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  • AF Formaran 9:29 am on May 21, 2017 Permalink | Reply
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    Life’s Reality and Imagination

    Our lives are like complex numbers. There’s the reality we live in everyday, where we bring forth ideas into something we can sense and comprehend. And there’s the imaginary, where we cower away into the deepest depths of our minds like the artists we are, thinking and manifesting.

    It all starts there. The mixture, the blending, the fusion of real and imaginary. From there roots all we have now, and what we will have in the future.

    CS 130 is like the fundamentals of something grander.

    We started off with complex numbers in CS 130, and from there, we kept on upgrading to harder and harder topics. Such is the growth of students. We first receive the simplest of tools, and using those tools, we are taught to create more complex ones.

    I guess the road of a computer science student is still a long one, but at least, we have progressed further than where we were yesterday.

     
  • AF Formaran 12:24 pm on May 3, 2017 Permalink | Reply
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    Fourier Transform Applications on Quantum Mechanics

    Abstract

    “We introduce the concept of Fourier transforms of fractional order, the ordinary Fourier transform being a transform of order 1. The integral representation of this transform can be used to construct a table of fractional order Fourier transforms. A generalized operational calculus is developed, paralleling the familiar one for the ordinary transform. Its application provides a convenient technique for solving certain classes of ordinary and partial differential equations which arise in quantum mechanics from classical quadratic hamiltonians. The method of solution is first illustrated by its application to the free and to the forced quantum mechanical harmonic oscillator. The corresponding Green’s functions are obtained in closed form. The new technique is then extended to three-dimensional problems and applied to the quantum mechanical description of the motion of electrons in a constant magnetic field. The stationary states, energy levels and the evolution of an initial wave packet are obtained by a systematic application of the rules of the generalized operational calculus.

    Finally, the method is applied to the second order partial differential equation with time-dependent coefficients describing the quantum mechanical dynamics of electrons in a time-varying magnetic field.”

    To summarize, you use Fourier transform and its higher order integrals to analyze and map the mechanics of electrons placed in magnetic fields.

    Reference: http://imamat.oxfordjournals.org/content/25/3/241.short

     
  • AF Formaran 6:24 am on February 24, 2017 Permalink | Reply
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    Symmetry in OCD 

    “Some people with OCD have obsessions surrounding the way objects are arranged. These people may feel very uncomfortable when confronted with situations where objects are misaligned or in disarray. People with symmetry concerns may be more likely to have other anxiety disorders or obsessive compulsive personality disorder. In other cases, the need for symmetry may just “feel right.”

     

    Reference: http://www.ocdtypes.com/symmetry-ocd.php

     
  • AF Formaran 6:30 am on January 27, 2017 Permalink | Reply
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    Very useful for setting initialization vectors for primary data encryption.

    It can also be expanded to visual crypto wherein you use 3d objects instead, and if ever, on elliptic curve to modify it into saddle. (just my thoughts on potential of vectors)

    References:

    http://crypto.stackexchange.com/questions/732/why-use-an-initialization-vector-iv

    https://www.techopedia.com/definition/26858/initialization-vector

     
  • AF Formaran 11:42 am on January 19, 2017 Permalink | Reply
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    ChiggAF 

    Week 1: Introduce yourself

    • What’s your name?

    Sup! I’m AF. Short for Adrian Formaran. But you can call me whatever you like, as long as it’s nothing cringy or disgusting.

    • What were your thoughts when you enrolled in this course?

    I’m quite the stereotype Asian nigga everyone knows – Math and Science lover. I say I enjoy the math side of Computer Science cause they pose some nice problems. I prefer it to the programming courses, so I’m quite hyped to be enrolled in this course , especially having sir Paul as my prof for the first time.

    • How comfortable are you with math?

    Math’s been my whole childhood. I grew up eating math for brunch and dinner. Our school heavily focused on math. As much as I am not that good at it, people yearn for the things they don’t have so I really like this subject.

    • What’s your dominant feeling right now?

    My feelings are hard to describe. Sometimes, I am not even sure of what I’m feeling. More so the fact in telling you what it is; since how could you fathom what other people feel through an explanation? So my final answer is… I’m not too sure.

     
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