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ME3255S2017/lecture_03/lecture_03.ipynb

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Matlab basic use\n",
"## 1- the environment, path and working directory"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Matlab environment can be called by:\n",
"1. Starting the matlab executable (the gui)\n",
"2. Starting a jupyter notebook with Matlab kernel\n",
"3. Starting matlab with command-line interface (no gui)\n",
"\n",
"The main requirement is that matlab kernel (main matlab program) is running and accepting commands\n",
"\n",
"When you start, you can call matlab built-in functions or anything you write that is in your `MATLABPATH` or working directory (`pwd`)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
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"\t/usr/local/MATLAB/R2016a/toolbox/slcontrol/slctrlguis\n",
"\t/usr/local/MATLAB/R2016a/toolbox/slcontrol/slctrlutil\n",
"\t/usr/local/MATLAB/R2016a/toolbox/slcontrol/slctrlobsolete\n",
"\t/usr/local/MATLAB/R2016a/toolbox/matlab/spf/matlabservices\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/dsp/dialog\n",
"\t/usr/local/MATLAB/R2016a/toolbox/imaq/imaqdemos\n",
"\t/usr/local/MATLAB/R2016a/toolbox/symbolic/symbolicdemos\n",
"\t/usr/local/MATLAB/R2016a/toolbox/instrument/instrument\n",
"\t/usr/local/MATLAB/R2016a/toolbox/instrument/instrumentblks/instrumentblks\n",
"\t/usr/local/MATLAB/R2016a/toolbox/instrument/instrumentblks/instrumentmex\n",
"\t/usr/local/MATLAB/R2016a/toolbox/instrument/instrumentblks/instrumentmasks\n",
"\t/usr/local/MATLAB/R2016a/toolbox/eml/eml\n",
"\t/usr/local/MATLAB/R2016a/toolbox/coder/profile\n",
"\t/usr/local/MATLAB/R2016a/toolbox/database/database\n",
"\t/usr/local/MATLAB/R2016a/toolbox/database/vqb\n",
"\t/usr/local/MATLAB/R2016a/toolbox/map/mapdemos\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/cxxfe_mi/cxxfe_mi\n",
"\t/usr/local/MATLAB/R2016a/toolbox/stats/mlearnapp\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/eda/fpgaautomation\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/eda/fpgaautomation/obsolete\n",
"\t/usr/local/MATLAB/R2016a/toolbox/comm/commdemos\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/pe/pedemos\n",
"\t/usr/local/MATLAB/R2016a/toolbox/slrequirements\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/slcontrollib\n",
"\t/usr/local/MATLAB/R2016a/toolbox/geoweb/geoweb\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/configset\n",
"\t/usr/local/MATLAB/R2016a/toolbox/comm/cdma2000\n",
"\t/usr/local/MATLAB/R2016a/toolbox/signal/signalanalyzer\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotics\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/can\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/can/canblks\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/can/canmasks\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/can/canmex\n",
"\t/usr/local/MATLAB/R2016a/toolbox/simulink/fixedandfloat\n",
"\t/usr/local/MATLAB/R2016a/toolbox/simulink/fixedandfloat/obsolete\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/common/data/mli/m\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/sm/foundation/mech\n",
"\t/usr/local/MATLAB/R2016a/toolbox/imaq/imaq\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/pm_visimpl/pm_visimpl\n",
"\t/usr/local/MATLAB/R2016a/toolbox/bioinfo/biodemos\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/sigbldr\n",
"\t/usr/local/MATLAB/R2016a/toolbox/dsp/dsp\n",
"\t/usr/local/MATLAB/R2016a/toolbox/dsp/dsputilities\n",
"\t/usr/local/MATLAB/R2016a/toolbox/dsp/dsputilities/dspinit\n",
"\t/usr/local/MATLAB/R2016a/toolbox/dsp/dsputilities/dspmex\n",
"\t/usr/local/MATLAB/R2016a/toolbox/dsp/dsp/compiled\n",
"\t/usr/local/MATLAB/R2016a/toolbox/symbolic/symbolic\n",
"\t/usr/local/MATLAB/R2016a/toolbox/optim/optimdemos\n",
"\t/usr/local/MATLAB/R2016a/toolbox/curvefit/curvefitdemos\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/instrument\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/common/external/library/m\n",
"\t/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/slproject\n",
"\t/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/slproject/menu\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/mech/mech\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/mech/importer\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/simulation_data_repository\n",
"\t/usr/local/MATLAB/R2016a/help/toolbox/control/examples\n",
"\t/usr/local/MATLAB/R2016a/help/toolbox/vision/examples\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo/meascontrol\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo/power_utility\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/sm/ssci/m\n",
"\t/usr/local/MATLAB/R2016a/toolbox/simulink/sl_async_streaming\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/simulink/slcheck_services\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/measure\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo/simple\n",
"\t/usr/local/MATLAB/R2016a/toolbox/coder/trace\n",
"\t/usr/local/MATLAB/R2016a/toolbox/compiler_sdk\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/diagnostic\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/templates\n",
"\t/usr/local/MATLAB/R2016a/toolbox/sldv/sldvdemos\n",
"\t/usr/local/MATLAB/R2016a/toolbox/simulink/sta/repository\n",
"\t/usr/local/MATLAB/R2016a/toolbox/simulink/sta/repository/util\n",
"\t/usr/local/MATLAB/R2016a/toolbox/stats/stats\n",
"\t/usr/local/MATLAB/R2016a/toolbox/stats/classreg\n",
"\t/usr/local/MATLAB/R2016a/toolbox/stats/clustering\n",
"\t/usr/local/MATLAB/R2016a/toolbox/hdlcoder/hdllib/ml_lib\n",
"\t/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/iodata/ioformat\n",
"\t/usr/local/MATLAB/R2016a/toolbox/matlab/audiovideo\n",
"\t/usr/local/MATLAB/R2016a/toolbox/matlab/webcam\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/mldatx\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robust/robust\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robust/rctlmi\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robust/rctutil\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robust/rctobsolete/robust\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robust/rctobsolete/lmi\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robust/rctobsolete/mutools/commands\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robust/rctobsolete/mutools/subs\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/codeinstrum/codeinstrum\n",
"\t/usr/local/MATLAB/R2016a/toolbox/control/control\n",
"\t/usr/local/MATLAB/R2016a/toolbox/control/ctrlmodels\n",
"\t/usr/local/MATLAB/R2016a/toolbox/control/ctrlanalysis\n",
"\t/usr/local/MATLAB/R2016a/toolbox/control/ctrldesign\n",
"\t/usr/local/MATLAB/R2016a/toolbox/control/ctrlplots\n",
"\t/usr/local/MATLAB/R2016a/toolbox/control/ctrlguis\n",
"\t/usr/local/MATLAB/R2016a/toolbox/control/ctrlobsolete\n",
"\t/usr/local/MATLAB/R2016a/toolbox/control/ctrlutil\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/simscape/compiler/sli/m\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/dastudio\n",
"\t/usr/local/MATLAB/R2016a/toolbox/stats/statsdemos\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/curvefitlib\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/slpir\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/eda/fpgabase\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/common/dataservices/mli/m\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/hdlshared/hdlshared_gui\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/eda/hdlparser\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/network_engine/network_engine\n",
"\t/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/intelhost/tfl\n",
"\t/usr/local/MATLAB/R2016a/toolbox/coder/coverage\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/dsp/hdl\n",
"\t/usr/local/MATLAB/R2016a/toolbox/matlab/spf/matlabhost\n",
"\t/usr/local/MATLAB/R2016a/toolbox/mpc/mpc\n",
"\t/usr/local/MATLAB/R2016a/toolbox/mpc/mpcguis\n",
"\t/usr/local/MATLAB/R2016a/toolbox/mpc/mpcobsolete\n",
"\t/usr/local/MATLAB/R2016a/toolbox/mpc/mpcutils\n",
"\t/usr/local/MATLAB/R2016a/toolbox/simulink/slexportprevious\n",
"\t/usr/local/MATLAB/R2016a/toolbox/sl3d/sl3d\n",
"\t/usr/local/MATLAB/R2016a/toolbox/comm/comm\n",
"\t/usr/local/MATLAB/R2016a/toolbox/comm/commutilities/comminit\n",
"\t/usr/local/MATLAB/R2016a/toolbox/comm/commutilities/commmex\n",
"\t/usr/local/MATLAB/R2016a/toolbox/comm/commutilities\n",
"\t/usr/local/MATLAB/R2016a/toolbox/comm/commdeprecated\n",
"\t/usr/local/MATLAB/R2016a/toolbox/comm/comm/compiled\n",
"\t/usr/local/MATLAB/R2016a/toolbox/coder/connectivity\n",
"\t/usr/local/MATLAB/R2016a/toolbox/rtw/targets/connectivity\n",
"\t/usr/local/MATLAB/R2016a/toolbox/simulink/slhistory\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/simscape/templates\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/spreadsheet\n",
"\t/usr/local/MATLAB/R2016a/toolbox/fixpoint\n",
"\t/usr/local/MATLAB/R2016a/toolbox/fixpoint/fpca\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robotics/ros\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/ne_sli/ne_sli\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/dsp/simulink/dsp\n",
"\t/usr/local/MATLAB/R2016a/toolbox/matlab/system\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/eda/fil\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/eda/fil/filmapi\n",
"\t/usr/local/MATLAB/R2016a/toolbox/coder/rtiostream\n",
"\t/usr/local/MATLAB/R2016a/toolbox/pde\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powersys\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/hotpluglib\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/multimedia\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/testmeaslib/graphics\n",
"\t/usr/local/MATLAB/R2016a/toolbox/matlab/addons_toolbox\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/imageslib\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/pm_sli/pm_sli\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/dastudio/seqdiagram\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/sm/templates\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/sm/gui/m\n",
"\t/usr/local/MATLAB/R2016a/toolbox/ident/ident\n",
"\t/usr/local/MATLAB/R2016a/toolbox/ident/nlident\n",
"\t/usr/local/MATLAB/R2016a/toolbox/ident/idobsolete\n",
"\t/usr/local/MATLAB/R2016a/toolbox/ident/idguis\n",
"\t/usr/local/MATLAB/R2016a/toolbox/ident/idutils\n",
"\t/usr/local/MATLAB/R2016a/toolbox/ident/idrecursive\n",
"\t/usr/local/MATLAB/R2016a/toolbox/ident/idhelp\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo/machines\n",
"\t/usr/local/MATLAB/R2016a/toolbox/target/extensions/operatingsystem/windows/blks\n",
"\t/usr/local/MATLAB/R2016a/toolbox/target/extensions/operatingsystem/windows/blks/masks\n",
"\t/usr/local/MATLAB/R2016a/toolbox/target/extensions/operatingsystem/windows/blks/mex\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/networklib\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/sm/sli/m\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/sm/sm/m\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/advisor\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/filterdesignlib\n",
"\t/usr/local/MATLAB/R2016a/toolbox/matlab/connector/connector\n",
"\t/usr/local/MATLAB/R2016a/toolbox/idelink/foundation\n",
"\t/usr/local/MATLAB/R2016a/toolbox/idelink/foundation/util\n",
"\t/usr/local/MATLAB/R2016a/toolbox/idelink/foundation/errorhandler\n",
"\t/usr/local/MATLAB/R2016a/toolbox/idelink/foundation/xmakefile\n",
"\t/usr/local/MATLAB/R2016a/toolbox/idelink/foundation/hookpoints\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/comparisons\n",
"\t/usr/local/MATLAB/R2016a/toolbox/signal/sigdemos\n",
"\t/usr/local/MATLAB/R2016a/toolbox/matlab/configtools\n",
"\t/usr/local/MATLAB/R2016a/toolbox/simbio/simbio\n",
"\t/usr/local/MATLAB/R2016a/toolbox/matlab/external/interfaces/python\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/m3i\n",
"\t/usr/local/MATLAB/R2016a/toolbox/matlab/toolstrip\n",
"\t/usr/local/MATLAB/R2016a/toolbox/dsp/dspdeployabledemos\n",
"\t/usr/local/MATLAB/R2016a/toolbox/slvnv/styleguide\n",
"\t/usr/local/MATLAB/R2016a/help/toolbox/robust/examples\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/deviceplugindetection\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/simscape/compiler/mli/m\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/gui/gfx/m\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/sm/import/m\n",
"\t/usr/local/MATLAB/R2016a/toolbox/compiler/java\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/pe/utils/m\n",
"\t/usr/local/MATLAB/R2016a/toolbox/rtw/rtw\n",
"\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation\n",
"\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation/build\n",
"\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation/build/tools/registry\n",
"\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation/tfl\n",
"\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation/tfl/AUTOSAR/AUTOSAR4p0/IFX\n",
"\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation/tfl/AUTOSAR/AUTOSAR4p0/IFL\n",
"\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation/tfl/gui\n",
"\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation/templates\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/simtargets\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/mech/mechdemos\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/maputils\n",
"\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation/passmanager\n",
"\t/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/iodata/iomap\n",
"\t/usr/local/MATLAB/R2016a/toolbox/fininst/fininstdemos\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nncontrol\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnadapt\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nndatafun\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnderivative\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nndistance\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nndivision\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nninitlayer\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nninitnetwork\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nninitweight\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnlearn\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnnetfun\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnnetinput\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnnetwork\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnperformance\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnplot\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnprocess\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnsearch\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nntopology\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nntrain\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nntransfer\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnweight\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnguis\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnobsolete\n",
"\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnutils\n",
"\t/usr/local/MATLAB/R2016a/toolbox/matlab/addons_product\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/tracking/trackinglib\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/simulink/sysarch/sysarch\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/slreportgen/reportexplorer\n",
"\t/usr/local/MATLAB/R2016a/toolbox/coder/embeddedcoder_templates\n",
"\t/usr/local/MATLAB/R2016a/toolbox/coder/wizard\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/sm/core/m\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/ros\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/ros/helpers\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotalgs\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotalgs/helpers\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotcore\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotcore/helpers\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotsimulink\n",
"\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotsimulink/helpers\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine/numerics\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine/options\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine/optim\n",
"\t/usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine/blocks\n",
"\t/usr/local/MATLAB/R2016a/toolbox/dsp/filterdesign\n",
"\t/usr/local/MATLAB/R2016a/toolbox/finance/findemos\n",
"\t/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/facts/facts\n"
]
}
],
"source": [
"path"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
"/home/ryan/Documents/UConn/ME3255/me3255_S2017/lecture_03\n"
]
}
],
"source": [
"pwd"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"path"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Assignments (`=`-operator)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Matlab is interpreted language so each line of code (either saved text file or command-line) is executed as a standalone command\n",
"\n",
"These are reffered to \"scripts\""
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
" 40\n"
]
}
],
"source": [
"a=10; % line one assigns a to 10\n",
"b=a*3; % line two assigns b to 10 times 3 by calling 'a' from line one\n",
"a+b % line three does not assign anything directly, but leaving off the \";\" prints the result\n",
" % ans"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Matlab has a number of \"objects\" that you can assign to variables\n",
"1. arrays (vectors and matrices `[`...`]`) \n",
"2. strings (text `\"`...`\"` )\n",
"3. cells (combination of strings, text, even function calls `{`...`}`)\n",
"3. functions (both built-in, defined or developed)\n",
"4. and more... (classes defined by `classdef` - you can create your own object to help organize data)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1- Arrays"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Default in matlab is that when you assign a value to a variable, it is stored as an array\n",
"\n",
"arrays are N x M x ... values of integers or floating point numbers or complex integers/floating point numbers\n",
"\n",
"Use the parantheses to access values in an array `...(n,m)`"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
" 1\n"
]
}
],
"source": [
"a=10; % a is 1x1 array where a(1,1)==10\n",
"a(1,1)==10\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"\u001b[0;31mIndex exceeds matrix dimensions.\n",
"\u001b[0m"
]
}
],
"source": [
"a(2)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"A =\n",
"\n",
" 1 2 3\n",
" 4 5 6\n",
" 7 8 9\n",
" 10 11 12\n",
"\n",
"size of A is 4 x 3\n",
"\n",
"ans =\n",
"\n",
" 7\n",
"\n",
"\n",
"ans =\n",
"\n",
" 5\n"
]
}
],
"source": [
"A = [1 2 3;4,5,6;7,8,9;10,11,12]\n",
"fprintf('size of A is %i x %i\\n',size(A))\n",
"A(3,1)\n",
"A(6)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"vectors are either 1xN or Nx1 arrays for row and column"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"v_row =\n",
"\n",
" 1 2 3\n",
"\n",
"\n",
"v_column =\n",
"\n",
" 1\n",
" 2\n",
" 3\n"
]
}
],
"source": [
"v_row = [1,2,3] %row vector\n",
"v_column = [1;2;3] %column vector\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Matrices are MxN arrays\n",
"the `:`-symbol can substitute for a counting"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
" 1 2 3\n"
]
}
],
"source": [
"A(1,:) % the colon assumes you want the first value, 1, counting up by 1 to the last value, 4"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can also use every 2nd value or any other integer up to `end` which is the largest value of that row or column of the array"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
" 1\n",
" 7\n"
]
}
],
"source": [
"A(1:2:end,1) % you can also use `end` "
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
" 1\n",
" 4\n",
" 7\n",
" 10\n",
" 2\n",
" 5\n",
" 8\n",
" 11\n",
" 3\n",
" 6\n",
" 9\n",
" 12\n"
]
}
],
"source": [
"A(:)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In general, arrays can be any size \n",
"\n",
"take rolling 4 die and determining the sum of the components"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"A_6666 = zeros(6,6,6,6); %make a 6 x 6 x 6 x 6 array (1296 different values)\n",
"for i=1:6\n",
" for j=1:6\n",
" for k=1:6\n",
" for l=1:6\n",
" A_6666(i,j,k,l)=i+j+k+l; % each value is the sum of the indices\n",
" end\n",
" end\n",
" end\n",
"end\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
" 14\n",
"\n",
"\n",
"ans =\n",
"\n",
" 3.4170\n"
]
}
],
"source": [
"mean(A_6666(:))\n",
"std(A_6666(:))"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
" 12\n"
]
}
],
"source": [
"A_6666(1,4,2,5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Cells combine different size arrays and text\n",
"### but, you cannot use math operators 'binary operators'"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"C={};\n",
"C{1}=linspace(0,1,10);\n",
"C{2}=linspace(0,1,3);\n",
"C{'z'}='holy cow';"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
" 3.5185\n"
]
}
],
"source": [
"C{1}*C{1}'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Strings can be combined and printed"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
"computational mechanics\n"
]
}
],
"source": [
"string1 = 'computational'; string2 = 'mechanics';\n",
"[string1, ' ', string2]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"use `fprintf` to format strings and numbers for output and `sprintf` to save variables\n"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"computational mechanics\n",
"\n",
"\n",
"string =\n",
"\n",
"the dog had 4 legs and weighed 10.0 lbs\n"
]
}
],
"source": [
"fprintf([string1,' ',string2,'\\n\\n'])\n",
"string = sprintf('the dog had %i legs and weighed %1.1f lbs',4,10.0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"the `\\` signifies a special character e.g. `\\n` = newline, `\\t` = tab\n",
"\n",
"to actually print the \"\\\", use `\\\\`"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\\\n"
]
}
],
"source": [
"fprintf('\\\\')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## This is helpful to create reports of computed data"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
" 23\n",
"\n",
"\n",
"ans =\n",
"\n",
" 1\n",
"\n",
"\n",
"ans =\n",
"\n",
" 39\n",
"\n",
"\n",
"ans =\n",
"\n",
" 1\n",
"\n",
"\n",
"ans =\n",
"\n",
" 14\n"
]
}
],
"source": [
"%fid = fopen('file.txt','w');\n",
"fprintf(fid,[string1, ' ', string2])\n",
"fprintf(fid,'\\n')\n",
"fprintf(fid,string)\n",
"fprintf(fid,'\\n')\n",
"fprintf(fid,'are you awake?')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Math operators (=, +, -, /, *, ^)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Because matlab assumes all variables are matrices, then all operators are matrix operations"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans = 20\r\n"
]
}
],
"source": [
"a+a % add two 1x1 arrays"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
" 2 4 6\n",
" 8 10 12\n",
" 14 16 18\n",
" 20 22 24\n",
"\n"
]
}
],
"source": [
"A+A % add two 4 x 3 arrays"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
" 14 32 50 68\n",
" 32 77 122 167\n",
" 50 122 194 266\n",
" 68 167 266 365\n"
]
}
],
"source": [
"A*A'"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
" 1 4 9\n",
" 16 25 36\n",
" 49 64 81\n",
" 100 121 144\n"
]
}
],
"source": [
"A.^2"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
" 1 4 9\n",
" 16 25 36\n",
" 49 64 81\n",
" 100 121 144\n"
]
}
],
"source": [
"A.*A"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[\b> In pymat_eval (line 31)\n",
" In matlabserver (line 24)]\b \n",
"[\bWarning: Rank deficient, rank = 2, tol = 1.696862e-14.]\b \n",
"\n",
"ans =\n",
"\n",
" 1.0000 0 0 -0.0000\n",
" 0.6667 0 0 0.3333\n",
" 0.3333 0 0 0.6667\n",
" 0.0000 0 0 1.0000\n"
]
}
],
"source": [
"A/A"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"/ Slash or right matrix divide.\n",
" A/B is the matrix division of B into A, which is roughly the\n",
" same as A*INV(B) , except it is computed in a different way.\n",
" More precisely, A/B = (B'\\A')'. See MLDIVIDE for details.\n",
" \n",
" C = MRDIVIDE(A,B) is called for the syntax 'A / B' when A or B is an\n",
" object.\n",
" \n",
" See also MLDIVIDE, RDIVIDE, LDIVIDE.\n",
"\n",
" Reference page in Doc Center\n",
" doc mrdivide\n",
"\n",
" Other functions named mrdivide\n",
"\n",
" codistributed/mrdivide gf/mrdivide laurpoly/mrdivide\n",
" duration/mrdivide gpuArray/mrdivide StaticModel/mrdivide\n",
" DynamicSystem/mrdivide LagOp/mrdivide timeseries/mrdivide\n",
" fints/mrdivide\n"
]
}
],
"source": [
"help /"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To accomplish one-by-one operations, need to include a `.`"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
" 1 1 1\n",
" 1 1 1\n",
" 1 1 1\n",
" 1 1 1\n",
"\n"
]
}
],
"source": [
"A./A"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"But, for 1x1 arrays, these are considered scalars and you get a free-pass"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
" 10 20 30\n",
" 40 50 60\n",
" 70 80 90\n",
" 100 110 120\n",
"\n"
]
}
],
"source": [
"a*A % where a=10 and A is 1:12 in a 3 x 4 matrix"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Some built in Matlab functions (e.g. the reasons to run Matlab)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t_linear =\n",
"\n",
" Columns 1 through 7\n",
"\n",
" 0 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000\n",
"\n",
" Columns 8 through 11\n",
"\n",
" 0.7000 0.8000 0.9000 1.0000\n"
]
}
],
"source": [
"t_linear=linspace(0,1,11)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t_log =\n",
"\n",
" 1 10 100\n"
]
}
],
"source": [
"t_log = logspace(0,2,3) % log interval from 10^0 to 10^2 split into 3 values"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"'logspace' is a function from the file /usr/share/octave/4.0.0/m/general/logspace.m\n",
"\n",
" -- Function File: logspace (A, B)\n",
" -- Function File: logspace (A, B, N)\n",
" -- Function File: logspace (A, pi, N)\n",
" Return a row vector with N elements logarithmically spaced from\n",
" 10^A to 10^B.\n",
"\n",
" If N is unspecified it defaults to 50.\n",
"\n",
" If B is equal to pi, the points are between 10^A and pi, _not_ 10^A\n",
" and 10^pi, in order to be compatible with the corresponding MATLAB\n",
" function.\n",
"\n",
" Also for compatibility with MATLAB, return the second argument B if\n",
" fewer than two values are requested.\n",
"\n",
" See also: linspace.\n",
"\n",
"Additional help for built-in functions and operators is\n",
"available in the online version of the manual. Use the command\n",
"'doc <topic>' to search the manual index.\n",
"\n",
"Help and information about Octave is also available on the WWW\n",
"at http://www.octave.org and via the help@octave.org\n",
"mailing list.\n"
]
}
],
"source": [
"help logspace"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## When using the command prompt, anything in your path or working directory can be run either as a script, function or class (to define objects)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%myscript"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%plot --format svg"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"When using the GUI, your command history is saved, but it is better to save your work either as a script or a function or combination of both\n",
"\n",
"Creating a default graph script:"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"set(0, 'defaultAxesFontSize', 16)\n",
"set(0,'defaultTextFontSize',14)\n",
"set(0,'defaultLineLineWidth',3)"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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IsrIy41QFAGB+mMzbxFi8GCsSiWJjYwkhfn5+hYWFpaWlUVFR9vb27u7uGsfd8Xi88+fP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\ncAICCQAAOAGBBAAAnPD/AHltgbQ+BHrdAAAAAElFTkSuQmCC\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(t_linear,t_linear.^2)\n",
"xlabel('time (s)')\n",
"ylabel('displacement (m)')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#EOL"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Graphics can be produced with a number of functions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"2-D plots, 3-D plots, contour plots, 3D contour plots ... "
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Z =\n",
"\n",
" Columns 1 through 8:\n",
"\n",
" 0.00000 0.17100 0.28800 0.35700 0.38400 0.37500 0.33600 0.27300\n",
" -0.17100 0.00000 0.12240 0.20160 0.24300 0.25200 0.23400 0.19440\n",
" -0.28800 -0.12240 0.00000 0.08400 0.13440 0.15600 0.15360 0.13200\n",
" -0.35700 -0.20160 -0.08400 0.00000 0.05460 0.08400 0.09240 0.08400\n",
" -0.38400 -0.24300 -0.13440 -0.05460 0.00000 0.03300 0.04800 0.04860\n",
" -0.37500 -0.25200 -0.15600 -0.08400 -0.03300 0.00000 0.01800 0.02400\n",
" -0.33600 -0.23400 -0.15360 -0.09240 -0.04800 -0.01800 0.00000 0.00840\n",
" -0.27300 -0.19440 -0.13200 -0.08400 -0.04860 -0.02400 -0.00840 0.00000\n",
" -0.19200 -0.13860 -0.09600 -0.06300 -0.03840 -0.02100 -0.00960 -0.00300\n",
" -0.09900 -0.07200 -0.05040 -0.03360 -0.02100 -0.01200 -0.00600 -0.00240\n",
" 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000\n",
" 0.09900 0.07200 0.05040 0.03360 0.02100 0.01200 0.00600 0.00240\n",
" 0.19200 0.13860 0.09600 0.06300 0.03840 0.02100 0.00960 0.00300\n",
" 0.27300 0.19440 0.13200 0.08400 0.04860 0.02400 0.00840 -0.00000\n",
" 0.33600 0.23400 0.15360 0.09240 0.04800 0.01800 -0.00000 -0.00840\n",
" 0.37500 0.25200 0.15600 0.08400 0.03300 0.00000 -0.01800 -0.02400\n",
" 0.38400 0.24300 0.13440 0.05460 -0.00000 -0.03300 -0.04800 -0.04860\n",
" 0.35700 0.20160 0.08400 -0.00000 -0.05460 -0.08400 -0.09240 -0.08400\n",
" 0.28800 0.12240 0.00000 -0.08400 -0.13440 -0.15600 -0.15360 -0.13200\n",
" 0.17100 -0.00000 -0.12240 -0.20160 -0.24300 -0.25200 -0.23400 -0.19440\n",
" 0.00000 -0.17100 -0.28800 -0.35700 -0.38400 -0.37500 -0.33600 -0.27300\n",
"\n",
" Columns 9 through 16:\n",
"\n",
" 0.19200 0.09900 0.00000 -0.09900 -0.19200 -0.27300 -0.33600 -0.37500\n",
" 0.13860 0.07200 0.00000 -0.07200 -0.13860 -0.19440 -0.23400 -0.25200\n",
" 0.09600 0.05040 0.00000 -0.05040 -0.09600 -0.13200 -0.15360 -0.15600\n",
" 0.06300 0.03360 0.00000 -0.03360 -0.06300 -0.08400 -0.09240 -0.08400\n",
" 0.03840 0.02100 0.00000 -0.02100 -0.03840 -0.04860 -0.04800 -0.03300\n",
" 0.02100 0.01200 0.00000 -0.01200 -0.02100 -0.02400 -0.01800 0.00000\n",
" 0.00960 0.00600 0.00000 -0.00600 -0.00960 -0.00840 0.00000 0.01800\n",
" 0.00300 0.00240 0.00000 -0.00240 -0.00300 0.00000 0.00840 0.02400\n",
" 0.00000 0.00060 0.00000 -0.00060 0.00000 0.00300 0.00960 0.02100\n",
" -0.00060 0.00000 0.00000 0.00000 0.00060 0.00240 0.00600 0.01200\n",
" 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000\n",
" 0.00060 -0.00000 0.00000 0.00000 -0.00060 -0.00240 -0.00600 -0.01200\n",
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}
],
"source": [
"x=linspace(-1,1,21); y=linspace(-1,1,21);\n",
"[X,Y]=meshgrid(x,y);\n",
"Z=(X.*Y.^3-X.^3.*Y)"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {
"collapsed": false
},
"outputs": [
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