, two fields I would not consider myself a stranger to.

    At the time, my dominant feeling was that of excitement. I could not wait to brush up on my linear algebra and get another chance to face Laplace transformations and the Fourier series.

     
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