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Simulation
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Mathematics based
simulation (in CDF)
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other programs
relating to animation and simulation. |
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Signal/Image processing
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My dsp Mathematica package.
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Butterworth low pass normalized polynomials up to order 20.
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Butterworth low pass analog filter H(s) design.
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IIR low pass digital filter using based on Butterworth.
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Computed Tomography
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On scaling factors in Matlab fft().
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Fourier series/Fourier transform/DFT and FFT diagram.
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A graphical method to perform circular convolution.
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On FFT and IFFT in Maple and Matlab.
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Finding Euler circuits in connected graphs using the Fleury algorithm.
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DVD software.MPEG-2 decoding.
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Image Restoration by Inverse Filtering In the Frequency Domain.
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Using simulink to make an FM modulator
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Sampling theory diagrams. cal poly pomona 2010.
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Mapping H(s) to H(z).
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Linear algebra and numerical solutions
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methods to solve PDE's using finite difference methods.
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Mapping Lapack functions to Matlab, Ada, and Mathematica functions.
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Iterative solution to differential equations.
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Matlab program to illustrate eigenvalues of the weighted Jacobian iteration matrix as a function of the weight omega.
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Comparing total error against truncation error at each grid point resulting from the numerical solution of u''(x)=f(x) when using finite difference discretization
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2D laplace pde on square grid using Mathematica in symbolic form.
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Solving the advection PDE numerically using finite difference methods.
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Taylor Series approximation in single and double precision.
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Report on similarity transformation and singular value decomposition (SVD).
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LU decomposition in Matlab.
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Using Matlab ode45.
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Penta-diagonal system solver.
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Algorithm and matlab implementation to solve the following: Let S denotes the set of all NxN matrices with 0 or 1 entries. Let T be the subset of all matrices in S such that if entry is 1, then its nearest neighborhoods is zero. This algorithm finds T.
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Some of my matlab functions, started to document them. many more to add...
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started to collect here some finite difference formulas.
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small Ada package
to solve advection ODE in 1D using Ada 2005 OO features.
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Engineering mechanics
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Solving the double pendulum problem using F=ma and energy
method (Lagrangian).
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my dynamics cheat sheet.
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small example showing how to solve the rolling disk inside another rolling
disk dynamics problem using Lagrangian calculated using symbolic Mathematica.
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PDF
Review of screw axis kinematics. UCI. 2006.
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Deformation gradient tensor. UCI. 2006
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On the different stress measures in deformed solids. Report for UCI course on computational mechanics given by professor Satya N. Atluri.
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modal analysis using Mathematica
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papers, patent and awards
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On using PCA algorithm for cancer detection by analysis of microarray data.
2007 World Congress on Bioengineering Proceedings.
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Mathematics of HYPR, Co-author on Mathematics of HYPR. First Author is Dr Angel Pineda,
Mathematics dept. California State University, Fullerton, who was our
final year MRI project supervisor. Presented by Dr Pineda at the annual
meeting of the International Society of Magnetic Resonance in Medicine
ISMRM 2009 Annual Meeting in Honolulu, Hawaii, USA.
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PCR software algorithm patent.
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Wolfram Research award in computational sciences,CSUF April 2008.
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Academic achievement award, CSU Fullerton, May 2009.
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School life
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Courses taken.
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Pictures of some of the universities I went to.
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Some US school rankings.
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Old items
This is a pic of the first PC I bought. This is Dell himself in the Ad. |
This is my reservation to go on the space shuttle on one of the first Thomas Cook commercial flights. |
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Unix/Linux and networking
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PDF
Small note on how system calls work in Linux written long time ago when I was learning linux.
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Analyzing MBR structure on Intel PC running Linux.
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PDF
Small report on SNA to DECnet network communication architecture. I wrote this in June 1995.
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PDF
Report on SNMP trap processing.
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How-To pages
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Using Mathematica, Matlab and Maple to solve basic problems.
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Main HOWTO. Networking, Unix, and other general topics.
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my Maple FAQ.
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My Mathematica FAQ.
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Matlab notes.
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Control systems
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Control
an inverted pendulum on moving cart by pole placement.
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Response of
closed loop system.
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How to tune a PID controller.
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Impulse response of critically and overdamped systems.
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Design of a LEO to GEO orbit with 3 stages rocket. Course report at UCI in 2003.
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Statistics related
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Statistics simulation notes, CSUF 2007.
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Mathematica 6 statistics functions.
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Using Mathematica to generate random numbers.
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Hidden Markov Model (HMM)
with one character look ahead, class at UC Berkeley. Fall 2002.
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Algorithm for finding all closed and transient states in a Markov chain probability transition matrix.
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Hastings-Metropolis algorithm in Mathematica.
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Finite Element Methods
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Solving second order ODE
using central difference method and finite element method.
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How to solve 1st and 2nd order ODE using Finite Element Methods.
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Worked examples using Gaussian Quadrature method for 1D case.
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Finite Elements Method to solve Poisson PDE.
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Ritz variational method and Galerkin method with a global trial function to solve for axial loaded beam.
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Derive the element stiffness matrix for a 4 degrees of freedom beam (Oct 2009).
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A Mathematica demo showing FEM solution to the axial loaded beam. See my Mathematica demos
for a player version.
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Derive the plain strain B matrix for a triangle element.
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Computer algebra
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event driven GUI with Mathematica Manipulate.
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Using zero index in Mathematica
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Kamke differential equations. Goal of this project is to solve with Maple and Mathematica all of Kamke DE. Work in progress, but will take long time. Started August 2007.
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Informal test to compare Matlab, Mathematica and Maple performance for Matrix Rank Calculation.
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Observation about functional style in Mathematica.
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History of Mathematica.
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PDF
List of new functions in Mathematica 6.0.
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Mathematica 3D scatter plot.
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Very short Introduction to Mathematica.
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CPU timing for find PI for larger and larger digits using Mathematica 6.0.2.
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What is new in Maple12.
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Listing of Maple 12 packages and functions
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newgroup traffic comparison number of newsgroups.
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Using traditional math notation in mathematica.
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Running few integation tests using rubi 2.
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How to make a package in Mathematica.
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Java
- Java packages diagram. (1.4, and J2EE). (These diagrams are hard to read). I build this diagram by browsing the full JDK source code.
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JDK1.4 beta2 and J2EE 1.2.1, all packages on one diagram.
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JDK 1.4 beta2 and J2EE 1.3 beta 2, official package only.
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JDK 1.4 beta2 only, all packages.
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J2SE 1.4 Beta2.
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PDF
Small note on Java float and ranges.
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Miscellaneous reports/notes
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Matlab
utility program to change units of a .fig file.
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My chess games.
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My Ada web page.
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my book collection.
Too many books, too little time.
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Screen shots of some Matlab GUI based application I wrote.
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Was trying
OO in Biology, but found out I know so little biology to do this.
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PDF
Survey of Volume Managers (written in Summer 1999).
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The Ascii table.
I did not do this myself. From the net. source unknown.
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comp.text.tex usage
trend 1991-2009.
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About tex4ht
problem with displayed math. Nov 2009.
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Installation of Latex2html
on windows. Nov 2009.
- old HP poster for LAN protocls.
PDF
JPG
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