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  • karen alarcon 2:47 pm on May 29, 2017 Permalink | Reply
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    Synthesis 

    1. Which topic/s in class made an impact to you? Why? RREF because I had a hard time reducing the matrix noong exam 3. I always end up getting stocked up at some point because I get the wrong combinations of scalar multiples. Ughh. I need some practice.
    2. If you can summarize this course in one word or sentence, what would it be? It was fun! 🙂 .. Although di ako masyado close sa mga classmates ko, but because ung harmony na nabuild sa class makes it totally worth it. I admit, nakakapressure minsan kasi madaming magagaling na students and i feel like im left behind, pero, overall nag enjoy pa rin ako kasi this is my first math class na sobrang fun ung class.
    3. What would be your parting message to the class? Well, of course, first, I’d like to thank Sir Paul.. kasi he made this course interesting, challenging and fun.. I can feel na gusto nya lahat makapasa kasi dito sa class na to nafeel ung word na “CHANCE”. hahaha.. Di ko kasi malilimutan ung time na nag pm sakin si Sir and gave me some references that will greatly help me prepare for the course. So thank you so much Sir for that. Secondly, gusto mag thank you sa kagrupo ko during quizzes and sa final project, shoutout kila Gen, Lois and Mark. 🙂 They served as my inspiration to pursue this course kasi go lang sila ng go so ayun. hahaha.. and lastly of course I’d like to thank the whole class kasi the experience wouldn’t perfect without each everyone who made this class so enjoyable. Yun lang po. 🙂 Thank you so much guys! God Bless sating lahat! See you around. 😀

     
  • karen alarcon 11:19 am on May 14, 2017 Permalink | Reply
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    Fourier Transform on Audio Mixing and Analyzing 


    photo source: http://www.audioxpress.com/assets/upload/images/0/20160112070100_Waves-Audio-eMotionLV1LiveMixerFrontWeb.jpg

    If you are dealing with frequency analysis of the audio wave “quantitatively”, one of the best tools is FFT or Fast Fourier Transform. It is an algorithm to compute the Fourier transform equivalent of a time domain. [1]

    This highly advanced technique is very simple to understand, it simply converts a time domain function into a frequency domain function. [1]

    After audio mix down (where all sound of the instruments are cohesively combined into a single wave), the song is represented as a time domain function – as we can see that the x – axis of the wave is using a time element in hours: minutes: seconds (only minutes and seconds is used realistically). [1]


    photo source: http://img.brothersoft.com/screenshots/softimage/m/mixpad_audio_mixer-50050-1318575480.jpeg

    But time domain graph of the audio wave specially used during the mastering process of the track is simply a plot of amplitude (y-axis) versus time. Obviously you cannot see the frequencies of that wave. It is why we used FFT (Fast Fourier Transform) to convert this time domain representation into a frequency domain plot. With frequency domain, you can analyze the amplitude (y-axis) versus Frequencies. [1]


    photo source: http://static.kvraudio.com/i/b/audioxplorer.jpg

    Reference:
    [1] http://www.audiorecording.me/fast-fourier-transform-to-view-audio-frequency-spectrum.html

     
  • karen alarcon 7:05 am on May 14, 2017 Permalink | Reply
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    Symmetry in Complex Networks 

    Many real world networks are symmetric. In the research conducted by Ben McArthur, Sanchez-Garcia and Anderson, they’ve found out that a certain degree of symmetry is also ubiquitous in complex systems. They investigated the origin and form of real-world network symmetry and its effect on network function.

    Many networks – for example the internet and the world-wide web are “growing” (that is new vertices are added to the network over time). Generally any growth process which allows for new vertices to the network one at a time generally leads to a network with locally-tree-like regions. Such locally tree-like areas are common in real-world networks and their presence is important because while majority of large graphs are assymetric, it is common for large random trees to exhibit a high degree of symmetry, deriving from presence of identical branches about the same fork. Thus, we can expect that certain degree of tree-like symmetry to be present in many real-world networks. [1]

    Reference:
    [1] http://www.sciencedirect.com/science/article/pii/S0166218X08001881

     
  • karen alarcon 6:56 am on May 14, 2017 Permalink | Reply  

    Symmetry in Complex Networks 

    Many real world networks are symmetric. In the research conducted by Ben McArthur, Sanchez-Garcia and Anderson, they’ve found out that a certain degree of symmetry is also ubiquitous in complex systems. They investigated the origin and form of real-world network symmetry and its effect on network function.

    Many networks – for example the internet and the world-wide web are “growing” (that is new vertices are added to the network over time). Generally any growth process which allows for new vertices to the network one at a time generally leads to a network with locally-tree-like regions. Such locally tree-like areas are common in real-world networks and their presence is important because while majority of large graphs are assymetric, it is common for large random trees to exhibit a high degree of symmetry, deriving from presence of identical branches about the same fork. Thus, we can expect that certain degree of tree-like symmetry to be present in many real-world networks.

     
  • karen alarcon 8:52 am on January 29, 2017 Permalink | Reply
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    Vectors in Data Mining and Pattern Recognition 

    Data Mining (sometimes called data or knowledge discovery) is the process of analyzing data from different perspectives and summarizing it into useful information. [1]

    Pattern recognition is often considered to be a technique separate from data
    mining, but its definition is related: “the act of taking in raw data and making
    an action based on the ‘category’ of the pattern. [2]

    There are numerous application areas for data mining, ranging from e-business
    to bioinformatics, from scientific applications such as the classification of volcanos on Venus to information retrieval and Internet search engines.

    Linear algebra and data analysis are basic ingredients in many data mining techniques and to treat data by mathematical methods, it needs structures such as matrix and vectors to analyze and predict patterns.

    tableau-visualization-using-sap-business-warehouse

    image source: http://data-informed.com/wp-content/uploads/2012/05/Tableau-visualization-using-SAP-Business-Warehouse.jpg

    silverlight-executive-dashboard

    image source: http://www.dashboardinsight.com/CMS/3b3fc941-bad0-427c-9015-b6acf58ea8a1/Silverlight-executive-dashboard.png

    References:
    [1] Data Mining: What is Data Mining? (n.d.). Retrieved January 29, 2017, from http://www.anderson.ucla.edu/faculty/jason.frand/teacher/technologies/palace/datamining.htm

    [2] Vectors and Matrices in Data Mining and Pattern Recognition, from https://www.siam.org/books/fa04/FA04chapter1.pdf

     
  • karen alarcon 12:11 pm on January 20, 2017 Permalink | Reply
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    Hi there! 

    What’s your name?
    My name is Karen. Call me K for short. short na yan ah, K na ba? hehe!

    What were your thoughts when you enrolled in this course?
    As the description suggests, it’s all about math.. and I think I have to dedicated more time to it since medyo limot and bago pa sakin yung ibang topics.

    Also, I was surprised when I learned the instructor is young because I thought that I’d have the classic math teacher but suprisingly not. This is my first time to have Sir Paul as my prof and I’m glad that he takes advantage of the available technologies such this blog which serves as an alternative gateway to give the student an avenue to express their thoughts and interests on the course.. tska plus points din ung mga interesting activities sa loob ng classroom. nakakaaliw. hehe! I just hope that I’ll enjoy throughout the sem because I am at the moment 🙂 …

    How comfortable are you with math?
    I’m ok with math. I find it challenging and exciting but I think I should take some readings, review and practice so that I’ll be able to pass the course.

    What’s your dominant feeling right now?
    excited and pressured because i need to read a lot and recall previous math topics because it’s been so long since i graduated.

     
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