matlab final
TRANSCRIPT
Practica NRO 11.1 Comando de ayuda: Matlab tiene ayuda muy bien documentada. Tipeando help matlab despliega un ndice con aclaraciones que sirven para orientarse a la hora de buscar algn comando en particular.>> help
HELP topics:
Documents\MATLAB - (No table of contents file)matlab\general - General purpose commands.matlab\ops - Operators and special characters.matlab\lang - Programming language constructs.matlab\elmat - Elementary matrices and matrix manipulation.matlab\randfun - Random matrices and random streams.matlab\elfun - Elementary math functions.matlab\specfun - Specialized math functions.matlab\matfun - Matrix functions - numerical linear algebra.matlab\datafun - Data analysis and Fourier transforms.matlab\polyfun - Interpolation and polynomials.matlab\funfun - Function functions and ODE solvers.matlab\sparfun - Sparse matrices.matlab\scribe - Annotation and Plot Editing.matlab\graph2d - Two dimensional graphs.matlab\graph3d - Three dimensional graphs.matlab\specgraph - Specialized graphs.matlab\graphics - Handle Graphics.matlab\uitools - Graphical User Interface Tools.matlab\strfun - Character strings.matlab\imagesci - Image and scientific data input/output.matlab\iofun - File input and output.matlab\audiovideo - Audio and Video support.matlab\timefun - Time and dates.matlab\datatypes - Data types and structures.matlab\verctrl - Version control.matlab\codetools - Commands for creating and debugging codematlab\helptools - Help commands.matlab\winfun - Windows Operating System Interface Files (COM/DDE)winfun\NET - Using .NET from within MATLABmatlab\demos - Examples and demonstrations.matlab\timeseries - Time series data visualization and exploration.matlab\hds - (No table of contents file)matlab\guide - Graphical User Interface Tools.matlab\plottools - Graphical User Interface Tools.toolbox\local - General preferences and configuration information.shared\controllib - Control Libraryshared\dastudio - (No table of contents file)matlab\datamanager - (No table of contents file)matlabxl\matlabxl - MATLAB Builder EXsimulink\simulink - Simulinksimulink\blocks - Simulink block library.simulink\components - Simulink components.simulink\fixedandfloat - Simulink Fixed Point utilities.fixedandfloat\fxpdemos - Simulink Fixed Point Demosfixedandfloat\obsolete - (No table of contents file)simulink\simdemos - Simulink demonstrations and examples.simdemos\aerospace - Simulink: Aerospace model demonstrations and samples.simdemos\automotive - Simulink: Automotive model demonstrations and samples.simdemos\simfeatures - Simulink: Feature demonstrations and samples.simdemos\simgeneral - Simulink: General model demonstrations and samples.simulink\dee - Differential Equation Editordastudio\depviewer - (No table of contents file)stateflow\stateflow - Stateflowrtw\rtw - Real-Time Workshopshared\sigbldr - (No table of contents file)simulink\modeladvisor - (No table of contents file)simulink\MPlayIO - (No table of contents file)shared\hdlshared - HDL Libraryrtw\accel - (No table of contents file)stateflow\sfdemos - Stateflow demonstrations and samples.stateflow\coder - Stateflow Coderrtw\rtwdemos - (No table of contents file)rtwdemos\rsimdemos - (No table of contents file)asap2\asap2 - (No table of contents file)can\blocks - (No table of contents file)configuration\resource - (No table of contents file)common\tgtcommon - (No table of contents file)targets\connectivity - (No table of contents file)targets\pil - (No table of contents file)rtwin\rtwin - Real-Time Windows Targetaero\aero - Aerospace Toolboxaero\astdemos - (No table of contents file)shared\mapgeodesy - Geometric Geodesy Functionsaeroblks\aeroblks - Aerospace Blocksetaeroblks\aerodemos - Aerospace Blockset demonstrations and examples.AUTOSAR\AUTOSAR - (No table of contents file)bioinfo\bioinfo - Bioinformatics Toolboxbioinfo\biolearning - Bioinformatics Toolbox -- Statistical Learning functions.bioinfo\microarray - Bioinformatics Toolbox -- Microarray support functions.bioinfo\mass_spec - Bioinformatics Toolbox -- Mass spectrometry data analysis functions.bioinfo\proteins - Bioinformatics Toolbox -- Protein analysis tools.bioinfo\biomatrices - Bioinformatics Toolbox -- Sequence similarity scoring matrices.bioinfo\biodemos - Bioinformatics Toolbox -- Tutorials, demos and examples.bioinfo\graphtheory - Bioinformatics Toolbox -- Graph Theory functions.c166\c166 - Target Support Package IC1c166\blocks - (No table of contents file)c166\c166demos - (No table of contents file)can\canblks - (No table of contents file)can\canmasks - (No table of contents file)can\canmex - (No table of contents file)shared\can - (No table of contents file)shared\testmeaslib - (No table of contents file)ccslink\ccslink - Embedded IDE Link CCccslink\util - (No table of contents file)ccslink\ccsblks - (No table of contents file)ccslink\ccslinkblks - (No table of contents file)ccslinkblks\rtdxsimblks - (No table of contents file)ccslink\ccsdemos - Embedded IDE Link CC Demosccsdemos\util - (No table of contents file)ccslink\mdlinfo - (No table of contents file)ccslink\tfl - (No table of contents file)ccslink\lic - (No table of contents file)ccslink\ccsblks - (No table of contents file)etargets\etargets - (No table of contents file)autointerface\util - (No table of contents file)idelinks\pjtgenerator - (No table of contents file)pjtgenerator\hookpoints - (No table of contents file)pjtgenerator\tgtpref - (No table of contents file)pjtgenerator\mdlinfo - (No table of contents file)pjtgenerator\blks - (No table of contents file)idelinks\errorhandler - (No table of contents file)blks\utils - (No table of contents file)comm\comm - Communications Toolboxcomm\commdemos - Communications Toolbox Demos.comm\examples - Communications Toolbox Documentation Examples.comm\commobsolete - Archived MATLAB Files from Communications Toolbox Version 1.5.commblks\commblks - Communications Blocksetcommblks\commmasks - Communications Blockset library block mask helper functions.commblks\commmex - Communications Blockset S-function MEX-files.commblks\commblksdemos - Communications Blockset Demos.commblksobsolete\v3 - (No table of contents file)commblksobsolete\v2p5 - (No table of contents file)commblksobsolete\v2 - (No table of contents file)toolbox\compiler - MATLAB Compilercontrol\control - Control System Toolboxcontrol\ctrlguis - Control System Toolbox -- Visualization and plot manipulation.control\ctrlobsolete - Control System Toolbox -- obsolete commands.control\ctrlutil - Control System Toolbox -- Utilities and MEX files.control\ctrldemos - Control System Toolbox -- Demos.shared\slcontrollib - Simulink Control Design Librarycurvefit\curvefit - Curve Fitting Toolboxcurvefit\cftoolgui - (No table of contents file)curvefit\sftoolgui - (No table of contents file)shared\optimlib - Optimization Toolbox Librarydaq\daq - Data Acquisition Toolboxdaq\daqguis - Data Acquisition Toolbox - Data Acquisition Soft Instruments.daq\daqdemos - Data Acquisition Toolbox - Data Acquisition Demos.daqblks\daqblks - (No table of contents file)daqblks\daqmasks - (No table of contents file)daqblks\daqmex - (No table of contents file)database\database - Database Toolboxdatabase\dbdemos - Database Toolbox Demonstration Functions.database\vqb - Visual Query Builder functions.datafeed\datafeed - Datafeed Toolboxdatafeed\dfgui - Datafeed Toolbox Graphical User Interfacedes\desblks - SimEventsdes\desmasks - (No table of contents file)des\desmex - (No table of contents file)des\desdemos - SimEvents Demos.discovery\discovery - EDA Simulator Link DSdiscovery\discoverydemos - (No table of contents file)shared\hdllink - (No table of contents file)toolbox\distcomp - Parallel Computing Toolboxdistcomp\distcomp - (No table of contents file)distcomp\user - (No table of contents file)distcomp\mpi - (No table of contents file)distcomp\pctdemos - (No table of contents file)distcomp\parallel - Parallel Algorithmsparallel\datafun - (No table of contents file)parallel\datatypes - (No table of contents file)parallel\elfun - (No table of contents file)parallel\elmat - (No table of contents file)parallel\lapack - (No table of contents file)parallel\matfun - (No table of contents file)parallel\ops - (No table of contents file)parallel\sparfun - (No table of contents file)parallel\specfun - (No table of contents file)parallel\util - (No table of contents file)distcomp\lang - Parallel computing programming language constructs.distcomp\worker - MATLAB Distributed Computing Serverdotnetbuilder\dotnetbuilder - MATLAB Builder NEdspblks\dspblks - Signal Processing Blocksetdspblks\dspmasks - Signal Processing Blockset mask helper functions.dspblks\dspmex - DSP Blockset S-Function MEX-files.dspblks\dspdemos - Signal Processing Blockset demonstrations and examples.shared\filterdesignlib - (No table of contents file)targets\ecoder - Real-Time Workshop Embedded Coderecoder\ecoderdemos - (No table of contents file)mpt\mpt - Module Packaging Featuresmpt\user_specific - (No table of contents file)econ\econ - Econometrics Toolboxecon\econdemos - Econometrics Toolbox: Demos, Examples, and Data.eml\eml - (No table of contents file)emlcoder\emlcoder - Embedded MATLAB Coder.toolbox\exlink - Spreadsheet Link EXfilterdesign\filterdesign - Filter Design Toolboxfilterdesign\quantization - (No table of contents file)filterdesign\filtdesdemos - (No table of contents file)finance\finance - Financial Toolboxfinance\calendar - Financial Toolbox calendar functions.finance\findemos - Financial Toolbox demonstration functions.finance\finsupport - (No table of contents file)finance\ftseries - Financial Toolbox Times Series Functions.finderiv\finderiv - Financial Derivatives Toolboxfinfixed\finfixed - Fixed-Income Toolboxfinfixed\finfixdemos - (No table of contents file)fixedpoint\fixedpoint - Fixed-Point Toolboxfixedpoint\fidemos - (No table of contents file)fixedpoint\fixedpointtool - (No table of contents file)toolbox\fixpoint - Simulink Fixed Pointfuzzy\fuzzy - Fuzzy Logic Toolboxfuzzy\fuzdemos - Fuzzy Logic Toolbox Demos.gads\gads - Genetic Algorithm and Direct Search Toolboxgads\gadsdemos - Genetic Algorithm and Direct Search Toolbox Demostoolbox\gauges - Gauges Blocksethdlcoder\hdlcoder - Simulink HDL Coder hdlcoder\hdlcoderdemos - Simulink HDL Coder Demoshdlfilter\hdlfilter - Filter Design HDL Coder hdlfilter\hdlfiltdemos - Filter Design HDL Coder Demosident\ident - System Identification Toolboxident\nlident - Nonlinear System Identification features. Type "help ident" for more info.ident\idobsolete - (No table of contents file)ident\idguis - (No table of contents file)ident\idutils - (No table of contents file)ident\iddemos - (No table of contents file)iddemos\examples - (No table of contents file)images\colorspaces - Image Processing Toolbox --- colorspacesimages\images - Image Processing Toolboximages\imdemos - Image Processing Toolbox --- demos and sample imagesimages\imuitools - Image Processing Toolbox --- imuitoolsimages\iptformats - Image Processing Toolbox --- File Formatsimages\iptutils - Image Processing Toolbox --- utilitiesshared\imageslib - Image Processing Toolbox Libraryshared\spcuilib - (No table of contents file)imaq\imaq - Image Acquisition Toolboxshared\imaqlib - Image Acquisition Toolbox Libraryimaq\imaqdemos - Image Acquisition Toolbox.imaqblks\imaqblks - (No table of contents file)imaqblks\imaqmasks - (No table of contents file)imaqblks\imaqmex - (No table of contents file)incisive\incisive - EDA Simulator Link INincisive\incisivedemos - (No table of contents file)instrument\instrument - Instrument Control Toolboxinstrument\instrumentdemos - (No table of contents file)instrumentblks\instrumentblks - (No table of contents file)instrumentblks\instrumentmex - (No table of contents file)instrumentblks\instrumentmasks - (No table of contents file)javabuilder\javabuilder - MATLAB Builder JAmap\map - Mapping Toolboxmap\mapdemos - Mapping Toolbox Demos and Sample Data Sets.map\mapdisp - (No table of contents file)map\mapformats - (No table of contents file)map\mapproj - (No table of contents file)map\maputils - (No table of contents file)mbc\mbc - Model-Based Calibration Toolboxmbc\mbcdata - Model-Based Calibration Toolbox private utilities.mbc\mbcdemos - (No table of contents file)mbc\mbcdesign - Model-Based Calibration Toolbox private utilities.mbc\mbcexpr - Model-Based Calibration Toolbox private utilities.mbc\mbcguitools - Model-Based Calibration Toolbox private utilities.mbc\mbclayouts - Model-Based Calibration Toolbox private utilities.mbc\mbcmodels - Model-Based Calibration Toolbox private utilities.mbc\mbcsimulink - Model-Based Calibration Toolbox private utilities.mbc\mbctools - Model-Based Calibration Toolbox private utilities.mbc\mbcview - Model-Based Calibration Toolbox private utilities.slvnv\simcoverage - Simulink Model Coverage Tool modelsim\modelsim - EDA Simulator Link MQmodelsim\modelsimdemos - (No table of contents file)mpc\mpc - Model Predictive Control Toolboxmpc\mpcdemos - (No table of contents file)mpc\mpcguis - (No table of contents file)mpc\mpcobsolete - Contents of the previous (obsolete) version of MPC Toolboxmpc\mpcutils - (No table of contents file)common\configuration - (No table of contents file)mpc555dk\mpc555demos - (No table of contents file)mpc555dk\mpc555dk - Target Support Package FM5blockset\mfiles - (No table of contents file)rt\blockset - (No table of contents file)multilink\multilink - Embedded IDE Link MUmultilink\util - (No table of contents file)multilink\multidemos - Embedded IDE Link MU Demosmultilink\mdlinfo - (No table of contents file)multilink\multiblks - (No table of contents file)lfsocket\lfsocket - (No table of contents file)multilink\tfl - (No table of contents file)toolbox\nnet - Neural Network Toolboxnnet\nncontrol - Neural Network Toolbox Control System Functions.nnet\nndemos - Neural Network Demonstrations and Applicationsnnet\nnet - (No table of contents file)nnet\nnanalyze - (No table of contents file)nnet\nncustom - (No table of contents file)nnet\nndistance - (No table of contents file)nnet\nnformat - (No table of contents file)nnet\nninit - (No table of contents file)nnet\nnlearn - (No table of contents file)nnet\nnnetinput - (No table of contents file)nnet\nnnetwork - (No table of contents file)nnet\nnperformance - (No table of contents file)nnet\nnplot - (No table of contents file)nnet\nnprocess - (No table of contents file)nnet\nnsearch - (No table of contents file)nnet\nntopology - (No table of contents file)nnet\nntrain - (No table of contents file)nnet\nntransfer - (No table of contents file)nnet\nnweight - (No table of contents file)nnguis\nftool - (No table of contents file)nnguis\nntool - (No table of contents file)nnet\nnobsolete - Neural Network Toolboxnnet\nnutils - Neural Network Toolboxnnguis\nnguiutils - (No table of contents file)nndemos\nndatasets - (No table of contents file)nnguis\nntraintool - (No table of contents file)opc\opc - OPC Toolboxopc\opcgui - (No table of contents file)opc\opcdemos - OPC Toolbox - OPC Demosopcdemos\opcblksdemos - OPC Toolbox Block Library Demos.opcblks\opcblks - OPC Toolbox Block Library Support Functions.optim\optim - Optimization Toolboxoptim\optimdemos - Demonstrations of large-scale methods.toolbox\pde - Partial Differential Equation Toolboxdata_manager\data_manager - (No table of contents file)drive\drive - SimDriveline drive\drivedemos - (No table of contents file)elec\elec - SimElectronics elec\elecdemos - (No table of contents file)foundation\foundation - (No table of contents file)mech\importer - (No table of contents file)mech\mech - SimMechanics mech\mechdemos - SimMechanics Demos.network_engine\ne_sli - (No table of contents file)network_engine\network_engine - (No table of contents file)pm_sli\pm_sli - (No table of contents file)DR\DRdemo - (No table of contents file)drives\drivesdemo - (No table of contents file)powersys\powerdemo - SimPowerSystems Demospowersys\powersys - SimPowerSystemssh\sh - SimHydraulics sh\shdemos - (No table of contents file)simscape\simscape - Simscapeunit_manager\unit_manager - (No table of contents file)slvnv\reqmgt - Requirements Management Interface.slvnv\rmidemos - (No table of contents file)rf\rf - RF Toolboxrf\rfdemos - RF Toolbox Demos.rf\rftool - RF Tool (GUI)rfblks\rfblks - RF Blocksetrfblks\rfblksmasks - RF Blockset mask helper functions.rfblks\rfblksmex - RF Blockset S-functions.rfblks\rfblksdemos - RF Blockset Demos.robust\robust - Robust Control Toolboxrobust\rctlmi - Robust Control Toolbox - LMI Solvers.robust\rctutil - (No table of contents file)robust\rctdemos - (No table of contents file)rctobsolete\lmi - (No table of contents file)mutools\commands - (No table of contents file)mutools\subs - Utilities for obsolete MUTOOLS commands.rptgen\rptgen - MATLAB Report Generatorrptgen\rptgendemos - (No table of contents file)rptgen\rptgenv1 - (No table of contents file)rptgenext\rptgenext - Simulink Report Generatorrptgenext\rptgenextdemos - (No table of contents file)rptgenext\rptgenextv1 - (No table of contents file)rptgenext\slxmlcomp - (No table of contents file)signal\signal - Signal Processing Toolbox signal\sigtools - (No table of contents file)signal\sptoolgui - (No table of contents file)signal\sigdemos - (No table of contents file)simbio\simbio - SimBiologysimbio\simbiodemos - SimBiology Demosshared\statslib - Statistics Toolbox Librarysl3d\sl3d - Simulink 3D Animationsl3d\sl3ddemos - Simulink 3D Animation examples.slcontrol\slcontrol - Simulink Control Design slcontrol\slctrlguis - (No table of contents file)slcontrol\slctrlutil - (No table of contents file)slcontrol\slctrldemos - (No table of contents file)sldo\sldo - Simulink Design Optimization sldo\sldodemos - Simulink Design Optimization Demos.sldodemos\optim - (No table of contents file)sldodemos\estim - (No table of contents file)sloptim\sloptim - (No table of contents file)sloptim\sloptguis - (No table of contents file)sloptim\sloptobsolete - (No table of contents file)slestim\slestguis - (No table of contents file)slestim\slestim - (No table of contents file)slestim\slestmex - Simulink Design Optimization Estimation S-Function MEX-files.slestim\slestutil - (No table of contents file)sldv\sldv - Simulink Design Verifier sldv\sldvdemos - (No table of contents file)shared\sldv - (No table of contents file)slvnv\slvnv - Simulink Verification and Validationslvnv\simcovdemos - (No table of contents file)toolbox\splines - Spline Toolboxtoolbox\stats - Statistics Toolboxtoolbox\symbolic - Symbolic Math Toolboxsystemtest\systemtest - SystemTestsystemtest\systemtestdemos - SystemTest demonstrations and examples.systemtest\viewer - (No table of contents file)tasking\tasking - Embedded IDE Link TStasking\taskingdemos - (No table of contents file)tic2000\tic2000 - Target Support Package TC2tic2000\tic2000blks - (No table of contents file)tic2000\tic2000demos - (No table of contents file)etargets\mdlinfo - (No table of contents file)etargets\lic - (No table of contents file)etargets\peripheralTab - (No table of contents file)etargets\rtdxblks - RTDX (tm) Blocks etargets\demoutils - (No table of contents file)tic6000\tic6000 - Target Support Package TC6tic6000\tfl - (No table of contents file)tic6000\tic6000blks - TI C6000 (tm) Blockstic6000\tic6000demos - Embedded Target for TI C6000 DSP(tm) Demosvdsplink\vdsplink - Embedded IDE Link VSvdsplink\util - (No table of contents file)vdsplink\vdspdemos - Embedded IDE Link VS Demosvdsplink\mdlinfo - (No table of contents file)vdsplink\tfl - (No table of contents file)vdsplink\vdspblks - (No table of contents file)vipblks\vipblks - Video and Image Processing Blocksetvipblks\vipmasks - (No table of contents file)vipblks\vipmex - (No table of contents file)vipblks\vipdemos - Video and Image Processing Blockset demonstrations and examples.vnt\vnt - Vehicle Network Toolboxvnt\vntguis - (No table of contents file)vnt\vntdemos - (No table of contents file)vntblks\vntblks - (No table of contents file)vntblks\vntmasks - (No table of contents file)wavelet\wavelet - Wavelet Toolboxwavelet\wmultisig1d - (No table of contents file)wavelet\wavedemo - (No table of contents file)wavelet\compression - (No table of contents file)xpc\xpc - xPC Targetxpcblocks\thirdpartydrivers - (No table of contents file)build\xpcblocks - (No table of contents file)xpc\xpcdemos - xPC Target -- demos and sample script files.kernel\embedded - xPC Target Embedded Option
Ejercicios
1. Utilizando la funcin ayuda (help), obtener informacin de algunas de estas funciones elementales de matemticas: seno, coseno, tangente, arcoseno, arcotangente, secante, cosecante, cotangente, arco secante, arco cotangente, seno hiperblico, coseno hiperblico, acosh, atanh, exponencial, log, log10, log2, sign.
>>helpfun
SIN Sine of argument in radians. SIN(X) is the sine of the elements of X. See also asin, sind. Overloaded methods: codistributed/sin
Reference page in Help browser doc sin
COS Cosine of argument in radians.COS(X) is the cosine of the elements of X. See also acos, cosd. Overloaded methods: codistributed/cos
Reference page in Help browser doc cos
TAN Tangent of argument in radians.TAN(X) is the tangent of the elements of X. See also atan, tand, atan2. Overloaded methods: codistributed/tan
Reference page in Help browser doc tan
ASIN Inverse sine, result in radians.ASIN(X) is the arcsine of the elements of X. Complexresults are obtained if ABS(x) > 1.0 for some element. See also sin, asind. Overloaded methods: codistributed/asin Reference page in Help browser doc asin
ATAN Inverse tangent, result in radians.ATAN(X) is the arctangent of the elements of X. See also atan2, tan, atand. Overloaded methods: codistributed/atan Reference page in Help browser doc atan
SEC Secant of argument in radians.SEC(X) is the secant of the elements of X. Class support for input X: float: double, single See also asec, secd.
Overloaded methods: codistributed/sec
Reference page in Help browser doc sec
CSC Cosecant of argument in radians.CSC(X) is the cosecant of the elements of X. Class support for input X: float: double, single See also acsc, cscd.
Overloaded methods: codistributed/csc
Reference page in Help browser doc csc
COT Cotangent of argument in radians.COT(X) is the cotangent of the elements of X. Class support for input X: float: double, single See also acot, cotd. Overloaded methods: codistributed/cot
Reference page in Help browser doc cot
ASEC Inverse secant, result in radians.ASEC(X) is the inverse secant of the elements of X. Class support for input X: float: double, single See also sec, asecd.
Overloaded methods: codistributed/asec
Reference page in Help browser doc asec
ACSC Inverse cosecant, result in radian.ACSC(X) is the inverse cosecant of the elements of X. Class support for input X: float: double, single See also csc, acscd. Overloaded methods: codistributed/acsc Reference page in Help browser doc acsc ACOT Inverse cotangent, result in radian.ACOT(X) is the inverse cotangent of the elements of X. Class support for input X: float: double, single See also cot, acotd. Overloaded methods: codistributed/acot
Reference page in Help browser doc acot
SINH Hyperbolic sine.SINH(X) is the hyperbolic sine of the elements of X. See also asinh.
Overloaded methods: codistributed/sinh
Reference page in Help browser doc sinh
COSH Hyperbolic cosine.COSH(X) is the hyperbolic cosine of the elements of X. See also acosh. Overloaded methods: codistributed/cosh
Reference page in Help browser doc cosh ACOSH Inverse hyperbolic cosine.ACOSH(X) is the inverse hyperbolic cosine of the elements of X. See also cosh. Overloaded methods: codistributed/acosh
Reference page in Help browser doc acosh
ATANH Inverse hyperbolic tangent.ATANH(X) is the inverse hyperbolic tangent of the elements of X. See also tanh.
Overloaded methods: codistributed/atanh
Reference page in Help browser doc atanh
EXP Exponential.EXP(X) is the exponential of the elements of X, e to the X.For complex Z=X+i*Y, EXP(Z) = EXP(X)*(COS(Y)+i*SIN(Y)). See also expm1, log, log10, expm, expint.
Overloaded methods:lti/expcodistributed/expfints/exp
Reference page in Help browser doc exp
LOG Natural logarithm.LOG(X) is the natural logarithm of the elements of X.Complex results are produced if X is not positive.See also log1p, log2, log10, exp, logm, reallog. Overloaded methods: gf/log codistributed/log fints/log
Reference page in Help browser doc log LOG10 Common (base 10) logarithm.LOG10(X) is the base 10 logarithm of the elements of X. Complex results are produced if X is not positive. Class support for input X: float: double, single See also log, log2, exp, logm. Overloaded methods: codistributed/log10 fints/log10
Reference page in Help browser doc log10
LOG2 Base 2 logarithm and dissect floating point number.Y = LOG2(X) is the base 2 logarithm of the elements of X.[F,E] = LOG2(X) for each element of the real array X, returns anarray F of real numbers, usually in the range 0.5 > tan(37)
ans =-0.8408
>> sin(37)
ans = -0.6435
>> tan(53)
ans =-0.4312
>> sec(60)
ans = -1.0500
>> cot(30)
ans = -0.1561
>> asec(2)
ans = 1.0472
>> asin((sqrt(2))/2)
ans = 0.7854
>> acsc((2*sqrt(3))/3)
ans = 1.0472
>> acos(4/5)
ans = 0.6435
>> log(exp^2)
>> log10(100)
ans=2
PRACTICA NRO 2 : ARREGLOS, VARIABLES VECTORIALES Y MATRICIALES
2.1 PROBLEMAS.
a. quin es mayor, ?
>> exp(pi)
ans =
23.1407
>> pi^(exp(1))
ans =
22.4592
Por tanto >
b. Calcular los valores de las siguientes expresiones
>> f1=(1.5)^2+3*0.5+1
f1 = 4.7500
>> f2=sin(pi/6)
f2 = 0.5000
>> f3=atan(1)
f3 = 0.7854
>> f4=sin(acos((sqrt(3))/2))
f4 = 0.5000
c. Explore el uso de las funciones round, ceil, floor para los valores x=0.3; x=1/3; x=0.5; x=-1.34.
>> A=[0.3 1/3 0.5 -1.34];>> round(A)
ans = 0 0 1 -1
>> ceil(A)
ans = 1 1 1 -1
>> floor(A)
ans = 0 0 0 -2
2.2 Arreglos :
a) >> A=[-1 3;4 3;1 0]A = -1 3 4 3 1 0
>> B=[3,-9;6,12;0,15]B = 3 -9 6 12 0 15
>> c=[4,-1,5;2,1,1]c = 4 -1 5 2 1 1
>> D=(2*A-B/3)*cD = 6 12 -6 28 -4 32 -2 -7 5
b) >> E=[1 -i;1 -i]E =
1.0000 0 - 1.0000i 1.0000 0 - 1.0000i
>> F=[1 i;1 i]F =
1.0000 0 + 1.0000i 1.0000 0 + 1.0000i
>> G=(1+i)*E+(1-i)*FG =
2 2 2 2
c) >> H=[1 0;1 -1;1 1]H =
1 0 1 -1 1 1
>> I=[0 1 0 1 0;1 0 -1 2 0]I =
0 1 0 1 0 1 0 -1 2 0
>> J=[2 1 0;1 -1 -3;1 4 -1;3 0 2;3 1 0]J =
2 1 0 1 -1 -3 1 4 -1 3 0 2 3 1 0
>> K=[1 0 1 -1;2 1 -2 2;1 0 1 0]K =
1 0 1 -1 2 1 -2 2 1 0 1 0
>> L=(H*I)*(J*K)L =
1 -1 5 -6 -5 2 -13 7 7 -4 23 -19 2.3 Operaciones con arreglos: >> M=[2 3 4;6 (3)^(1/4) 2]M =
2.0000 3.0000 4.0000 6.0000 1.3161 2.0000
>> N=[-20 2 4;5 6 pi]N =
-20.0000 2.0000 4.0000 5.0000 6.0000 3.1416
>> P=[18 20 100;sqrt(2) 4 sqrt(8);-6 10 20]P =
18.0000 20.0000 100.0000 1.4142 4.0000 2.8284 -6.0000 10.0000 20.0000
>> Q=[2 -1 10;5 2 4]Q =
2 -1 10 5 2 41. Calcular los siguientes arreglos y dibujarlos con ayuda del comando plot
>> A=M.*N
A =
-40.0000 6.0000 16.0000 30.0000 7.8964 6.2832
>> B=(M.^2).*(N.^2)
B =
1.0e+003 *
1.6000 0.0360 0.2560 0.9000 0.0624 0.0395
>> C=P.^3
C =
1.0e+006 *
0.0058 0.0080 1.0000 0.0000 0.0001 0.0000 -0.0002 0.0010 0.0080
>> D=M./N
D =
-0.1000 1.5000 1.0000 1.2000 0.2193 0.6366
>> E=2^P
E =
1.0e+005 *
-4.4923 - 0.0000i 1.5788 -6.9831 -0.2785 + 0.0000i 0.3129 0.2484 0.4970 + 0.0000i -1.8804 - 0.0000i -4.6370 - 0.0000i
>> F=((M.*N)./Q)+Q./Q
F =
-19.0000 -5.0000 2.6000 7.0000 4.9482 2.5708
>> G=(M).^(N.^Q)
G =
1.0e+120 *
2.5822 0.0000 Inf Inf 0.0000 0.0000
>> H=P./P+P
H =
19.0000 21.0000 101.0000 2.4142 5.0000 3.8284 -5.0000 11.0000 21.0000
2.4 variables vectoriales: transpuesta ()
>> s=1:2:6s = 1 3 5
>> t=linspace(4,6,3)t = 4 5 6
>> A=s.*tA = 4 15 30
>> B=s'*tB = 4 5 6 12 15 18 20 25 30
>> C=s*t'C = 49
>> D=s./tD = 0.2500 0.6000 0.8333
2.5 variables matriciales
1. Comente la extraccin de datos de la matriz
>> R=[1 2 3 4 5 6 7 8;9 10 11 12 13 14 15 16;17 18 19 20 21 22 23 24;25 26 27 28 29 30 31 32;33 34 35 36 37 38 39 40;41 42 43 44 45 46 47 48;49 50 51 52 53 54 55 56]
R = 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56
>> A=R(:,:)A = 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56
Indica todos los nmeros >> B=R(:,4)B = 4 12 20 28 36 44 52
Indica todos los nmeros de la columna 4.
>> C=R(7,:)C = 49 50 51 52 53 54 55 56
Indica todos los nmeros de la fila 7.
>> D=R(2:5,:)D = 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
Indica los todos los nmeros que comprenden entre la fila 2 y 5.
>> E=R(:,4:7)E = 4 5 6 7 12 13 14 15 20 21 22 23 28 29 30 31 36 37 38 39 44 45 46 47 52 53 54 55
Indica todos los nmeros que comprenden entre la columna 4 y 7.
>> F=R(1:2:7,3:2:8)F = 3 5 7 19 21 23 35 37 39 51 53 55
Indica los nmeros que comprenden entre la fila 1 y 7 con un paso 2 y los nmeros que comprenden la columna 3 y 8 con un paso 2. >> G=R(1:6,4:8)G = 4 5 6 7 8 12 13 14 15 16 20 21 22 23 24 28 29 30 31 32 36 37 38 39 40 44 45 46 47 48
Indica todos los nmeros que estn entre la fila 1 y 6 y la columna 4 y 8.
>> H=R([1 6],[2 8])H = 2 8 42 48
Indica la interseccin de los nmeros en la fila 1 y 6 con la columna 2 y 8.
2. Construir una matriz z de orden 3x4, la matriz nula e identidad y una del mismo orden acoplado horizontalmente.
>> A=[1 2 3 4;5 6 7 8;9 10 11 12]A = 1 2 3 4 5 6 7 8 9 10 11 12
>> zeros(3,4)ans = 0 0 0 0 0 0 0 0 0 0 0 0
>> eye(4,4)ans = 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
3. Calcular el tamao de Z
>> size(A)ans = 3 4
PRACTICA NRO 03
3.1 VARIABLE SIMBOLICA, SIMPLIFICACION DE FUNCIONES Y DETERMINANTE EN MATLAB
1. Realizar las siguientes simplificaciones
>> syms a>> F=(1-a^9)/1-a^3;>> simplify(F) ans =- a^9 - a^3 + 1
>> syms a>> F=(1/1+a)+(1/(1+a)^2)+(1/(1+a)^3);>> simplify(F)ans =a + (a + 2)/(a + 1)^3 + 1
2. Calcular la determinante de la matriz
>> A=[cos(a*x) sin(a*x);-sin(a*x) cos(a*x)]A =[ cos(a*x), sin(a*x)][ -sin(a*x), cos(a*x)] >> det(A)ans =cos(a*x)^2 + sin(a*x)^2
3.2 EVALUACION DE OPERACIONES Y EXPRESIONES SIMBOLICAS
1. Evaluar la funcin f(x)=X3 y calcular f(2) y f(b+2)
>> syms x b>> F=x^3;>> subs(F,2)ans = 8
>> subs(F,b+2)ans =(b + 2)^3
2. Considere la funcin f(a,b)=a+b sustituya primeramente a por 4 y b por 5
>> syms a b>> F=a+b;>> subs(F,a,4)ans =b + 4 >> subs(F,b,5)ans =a + 5
3. Dadas las funciones f(X)=sen(cos()) y g(X)= ( ). Calcular la compuesta de f y g. tambin calcular la funcin inversa de f y g.
>> syms x>> F=sin(cos(sqrt(x)));>> G=sqrt(tan(x^2));>> compose(F,G)ans =sin(cos(tan(x^2)^(1/4))) >> finverse(F)Warning: finverse(sin(cos(x^(1/2)))) is not unique. ans =acos(asin(x))^2 >> finverse(G)Warning: finverse(tan(x^2)^(1/2)) is not unique. ans =atan(x^2)^(1/2)
4. Sea F y G tal que F=x2+2x+3 y G=x-5. Hallar
-2
>> syms x>> F=x^2+2*x+3;>> G=x-5;>> T=((subs(compose(G,F),1)+subs(compose(F,G),2)*subs(compose(F,G),3)-subs(compose(G,G),2))/subs(compose(F,G),2))^(-2)
T =
0.0494
5. Dadas las funciones F=x2+x, G=x3+1 y H=sen(x) +cos(x)Calcular:
>> syms x>> F=x^2+x;>> G=x^3+1;>> H=sin(x)+cos(x);>> A=F+GA =x^3 + x^2 + x + 1 >> B=F-GB =- x^3 + x^2 + x - 1 >> C=F/GC =(x^2 + x)/(x^3 + 1) >> D=F-G+HD =x + cos(x) + sin(x) + x^2 - x^3 - 1 >> compose(F,G)ans =(x^3 + 1)^2 + x^3 + 1 >> compose(F,subs(H,pi/3))ans =16388444584731286707948041234745/5070602400912917605986812821504 >> compose(F,compose(G,subs(H,sin(x))))ans =((cos(sin(x)) + sin(sin(x)))^3 + 1)^2 + (cos(sin(x)) + sin(sin(x)))^3 + 1
3.3 FUNCIONES DE ANALISIS MATEMATICO EN MATLAB1. Limites
>> syms n>> s=((n^4+3*n^2+2*n+1)/2*n^4+5*n+4)^(sqrt(n^3-3*n^2-n));>> limit(s,n,inf)ans =Inf
>> syms n>> s=((2*n+3)*(3*n-5)*(n+1)^2)/n^2*(2*n-3)*(4*n+1);>> limit(s,n,inf)ans =Inf
>> syms n>> s=(sqrt(n+sqrt(n+sqrt(n+3))))/sqrt(n+3);>> limit(s,inf)ans =1
2. Calcular los lmites de las siguientes funciones
>> syms x>> s=(x^2+(x-3)^(1/3)-9)/(9-x*sqrt(9*x-3))^(1/3);>> limit(s,x,3)ans =0
>> syms x>> s=(x*(x+1)^(1/3)+(x+1)^(1/4)-1)/(x^2*(x+1)^(1/3)+(x+1)^(1/4)-1);>> limit(s,x,0)ans =5
>> syms x>> s=(abs(x^3-1))/(abs(x-1)+(abs(x-1))^2);>> limit(s,x,1)ans =3
3.4 CONTINUIDAD
1. Dada la funcin definida como: f=1/(1+) si Ilustre este resultado utilizando el comando plot y analize la continuidad en x=0
>> syms x>> f=1/1+exp(1/sqrt(x));>> limit(f,x,'right') ans = exp(1/right^(1/2)) + 1 >> limit(f,x,'left') ans = exp(1/left^(1/2)) + 1
PRACTICA NRO 044.1 ANALISIS MATEMATICO1. Lmites:
>> syms x>> F=(x^14+x^2-2)/(x^12+4*x^8+x^2-6);>> limit(F,x,-1)ans =8/23
>> syms x>> F=(x^2+(x-3)^(1/3)-9)/(9-x*sqrt(9*x-3))^(1/3);>> limit(F,x,3)ans =0
2. Derivadas:Calcular las 5 primeras derivadas de:
F=x3-2x2+6>> syms x>> F=x^3-2*x^2+6;>> W=[diff(F,1),diff(F,2),diff(F,3),diff(F,4),diff(F,5)]W =[ 3*x^2 - 4*x, 6*x - 4, 6, 0, 0]
F=1/x>> syms x>> F=1/x;>> W=[diff(F,1),diff(F,2),diff(F,3),diff(F,4),diff(F,5)]W =[ -1/x^2, 2/x^3, -6/x^4, 24/x^5, -120/x^6]
F=1/x2-2>> syms x>> F=1/(x^2-2);>> W=[diff(F,1),diff(F,2),diff(F,3),diff(F,4),diff(F,5)]
W =[ -(2*x)/(x^2 - 2)^2, (8*x^2)/(x^2 - 2)^3 - 2/(x^2 - 2)^2, (24*x)/(x^2 - 2)^3 - (48*x^3)/(x^2 - 2)^4, 24/(x^2 - 2)^3 - (288*x^2)/(x^2 - 2)^4 + (384*x^4)/(x^2 - 2)^5, (3840*x^3)/(x^2 - 2)^5 - (720*x)/(x^2 - 2)^4 - (3840*x^5)/(x^2 - 2)^6]
F=sen(x+2)>> syms x>> F=sin(x+2);>> W=[diff(F,1),diff(F,2),diff(F,3),diff(F,4),diff(F,5)]W =[ cos(x + 2), -sin(x + 2), -cos(x + 2), sin(x + 2), cos(x + 2)]
Para la siguiente funcin f(x,y)=sen(xy)+cos(xy2) calcular:
>> syms x y>> F=sin(x*y)+cos(x*y^2);
>> diff(F,x) ans = y*cos(x*y) - y^2*sin(x*y^2)
>> diff(F,y)ans =x*cos(x*y) - 2*x*y*sin(x*y^2)
>> diff(diff(F,x),x)ans =- y^4*cos(x*y^2) - y^2*sin(x*y)
>> diff(diff(F,y),y) ans = - 2*x*sin(x*y^2) - x^2*sin(x*y) - 4*x^2*y^2*cos(x*y^2)
>> diff(diff(F,x),y)ans =cos(x*y) - 2*y*sin(x*y^2) - x*y*sin(x*y) - 2*x*y^3*cos(x*y^2)
>> diff(diff(F,y),x)ans =cos(x*y) - 2*y*sin(x*y^2) - x*y*sin(x*y) - 2*x*y^3*cos(x*y^2)
3. Integrales:Calcular las siguientes integrales:
>> syms x>> F=x^4+sqrt(x);>> int(F,0,5)ans =(10*5^(1/2))/3 + 625
>> syms x y >> F=x^4+cos(x)+sin(y);>> int(int(F,x,0,pi/4),y,-pi,pi)ans =pi*2^(1/2) + pi^6/2560
>> syms z r w>> F=r;>> int(int(int(F,z,0,r),r,0,2*sin(w)),w,0,pi/2)ans =16/9
4.2 FACTORIZACION, ECUACIONES Y SISTEMA DE ECUACIONES1. Factorizar las siguientes expresiones algebraicas:
>> syms x y>> F=((x+y)^9)*((x-y)^5)-((x^2)-(y^2))^7;>> factor(F)ans =4*x*y*(x - y)^5*(x + y)^7
>> syms x>> F=((x+1)^4)+((x+2)^3)+((x+3)^2)-7*(x+2)+2;>> factor(F)ans =(x^2 + 3*x + 6)*(x + 1)^2
>> syms x y >> F=(x^y)*(y^x)+x*y+(x^(y+1))+(y^(x+1));>> factor(F)ans =(x + y^x)*(y + x^y)
>> syms a b c>> F=((a+b+c)^3)-(a^3)-(b^3)-(c^3);>> factor(F)ans =3*(b + c)*(a + c)*(a + b)
2. Resolver las siguientes ecuaciones:
>> syms x>> [x]=solve('x^2-64*x=-768','x')x = 16 48
>> syms x>> [x]=solve('(((3-x)^3)+((4+x)^3))/(((3-x)^2)+(4+x)^2=7)','x')x = - 1/2 + (7*3^(1/2)*i)/6 - 1/2 - (7*3^(1/2)*i)/6 - 1/2 + (35^(1/2)*i)/2 - 1/2 - (35^(1/2)*i)/2
>> syms x>> [x]=solve('((72-x)^(1/3))-((16-x)^(1/3)=2)','x')x =8
3. Resolver el sistema de ecuaciones:>> syms x y>> [x,y]=solve('2*x+5*y=26,3*x-4*y=-7','x,y')x =3y =4 >> syms x y>> >> syms x y z>> [x,y,z]=solve('x*y+x+y=23,x*z+x+z=41,y*z+y+z=27','x,y,z')x = 5 -7y = 3 -5z = 6 -8 >> syms x y z t>> [x,y,z,t]=solve('x+y+z=15,x+y+t=16,x+z+t=18,y+z+t=20','x,y,z,t')x =8y =3z =5t =74.3 GRAFICO EN CD:
1. Dibujar las siguientes funciones
>> x=-1:0.01:5;>> y=sin(x.^3);>> plot(x,y,'r')
>> x=0:0.002:10;>> y=sin(x);>> stairs(x,y,'g')
>> x=0:0.001:pi;>> y=1+cos(x);>> polar(x,y,'y')
2. Coloque la siguiente funcin en el dominio que se indica, colocando un ttulo, nombre, a los ejes, colores y leyenda.
PRACTICA NRO 05
5.1 GRAFICOS EN 2D
1. >> x=sin(-t)+t;>> y=1-cos(-t);>> plot(x,y)
2. ezplot('x^2+y^2=1',[-1.5,1.5])
3. ezplot('x^2-y^2=1',[-1.5,1.5])
4. >> ezplot('sin(x)','cos(x)',[-1.5,1.5])
5. >> ezplot('sin(t)','3*cos(t)',[-1.5,1.5])
4. Representar sobre su mismo eje las curvas
>> x=0:0.001:2*pi; >> y=sin(x);>> z=sin(2*x);>> v=sin(3*x);>> plot(x,y,x,z,x,v)>> legend('sin(x)','sin(2x)','sin(3x)')
5. Situar la etiquetas del grafico anterior
>> text(x,y,'sin(x)')
6. Representar en el mismo grafico las funciones sin(x), cos(x); colocados horizontalmente uno al lado del otro con sus nombres y con el eje x tomando valores 0 y 2pi y el eje y tomando valores -1 y 1
>> axis([0 2*pi -1 1]) >> x=0:0.001:2*pi;>> y=sin(x);>> z=cos(x);>> plot(x,y,x,z)>> legend('sin(x)','cos(x)')>> axis([0 2*pi -1 1])
7. Representar la figura anterior pero con rejillas
8. Representar en el mismo grafico las graficas de las funciones sin(X) cos(x) csc(x) y sec(X) colocados en una matriz de 4 graficas.
>> t=-2*pi:0.005:2*pi;>> x=sin(t);>> y=cos(t);>> z=csc(t);>> v=sec(t);>> subplot(3,2,1),plot(t,x),title('dibujo 1');>> subplot(3,2,1),plot(t,y),title('dibujo 2'); >> subplot(3,2,1),plot(t,z),title('dibujo 3');>> subplot(3,2,1),plot(t,v),title('dibujo 4');>> t=-2*pi:0.005:2*pi;>> x=sin(t);>> y=cos(t);>> z=csc(t);>> v=sec(t);>> subplot(3,2,1),plot(t,x),title('dibujo 1');>> subplot(3,2,2),plot(t,y),title('dibujo 2');>> subplot(3,2,3),plot(t,x),title('dibujo 3');>> subplot(3,2,6),plot(t,y),title('dibujo 4');
GRAFICOS EN 3D
1. Plot3(x,y,z)>> t=-6:0.2:8; >> x=t; y=3-t; z=t.^2;>> plot3(x,y,z)>> grid
2. Surf(x,y,z)
>> [x,y]=meshgrid(-2:0.2:2); >> z=x.*exp(-x^2-y^2);>> surf(x,y,z)>> title('funcion z');>> xlabel('x');>> ylabel('y');>> zlabel('z')
3. Meshz(x,y,z)4. Sphere
>> sphere; >> xlabel('x');>> ylabel('y');>> zlabel('z');>> title('la esfera')
5.2 FUNCIONES PARA GENERAR PELICULAS Y MATLAB CON HERRAMIENTA DE DIBUJO
1.
2.
3. >> dt=pi/20; t=0:dt:2*pi;>> x=cos(t); y=sin(t);>> axis([-1 1 -1 1]), hold on>> plot(x,y)>> hold on >> for k=0.8:-0.05:0.05plot(k*0.1*x-0.3,k*0.15*y+0.1)plot(k*0.1*x+0.3,k*0.15*y+0.1)end>> s1=(3*(pi/2))-1.1; s2=(3*(pi/2))+1.1;>> s=s1:dt:s2;>> xs=0.5*cos(s); ys=0.5*sin(s);>> plot(xs,ys)>> hold off
5.3 ARCHIVO FUNCTION