application.nameAndVersion=3D-XplorMath-J, Version 1.0 (January 2008) # Names for buttons; used in various places. buttonNames.OK=OK buttonNames.Revert=Revert buttonNames.Cancel=Cancel buttonNames.Defaults=Defaults buttonNames.Apply=Apply buttonNames.AddParameter=Add Parameter buttonNames.RemoveParameter=Remove Parameter # Some command names used in vmm.core vmm.core.commands.Create=Create vmm.core.commands.ShowAxes=Show Axes vmm.core.commands.HideAxes=Hide Axes vmm.core.commands.SetParameters=Set Parameters... vmm.core.commands.SetAnimationParameters=Set Morphing... vmm.core.commands.SetNumberOfFrames=Set Number of Frames... vmm.core.commands.SetXYWindow=Set Visible Ranges... vmm.core.commands.BlackBackground=Black Background vmm.core.commands.WhiteBackground=White Background vmm.core.commands.CustomBackground=Custom Background... vmm.core.dialogtitle.SetParameters=Set Parameters vmm.core.dialogtitle.SetAnimationParameters=Set Parameter Ranges for Morphing vmm.core.dialogtitle.ChooseBackground=Select Background Color vmm.core.dialogtitle.SetNumberOfFrames=Set Number of Frames vmm.core.dialogtitle.SetXYWindowDialog=Set Visible Ranges vmm.core.SettingsDialog.errorTitle=Error in Input vmm.core.OutOfMemoryError=Low memory error; try closing windows or making them smaller. vmm.core.Display.FrameNum=Frame number {0} vmm.core.Display.FrameNumOf=Frame number {0} of {1} vmm.core.Display.OutOfMemDuringAnimation=; OUT OF MEMORY vmm.core.Display.statusbar.noExhibit=No exhibit vmm.core.Display.statusbar.animationRunning=Animation Running vmm.core.Display.statusbar.animationPaused=Animation Paused vmm.core.Display.statusbar.oneShotMouseTask=Waiting for mouse input vmm.core3D.commands.PerspectiveProjection=Perspective Projection vmm.core3D.commands.OrthographicProjection=Orthographic Projection vmm.core3D.commands.Wireframe=Wireframe Display vmm.core3D.commands.PatchRendering=Patch Display vmm.core3D.commands.Monocular=Monocular Vision vmm.core3D.commands.RedGreenStereo=Anaglyph Stereo Vision vmm.core3D.commands.Stereograph=Parallel View Stereo Vision vmm.core3D.commands.CrossEyeStereo=Cross-Eyed StereoVision vmm.core3D.commands.DragAsSurface=Rotate/Drag/Zoom as Surface vmm.core3D.commands.NormalOrientation=Normal Orientation vmm.core3D.commands.ReverseOrientation=Reverse Orientation vmm.core3D.commands.NoOrientation=No Orientation vmm.core3D.commands.PhongShading=Phong Shading vmm.core3D.commands.FlatShading=Flat Shading vmm.core3D.commands.Color=Color vmm.core3D.commands.BlackAndWhite=Black And White vmm.core3D.commands.SetViewpoint=Set Viewpoint and Up Direction... vmm.core3D.commands.LightSettings=Light Settings... vmm.core3D.commands.EnableLighting=Lighting Enabled vmm.core3D.LightSettingsDialog.dialogTitle=Change Light Settings vmm.core3D.LightSettingsDialog.ColorDialogTitle=Select Light Color vmm.core3D.LightSettingsDialog.LightColors=Light Colors vmm.core3D.LightSettingsDialog.LightDirections=Light Directions vmm.core3D.LightSettingsDialog.Specular=Specular Light Settings vmm.core3D.LightSettingsDialog.DefaultsButtons=Some Useful Presets vmm.core3D.LightSettingsDialog.Source0=Source 0 vmm.core3D.LightSettingsDialog.Source1=Source 1 vmm.core3D.LightSettingsDialog.Source2=Source 2 vmm.core3D.LightSettingsDialog.Source3=Source 3 vmm.core3D.LightSettingsDialog.Ambient=Ambient vmm.core3D.LightSettingsDialog.SetColorButton=Set... vmm.core3D.LightSettingsDialog.Ratio=Ratio vmm.core3D.LightSettingsDialog.Exponent=Exponent vmm.core3D.LightSettingsDialog.SpecularRatio=Specular Ratio vmm.core3D.LightSettingsDialog.SpecularExponent=Specular Exponent vmm.core3D.LightSettingsDialog.preset.Defaults=Default Settings vmm.core3D.LightSettingsDialog.preset.HighSpecularityDefault=High Specularity Default vmm.core3D.LightSettingsDialog.preset.White=White Light vmm.core3D.LightSettingsDialog.preset.DistinctlyColoredSidesDefault=Distinctly Colored Sides Default vmm.core3D.LightSettingsDialog.BadDirectionVector=Direction vector cannot be zero. vmm.core3D.SetViewpointDialog.ViewpointComponent={0}-component of viewpoint vmm.core3D.SetViewpointDialog.UpDirectionComponent={0}-component of up direction vmm.core3D.SetViewpointDialog.ViewFrom=View From... vmm.core3D.SetViewpointDialog.UpDirection=Up Direction... vmm.core3D.SetViewpointDialog.BadViewpointError=Viewpoint cannot be (0,0,0). vmm.core.SetNumberOfFramesDialog.FramesForMorphing=Number of Frames in Morph Animation vmm.core.SetNumberOfFramesDialog.UseFilmstrip=Use Filmstrip for Morph Animation vmm.core.SetNumberOfFramesDialog.FramesAvailable=(At least {0} frames should be available) vmm.core.SetXYWindowDialog.info=Set the range of values that you want to see
in the horizontal and vertical directions.
(Note: Ranges might be adjusted to fit window size.) vmm.core.SetXYWindowDialog.XmaxLessThanXminError=The horizontal maximum must be greater than\nthe horizontal minimum. vmm.core.SetXYWindowDialog.YmaxLessThanYminError=The vertical maximum must be greater than\nthe vertical minimum. vmm.core.dialogtitle.SetXYWindowDialog.xmin=Horizonal Minimum vmm.core.dialogtitle.SetXYWindowDialog.xmax=Horizonal Maximum vmm.core.dialogtitle.SetXYWindowDialog.ymin=Vertical Minimum vmm.core.dialogtitle.SetXYWindowDialog.ymax=Vertical Maximum # Some common strings common.xmin=Minimum x-value common.xmax=Maximum x-value common.ymin=Minimum y-value common.ymax=Maximum y-value common.Red=Red common.Green=Green common.Blue=Blue common.Hue=Hue common.Saturation=Saturation common.Brightness=Brightness common.Front=Front common.Back=Back genericParam.aa=aa genericParam.bb=bb genericParam.cc=cc genericParam.dd=dd genericParam.ee=ee genericParam.ff=ff genericParam.gg=gg genericParam.hh=hh genericParam.ii=ii common.AlternativeMorph=Alternative Morph vmm.core.SaveAndRestore.error.NotValidExhibitDocument=Document is not a valid XML representation of an Exhibit. vmm.core.SaveAndRestore.error.CantGetDocumentBuilder=Unable to read exhibit settings;\nXML input does not seem to be available. vmm.core.SaveAndRestore.error.IllegalXMLFile=Cannot read the file "{0}".\nThe file does not contain valid XML data.\nError message:\n {1} vmm.core.SaveAndRestore.error.InputError=Cannot read the file "{0}".\nInput Error:\n {1} vmm.core.SaveAndRestore.error.NotAnExhibitInfoFile=The file "{0}" does not contain\nthe description of an Exhibit. Found an element\nnamed "{1}" instead of "exhibit-info". vmm.core.SaveAndRestore.error.IllegalDataInFile=Illegal data found in input file "{0}".\nError message:\n {1} vmm.core.SaveAndRestore.error.MissingExhibitElement=Illegal data found in file "{0}".\nMissing "exhibit" element.". vmm.core.SaveAndRestore.error.TooManyExhibitElements=Illegal data found in file "{0}".\nOnly one "exhibit" element is allowed. vmm.core.SaveAndRestore.error.MissingClassNameForExhibit=Missing class name for exhibit-info. vmm.core.SaveAndRestore.error.MissingClassNameForParameter=Missing class name for parameter. vmm.core.SaveAndRestore.error.MissingClassNameForDecoration=Missing class name for decoration. vmm.core.SaveAndRestore.error.MissingClassNameForView=Missing class name for view. vmm.core.SaveAndRestore.error.CantMakeObject=Cannott create object of class {0}. vmm.core.SaveAndRestore.error.MissingValueAttribute=Missing "value" attribute for "{0}" tag. vmm.core.SaveAndRestore.error.MissingPropertyName=Missing "name" attribute in "property" tag. vmm.core.SaveAndRestore.error.ErrorReadingProperty=Cannot set property with name "{0}":\nError: {1} vmm.core.SaveAndRestore.error.BadValueAttribute=The string "{0}" is not a\nlegal "value" attribute for "{1}" tag. vmm.core.SaveAndRestore.error.IllegelIntInColorSpec=Illegal color specification in {0} element. vmm.core.SaveAndRestore.error.BadColorValue=Illegal value for property of type color. vmm.core.SaveAndRestore.error.BadVector3DValue=Illegal value for property of type Vector3D. vmm.core.SaveAndRestore.error.BadPoint2DDValue=Illegal value for property of type Point3D. vmm.core.SaveAndRestore.error.WrongNumberOfExpressions=Unexpected number of expressions found for user exhibit. vmm.core.SaveAndRestore.error.MissingExpressionDefinition=Missing "definition" attribute in "expression" element. vmm.core.SaveAndRestore.error.BadExpressionDefinition=Illegal definition found for expression.\nError reported for "{0}":\n {1} vmm.core.IntegerParam.badExpression="Illegal integer: "{0}"\nis not a legal expression.\nError: {1} vmm.core.IntegerParam.undefined="Illegal integer: "{0}"\nhas an undefined or infinite value. vmm.core.IntegerParam.notAnInteger="Illegal integer: "{0}"\nis not an integer. vmm.core.RealParam.badExpression="Illegal real number: "{0}"\nis not a legal expression.\nError: {1} vmm.core.RealParam.undefined="Illegal real number: "{0}"\nhas an undefined or infinite value. vmm.core.ParameterInput.badExpression=Illegal value entered for "{0}".\n"{1}" is not a legal expression.\nError: {2} vmm.core.ParameterInput.badStartExpression=Illegal animation start value for "{0}".\n"{1}" is not a legal expression.\nError: {2} vmm.core.ParameterInput.badEndExpression=Illegal animation end value for "{0}".\n"{1}" is not a legal expression.\nError: {2} vmm.core.ParameterInput.undefinedExpression=Illegal value entered for "{0}".\nThe expression "{1}"\nhas an undefined or infinite value. vmm.core.ParameterInput.undefinedStartExpression=Illegal animation start value for "{0}".\nThe expression "{1}"\nhas an undefined or infinite value. vmm.core.ParameterInput.undefinedEndExpression=Illegal animation end value for "{0}".\nThe expression "{1}"\nhas an undefined or infinite value. vmm.core.ParameterInput.badint=Illegal value entered for "{0}".\nThe value must be an integer. vmm.core.ParameterInput.intOutOfRange=Value of "{0}" must be an integer\nin the range {1} to {2}. vmm.core.ParameterInput.rangeError1=Value of "{0}" must be a positive real number. vmm.core.ParameterInput.rangeError2=Value of "{0}" must be a\npositive real number less than {1}. vmm.core.ParameterInput.rangeError3=Value of "{0}" must be a real number\ngreater than or equal to {1}. vmm.core.ParameterInput.rangeError4=Value of "{0}" must be a real number\nless than or equal to {1}. vmm.core.ParameterInput.rangeError5=Value of "{0}" must be a real number\n in the range {1} to {2}. vmm.core.ParameterDialog.ParameterName=Parameter Name vmm.core.ParameterDialog.ParameterValue=Parameter Value vmm.core.ParameterDialog.AnimationStartValue=Animation Start Value vmm.core.ParameterDialog.AnimationEndValue=Animation End Value vmm.core.ParameterDialog.NoAnimatedParameters=Sorry, no animated parameters are available. vmm.core.ParameterDialog.errorTitle=Input Error vmm.core.UserExhibitDialog.EnterExpressions=Functions that define the exhibit: vmm.core.UserExhibitDialog.Parameters=Parameters that can be used in the functions: vmm.core.UserExhibitDialog.ViewLimits=Range of displayed values: vmm.core.UserExhibitDialog.ViewpointPanelTitle=Viewpoint: vmm.core.UserExhibitDialog.ViewFrom=View From vmm.core.UserExhibitDialog.ExhibitParameters=Other parameters of the exhibit: vmm.core.UserExhibitDialog.RequestParamName=Enter a name for the parameter\nthat you want to add: vmm.core.UserExhibitDialog.error.BadParamName=That is not a legal parameter name.\nThe name must start with a letter\nand contain only letters and digits. vmm.core.UserExhibitDialog.error.DuplicateParam=Sorry, the name "{0}" is already in use. vmm.core.UserExhibitDialog.error.parseError="{0}" is not a legal expression.\nError: {1} vmm.core.UserExhibitDialog.error.badReal=Illegal value entered for {0}.\nThe value must be a real number. vmm.core.UserExhibitDialog.error.badRange=Illegal value range. "{0}"\nmust be greater than "{1}". vmm.core.UserExhibitDialog.error.badViewpoint=Illegal value entered for viewpoint.\nCoordinates must be real numbers. vmm.core.UserExhibitDialog.message.canceled=Exhibit creation was canceled by the user. vmm.core.UserExhibitDialog.errorTitle=Input Error vmm.core.UserExhibitDialog.RemoveParameterDialogTitle=Remove Parameter vmm.core.UserExhibitDialog.RemoveParameterDialogPrompt=Click the parameter that
you would like to remove: vmm.core.UserExhibitDialog.SetUserData=Change User Data... vmm.planecurve.parametric.PlaneCurveParameteric.tmin=Minimum Value of t vmm.planecurve.parametric.PlaneCurveParameteric.tmin.hint=The curve consists of points (x(t),y(t)) for
t in the range tmin to tmax vmm.planecurve.parametric.PlaneCurveParameteric.tmax=Maximium Value of t vmm.planecurve.parametric.PlaneCurveParameteric.tmax.hint=The curve consists of points (x(t),y(t)) for
t in the range tmin to tmax vmm.planecurve.parametric.PlaneCurveParameteric.tResolution=t resolution vmm.planecurve.parametric.PlaneCurveParameteric.tResolution.hint=The curve is drawn by plotting (x(t),y(t))
for this many values of t. vmm.planecurve.parametric.PlaneCurveParameteric.ToggleUseCloud=Show Dotted Plane During Create vmm.planecurve.parametric.PlaneCurveParameteric.ToggleUseCloudForCircle=Show Radius During Create vmm.planecurve.parametric.PlaneCurveParameteric.showTangentsAndNormals=Show Tangents and Normals vmm.planecurve.parametric.PlaneCurveParameteric.showParallelCurves=Show Parallel Curves vmm.planecurve.parametric.PlaneCurveParameteric.showParallelCurvesWithNormals=Show Parallel Curves with Normals vmm.planecurve.parametric.PlaneCurveParameteric.showOsculatingCircles=Show Osculating Circles vmm.planecurve.parametric.PlaneCurveParameteric.showOsculatingCirclesWithNormals=Show Osculating Circles with Normals vmm.planecurve.parametric.PlaneCurveParameteric.DisplayEvolute=Display Evolute vmm.planecurve.parametric.Parabola.showNormalsWithMouse=Drag Mouse to Show Normals vmm.planecurve.parametric.Circle=Circle vmm.planecurve.parametric.Circle.Radius=Radius vmm.planecurve.parametric.Circle.Radius.hint=The circle consits of all points which
lie at this distance from its center, (0,0). vmm.planecurve.parametric.Ellipse=Ellipse vmm.planecurve.parametric.Ellipse.VerticalRadius=Vertical Radius vmm.planecurve.parametric.Ellipse.VerticalRadius.hint=Distance from the center to the top of the ellipse vmm.planecurve.parametric.Ellipse.HorizontalRadius=Horizontal Radius vmm.planecurve.parametric.Ellipse.HorizontalRadius.hint=Distance from the center to the right end of the ellipse vmm.planecurve.parametric.Hyperbola=Hyperbola vmm.planecurve.parametric.Hyperbola.a=a vmm.planecurve.parametric.Hyperbola.a.hint=The hyperbola is defined by parametric equations
x(t) = a*cosh(t) and y(t) = b*sinh(t) vmm.planecurve.parametric.Hyperbola.b=b vmm.planecurve.parametric.Hyperbola.b.hint=The hyperbola is defined by parametric equations
x(t) = a*cosh(t) and y(t) = b*sinh(t) vmm.planecurve.parametric.Parabola=Parabola vmm.planecurve.parametric.Parabola.FocalLength=Focal Length vmm.planecurve.parametric.Parabola.FocalLength.hint=The parabola consists of points that are equidistant
\ from the point (f,0) and the line x = -f, where
f is the focal length. vmm.planecurve.parametric.SineCurve=Sine Curve vmm.planecurve.parametric.SineCurve.amplitude=Amplitude vmm.planecurve.parametric.SineCurve.frequency=Frequency vmm.planecurve.parametric.SineCurve.phase=Phase vmm.planecurve.parametric.Folium=Folium vmm.planecurve.parametric.Lissajous=Lissajous Curve vmm.planecurve.parametric.ArchimedeanSpiral=Archimedean Spiral vmm.planecurve.parametric.NephroidOfFreeth=Nephroid of Freeth vmm.planecurve.parametric.Catenary=Catenary vmm.planecurve.parametric.Tractrix=Tractrix vmm.planecurve.parametric.Cissoid=Cissoid vmm.planecurve.parametric.Conchoid=Conchoid of Nicomedes vmm.planecurve.parametric.Conchoid.aa=d vmm.planecurve.parametric.Conchoid.aa.hint=d is the distance from
the red line of drawing to (0,0)
\ (x^2+y^2)*(y-d)^2=l^2*y^2 vmm.planecurve.parametric.Conchoid.bb=l vmm.planecurve.parametric.Conchoid.bb.hint= l is The length of the drawing cord
(x(t)=(d*sin(t)+l*tan(t)
y(t)=l+d*cos(t) vmm.planecurve.parametric.Conchoid.tmin.hint=should not be changed vmm.planecurve.parametric.Conchoid.tmax.hint=should not be changed vmm.planecurve.parametric.Logarithmicspiral=Logarithmic Spiral vmm.planecurve.parametric.Convex=Curves of Constant Width vmm.planecurve.parametric.Convex.aa=aa vmm.planecurve.parametric.Convex.aa.hint= The support function of the curve is: h(t)=
\ aa+bb*cos(t)+cc*cos(2t)+dd*cos(3t)+ee*cos(4t)+ff*cos(5t)

\ With the normal n(t)=(cos(t),sin(t)) one writes the curve as:
c(t) = h(t)*n(t)+h'(t)*n'(t)
\ The curve has constant width 2*aa if cc=ee=0

The curve has cusps if (h+h'')(t) is not positive. vmm.planecurve.parametric.Convex.bb=bb vmm.planecurve.parametric.Convex.cc=cc vmm.planecurve.parametric.Convex.dd=dd vmm.planecurve.parametric.Convex.ee=ee vmm.planecurve.parametric.Convex.ff=ff vmm.planecurve.parametric.Convex.phase=phase vmm.planecurve.parametric.Zykloide=Cycloid on line vmm.planecurve.parametric.Zykloide.radius=radius vmm.planecurve.parametric.Zykloide.stick=writing stick vmm.planecurve.parametric.Zykloide.velo=velocity vmm.planecurve.parametric.Astroid=Astroid vmm.planecurve.parametric.Deltoid=Deltoid vmm.planecurve.parametric.Nephroid=Nephroid vmm.planecurve.parametric.Epizykloide=Epi- and Hypocycloids vmm.planecurve.parametric.Epizykloide.radius=radius vmm.planecurve.parametric.Epizykloide.radius.hint=Parametric equation:
x(t)=radius*cos(t)+stick*radius/frequency*cos(frequ*t)
y(t)=radius*sin(t)+stick*radius/frequency*sin(frequ*t) vmm.planecurve.parametric.Epizykloide.frequency=plus or minus: frequency vmm.planecurve.parametric.Epizykloide.frequency.hint= plus: Epicycloid
minus: Hypocycloid vmm.planecurve.parametric.Epizykloide.stick=drawing stick vmm.planecurve.parametric.Epizykloide.stick.hint= Double generation: Replace stick and frquency
by 1/stick and 1/frequency vmm.planecurve.parametric.Limacon=Lima\u00e7on vmm.planecurve.parametric.Lemniskate=Lemniscate vmm.planecurve.parametric.Lemniskate.bb=bb vmm.planecurve.parametric.Lemniskate.bb.hint=Lemniscate: L(t) = (cos(t)/(1+sin^2(t)), sin(t)cos(t)/(1+sin^2(t))
\ Circle: C(t) = (sqrt(2)/(1+sin^2(t)), sqrt(2)sin(t)/(1+sin^2(t))
Mechanical family: scale(bb)*(L(t) + (1-tan(bb))*C(t)). vmm.planecurve.parametric.UserPlaneCurveParametric=User Plane Curve (parametric) vmm.planecurve.parametric.UserPlaneCurveParametric.DialogTitle=Enter Data for Parametric Plane Curve vmm.planecurve.parametric.UserPlaneCurveParametric.error.BadExprerssionsInXML=Unable to read definitions of functions from XML file. vmm.planecurve.parametric.UserPlaneCurveParametricPolar=User Plane Curve (parametric polar) vmm.planecurve.parametric.UserPlaneCurveParametricPolar.DialogTitle=Enter Data for Parametric Polar Plane Curve vmm.planecurve.parametric.UserPlaneCurveParametricPolar.error.BadExprerssionsInXML=Unable to read definitions of functions from XML file. vmm.planecurve.parametric.UserPlaneCurveParametricKappa=User Plane Curve (by curvature) vmm.planecurve.parametric.UserPlaneCurveParametricKappa.DialogTitle=Enter Data for Parametric Plane Curve by Curvature vmm.planecurve.parametric.UserPlaneCurveParametricKappa.error.BadExprerssionsInXML=Unable to read definitions of functions from XML file. vmm.spacecurve.SpaceCurve.UseReverseCollar=Thick Curve vmm.spacecurve.parametric.SpaceCurveParameteric.tmin=Minimum Value of t vmm.spacecurve.parametric.SpaceCurveParameteric.tmin.hint=The curve consists of points (x(t),y(t),z(t)) for
t in the range tmin to tmax vmm.spacecurve.parametric.SpaceCurveParameteric.tmax=Maximium Value of t vmm.spacecurve.parametric.SpaceCurveParameteric.tmax.hint=The curve consists of points (x(t),y(t),z(t)) for
t in the range tmin to tmax vmm.spacecurve.parametric.SpaceCurveParameteric.tResolution=t resolution vmm.spacecurve.parametric.SpaceCurveParameteric.tResolution.hint=The curve is drawn by plotting (x(t),y(t),z(t))
for this many values of t. vmm.spacecurve.parametric.SpaceCurveParameteric.TubeSize=Tube Size vmm.spacecurve.parametric.SpaceCurveParameteric.TubeSize.hint=The radius of the tube around the curve
that is shown when "View As Tube" is selected. vmm.spacecurve.parametric.SpaceCurveParametric.view.ViewAsCurve=View As Curve vmm.spacecurve.parametric.SpaceCurveParametric.view.ViewAsTube=View As Tube vmm.spacecurve.parametric.SpaceCurveParameteric.showRepereMobile=Show Repere Mobile vmm.spacecurve.parametric.TorusKnot=Torus Knot vmm.spacecurve.parametric.TorusKnot.aa=Major Radius vmm.spacecurve.parametric.TorusKnot.aa.hint=The torus is formed by rotating an ellipse
about a circle of this radius in the xz-plane. vmm.spacecurve.parametric.TorusKnot.bb=Ellipse Radius 1 vmm.spacecurve.parametric.TorusKnot.bb.hint=The torus is formed by rotating an ellipse about
the y-axis. This is one radius of the ellipse. vmm.spacecurve.parametric.TorusKnot.cc=Ellipse Radius 2 vmm.spacecurve.parametric.TorusKnot.cc.hint=The torus is formed by rotating an ellipse about
the y-axis. This is the second radius of the ellipse. vmm.spacecurve.parametric.TorusKnot.dd=Latitudinal Wrapping vmm.spacecurve.parametric.TorusKnot.dd.hint=The number of turns that the knot makes
about the vertical axis through the torus. vmm.spacecurve.parametric.TorusKnot.ee=Longitudinal Wrapping vmm.spacecurve.parametric.TorusKnot.ee.hint=The number of turns that the know makes
about the circle at the center of the torus. vmm.spacecurve.parametric.TorusKnot.ShowCloudTorus=Show Dot Cloud Torus vmm.spacecurve.parametric.SphericalCycloid=Spherical Cycloid vmm.spacecurve.parametric.SphericalCycloid.aa=Road Radius = PI*a, a vmm.spacecurve.parametric.SphericalCycloid.bb=Drawing Stick = (rolling radius)*b, b vmm.spacecurve.parametric.SphericalCycloid.ee=e-fold Dihedral Symmetry, e vmm.spacecurve.parametric.SphericalCycloid.ee.hint=Negative e: the rolling circle is inside the road circle. vmm.spacecurve.parametric.SphericalEllipse=Spherical Ellipse vmm.spacecurve.parametric.SphericalEllipse.aa=2a = Large Axis, choose < PI. a vmm.spacecurve.parametric.SphericalEllipse.ee=e = Distance between Foci, choose < 2a. e vmm.spacecurve.parametric.ConstantCurvature=Curves of Constant Curvature vmm.spacecurve.parametric.ConstantCurvature.aa=kappa vmm.spacecurve.parametric.ConstantCurvature.aa.hint=The constant curvature is kappa. vmm.spacecurve.parametric.ConstantCurvature.bb=mean value of the torsion: bb vmm.spacecurve.parametric.ConstantCurvature.bb.hint=The torsion function is:
tau(t) = bb + cc*sin(t) + dd*sin(2t) + ee*sin(3t). vmm.spacecurve.parametric.ConstantCurvature.cc=1st Fourier coeff of torsion: cc vmm.spacecurve.parametric.ConstantCurvature.cc.hint=The torsion function is:
tau(t) = bb + cc*sin(t) + dd*sin(2t) + ee*sin(3t). vmm.spacecurve.parametric.ConstantCurvature.dd=2nd Fourier coeff of torsion: dd vmm.spacecurve.parametric.ConstantCurvature.dd.hint=The torsion function is:
tau(t) = bb + cc*sin(t) + dd*sin(2t) + ee*sin(3t). vmm.spacecurve.parametric.ConstantCurvature.ee=3rd Fourier coeff of torsion: ee vmm.spacecurve.parametric.ConstantCurvature.ee.hint=The torsion function is:
tau(t) = bb + cc*sin(t) + dd*sin(2t) + ee*sin(3t). vmm.spacecurve.parametric.ConstantCurvature.closedCurves=Other Closed Curves vmm.spacecurve.parametric.ConstantCurvature.example0=Default, 4-sym vmm.spacecurve.parametric.ConstantCurvature.example1=6-symmetric vmm.spacecurve.parametric.ConstantCurvature.example2=Example 2 vmm.spacecurve.parametric.ConstantCurvature.example3=5-2-knot vmm.spacecurve.parametric.ConstantCurvature.example4=11-2-knot, tau>0 vmm.spacecurve.parametric.ConstantTorsion=Curves of Constant Torsion vmm.spacecurve.parametric.ConstantTorsion.closedCurves=Other Closed Curves vmm.spacecurve.parametric.ConstantTorsion.aa=tau vmm.spacecurve.parametric.ConstantTorsion.aa.hint=The constant torsion is tau. vmm.spacecurve.parametric.ConstantTorsion.bb=mean value of the curvature: b vmm.spacecurve.parametric.ConstantTorsion.bb.hint=The curvature function is:
kappa(t) = b + c*cos(f*t) + d*cos(2*f*t) + e*cos(3*f*t). vmm.spacecurve.parametric.ConstantTorsion.cc=1st Fourier coeff of curvature: c vmm.spacecurve.parametric.ConstantTorsion.dd=2nd Fourier coeff of curvature: d vmm.spacecurve.parametric.ConstantTorsion.ee=3rd Fourier coeff of curvature: e vmm.spacecurve.parametric.ConstantTorsion.ff=Fourier frequency: f vmm.spacecurve.parametric.ConstantTorsion.example0=threefold, simple vmm.spacecurve.parametric.ConstantTorsion.example1=threefold, middle vmm.spacecurve.parametric.ConstantTorsion.example2=threefold, most vmm.spacecurve.parametric.ConstantTorsion.example3=fourfold symmetry vmm.spacecurve.parametric.ConstantTorsion.example4=fivefold symmetry vmm.spacecurve.parametric.Helix=Helix vmm.spacecurve.parametric.Helix.radiusX=Radius Along X Axis vmm.spacecurve.parametric.Helix.radiusZ=Radius Along Z Axis vmm.spacecurve.parametric.Helix.risePerTurn=Distance Between Turns vmm.spacecurve.parametric.CinquefoilKnot=Cinquefoil Knot vmm.spacecurve.parametric.GrannyKnot=Granny Knot vmm.spacecurve.parametric.SquareKnot=Square Knot vmm.spacecurve.parametric.Figure8Knot=Figure 8 Knot vmm.spacecurve.parametric.Loxodrome=Loxodrome vmm.spacecurve.parametric.Loxodrome.Slope=Slope vmm.spacecurve.parametric.Viviani=Viviani (parametric) vmm.spacecurve.parametric.Viviani.CylinderRadius=Cylinder Radius vmm.spacecurve.parametric.UserSpaceCurveParametric=User Space Curve (parametric) vmm.spacecurve.parametric.UserSpaceCurveParametric.DialogTitle=Enter Data for Parametric Space Curve vmm.spacecurve.parametric.UserSpaceCurveKappaTau= User Space Curve (curvature & torsion) vmm.spacecurve.parametric.UserSpaceCurveKappaTau.DialogTitle=Enter Curvature & Torsion Data for Space Curve vmm.surface.Surface.command.GridSpacing=Grid Spacing vmm.surface.Surface.command.GridSpacing.0=Show Every Grid Line vmm.surface.Surface.command.GridSpacing.1=Show Every Other Grid Line vmm.surface.Surface.command.GridSpacing.2=Show Every Third Grid Line vmm.surface.Surface.command.GridSpacing.3=Show Every Sixth Grid Line vmm.surface.Surface.command.GridSpacing.4=Show Every Twelfth Grid Line vmm.surface.Surface.command.GridSpacing.5=Show No Grid Lines vmm.surface.Surface.command.OmitUGridLines=Omit U Grid Lines vmm.surface.Surface.command.OmitVGridLines=Omit V Grid Lines vmm.surface.Surface.uPatchCount=U Resolution vmm.surface.Surface.vPatchCount=V Resolution vmm.surface.parametric.SurfaceParametric.Umin=Minimum Value of u vmm.surface.parametric.SurfaceParametric.Umax=Maximum Value of u vmm.surface.parametric.SurfaceParametric.Vmin=Minimum Value of v vmm.surface.parametric.SurfaceParametric.Vmax=Maximum Value of v vmm.surface.parametric.SurfaceParametric.SurfaceColoration=Surface Coloration vmm.surface.parametric.SurfaceParametric.color.WhitePaint=White Paint vmm.surface.parametric.SurfaceParametric.color.UserPaint=User Paint... vmm.surface.parametric.SurfaceParametric.color.TwoSidedDefault=Distinctly Colored Sides Default vmm.surface.parametric.SurfaceParametric.color.TwoSidedUser=User Two-Sided Paint... vmm.surface.parametric.SurfaceParametric.color.GaussCurvature=Hue = Gauss Curvature vmm.surface.parametric.SurfaceParametric.color.MeanCurvature=Hue = Mean Curvature vmm.surface.parametric.SurfaceParametric.color.UserHSB=User Coloration (HSB)... vmm.surface.parametric.SurfaceParametric.color.UserRGB=User Coloration (RGB)... vmm.surface.parametric.SurfaceParametric.dialog.UserColorFunctions=Input Color Definition Functions vmm.surface.parametric.SurfaceParametric.error.BadExpression=Illegal Expression. Error:\n {0} vmm.surface.parametric.SurfaceParametric.dialog.UserColor=Input Surface Color vmm.spacecurve.parametric.SpaceCurveParametric.ShowEvolute=Display the Evolute vmm.spacecurve.parametric.SpaceCurveParametric.ShowOsculatingCircles=Show Osculating Circles vmm.surface.parametric.Paraboloid=Paraboloid vmm.surface.parametric.Paraboloid.xRadius=Radius in X Direction vmm.surface.parametric.Paraboloid.yRadius=Radius in Y Direction vmm.surface.parametric.Paraboloid.height=Height in Z Direction vmm.surface.parametric.MonkeySaddle=Monkey Saddle vmm.surface.parametric.RightConoid=Right Conoid vmm.surface.parametric.Conoid=General Conoid vmm.surface.parametric.Conoid.aa=Scale z-direction, aa vmm.surface.parametric.Conoid.bb=z = aa*sin(bb*v). bb vmm.surface.parametric.Astroidale=Norm One Surface Family vmm.surface.parametric.Astroidale.aa=Scaling Size vmm.surface.parametric.Astroidale.bb=Equation: |x|^p + |y|^p + |z|^p = 1. 1/p vmm.surface.parametric.SnailShell=Snail Shell Surface vmm.surface.parametric.DiracBelt=Dirac Belt vmm.surface.parametric.WhitneyUmbrella=Whitney Umbrella vmm.surface.parametric.Ellipsoid=Ellipsoid vmm.surface.parametric.Hyperboloid1=Hyperboloid 1-Sheet vmm.surface.parametric.Hyperboloid1.Ruling=Morph with Family of Lines vmm.surface.parametric.Hyperboloid2=Hyperboloid 2-Sheet vmm.surface.parametric.HyperbolicParaboloid=Hyperbolic Paraboloid vmm.surface.parametric.LissajousSurface=Lissajous Surface vmm.surface.parametric.Torus=Torus vmm.surface.parametric.DoublyHopfFiberedTori=Doubly Hopf Fibered Tori vmm.surface.parametric.DoublyHopfFiberedTori.aa=Distance from one Focal Circle vmm.surface.parametric.DoublyHopfFiberedTori.bb=Angle of Rotation around Circle on Torus vmm.surface.parametric.DoublyHopfFiberedTori.RotateAroundCircle=Rotate Around Hopf Circle vmm.surface.parametric.BianchiPinkall = Bianchi Pinkall Tori vmm.surface.parametric.BianchiPinkall.aa=Latitude, Distance from Focal Circle/PI vmm.surface.parametric.BianchiPinkall.bb=Amplitude of Oscillation/PI vmm.surface.parametric.BianchiPinkall.cc=Frequency of Oscillation vmm.surface.parametric.BianchiPinkall.dd=Angle of Rotation around Torus-Circle/PI vmm.surface.parametric.BianchiPinkall.RotateAroundCircle=Rotate Around Hopf Circle vmm.surface.parametric.Cyclide=Cyclide vmm.surface.parametric.ConstCurvFamilyOfRevolution=(K=1)-Family of Revolution vmm.surface.parametric.ConstCurvFamilyOfRevolution.aa=Equator Radius vmm.surface.parametric.ConstCurvFamilyOfRevolution.IsometricMorph=Isometric Morph vmm.surface.parametric.ConstCurvOneHelicoids=(K=1)-Family of Helicoids vmm.surface.parametric.ConstCurvOneHelicoids.aa=Maximal Helix Radius vmm.surface.parametric.ConstCurvOneHelicoids.hh=Helix Translation vmm.surface.parametric.ConstCurvOneHelicoids.IsometricMorph=Isometric Morph vmm.surface.parametric.SievertEnneper=Sievert-Enneper (K=1) vmm.pseudospherical.OneSoliton=1-Soliton (Parametric) vmm.pseudospherical.TwoSoliton=2-Soliton (Parametric) vmm.pseudospherical.ThreeSoliton=3-Soliton (Parametric) vmm.pseudospherical.Breather=Breather vmm.pseudospherical.BreatherPlusSoliton=Breather Plus Soliton vmm.surface.parametric.Enneper_Cartesian=Enneper (Cartesian) vmm.surface.parametric.Enneper_Polar=Enneper (Polar) vmm.surface.parametric.Scherk=Scherk vmm.surface.parametric.Henneberg=Henneberg vmm.surface.parametric.Catalan=Catalan vmm.surface.parametric.Catenoid_Helicoid=Catenoid-Helicoid vmm.surface.parametric.InvertedBoys=InvertedBoy's vmm.surface.parametric.Kusner_Dihedral_Symmetric=Kusner (Dihedral Symmetric) vmm.surface.parametric.WeierstrassMinimalSurface.AssocFamParam=Associate Family Param vmm.surface.parametric.WeierstrassMinimalSurface.ShowConjugateSurface=Show Conjugate Surface vmm.surface.parametric.WeierstrassMinimalSurface.ShowMoreCopies=Show More Copies vmm.surface.parametric.WeierstrassMinimalSurface.NumberOfCopies=Number of Copies vmm.surface.parametric.WeierstrassMinimalSurface.NumberOfCopies.Default=Default Number vmm.surface.parametric.WeierstrassMinimalSurface.NumberOfCopies.NTimesDefault={0} times the Default vmm.surface.parametric.WeierstrassMinimalSurface.AssociateMorph=Associate Family Morph vmm.surface.parametric.LidinoidHfamily.AssociateMorph=Short(bb) Associate Family Morph vmm.surface.parametric.Helicoid_Weierstrass=Helicoid from Weierstrass vmm.surface.parametric.WavyEnneper_Weierstrass=Wavy Enneper vmm.surface.parametric.WavyEnneper_Weierstrass.MainEx=Main Exponent of z vmm.surface.parametric.WavyEnneper_Weierstrass.HighP=Higher Power of z vmm.surface.parametric.WavyEnneper_Weierstrass.CoeffA=Coefficient.abs of Higher Power vmm.surface.parametric.WavyEnneper_Weierstrass.CoeffP=Coefficient.phi of Higher Power vmm.surface.parametric.CatenoidEnneper=Catenoid-Enneper vmm.surface.parametric.CatenoidEnneper.MainEx=Enneper Exponent vmm.surface.parametric.CatenoidEnneper.CoeffA=Enneper Weight vmm.surface.parametric.PlanarEnneper=Planar Enneper vmm.surface.parametric.PlanarEnneper.MainEx=Enneper Exponent vmm.surface.parametric.PlanarEnneper.Only3=Try only 0,1,2,3. d vmm.surface.parametric.DoubleEnneper=Double Enneper vmm.surface.parametric.DoubleEnneper.MainEx=(1 < ) Enneper Exponent vmm.surface.parametric.DoubleEnneper.aa=Equator Width vmm.surface.parametric.DoubleEnneper.bb=Twist For Cyclic Morph vmm.surface.parametric.Scherk_Weierstrass=Scherk's Saddle Tower vmm.surface.parametric.Scherk_Weierstrass.MainEx=Dihedral Symmetry Parameter vmm.surface.parametric.Scherk_Weierstrass.aa=Wing Angle Parameter vmm.surface.parametric.Skew_K_noid=Skewsymmetric K-Noid vmm.surface.parametric.Skew_K_noid.MainEx=Dihedral Symmetry Parameter vmm.surface.parametric.Skew_K_noid.aa=Angle Between Catenoid Ends vmm.surface.parametric.Skew_K_noid.AssociateMorph=Associate Family Morph vmm.surface.parametric.Symmetric_K_Noid= Symmetric K-Noid vmm.surface.parametric.Symmetric_K_Noid.MainEx=Number Of Catenoid Ends vmm.surface.parametric.Symmetric_K_Noid.aa=Relative Size Of (even number of) Ends vmm.surface.parametric.Symmetric_K_Noid.AssociateMorph=Associate Family Morph vmm.surface.parametric.LopezRosNoGo=Lopez-Ros No-Go vmm.surface.parametric.LopezRosNoGo.pos=Position Of Catenoid Ends vmm.surface.parametric.LopezRosNoGo.lrp=Lopez Ros Parameter vmm.surface.parametric.LopezRosNoGo.PeriodOpenMorph=Period Open Morph vmm.surface.parametric.Riemann=Riemann's Minimal Family vmm.surface.parametric.Riemann.aa=Branch Value Of Gauss Map vmm.surface.parametric.DoublyPeriodicJD=Rectangular Tori, Gauss Map = P/P' vmm.surface.parametric.DoublyPeriodicJD.aa=Branch Value Of Gauss Map vmm.surface.parametric.DoublyPeriodicJE=Rectangular Tori, Gauss Map = JE vmm.surface.parametric.DoublyPeriodicJE.aa=Branch Value Of Gauss Map vmm.surface.parametric.CatenoidFence=Fence Of Catenoids (joined by handles) vmm.surface.parametric.CatenoidFence.pieces=Put 2 or 3 for more pieces vmm.surface.parametric.CatenoidFence.aa=Branch Value Of Coordinate Map vmm.surface.parametric.CostaHoffmanMeeks=Costa-Hoffman-Meeks Family vmm.surface.parametric.CostaHoffmanMeeks.exponent=Dihedral Symmetry Parameter vmm.surface.parametric.CostaHoffmanMeeks.lrp=Lopez-Ros Parameter vmm.surface.parametric.ChenGackstatter=Chen-Gackstatter Family vmm.surface.parametric.ChenGackstatter.exponent=Dihedral Symmetry Parameter vmm.surface.parametric.ChenGackstatter.lrp=Lopez-Ros Parameter vmm.surface.parametric.SchwarzHsurface=Schwarz' H Family (Triangular Catenoids) vmm.surface.parametric.SchwarzHsurface.aa=Branch Value Of Gauss Map aa vmm.surface.parametric.LidinoidHfamily=Lidinoid (in H Family) vmm.surface.parametric.LidinoidHfamily.aa=Branch Value Of Gauss Map aa vmm.surface.parametric.LidinoidHfamily.bb=bb-Bounds are used for afp in 2nd Associate Morph vmm.surface.parametric.OtherTriangCatenoid=Other Triangular Catenoids vmm.surface.parametric.OtherTriangCatenoid.aa=Branch Value Of Gauss Map aa vmm.surface.parametric.SchwarzPDsurface=Schwarz' P-D Family vmm.surface.parametric.SchwarzPDsurface.aa=Branch Point of Coordinate Function aa vmm.surface.parametric.SchwarzPDsurface.bb=aa < Branch Point of Coordinate Function bb vmm.surface.parametric.SchoenCLPsurface=A. Schoen's CLP Family vmm.surface.parametric.SchoenCLPsurface.aa=Branch Point of Coordinate Function aa vmm.surface.parametric.SchoenCLPsurface.bb=aa < Branch Point of Coordinate Function bb vmm.surface.parametric.SchoenGyroid=A. Schoen's Gyroid vmm.surface.parametric.DiracBelt.t=t vmm.surface.parametric.KuenSurface=Kuen Surface vmm.surface.parametric.DiniSurface=Dini Surface Family vmm.surface.parametric.ParametricBreather=Breather (Parametric) vmm.surface.parametric.MoebiusStrip=M\u00f6bius Strip vmm.surface.parametric.KleinBottle=Klein Bottle vmm.surface.parametric.KleinBottle.Twisting8=Rotate Twisting Eight vmm.surface.parametric.SteinerSurface=Steiner Surface vmm.surface.parametric.CrossCap=Cross Cap vmm.surface.parametric.BoyBryantKusner= Boy's Surface (BryantKusner) vmm.surface.parametric.UserSurfaceParametric=User Surface (parametric) vmm.surface.parametric.UserSurfaceParametric.DialogTitle=Enter Data for Parametric Surface vmm.surface.implicit.SurfaceImplicit.searchRadius = Radius of Search Sphere vmm.surface.implicit.SurfaceImplicit.rayTraceResolution = Raytrace Resolution vmm.surface.implicit.SurfaceImplicit.randomLineCount = Number of Random Lines vmm.surface.implicit.SurfaceImplicit.pointCloudCount = Number of Points in Point Cloud vmm.surface.implicit.SurfaceImplicit.level = Level vmm.surface.implicit.ImplicitEllipsoid=Ellipsoid vmm.surface.implicit.Ellipsoid.xSemiaxis= x Semi-axis vmm.surface.implicit.Ellipsoid.ySemiaxis= y Semi-axis vmm.surface.implicit.Ellipsoid.zSemiaxis= z Semi-axis vmm.surface.implicit.ImplicitParaboloid=Paraboloid vmm.surface.implicit.Paraboloid.b= b vmm.surface.implicit.Paraboloid.a= a vmm.surface.implicit.ImplicitHyperboloid1Sheet=Hyperboloid 1-Sheet vmm.surface.implicit.Hyperboloid1.a= a vmm.surface.implicit.ImplicitHyperboloid2Sheet=Hyperboloid 2-Sheet vmm.surface.implicit.Hyperboloid2.a= a vmm.surface.implicit.Hyperboloid2.b= b vmm.surface.implicit.ImplicitCone=Cone vmm.surface.implicit.Cone.a= a vmm.surface.implicit.CubeOktaeder= CubeOctaeder vmm.surface.implicit.CubeOktaeder.a= a vmm.surface.implicit.CubeOktaeder.b= b vmm.surface.implicit.Join2Tori= Join of Two Tori vmm.surface.implicit.Join2Tori.a= a vmm.surface.implicit.Join2Tori.b= b vmm.surface.implicit.Join2Tori.c= c vmm.surface.implicit.Pretzel= Pretzel vmm.surface.implicit.Pretzel.a= a vmm.surface.implicit.Pretzel.b= b vmm.surface.implicit.Pretzel.c= c vmm.surface.implicit.Pretzel.d= d vmm.surface.implicit.Genus2= Genus 2 vmm.surface.implicit.Genus2.a= a vmm.surface.implicit.Genus5= Genus 5 vmm.surface.implicit.OrthoCircles= Ortho Circles vmm.surface.implicit.Pilz= Pilz vmm.surface.implicit.Pilz.a= a vmm.surface.implicit.Pilz.b= b vmm.surface.implicit.Pilz.c= c vmm.surface.implicit.DecoCube= DecoCube vmm.surface.implicit.DecoCube.a= a vmm.surface.implicit.KummerQuartic= Kummer Quartic vmm.surface.implicit.KummerQuartic.a= a vmm.surface.implicit.BarthSextic= BarthSextic vmm.surface.implicit.BoysSurface= Boy's Surface vmm.surface.implicit.Torus= Torus vmm.surface.implicit.Torus.a= Meridian Radius vmm.surface.implicit.Torus.b= Soul Radius vmm.surface.implicit.CrossCap= Cross Cap vmm.surface.implicit.CrossCap.a= a vmm.surface.implicit.WhitneyUmbrella= Whitney Umbrella vmm.surface.implicit.SteinerRoman= Steiner Roman Surface vmm.surface.implicit.CayleyCubic= Cayley Cubic vmm.surface.implicit.DupinCyclides= Dupin Cyclides vmm.surface.implicit.DupinCyclides.a= a vmm.surface.implicit.DupinCyclides.b= b vmm.surface.implicit.DupinCyclides.c= c vmm.surface.implicit.DupinCyclides.d= d vmm.surface.implicit.ClebschCubic= Clebsch Cubic vmm.surface.implicit.UserSurfaceImplicit= User Implicit Surface vmm.conformalmap.ConformalMap.umin=umin vmm.conformalmap.ConformalMap.umax=umax vmm.conformalmap.ConformalMap.vmin=vmin vmm.conformalmap.ConformalMap.vmax=vmax vmm.conformalmap.ConformalMap.ures=U Resolution vmm.conformalmap.ConformalMap.vres=V Resolution vmm.conformalmap.ConformalMap.ToggleUseColor=Color Code Grid Lines vmm.conformalmap.Squaring=z --> z^x vmm.conformalmap.Inverse=z --> 1/(z - a) vmm.conformalmap.Sine=z --> Sine(z) vmm.conformalmap.NonConformal=Nonconformal: z --> conj(z) + a z^2 vmm.conformalmap.ZedPlus1OverZed=z --> 1/z + z vmm.conformalmap.HyperbolicIsometry=z --> (z + c)/(1 + conj(c)z) vmm.conformalmap.Exponentialfct=z --> exp((a+ib) z) vmm.conformalmap.ConformalMap.GetLineSegment=Choose Interval By Mouse vmm.conformalmap.ConformalMap.GetLine=Choose Line By Mouse vmm.conformalmap.ConformalMap.GetLCircle=Choose Circle By Mouse vmm.conformalmap.ConformalMap.RemoveFigures=Remove Lines and Circles vmm.conformalmap.ConformalMap.ToggleUse3D=View Image on Riemann Sphere vmm.conformalmap.ConformalMap.gridChoice=Input Grid Type vmm.conformalmap.ConformalMap.cartesian=Cartesian vmm.conformalmap.ConformalMap.polar=Polar vmm.conformalmap.ConformalMap.polarconformal=Polar Conformal vmm.conformalmap.ConformalMap.preComp=Precompose with vmm.conformalmap.ConformalMap.postComp=Postcompose with vmm.conformalmap.ConformalMap.id=Identity vmm.conformalmap.ConformalMap.inverse=Inversion (1/z) vmm.conformalmap.ConformalMap.fractlin=(1-z)/(1+z) vmm.conformalmap.ConformalMap.sqrt=Square Root vmm.conformalmap.ConformalMap.MissingAttributeError=Missing "{0}" attribute for gridLimits in settings file. vmm.conformalmap.ConformalMap.IncorrectArrayLength=Wrong number of values in "{0}" attribute for gridLimits in settings file. vmm.conformalmap.Squaring.exponent=Exponent x in z^x vmm.conformalmap.Inverse.preTranslate=Pre-Translation a vmm.conformalmap.HyperbolicIsometry.Rotation=Hyperbolic Rotation vmm.conformalmap.ConformalMap.sine=Sine vmm.conformalmap.NonConformal.coeffOfSquare=Coefficient a of z^2 vmm.conformalmap.Sine.b=b vmm.conformalmap.Sine.a=a vmm.conformalmap.CubicPolynomial=z --> a z^b + b z vmm.conformalmap.CubicPolynomial.coeffOfzexp=Coefficient a of z^b vmm.conformalmap.CubicPolynomial.coeffOfzexp.hint=The map is: z --> b*z + a*z^b vmm.conformalmap.CubicPolynomial.exponent=b #vmm.conformalmap.Exponentialfct.realFactor=a #vmm.conformalmap.Exponentialfct.imagFactor=b vmm.conformalmap.Exponentialfct.factor=a+ib vmm.conformalmap.Weierstrass_p=Weierstrass p Function #vmm.conformalmap.Weierstrass_p.a=Branch value P = a + ib: a #vmm.conformalmap.Weierstrass_p.b=Branch value P = a + ib: b vmm.conformalmap.Weierstrass_p.branchPoint=Branch Point a + ib vmm.conformalmap.Weierstrass_p.ures.hint=The U Resolution should be 4 times the V Resolution vmm.conformalmap.UserConformalMap=User Conformal Map vmm.conformalmap.ConformalMap.ToggleShowArgAndValue=Show Both Domain and Image vmm.conformalmap.ConformalMap.inputFigurePrompt=Drag Mouse on Domain to Input Figure vmm.conformalmap.ConformalMap.inputFigureWrongDisplay=Please drag the mouse on the domain,\nnot on the image, to input the figure. vmm.fractals.RepeatedSegmentFractal.fractality=Dimension Factor vmm.fractals.RepeatedSegmentFractal.fractality.hint=This parameter determines the fractal
dimension of the curve. As the parameter
varies between its minimum and maximum, the
fractal dimension varies from 1 to 2. vmm.fractals.RepeatedSegmentFractal.recurseLvl=Recursion Level vmm.fractals.RepeatedSegmentFractal.recurseLvl.hint=This parameter determines the number of
levels of "bumps" on the curve. In the
true fractal curve, the number is infinite,
but only this many levels are drawn. vmm.fractals.Koch=Koch Curve vmm.fractals.KochEscher=Koch Escher version vmm.fractals.Dragon=Dragon Curve vmm.fractals.Sierpinski=Sierpinski Curve vmm.fractals.Sierpinski.segmentchoice=Injective Curve vmm.fractals.Hilbert=Hilbert Curve vmm.fractals.Hilbert.segmentchoice=Repeated Segment Type vmm.fractals.Mandelbrot=Mandelbrot Set vmm.fractals.Mandelbrot.MaxIters=Maximum Iterations vmm.fractals.Mandelbrot.PointsOnOrbit=Points on Zero-Orbit vmm.fractals.Mandelbrot.juliaPointX=cx for Julia Set and Orbit vmm.fractals.Mandelbrot.juliaPointY=cy for Julia Set and Orbit vmm.fractals.Mandelbrot.RecenterOnPointMenuItem=Recenter on Point vmm.fractals.Mandelbrot.RecenterOnPointPrompt=Enter point to place at center of display vmm.fractals.Mandelbrot.MoveJuliaPoint=Set (cx,cy) with Mouse Click vmm.fractals.Mandelbrot.showJuliaAndOrbit.julia=Show Julia Set Outline for (cx,cy) vmm.fractals.Mandelbrot.showJuliaAndOrbit.orbit=Show Orbit of (0,0) for (cx,cy) vmm.fractals.Mandelbrot.showJuliaAndOrbit.both=Show Both vmm.fractals.Mandelbrot.showJuliaAndOrbit.none=Show Neither vmm.fractals.Mandelbrot.statusText.dragCross=Drag the white cross to move (cx,cy) #------------------ Added after January 10, 2007 -------------------------------------------- vmm.parser.ExpectedRealFoundComplex=The expression must be real-valued, not complex-valued. vmm.parser.ExpectedRealFoundBoolean=The expression must be real-valued, not boolean-valued. vmm.parser.EmpytDefinition=Can't parse an empty defintion. vmm.parser.ExtraStuff=Found extra characters in definition after the end of a complete legal expression. vmm.parser.UnexcpectedToken=Found "{0}" in an illegal postion. vmm.parser.UndefinedWord=Encountered an undefined word, "{0}". vmm.parser.UnknownChar=Encountered an unrecognized character, "{0}". vmm.parser.ExtraRightGroupThing=Encountered a "{0}" with no matching "{1}". vmm.parser.MissingRightGroupThing=Missing "{0}", needed to match a previous "{1}", but found "{2}". vmm.parser.MissingRightGroupThingAtEOS=Reached end of the definition while looking for "{0}" to match a previous "{1}". vmm.parser.IncompleteExpression=Incomplete expression; definition ended in the middle of a legal expression. vmm.parser.IllegalNumber=Illegal number "{0}". vmm.parser.FunctionRequiresParen=Arguments of function must be in parentheses, braces, or brackets. vmm.parser.MissingCloseOfArgumentList=Argument list of function must be closed by a matching "{0}". vmm.parser.NeedRealArgument=Argument type for function "{0}" must be real-valued. vmm.parser.NeedComplexArgument=Argument type for function "{0}" must be real or complex-valued. vmm.parser.TooManyArguments=Too many arguments for function "{0}". vmm.parser.NotEnoughArguments=Not enough arguments for function "{0}". vmm.parser.OperatorRequriesBoolean=The operator "{0}" requires logical-valued operands. vmm.parser.OperatorRequiresNumerical=The operator "{0}" requires numerical-valued operands. vmm.parser.ConditionalRequiresBoolean=The first operator of "?" must be of type logical. vmm.parser.ConditionalExpressionsMustBeNumerical=The expression after a "?" must be numerical. vmm.parser.RelationNotDefinedForComplex=The relational operator "{0}" is only defined for real-valued operands. vmm.parser.CantStringRelations=Can't string together more than one relation; use "AND". vmm.core.ComplexParam.undefined=Illegal complex number "{0}"; infinite or undefined. vmm.core.ComplexParam.badExpression=Illegal complex number: "{0}"\nis not a legal expression.\nError: {1} vmm.core.ParameterInput.rangeErrorComplex=The complex number is outside the acceptable range of values. vmm.core.ParameterInput.isInteger=Enter an integer or constant integer-valued expression. vmm.core.ParameterInput.isReal=Enter a real number or constant real-valued expression. vmm.core.ParameterInput.isComplex=Enter a complex number or constant complex-valued expression. vmm.core.ParameterInput.positive=The value must be positive. vmm.core.ParameterInput.nonnegative=The value must be non-negative. vmm.core.ParameterInput.range=The value must be between {0} and {1}, inclusive. vmm.core.ParameterInput.greater=The value must be greater than or equal to {0}. vmm.core.ParameterInput.less=The value must be less than or equal to {1}. vmm.core.ParameterInput.range.realpart=The real part must be between {0} and {1}, inclusive. vmm.core.ParameterInput.greater.realpart=The real part must be greater than or equal to {0}. vmm.core.ParameterInput.less.realpart=The real part must be less than or equal to {1}. vmm.core.ParameterInput.range.imaginarypart=The imaginary part must be between {0} and {1}, inclusive. vmm.core.ParameterInput.greater.imaginarypart=The imaginary part must be greater than or equal to {0}. vmm.core.ParameterInput.less.imaginarypart=The imaginary part must be less than or equal to {1}. vmm.core.AnimationLimitsDialog.noMorphing=No parameters are currently available for morphing. vmm.core.AnimatinonLimitsDialog.MorphButtonName=Morph vmm.core.UserExhibitDialog.AddParameterTitle=Create a New Parameter vmm.core.UserExhibitDialog.ParameterName=Name of the New Parameter: vmm.core.UserExhibitDialog.ParameterIsComplex=Parameter is complex-valued vmm.core.UserExhibitDialog.ParameterIsAnimateable=Parameter can be animated vmm.core.SaveAndRestore.error.UnknownFunctionInUserExhibitData=Unrecognized function name "{0}" found in user exhibit data. vmm.core.SaveAndRestore.error.MissingUserData=Missing User Data for User Exhibit. vmm.core.Util.error.BadString=Can't convert string "{0}" to required value type. vmm.spacecurve.parametric.SpaceCurveParametric.TubeSides=Tube Sides vmm.spacecurve.parametric.SpaceCurveParametric.TubeSides.hint=The number of sides around a cross section of
the tube, when the curve is viewd as a tube. vmm.spacecurve.parametric.SpaceCurveParametric.ShowTubeGrid=Show Gridlines on Tube vmm.fractals.Mandelbrot.RestoreDefaults=Restore Defaults vmm.fractals.Mandelbrot.DragToShowCoords=Drag Mouse to Show Coordinates vmm.fractals.Mandelbrot.DragToShowCoordsStatusText=Drag the Mouse to show (x,y) at Mouse Location vmm.fractals.Mandelbrot.ZoomIn=Zoom In vmm.fractals.Mandelbrot.ZoomOut=Zoom Out vmm.fractals.Mandelbrot.Examples=Examples vmm.fractals.Mandelbrot.PaletteLength=Palette Length vmm.fractals.Mandelbrot.PaletteLength.hint=Palette length is the number of different colors
\ used in the picture. Color is assigned to a point
\ depending on the number of iterations at that point.
\ The palette is repeated, as necessary, to cover the
\ full range of possible iteration counts. A value of
\ zero for the palette length means that the number of
\ colors in the palette is equal to the maximum number
\ of iterations. vmm.core3D.SetViewpointDialog.ClipDistance=Clip Distance vmm.core3D.SetViewpointDialog.UseDefaultClip=Use Default (25% of view distance) vmm.core3D.SetViewpointDialog.UseCustomClip=Custom Clip Distance vmm.core3D.commands.Set3DViewOptions=Set 3D View Options vmm.core3D.Set3DViewOptionsDialog.SetEyeSepMul=Set Eye Separation Multiplier vmm.core3D.Set3DViewOptionsDialog.SetViewModePref=Set View Style Preference vmm.core3D.Set3DViewOptionsDialog.EyeSepMul=Eye Separation Multipliler vmm.core3D.Set3DViewOptionsDialog.EyeSep.info=The Eye Separation Multiplier is applied to stereo
\ views. The default separation between the left and the right
\ eye is multiplied by this amount. Increasing this value will
\ increase the depth of the 3D view. vmm.core3D.SetAnaglyphDefaultMode.always=Always prefer anaglyph view to monocular. vmm.core3D.SetAnaglyphDefaultMode.never=Always prefer monocular view to analyglyph. vmm.core3D.SetAnaglyphDefaultMode.default=Use the view style specified by the exhibit. vmm.core3D.Set3DViewOptionsDialog.AnaglyphPref.info=What should the view style be for a new exhibit? vmm.core3D.Set3DViewOptionsDialog.info=Note that the settings in this dialog apply
\ to all 3D views, until you exit the program. vmm.core3D.Set3DViewOptionsDialog.SetAnaglyphObjectPosition=Set Anaglyph Object Positioning vmm.core3D.Set3DViewOptionsDialog.AnaglyphPositionOption=Move Object Forward in Anaglyph Mode vmm.polyhedron.Tetrahedron=Tetrahedron vmm.polyhedron.Cube=Hexahedron (Cube) vmm.polyhedron.Octahedron=Octahedron vmm.polyhedron.Dodecahedron=Dodecahedron vmm.polyhedron.Dodecahedron.EdgeLengthMorphCommand=Construction from Cube vmm.polyhedron.Icosahedron=Icosahedron vmm.polyhedron.Icosahedron.EdgeLengthMorphCommand=Construction from Octahedron vmm.polyhedron.Rhombohedron=Rhombohedron vmm.polyhedron.RhombicDodecahedron=Rhombic Dodecahedron vmm.polyhedron.IFS.thickWireframe=Use Thick Wireframe vmm.polyhedron.RegularPolyhedron.truncation=Truncation vmm.polyhedron.RegularPolyhedron.truncation.hint=This parameter is used to cut "facets" off the corners
\ of the standard polyhedron. A value of 1 indicates no
\ truncation. A value of 1/2 gives the maximum possible
\ truncation. A value of 2/3 gives the standard Archimedean
\ truncation, in which all edges have the same length. vmm.polyhedron.RegularPolyhedron.NoTruncation=No Truncation vmm.polyhedron.RegularPolyhedron.StandardTruncation=Archimedean Truncation vmm.polyhedron.RegularPolyhedron.MidpointTruncation=Midpoint Truncation vmm.polyhedron.RegularPolyhedron.Stellated=Stellated Polyhedron vmm.polyhedron.RegularPolyhedron.StellationMorph=Stellation Morph vmm.core3D.commands.setTransparency=Set Transparency vmm.core3D.SetTransparencyDialog.Transparent=Transparent vmm.core3D.SetTransparencyDialog.Opaque=Opaque vmm.core3D.SetTransparencyDialog.info=A minimal transparency value gives a fully opaque
\ surface. Larger values make the surface transparent.
\ The maximal value gives a surface that is completely
\ invisible. Transparency does not apply to grid lines. vmm.surface.implicit.PointCloud=Use Point Cloud Rendering vmm.surface.implicit.RayTrace=Use Ray-traced Rendering vmm.surface.implicit.ClebschCubic.DrawLines=Show the 27 Lines vmm.core.Display.PleaseClickRight=Waiting for mouse input in the right half of\nthe display. Please direct mouse action to the\ncorrect part of the display. vmm.core.Display.PleaseClickLeft=Waiting for mouse input in the left half of\nthe display. Please direct mouse action to the\ncorrect part of the display. vmm.fractals.Mandelbrot.statusText.DragToZoom=(Right-click and drag to zoom in.) vmm.fractals.Mandelbrot.statusText.DragToZoomMac=(Command-click and drag to zoom in.) vmm.core.Display.BuildingFrameNum=Creating frame number {0} vmm.core.Display.BuildingFrameNumOf=Creating frame number {0} of {1} vmm.ode.TimeSpan=TimeSpan vmm.ode.StepSize=StepSize vmm.ode.command.ConnectDotsOnOrbit=Draw Orbit as Solid Line vmm.ode.command.ConnectDotsOnOrbit.short=Connect Dots vmm.ode.command.AnimateDrawing=Animate Drawing of Orbits vmm.ode.command.AnimateDrawing.short=Animate vmm.ode.command.EraseOrbits=Erase All Orbits vmm.ode.command.ShowDirectionField=Show Direction Field vmm.ode.command.ShowProjectedOrbits=Show Projected Orbits vmm.ode.command.ShowControlPanel=Show Control Panel vmm.ode.command.ContinueOrbit=Continue Orbit vmm.ode.command.orbitType.RungeKutta=Runge Kutta vmm.ode.command.orbitType.Euler=Euler vmm.ode.command.orbitType.Both=Show Both vmm.ode.command.StartOrbitAt=Start Orbit At: vmm.ode.error.BadNumberInput=The value entered for {0}\nis not a legal number. vmm.ode.error.BadPositiveNumberInput=The value entered for {0}\nmust be a legal number that\nis greater than zero. vmm.ode.firstorder2D.mouseTaskStatusText=(ALT-click or click with middle mouse button to start an orbit) vmm.ode.firstorder2D.mouseTaskStatusText.mac=(Option-click to input the start point of an orbit) vmm.ode.firstorder1D.Logistic= Logistic vmm.ode.firstorder1D.MassAction = Mass Action vmm.ode.firstorder1D.UserODEFirstOrder1D= User ODE 1D 1st Order vmm.ode.secondorder1D.HarmonicOscillator= Harmonic Oscillator vmm.ode.secondorder1D.Pendulum = Pendulum vmm.ode.secondorder1D.UserODESecondOrder1D= User ODE 1D 2nd Order vmm.ode.firstorder2D.Linear= Linear vmm.ode.firstorder2D.Linear.a= a vmm.ode.firstorder2D.Linear.b= b vmm.ode.firstorder2D.Linear.c= c vmm.ode.firstorder2D.Linear.d= d vmm.ode.firstorder2D.Pendulum=Pendulum vmm.ode.firstorder2D.Pendulum.gravity=Accel. of Gravity vmm.ode.firstorder2D.Pendulum.friction=Coeff. of Friction vmm.ode.firstorder2D.HarmonicOscillator=HarmonicOscillator vmm.ode.firstorder2D.HarmonicOscillator.springConstant= Spring Constant vmm.ode.firstorder2D.HarmonicOscillator.friction= Coeff. of Friction vmm.ode.firstorder2D.Volterra_Lotka = Volterra Lotka Equation vmm.ode.firstorder2D.Volterra_Lotka.a= a vmm.ode.firstorder2D.Volterra_Lotka.b= b vmm.ode.firstorder2D.Volterra_Lotka.c= c vmm.ode.firstorder2D.Volterra_Lotka.d= d vmm.ode.firstorder2D.VanderPol=van der Pol vmm.ode.firstorder2D.VanderPol.resistance=Electrical Resistance vmm.ode.firstorder2D.UserODEFirstOrder2D=User ODE 2D 1stOrder (Autonomous) vmm.ode.firstorder2D.UserODEFirstOrder2DNonAutonomous=User ODE 2D 1stOrder (Non-Autonomous) vmm.ode.secondorder2D.CoupledOscillators=Coupled Oscillators vmm.ode.secondorder2D.CoupledOscillators.ForceConstant=Force Constant vmm.ode.secondorder2D.CoupledOscillators.CouplingConstant=Coupling Constant vmm.ode.secondorder2D.CoupledOscillators.Friction=Friction Coefficient vmm.ode.secondorder2D.mouseTaskStatusText=(To start an orbit, ALT-click-and-drag or drag with middle mouse button) vmm.ode.secondorder2D.mouseTaskStatusText.mac=(Option-click-and-drag to input the start point of an orbit) vmm.ode.secondorder2D.FoucaultPendulum=Foucault Pendulum vmm.ode.secondorder2D.FoucaultPendulum.ForceConstant=Force Constant vmm.ode.secondorder2D.FoucaultPendulum.Rotation.hint=Angular velocity of the "Earth" about its
axis, in radians per unit time. vmm.ode.secondorder2D.FoucaultPendulum.Rotation=Rotation vmm.ode.secondorder2D.FoucaultPendulum.Latitude=Latitude vmm.ode.secondorder2D.FoucaultPendulum.Latitude.hint=The latitude, in degrees,
where the pendulum is located. vmm.ode.secondorder2D.ForcedOscillators=Forced Oscillators vmm.ode.secondorder2D.UserODEF2ndOrder2D=User ODE 2D 2ndOrder (Autonomous) vmm.ode.secondorder2D.UserODEF2ndOrder2DNonAutonomous=User ODE 2D 2ndOrder (Non-Autonomous) vmm.ode.firstorder3D.Linear=Linear vmm.ode.firstorder3D.Lorenz=Lorenz vmm.ode.firstorder3D.Rossler=R\u00F6ssler vmm.ode.firstorder3D.Rikitake=Rikitake vmm.ode.firstorder3D.UserODE1stOrder3D=User ODE 3D 1stOrder (Autonomous) vmm.ode.firstorder3D.UserODE1stOrder3DNonAutonomous=User ODE 3D 2ndOrder (Non-Autonomous) vmm.ode.secondorder3D.CoupledOscillators=Coupled Oscillators vmm.ode.secondOrder3D.CoupledOscillators.ForceX=Force Constant X vmm.ode.secondOrder3D.CoupledOscillators.ForceY=Force Constant Y vmm.ode.secondOrder3D.CoupledOscillators.ForceZ=Force Constant Z vmm.ode.secondOrder3D.CoupledOscillators.CouplingXY=X-Y Coupling vmm.ode.secondOrder3D.CoupledOscillators.CouplingZX=X-Z Coupling vmm.ode.secondOrder3D.CoupledOscillators.CouplingYZ=Y-Z Coupling vmm.ode.secondOrder3D.CoupledOscillators.FrictionX=Friction Coefficient X vmm.ode.secondOrder3D.CoupledOscillators.FrictionY=Friction Coefficient Y vmm.ode.secondOrder3D.CoupledOscillators.FrictionZ=Friction Coefficient Z vmm.ode.secondorder3D.ForcedOscillators=Forced Oscillators vmm.ode.secondOrder3D.ForcedOscillators.ForceX=Force Constant X vmm.ode.secondOrder3D.ForcedOscillators.ForceY=Force Constant Y vmm.ode.secondOrder3D.ForcedOscillators.ForceZ=Force Constant Z vmm.ode.secondOrder3D.ForcedOscillators.ForcingX=Forcing Coefficient X vmm.ode.secondOrder3D.ForcedOscillators.ForcingY=Forcing Coefficient Y vmm.ode.secondOrder3D.ForcedOscillators.ForcingZ=Forcing Coefficient Z vmm.ode.secondOrder3D.ForcedOscillators.FrequencyX=Forcing Frequency X vmm.ode.secondOrder3D.ForcedOscillators.FrequencyY=Forcing Frequency Y vmm.ode.secondOrder3D.ForcedOscillators.FrequencyZ=Forcing Frequency Z vmm.ode.secondorder3D.UserODEF2ndOrder3D=User ODE 3D 2ndOrder (Autonomous) vmm.ode.secondorder3D.UserODE2ndOrder3DNonAutonomous=User ODE 3D 2ndOrder (Non-Autonomous) vmm.ode.secondorder2D.Coulomb=Coulomb vmm.ode.secondorder2D.PowerLaw=Power Law vmm.ode.secondorder2D.Yukawa=Yukawa vmm.ode.secondorder2D.HookesLaw=Hooke's Law vmm.ode.secondorder2D.Higgs=Higgs vmm.ode.secondorder2D.UserCentralForce=User Central Force vmm.ode.secondorder3D.ConstantMagneticField=Constant Magnetic Field vmm.ode.secondorder3D.ToroidalMagneticField=Toroidal Magnetic Field vmm.ode.secondorder3D.MagneticDipole=Magnetic Dipole vmm.ode.secondorder3D.CurrentInStraightWire=Current in Straight Wire vmm.ode.secondorder3D.CurrentInStraightWire.WireDirX=Wire Direction X vmm.ode.secondorder3D.CurrentInStraightWire.WireDirY=Wire Direction Y vmm.ode.secondorder3D.CurrentInStraightWire.WireDirZ=Wire Direction Z vmm.ode.secondorder3D.CurrentInStraightWire.Current=Current vmm.ode.secondorder3D.UserMagneticField=User Magnetic Field vmm.latticemodel.command.Start=Start vmm.latticemodel.command.Restart=Restart vmm.latticemodel.command.Stop=Stop vmm.latticemodel.command.Continue=Continue vmm.latticemodel.command.Step=Step vmm.latticemodel.ShowControlPanel=Show Control Panel vmm.latticemodel.InitialShape=Initial Shape vmm.latticeModel.SinusoidalInitialShape=Sinusoidal vmm.latticeModel.GaussianInitialShape=Gaussian vmm.latticeModel.ThermalInitialShape=Thermal vmm.latticeModel.KinkInitialShape=Kink vmm.latticeModel.BreatherInitialShape=Breather vmm.latticemodel.BoundaryCondition=Boundary Condition vmm.latticeModel.ZeroBoundaryCondition=Zero vmm.latticeModel.PeriodicBoundaryCondition=Periodic vmm.latticemodel.DisplayStyle=Display Style vmm.latticemodel.TransverseDisplay=Transverse Display vmm.latticemodel.LongitudinalDisplay=Longitudinal Display vmm.latticemodel.CircularDisplay=Circular Display vmm.latticemodel.PendulumDisplay=Pendulum Display vmm.latticemodel.BridgeDisplay=Bridge Display vmm.latticemodel.StepSize=StepSize vmm.latticemodel.xScaleFactor=x-ScaleFactor vmm.latticemodel.yScaleFactor=y-ScaleFactor vmm.latticemodel.setParams=Set Params vmm.latticemodel.ShowNormalModeDisplay=Show Normal Mode Display vmm.latticeModel.LatticeLength=Length of Lattice vmm.latticeModel.LatticeDensity=Mass per Unit Length vmm.latticeModel.Amplitude=Amplitude vmm.latticeModel.NumberOfNodes=Number of Nodes vmm.latticeModel.NumberOfNodes.hint=\ This parameter gives the number of nodes, or particles,
\ in the lattice. A larger number of nodes will give a more
\ wave-like appearance. The legal values are 3 through 65,
\ 128, and 256. vmm.latticemodel.LatticeModel.badNumberOfNodes=The number of nodes must either be in the range\n3 through 65, or it must be one of 128 or 256. vmm.latticemodel.InitialMode=Initial Mode vmm.latticeModel.initialMode.First=First vmm.latticeModel.initialMode.Second=Second vmm.latticeModel.initialMode.Fourth=Fourth vmm.latticeModel.initialMode.Eighth=Eighth vmm.latticeModel.initialMode.Sixteenth=Sixteenth vmm.latticemodel.FermiPastaUlam=Fermi-Pasta-Ulam vmm.latticemodel.FermiPastaUlam.FPUGraphDisplay=FPU Graph Display vmm.latticeModel.FermiPastaUlam.a = Spring Constant vmm.latticeModel.FermiPastaUlam.b = b vmm.latticeModel.FermiPastaUlam.c = c vmm.latticeModel.FermiPastaUlam.d = d vmm.latticemodel.Toda=Toda vmm.latticeModel.Toda.a = a vmm.latticeModel.Toda.b = b