Figure Properties - SERC

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invhilb 2invhilb Purpose Inverse of the Hilbert matrix Syntax H = invhilb(n) Description H = invhilb(n) generates the exact inverse of the exact Hilbert matrix for n less than about 15. For larger n, invhilb(n) generates an approximation to the inverse Hilbert matrix. Limitations The exact inverse of the exact Hilbert matrix is a matrix whose elements are large integers. These integers may be represented as floating-point numbers without roundoff error as long as the order of the matrix, n, is less than 15. Examples invhilb(4) is See Also hilb 2-1216 Comparing invhilb(n) with inv(hilb(n)) involves the effects of two or three sets of roundoff errors: The errors caused by representing hilb(n) The errors in the matrix inversion process The errors, if any, in representing invhilb(n) It turns out that the first of these, which involves representing fractions like 1/3 and 1/5 in floating-point, is the most significant. 16 -120 240 -140 -120 1200 -2700 1680 240 -2700 6480 -4200 -140 1680 -4200 2800 References [1] [1] Forsythe, G. E. and C. B. Moler, Computer Solution of Linear Algebraic Systems, Prentice-Hall, 1967, Chapter 19.
2ipermute Purpose Inverse permute the dimensions of a multidimensional array Syntax A = ipermute(B,order) ipermute Description A = ipermute(B,order) is the inverse of permute. ipermute rearranges the dimensions of B so that permute(A,order) will produce B. B has the same values as A but the order of the subscripts needed to access any particular element are rearranged as specified by order. All the elements of order must be unique. Remarks permute and ipermute are a generalization of transpose (.') for multidimensional arrays. Examples Consider the 2-by-2-by-3 array a: See Also permute a = cat(3,eye(2),2*eye(2),3*eye(2)) a(:,:,1) = a(:,:,2) = 1 0 2 0 0 1 0 2 a(:,:,3) = 3 0 0 3 Permuting and inverse permuting a in the same fashion restores the array to its original form: B = permute(a,[3 2 1]); C = ipermute(B,[3 2 1]); isequal(a,C) ans= 1 2-1217
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Function Reference Volume 2: F - O
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1 Functions — Categorical List De
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Functions — Categorical List 1 Th
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Desktop Tools and Development Envir
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Desktop Tools and Development Envir
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Mathematics Mathematics Functions f
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Operations and Manipulation : (colo
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Matrix Analysis cond Condition numb
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Trigonometric acos Inverse cosine a
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Discrete Math (e.g., Prime Factors)
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Interpolation and Computational Geo
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Ordinary Differential Equations (IV
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Elementary Sparse Matrices spdiags
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Programming and Data Types Programm
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strjust Justify character array str
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Data Type Conversion Numeric double
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Basic Array Information disp Displa
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Arithmetic Operations + Plus - Minu
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Programming in MATLAB “M-File Fun
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Control Flow break Terminate execut
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MEX Programming dbmex Enable MEX-fi
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Opening, Loading, Saving Files impo
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Audio and Audio/Video General audio
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Graphics 2-D graphs, specialized pl
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Area, Bar, and Pie Plots area Area
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Bit-Mapped Images frame2im Convert
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Figure Windows clc Clear figure win
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Color Operations brighten Brighten
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Lighting camlight Cerate or positio
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Deploying User Interfaces guidata S
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Functions — Alphabetical List 2
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2factorial Purpose Factorial functi
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2fclose Purpose Close one or more o
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See Also compass, LineSpec, rose 2
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2ferror Purpose Query MATLAB about
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. . fx = feval(funfcn,x,varargin{:}
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Examples A common use of Fourier tr
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Data Type Support When N is a prime
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2fft2 Purpose Two-dimensional discr
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2fftshift Purpose Shift zero-freque
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2fftw Purpose Interface to the FFTW
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fftw('wisdom', str) loads the strin
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2fgetl Purpose Read line from file,
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2fieldnames Purpose Return field na
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2figflag Purpose This function is O
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2figure Purpose Create a figure gra
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Property Name Property Description
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Modifying Properties Figure Propert
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Children vector of handles Figure P
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Color ColorSpec Figure Properties B
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Figure Properties unless the mouse
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Figure Properties and labels, the c
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InvertHardcopy {on} | off Figure Pr
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Figure Properties This property aff
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PaperType Select a value from the f
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PointerShapeCData 16-by-16 matrix F
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Figure Properties On UNIX systems,
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Or Figure Properties The host compu
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SelectionType {normal} | extend | a
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Units {pixels} | normalized | inche
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Figure Properties and stays above a
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Figure Properties zdepth 24 - indic
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!glxinfo Figure Properties After pr
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2fileattrib Purpose Set or get attr
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Examples Get Attributes of File To
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fileattrib The operation was succes
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filebrowser 2filebrowser Purpose Di
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File Format Extension File Content
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2fileparts Purpose Return filename
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2fill Purpose Filled two-dimensiona
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See Also axis, caxis, colormap, Col
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If you specify color using C, fill3
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2filter Purpose Filter data with an
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The operation of filter at sample m
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2find Purpose Find indices and valu
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x = [11 0 33 0 55]'; find(x) ans =
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2findall Purpose Find handles of al
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2findobj Purpose Locate graphics ob
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'-and','-not',{'Color','red','-or',
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2finish Purpose MATLAB termination
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fitsinfo The tables that follow sho
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Fields of the BinaryTable Structure
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Fields of the Unknown Structure Arr
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key = S.AsciiTable.Keywords ans = '
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Example Read FITS file tst0012.fits
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2flipdim Purpose Flip array along a
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2flipud Purpose Flip matrices up-do
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2floor Purpose Round towards minus
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2flow Purpose A simple function of
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1 fminbnd converged to a solution x
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fminbnd Limitations The function to
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TolFun Termination tolerance on the
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function f = myfun(x,a) f = x(1)^2
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current directory. If it is not fou
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2for Purpose Repeat statements a sp
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2format Purpose Control display for
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get(0,'Format') ans = long Set the
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2fplot Purpose Plot a function betw
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1 0.8 0.6 0.4 0.2 0 −0.2 −0.4
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100 80 60 40 20 0 0 0.1 0.2 0.3 0.4
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fprintf Flags You can control the a
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Character Description \'' or '' (tw
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It's Friday. The commands B = [8.8
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2frameedit Purpose Create and edit
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frameedit Printing Simulink Block D
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machineformat argument from the out
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Specifying Output Precision By defa
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Remarks If the input stream is byte
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In the example, the fread command a
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2freqspace Purpose Determine freque
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2fscanf Purpose Read formatted data
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fscanf Mixing character and numeric
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'eof' 1: End of file status A retur
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2ftp Purpose Connect to FTP server,
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2full Purpose Convert sparse matrix
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2func2str Purpose Construct a funct
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2function Purpose Function M-files
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2function_handle (@) Purpose MATLAB
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To execute the sqr function defined
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f = functions(@floor) f = function:
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2funm Purpose Evaluate general matr
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[F, exitflag, output] = funm(...) r
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2fwrite Purpose Write binary data t
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[x,fval,exitflag] = fzero(...) retu
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Purpose Test matrices Syntax [A,B,C
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C = gallery('chebvand',m,p) where m
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Argument k defaults to round(n/4),
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(n,n+1-abs(j)) position, and zeros
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kahan—Upper trapezoidal matrix A
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gallery with the same diagonal entr
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pei—Pei matrix gallery A = galler
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andhess—Random, orthogonal upper
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iemann—Matrix associated with the
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toeppen—Pentadiagonal Toeplitz ma
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n = 5 hilb(6)(1:5,2:6)*1.8144. A sy
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gamma, gammainc, gammaln Y = gammal
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2gcbf Purpose Get handle of figure
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2gcd Purpose Greatest common diviso
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2gcf Purpose Get current figure han
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2genpath Purpose Generate a path st
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See Also addpath, path, pathdef, pa
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genvarname If the str input contain
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k time_elapsed time_elapsed2 time_e
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object property names and whose fie
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2get (timer) Purpose Display or get
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2getappdata Purpose Get value of ap
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2getfield Purpose Get field of stru
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2getframe Purpose Get movie frame S
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getplottool 2getplottool Purpose Ut
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2global Purpose Define a global var
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2gmres Purpose Generalized Minimum
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Examples Example 1. A = gallery('wi
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gmres References [1] Barrett, R., M
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See Also LineSpec, sparse, spy 1 0.
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Examples The statements gradient di
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2graymon Purpose Set default figure
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2griddata Purpose Data gridding Syn
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0.5 0 −0.5 2 1 0 See Also delauna
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griddata3 [2] National Science and
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griddatan Reference [1] Barber, C.
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Examples Example 1. The matrices ha
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A = B = The statement 1 4 7 10 13 2
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2gtext Purpose Mouse placement of t
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% save the structure guidata(figure
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Purpose Hadamard matrix Syntax H =
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2hdf Purpose HDF interface Syntax h
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2hdf5 Purpose HDF5 data type classe
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The following are the methods of th
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Methods Description Syntax setData
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h5vlen The HDF5 h5vlen class associ
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Data: {[] [] []} MemberNames: {'tem
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2hdf5info Purpose Return informatio
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2hdf5read Purpose Read data from an
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2hdf5write Purpose Write a Hierarch
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hdf5write If the data in the worksp
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2hdfinfo Purpose Return information
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hdfinfo Fields Common to Returned S
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Fields of the Vdata Structure Field
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See Also hdfread, hdf fileinfo = hd
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hdfread If a parameter requires mul
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Parameter Description Required Para
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hdfread Subsetting Parameters for H
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Parameter Description Optional Para
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ans = 16 ans = 5 hdfread Using hdfr
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2hdftool Purpose Browse and import
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help classname.methodname displays
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help datafeed displays help for the
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Tabs in Help Navigator pane provide
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2helpdlg Purpose Create a help dial
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2helpwin Purpose Provide access to
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See Also eig, qz, schur Matrix A Ro
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2hex2num Purpose Convert IEEE hexad
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2hggroup Purpose Create hggroup obj
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Modifying Properties Hggroup Proper
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Hggroup Properties MATLAB executes
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Hggroup Properties potentially dama
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Hggroup Properties When you want to
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2hgsave Purpose Saves a Handle Grap
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More Information The references in
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h(1) = surface(x,y,z,'FaceColor','r
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Hgtransform Properties ButtonDownFc
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Hgtransform Properties none — Do
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Interruptible {on} | off Hgtransfor
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Hgtransform Properties the child ob
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2hilb Purpose Hilbert matrix Syntax
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The histogram’s x-axis reflects t
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2histc Purpose Histogram count Synt
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hold off sets the NextPlot property
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2horzcat Purpose Horizontal concate
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2hostid Purpose Return MATLAB serve
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Purpose Imaginary unit Syntax i a+b
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Remarks Nonscalar Expressions If th
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2ifft Purpose Inverse discrete Four
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2ifft2 Purpose Two-dimensional inve
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2ifftn Purpose Multidimensional inv
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2ifftshift Purpose Inverse FFT shif
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2im2java Purpose Convert image to J
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2imag Purpose Imaginary part of a c
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image(x,y,C,'PropertyName',Property
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The order of the operations must be
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Modifying Properties Image Properti
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Image Properties ButtonDownFcn stri
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0.5 1 1.5 2 2.5 3 3.5 4 4.5 0.5 1 1
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Image Properties slowest. The other
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Image Properties See Objects That C
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2imagesc Purpose Scale data and dis
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See Also image “Bit-Mapped Images
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Information Returned Format File Ty
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See Also imformats, imread, imwrite
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Field Value alpha Returns 1 if the
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2importdata Purpose Load data from
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Supported Formats [...] = imread(fi
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imread Note By default, Microsoft W
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[...] = imread(...,'Back','none');
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This example reads an ICO image, ap
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Supported Formats imwrite This tabl
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JPEG-Specific Parameters This table
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Parameter Values Default 'Transpare
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RAS-Specific Parameters This table
Page 489 and 490: imwrite L*a*b* Color Data For TIFF
Page 491 and 492: 2ind2rgb Purpose Convert an indexed
Page 493 and 494: IND = [3 4 5 6] s = [3,3]; [I,J] =
Page 495 and 496: 2Inf Purpose Infinity Syntax Inf In
Page 497 and 498: 2info Purpose Display Release Notes
Page 499 and 500: g(t) = t^2 You can convert the resu
Page 501 and 502: 2inmem Purpose Return functions in
Page 503 and 504: 2inpolygon Purpose Detect points in
Page 505 and 506: 2input Purpose Request user input S
Page 507 and 508: 2inputname Purpose Input argument n
Page 509 and 510: Check this field in the MATLAB comm
Page 511 and 512: 2int8, int16, int32, int64 Purpose
Page 513 and 514: 2interp1 Purpose One-dimensional da
Page 515 and 516: y = sin(x); xi = 0:.25:10; yi = int
Page 517 and 518: interp1 For the 'spline' method, in
Page 519 and 520: interp2 spacing is handled by mappi
Page 521 and 522: 2interp3 Purpose Three-dimensional
Page 523 and 524: 2interpft Purpose One-dimensional i
Page 525 and 526: interpn Discussion All the interpol
Page 527 and 528: interpstreamspeed coordinates for U
Page 529 and 530: See Also stream2, stream3, streamli
Page 531 and 532: 2intmax Purpose Return largest poss
Page 533 and 534: 2intwarning Purpose Control state o
Page 535 and 536: Examples Check the initial state of
Page 537 and 538: 2inv Purpose Matrix inverse Syntax
Page 539: See Also det, lu, rref Inputs of Ty
Page 543 and 544: See Also isa islogical Determine if
Page 545 and 546: To check for a sparse array, use is
Page 547 and 548: 2iscell Purpose Determine if input
Page 549 and 550: 2ischar Purpose Determine if input
Page 551 and 552: 2isempty Purpose Test if array is e
Page 553 and 554: f2: 50 B.f2 = 50; B.f1 = 25 B = f2:
Page 555 and 556: 2isfield Purpose Determine if input
Page 557 and 558: 2isfloat Purpose Detect floating-po
Page 559 and 560: 2ishandle Purpose Determines if val
Page 561 and 562: 2isinf Purpose Detect infinite elem
Page 563 and 564: 2iskeyword Purpose Determine if inp
Page 565 and 566: 2isletter Purpose Detect array elem
Page 567 and 568: 2ismember Purpose Detect members of
Page 569 and 570: 2ismethod Purpose Determine if inpu
Page 571 and 572: 2isnumeric Purpose Determine if inp
Page 573 and 574: 2isocaps Purpose Compute isosurface
Page 575 and 576: “Volume Visualization” for rela
Page 577 and 578: isonormals(x,y,z,data,p); isocolors
Page 579 and 580: See Also isosurface, isocaps, smoot
Page 581 and 582: isonormals Draw an isosurface from
Page 583 and 584: isosurface(...) with no output argu
Page 585 and 586: 2ispc Purpose Determine if PC (Wind
Page 587 and 588: 2isprop Purpose Determine if input
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2issorted Purpose Determine if set
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2isspace Purpose Detect space chara
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2isstr Purpose Determine if input i
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Category Description isstrprop wspa
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2isstruct Purpose Determine if inpu
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2isunix Purpose Determine if UNIX v
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2isvarname Purpose Determine if inp
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Purpose Imaginary unit Syntax j x+y
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2kron Purpose Kronecker tensor prod
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lasterr catch errmsg = lasterr; if(
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catch do_cleanup rethrow(lasterror)
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lastwarn Use lastwarn to determine
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2ldivide, rdivide Purpose Left or r
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legend(string_matrix) adds a legend
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Obsolete Location Values Obsolete S
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See Also LineSpec, plot In this exa
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m m Nn ( x) = ( - 1) legendre m Des
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2length Purpose Length of vector Sy
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license Image Processing Toolbox. T
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2light Purpose Create a light objec
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Modifying Properties Light Property
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HandleVisibility {on} | callback |
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Light Properties to define object h
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2lighting Purpose Select the lighti
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2line Purpose Create line object Sy
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Finally, pop the first line to the
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Line Properties queue — Queue the
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Line Properties color with that of
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Line Properties Marker character (s
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Line Properties Type string (read o
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Lineseries Properties routine as a
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Lineseries Properties obtain greate
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Lineseries Properties Marker charac
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Lineseries Properties Type string (
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Lineseries Properties MATLAB reeval
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Specifier Marker Type 'square' or s
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1 0.8 0.6 0.4 0.2 0 −0.2 −0.4
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2linkaxes Purpose Synchronize limit
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2linkprop Purpose Keep same value f
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The property linking code is in ste
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2linsolve Purpose Solve a linear sy
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opts.UT = true; opts.TRANSA = true;
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2listdlg Purpose Create list select
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2load Purpose Load workspace variab
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Example 2 — Loading From an ASCII
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See Also load, save, saveobj loadob
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2log1p Purpose Compute log(1+x) acc
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2log10 Purpose Common (base 10) log
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2loglog Purpose Log-log scale plot
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2logm Purpose Matrix logarithm Synt
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2logspace Purpose Generate logarith
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2lower Purpose Convert string to lo
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2lscov Purpose Least squares soluti
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Reference [1] Strang, G., Introduct
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[x,resnorm,residual,exitflag] = lsq
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2lsqr Purpose LSQR implementation o
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[x,flag,relres,iter,resvec] = lsqr(
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2lu Purpose LU matrix factorization
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P Row permutation matrix satisfying
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The determinant of the example matr
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2luinc Purpose Incomplete LU matrix
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thresh is the pivot threshold betwe
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0 100 200 300 400 0 100 200 300 400
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Purpose Magic square Syntax M = mag
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350 300 250 200 150 100 50 n = 18 0
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2mat2cell Purpose Divide matrix int
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2mat2str Purpose Convert a matrix i
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2material Purpose Controls the refl
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2matlab (UNIX) Purpose Start MATLAB
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Values for archOption Option Descri
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matlab (UNIX) separated list of lic
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matlab (UNIX) The following table l
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Variable Definition and Standard As
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Variable Definition and Standard As
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2matlab (Windows) Purpose Start MAT
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matlab (Windows) matlab mgrOption s
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2matlabcolon (matlab:) Purpose Run
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and depending on which link is clic
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2matlabrc Purpose MATLAB startup M-
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2max Purpose Maximum elements of an
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2median Purpose Median value of arr
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2menu Purpose Generate a menu of ch
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2mesh, meshc, meshz Purpose Mesh pl
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5 0 −5 −10 3 2 1 0 −1 −2 Ge
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mesh, meshc, meshz meshc assumes th
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Y = 10 10 10 11 11 11 12 12 12 13 1
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GetBSTR GetVariantVector addpropert
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2mex Purpose Compile MEX-function f
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2mexext Purpose Return the MEX-file
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2mget (ftp) Purpose Download file f
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2minres Purpose Minimum Residual me
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Examples Example 1. n = 100; on = o
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2mislocked Purpose True if M-file o
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s = 1 mess = '' messid = '' mkdir I
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2mkpp Purpose Make a piecewise poly
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See Also ppval, spline, unmkpp mkpp
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mldivide \, mrdivide / Note Matrix
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-0.0321 mldivide \, mrdivide / The
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mldivide \, mrdivide / forward subs
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X = U\(L\B) mldivide \, mrdivide /
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2mlint Purpose Check M-files for po
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2mlintrpt Purpose Run mlint for fil
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See Also mlint mlintrpt For more in
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2mmfileinfo Purpose Information abo
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audio_data = Format: 'MPEGLAYER3' N
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2more Purpose Display Command Windo
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If the current directory is project
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2movegui Purpose Move GUI figure to
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2movie Purpose Play recorded movie
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2movie2avi Purpose Create an Audio/
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2mput (ftp) Purpose Upload file or
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2mtimes Purpose Matrix multiplicati
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while the third column of B is B(:,
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2multibandread Purpose Read band in
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Subsetting Parameters multibandread
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2multibandwrite Purpose Write multi
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Band Column Row C C C C C B B B B B
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2munlock Purpose Allow M-file or ME
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Purpose Return maximum identifier l
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See Also Inf, isnan unique([1 1 NaN
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error(nargchk(2, 4, nargin, 'struct
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end See Also inputname, varargin, v
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error(nargoutchk(2, 4, nargout, 'st
Page 843 and 844:
2ndgrid Purpose Generate arrays for
Page 845 and 846:
2ndims Purpose Number of array dime
Page 847 and 848:
First, newplot reads the current fi
Page 849 and 850:
2nextpow2 Purpose Next power of two
Page 851 and 852:
2noanimate Purpose Change EraseMode
Page 853 and 854:
2norm Purpose Vector and matrix nor
Page 855 and 856:
2normest Purpose 2-norm estimate Sy
Page 857 and 858:
2now Purpose Current date and time
Page 859 and 860:
2null Purpose Null space of a matri
Page 861 and 862:
2num2cell Purpose Convert a numeric
Page 863 and 864:
2num2str Purpose Number to string c
Page 865 and 866:
2numel Purpose Number of elements i
Page 867 and 868:
Purpose Solve fully implicit differ
Page 869 and 870:
sol.x Steps chosen by the solver. I
Page 871 and 872:
[y0,yp0] = decic(@weissinger,t0,y0,
Page 873 and 874:
ode45, ode23, ode113, ode15s, ode23
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Page 879 and 880:
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Page 883 and 884:
odefile 2odefile Purpose Define a d
Page 885 and 886:
options = < Insert options = odeset
Page 887 and 888:
3 2 1 0 −1 −2 −3 0 2 4 6 8 10
Page 889 and 890:
2odeget Purpose Extract properties
Page 891 and 892:
Solver output Jacobian matrix Event
Page 893 and 894:
Jacobian Matrix Properties (for ode
Page 895 and 896:
Step Size Properties Property Value
Page 897 and 898:
odextend Note To extend solutions o
Page 899 and 900:
2open Purpose Open files based on e
Page 901 and 902:
Example 4 — Opening a MAT-File Th
Page 903 and 904:
figure_handle = openfig(...) return
Page 905 and 906:
openvar 2openvar Purpose Open works
Page 907 and 908:
2optimset Purpose Create or edit an
Page 909 and 910:
Option Value Description optimset O
Page 911 and 912:
c: 3 a: 1 snew = orderfields(s) sne
Page 913 and 914:
2ordschur Purpose Reorder eigenvalu
Page 915 and 916:
See Also print, set the orient port
Page 917 and 918:
2otherwise Purpose Default part of
Page 919 and 920:
Symbols $matlabroot 2-1430 @ 2-915
Page 921 and 922:
COM object methods inspect 2-1184 i
Page 923 and 924:
equal arrays detecting 2-1228, 2-12
Page 925 and 926:
format precision when writing 2-890
Page 927 and 928:
appending to when saving (WriteMode
Page 929 and 930:
one-dimensional 2-1189 two-dimensio
Page 931 and 932:
lighting 2-1315 Line creating 2-131
Page 933 and 934:
M-files checking for problems 2-147
Page 935 and 936:
elational 2-1368 symbols 2-1050 opt
Page 937 and 938:
R range space 2-1592 RAS files para
Page 939 and 940:
tensor, Kronecker product 2-1283 te
Page 941:
Line property 2-1331 lineseries pro
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Figure Properties - SERC

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