MATLAB Function Reference Volume 1: A - E - Bad Request

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esselh 2besselh Purpose Bessel functions of the third kind (Hankel functions) Syntax H = besselh(nu,K,Z) H = besselh(nu,Z) H = besselh(nu,1,Z,1) H = besselh(nu,2,Z,1) [H,ierr] = besselh(...) Definitions The differential equation 2-136 z 2 z 2 2 d y d z dy ------ z dz 2 ν 2 + + ( – )y= 0 where ν is a nonnegative constant, is called Bessel’s equation, and its solutions are known as Bessel functions. Jν( z) and J– ν( z) form a fundamental set of solutions of Bessel’s equation for noninteger ν . Y ν( z) is a second solution of Bessel’s equation—linearly independent of Jν( z) — defined by Y ν( z) Jν( z) cos( νπ) – J– ν( z) = ----------------------------------------------------------sin( νπ) The relationship between the Hankel and Bessel functions is ( 1) Hν ( z) = Jν( z) + i Yν( z) H2ν ( z) = Jν( z) – i Yν( z) Description H = besselh(nu,K,Z) for K = 1 or 2 computes the Hankel functions ( 1) ( 2) Hν ( z) or Hν ( z) for each element of the complex array Z. If nu and Z are arrays of the same size, the result is also that size. If either input is a scalar, it is expanded to the other input's size. If one input is a row vector and the other is a column vector, the result is a two-dimensional table of function values. H = besselh(nu,Z) uses K = 1. ( 1) H = besselh(nu,1,Z,1) scales Hν ( z) by exp(-i*z). ( 2) H = besselh(nu,2,Z,1) scales Hν ( z) by exp(+i*z).
[H,ierr] = besselh(...) also returns an array of error flags: ierr = 1 Illegal arguments. ierr = 2 Overflow. Return Inf. ierr = 3 Some loss of accuracy in argument reduction. ierr = 4 Unacceptable loss of accuracy, Z or nu too large. ierr = 5 No convergence. Return NaN. besselh 2-137
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MATLAB® MATLAB Function Reference
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1 Functions By Category Development
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Functions By Category 1
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Development Environment Development
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ls List directory on UNIX matlabroo
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Mathematics Mathematics Functions f
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Slash or right matrix divide ' Tran
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Matrix Analysis cond Condition numb
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atan, atanh Inverse tangent and inv
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Correlation corrcoef Correlation co
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Convex Hull convhull Convex hull co
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etainc Incomplete beta function bet
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Tree Operations etree Elimination t
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permute Rearrange dimensions of mul
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int8 Convert to signed 8-bit intege
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Array Manipulation : Specify range
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itxor Bit-wise XOR Relational Opera
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evalc Evaluate MATLAB expression wi
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methodsview Display information on
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open Open files of various types us
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Microsoft WAVE Sound Functions wavp
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gtext Place text on 2-D graph using
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tsearch Search for enclosing Delaun
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3-D Visualization 3-D Visualization
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• Selecting Region of Interest Co
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Creating Graphical User Interfaces
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Controlling Program Execution uires
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Alphabetical List of Functions 2
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axis . . . . . . . . . . . . . . .
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clear . . . . . . . . . . . . . . .
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dbup . . . . . . . . . . . . . . .
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expm . . . . . . . . . . . . . . .
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Arithmetic Operators + - * / \ ^ '
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See Also all, any, find, strcmp Rel
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Logical Operators & | ~ expression
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Special Characters [ ] ( ) {} = ' .
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2Colon : Purpose Create vectors, ar
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2abs Purpose Absolute value and com
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Algorithm acos and acosh use these
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Algorithm acot and acoth use these
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See Also csc, csch acsc, acsch 2-33
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actxcontrol Note There are two ways
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actxserver 2actxserver Purpose Crea
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fig=figure; set(fig,'DoubleBuffer',
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Verify that the files were added to
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[W,ierr] = airy(k,Z) also returns a
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2all Purpose Test to determine if a
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2allchild Purpose Find all children
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• 'rand' - set the AlphaData prop
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2alphamap Purpose Specify the figur
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2angle Purpose Phase angle Syntax P
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2any Purpose Test for any nonzeros
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2area Purpose Area fill of a two-di
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2asec, asech Purpose Inverse secant
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2asin, asinh Purpose Inverse sine a
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2assignin Purpose Assign a value to
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2atan, atanh Purpose Inverse tangen
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2atan2 Purpose Four-quadrant invers
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2audioplayer Purpose Create an audi
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Property Description Type Type Name
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Method Description audiorecorder is
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audiorecorder Examples Example 1 Us
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2auwrite Purpose Write NeXT/SUN (.a
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Parameter Value Default You can als
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2aviinfo Purpose Return information
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2aviread Purpose Read an Audio Vide
Page 139 and 140: While the basic purpose of an axes
Page 141 and 142: In this example, the first plot occ
Page 143 and 144: Property Name Property Description
Page 151 and 152: Axes Properties objects in the axes
Page 153 and 154: CameraView Angle [0 1 0] (positive
Page 155 and 156: Color {none} | ColorSpec Axes Prope
Page 157 and 158: X-, Y-, Z-Limits following table de
Page 159 and 160: Axes Properties FontName A name suc
Page 161 and 162: Axes Properties When a handle’s v
Page 163 and 164: Axes Properties • replacechildren
Page 165 and 166: Axes Properties define object handl
Page 167 and 168: Visible {on} | off Axes Properties
Page 169 and 170: XMinorGrid, YMinorGrid, ZMinorGrido
Page 171 and 172: 2axis Purpose Axis scaling and appe
Page 173 and 174: Examples The statements axis off tu
Page 175 and 176: 5 4.5 4 3.5 3 2.5 2 1.5 1 0.5 axis(
Page 177 and 178: 2balance Purpose Improve accuracy o
Page 179 and 180: Now the eigenvectors are well behav
Page 181 and 182: ar, barh distinct elements and show
Page 183 and 184: See Also bar3, ColorSpec, patch, st
Page 185 and 186: ar3, bar3h •'stacked' displays on
Page 187 and 188: See Also bar, LineSpec, patch 1 0.5
Page 189: 2beep Purpose Produce a beep sound
Page 193 and 194: esseli, besselk and the other is a
Page 195 and 196: 2besselj, bessely Purpose Bessel fu
Page 197 and 198: 0.19602657795532 0.28670098806392 0
Page 199 and 200: 1/168 1/252 1/360 1/495 1/660 In th
Page 201 and 202: Examples Example 1. bicg(afun,b,tol
Page 203 and 204: flag = relres = iter = 1 1 0 The va
Page 205 and 206: 4559 This time U2 is nonsingular an
Page 207 and 208: time to precondition and converge t
Page 209 and 210: Example Example 1. bicgstab bicgsta
Page 211 and 212: icgstab flag2 is 0 because bicgstab
Page 213 and 214: 2bin2dec Purpose Binary to decimal
Page 215 and 216: 2bitcmp Purpose Complement bits Syn
Page 217 and 218: 2bitmax Purpose Maximum floating-po
Page 219 and 220: 2bitset Purpose Set bit Syntax C =
Page 221 and 222: 2bitxor Purpose Bit-wise XOR Syntax
Page 223 and 224: 2blkdiag Purpose Construct a block
Page 225 and 226: 2break Purpose Terminate execution
Page 227 and 228: 2builtin Purpose Execute builtin fu
Page 229 and 230: parameters Optional. A vector that
Page 231 and 232: function dydx = twoode(x,y) dydx =
Page 233 and 234: fprintf('The fourth eigenvalue is a
Page 235 and 236: 2bvpget Purpose Extract properties
Page 237 and 238: solinit is a structure with the fol
Page 239 and 240: Property Value Description Vectoriz
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2calendar Purpose Calendar Syntax c
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camdolly Remarks camdolly sets the
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Examples This example creates a lig
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See Also campos, camtarget camlooka
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end camorbit Rotation in the camera
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2campos Purpose Set or query the ca
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2camproj Purpose Set or query the p
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2camtarget Purpose Set or query the
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2camup Purpose Set or query the cam
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2camva Purpose Set or query the cam
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2camzoom Purpose Zoom in and out on
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2cart2pol Purpose Transform Cartesi
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2case Purpose Case switch Descripti
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2catch Purpose Begin catch block De
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each time they render. CData values
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The blue color of the ocean is the
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2cdf2rdf Purpose Convert complex di
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2cdfinfo Purpose Return details abo
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Column 5 - Record and Dimension Var
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Examples Read all of the data from
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2cell Purpose Create cell array Syn
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2cell2struct Purpose Convert cell a
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2cellfun Purpose Apply a function t
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2cellplot Purpose Graphically displ
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2cgs Purpose Conjugate Gradients Sq
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Alternatively, use this matrix-vect
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2char Purpose Create character arra
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2checkin Purpose Check file into so
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2checkout Purpose Check file out of
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Example 2 - Check out Multiple File
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Destroy the positive definiteness (
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cholinc michol stands for modified
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0 20 40 60 80 100 120 140 0 50 nz =
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cholinc For hilb(20), the Cholesky
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2cholupdate Purpose Rank 1 update t
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Compare chol with cholupdate: R1 =
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2clabel Purpose Contour plot elevat
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2class Purpose Create object or ret
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2clc Purpose Clear Command Window G
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clear keyword clears the items indi
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To clear all compiled M- and MEX-fu
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2clf Purpose Clear current figure w
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2clock Purpose Current time as a da
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See Also delete, figure, gcf must s
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2closereq Purpose Default figure cl
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2colamd Purpose Column approximate
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2colmmd Purpose Sparse column minim
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See Also colamd, colperm, lu, sppar
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colorbar See Also colormap 10 8 6 4
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2colormap Purpose Set and get the c
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The rgbplot function plots colormap
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2ColorSpec Purpose Color specificat
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2colperm Purpose Sparse column perm
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2comet3 Purpose Three-dimensional c
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2compass Purpose Plot arrows emanat
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2complex Purpose Construct complex
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2computer Purpose Identify informat
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2cond Purpose Condition number with
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2condest Purpose 1-norm condition n
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coneplot(...,'method') specifies th
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3. Add the Slice Planes coneplot
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2conj Purpose Complex conjugate Syn
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2contour Purpose Two-dimensional co
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3 2.5 2 1.5 1 0.5 0 −0.5 −1 −
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2contour3 Purpose Three-dimensional
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2contourc Purpose Low-level contour
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2contourf Purpose Filled two-dimens
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2contourslice Purpose Draw contours
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3 2 1 0 −1 −2 −3 3 2 1 0 −1
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2conv Purpose Convolution and polyn
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In practice however, conv2 computes
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4 2 0 −2 −4 15 This figure comb
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2convhull Purpose Convex hull Synta
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2convhulln Purpose n-D convex hull
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2convn Purpose N-dimensional convol
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2copyobj Purpose Copy graphics obje
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2corrcoef Purpose Correlation coeff
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Algorithm cos and cosh use these al
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Algorithm cot and coth use these al
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2cplxpair Purpose Sort complex numb
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2cross Purpose Vector cross product
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Algorithm csc and csch use these al
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5 10 15 20 25 30 7 14 21 28 35 42 1
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2cumprod Purpose Cumulative product
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2cumtrapz Purpose Cumulative trapez
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2curl Purpose Computes the curl and
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See Also streamribbon, divergence c
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2cylinder Purpose Generate cylinder
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See Also sphere, surf 1 0.8 0.6 0.4
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daspect the window). This means set
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2date Purpose Current date string S
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Examples Convert a date string to a
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dateform (number) dateform (string)
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2datetick Purpose Label tick lines
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datetick('x',11) % Replace x-axis t
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ans = See Also clock, datenum, date
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See Also dbcont, dbdown, dbquit, db
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2dbdown Purpose Change local worksp
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dblquad The integrnd function integ
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2dbquit Purpose Quit debug mode Gra
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2dbstatus Purpose List all breakpoi
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2dbstop Purpose Set breakpoints in
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Examples The file buggy, used in th
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2dbtype Purpose List M-file with li
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2ddeadv Purpose Set up advisory lin
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2ddeexec Purpose Send string for ex
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2ddepoke Purpose Send data to appli
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2ddereq Purpose Request data from a
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2ddeterm Purpose Terminate DDE conv
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2deal Purpose Deal inputs to output
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2deblank Purpose Strip trailing bla
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2dec2bin Purpose Decimal to binary
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2deconv Purpose Deconvolution and p
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2del2 Purpose Discrete Laplacian Sy
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See Also diff, gradient V = 4*del2(
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Visualization Use one of these func
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1 0.5 0 −0.5 −1 15 delaunay Nex
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2delaunay3 Purpose 3-D Delaunay tes
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delaunay3 [2] National Science and
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3 9 1 5 2 9 1 6 2 3 9 4 2 3 9 1 7 9
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2delete Purpose Delete files or gra
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2delete (serial) Purpose Remove a s
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2depfun Purpose List the dependent
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depfun not examine the files on whi
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2det Purpose Matrix determinant Syn
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y = -0.0000 1.0000 -2.0000 1.0000 0
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2diag Purpose Diagonal matrices and
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2dialog Purpose Create and display
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2diff Purpose Differences and appro
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2dir Purpose Display directory list
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2disp Purpose Display text or array
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2display Purpose Overloaded method
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2divergence Purpose Computes the di
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2dlmread Purpose Read an ASCII deli
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2dmperm Purpose Dulmage-Mendelsohn
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2docopt Purpose Display location of
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To open the notepad editor and retu
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2double Purpose Convert to double-p
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2drawnow Purpose Complete pending d
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2dsearchn Purpose n-D nearest point
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2edit Purpose Edit or create M-file
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2eig Purpose Find eigenvalues and e
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Examples The matrix eigenvalues, it
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2eigs Purpose Find a few eigenvalue
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eigs(A,K,sigma,opts) and eigs(A,B,k
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[dum,ind] = sort(abs(d)); plot(dlm,
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(lambda - 4.0), where lambda is an
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2ellipj Purpose Jacobi elliptic fun
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2ellipke Purpose Complete elliptic
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2ellipsoid Purpose Generate ellipso
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2elseif Purpose Conditionally execu
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2end Purpose Terminate for, while,
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2eomday Purpose End of month Syntax
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2erf, erfc, erfcx, erfinv, erfcinv
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2error Purpose Display error messag
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errorbar(X,Y,E) 1.4 See Also LineSp
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displays this dialog box on a UNIX
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2etree Purpose Elimination tree Syn
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2eval Purpose Execute a string cont
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2evalc Purpose Evaluate MATLAB expr
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Limitation evalin cannot be used re
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If item is a Java class, then exist
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2exit Purpose Terminate MATLAB (sam
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2expint Purpose Exponential integra
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expm Notice that the diagonal eleme
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2ezcontour Purpose Easy to use cont
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ezcontour See Also contour, ezconto
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f( x, y) 31 ( - x) 2e x2 - ( y + 1)
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2ezmesh Purpose Easy to use 3-D mes
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2ezmeshc Purpose Easy to use combin
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2ezplot Purpose Easy to use functio
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2ezplot3 Purpose Easy to use 3-D pa
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2ezpolar Purpose Easy to use polar
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sqrt(x.^2 + y.^2); is written as: e
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2ezsurfc Purpose Easy to use combin
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See Also ezcontour, ezcontourf, ezm
Page 593 and 594:
Symbols ! 2-22 - 2-10 % 2-22 & 2-20
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eta function (defined) 2-144 incomp
Page 597 and 598:
colamd 2-277 colmmd 2-279 Color Axe
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dbclear 2-378 dbcont 2-380 dbdown 2
Page 601 and 602:
ellipj 2-481 ellipke 2-483 elliptic
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help files, location for UNIX 2-457
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mldivide (M-file function equivalen
Page 607 and 608:
sound files reading 2-76 writing 2-
Page 609:
ZGrid, Axes property 2-114 ZLim, Ax
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