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 kJ kg / 2690.2597 <content> <p>Draw-Descriptions (Maxima)</p> </content> <content> <p>Draw-Descriptions (Maxima)</p> </content>

dOptionen

Options

[Maxima Draw] adapt_depth (=10): maximale Teilungstiefe der adaptive Kurvenabtastung.

[Maxima Draw] adapt_depth (=10): maximum number of adaptive interval splits when drawing curves.

 addapt_depth adapt_depth :

[Maxima Draw3D] axis_3d (=true): Achsen zeichnen, false: keine Achsen zeichnen. Globale Option.

[Maxima Draw3D] axis_3d (=true): draw axes, false: don't draw axes. Global option.

 axis_3d axis_3d :

[Maxima Draw2D] axis_bottom (=true): untere Achse zeichnen, false: Achse nicht zeichnen. Globale Option.

[Maxima Draw2D] axis_bottom (=true): draw bottom axis, false: don't draw axis. Global option.

 axis_bottom axis_bottom :

[Maxima Draw2D] axis_top (=true): obere Achse zeichnen, false: Achse nicht zeichnen. Globale Option.

[Maxima Draw2D] axis_top (=true): draw top axis, false: don't draw axis. Global option.

 axis_top axis_top :

[Maxima Draw2D] axis_left (=true): linke Achse zeichnen, false: Achse nicht zeichnen. Globale Option.

[Maxima Draw2D] axis_left (=true): draw left axis, false: don't draw axis. Global option.

 axis_left axis_left :

[Maxima Draw2D] axis_right (=true): rechte Achse zeichnen, false: Achse nicht zeichnen. Globale Option.

[Maxima Draw2D] axis_right (=true): draw right axis, false: don't draw axis. Global option.

 axis_right axis_right :

[Maxima Draw] background_color (=white): Hintergrundfarbe des Diagramms. Globale Option.

[Maxima Draw] background_color (=white): background color of the plot. Global option.

 background_color background_color :

[Maxima Draw] border (=true): Ränder von polygon(), ellipse(), quadrilateral(), triangle() oder rectangle() zeichnen.

[Maxima Draw] border (=true): draw borders of polygon(), ellipse(), quadrilateral(), triangle() or rectangle()objects.

 border border :

[Maxima Draw3D] capping(=false): Endflächen an tube()-Objekten, false, true oder Liste mit zwei Werten.

[Maxima Draw3D] capping (=false): indicates if extremes of the tube object remain open (false) or
are closed (true). If only one end is to be closed, provide a list with two entries.

 capping capping :

[Maxima Draw] cbrange (=auto): Farbbereich Liste [min,max]. Globale Option.

[Maxima Draw] cbrange (=auto): color bar range, list [min,max]. Global option.

 cbrange cbrange :

[Maxima Draw] cbtics (=auto): Marken an der Farblegende. Globale Option.

[Maxima Draw] cbtics (=auto): color bar tick marks. Global option.

 cbtics cbtics :

[Maxima Draw] color (=blue): Farbe für Linien, Punkte, Kanten und Text, als Namen oder hexadezimal in der Form RGB "#rrggbb" oder RGBA "#rrggbbaa". A steht für Transparenz.

[Maxima Draw] color (=blue): color for lines, points, borders and text, given as name, as RGB "#rrggbb" or as RGBA "#rrggbbaa" with A (alpha) being transparency.

color color :

[Maxima Draw] colorbox (=true): Farblegende ohne Beschriftung zeichnen, false: keine Farblegende zeichnen, text: Farblegende mit text als Beschriftung zeichnen. Globale Option.

[Maxima Draw] colorbox (=true): draw color scale without label, false: no colorbar, string: draw colorbar with string as label. Global option.

 colorbox colorbox :

[Maxima Draw3D] contour (=none): Art der Höhenlinien. none: keine, base: auf der xy-Ebene, surface: auf der 3D-Fläche, both: auf xy-Ebene und Fläche, map: auf xy-Ebene und Blickrichtung senkrecht. Globale Option.

[Maxima Draw3D] contour (=none): contour lines. none: no contours, base: on xy plane, surface: on 3D surface, both: on xy plane and surface, map: on xy plane plus vertical view. Global option. See also contour_levels.

 contour contour :

[Maxima Draw3D] contour_levels (=5): Werte für die Höhenlinien. Anzahl oder Liste [min, Δ, max], oder set(L1, L2,...) mit Werten. Globale Option.

[Maxima Draw3D] contour_levels (=5): contour levels. number oder list [min, Δ, max], or set(L1, L2,...) of values. Global option.

 contour_levels contour_levels :

[Maxima Draw] data_file_name (="data.gnuplot"): Kurvendaten für Gnuplot

[Maxima Draw] data_file_name (="data.gnuplot"): internal data file name for gnuplot

 data_file_name data_file_name :

[Maxima Draw] delay (=5) Zeitschritt in animierten gif-Dateien. Nur für originale Maxima(draw2d/3d). Globale Option.

[Maxima Draw] delay (=5): time step in animted gif files. Applies only for native Maxima(draw2d/3d). Global option.

 delay delay :

[Maxima Draw] dimensions (= 600 x 500): Liste [Breite,Höhe]. Nur für originale Maxima(draw2d/3d). Globale Option.

[Maxima Draw] dimensions (= 600 x 50:0): list [width, height]. Applies only for native Maxima(draw2d/3d). Global option.

dimensions dimensions :

[Maxima Draw] draw_realpart (=true) Realteil zur Darstellung komplexer Werte verwenden.

[Maxima Draw] draw_realpart (=true) use real part for plotting complex values.

 draw_realpart draw_realpart :

[Maxima Draw] enhanced3d (=none) Farbpalette, none: 3D Flächen als Gitter zeichnen (Steuerung mit color und surface_hide), true: Farbe anhand des z-Werts, Liste [f(x,y,z), x, y, z]: Farbe anhand der Funktion f, Liste [f(u,v),u,v]: Farbe anhand der Flächenparameter oder Liste [f(k), k ]: Farbe anhand der Punktnummer in points() Objekten.

[Maxima Draw3D] enhanced3d (=true) coloring of surfaces by z-value, (control using color und surface_hide), false: draw 3D surfaces as grid, or list [f(x,y,z), x, y, z]: coloring according to function f or list [f(u,v),u,v] or list [f(k), k ] (k being the point counter in points() objects).

 enhanced3d enhanced3d :

[Maxima Draw2D] error_type (=y) Art der Fehlerbalken in errors(): x, y, xy oder boxes.

[Maxima Draw2D] error_type (=y) type of error bars in errors(): x, y, xy or boxes.

 error_type error_type :

[Maxima Draw] file_name (="maxima_out") Grafik-Ausgabedatei, Endung wird gemäß Ausgabeformat ergänzt. Globale Option.

[Maxima Draw] file_name (="maxima_out") output file, extension is set according to format. Global option. Only for experts.

 file_name file_name :

[Maxima Draw2D] fill_color (=red) Füllfarbe für Objekte polygon() und explicit().

[Maxima Draw2D] fill_color (=red) fill color for polygons and explicit functions y(x).

 fill_color fill_color :

[Maxima Draw] fill_density (=0) Deckungsgrad der Füllfarbe in bars()-Objekten, zwischen 0 und 1. Für andere Objekte benutzen Sie option color mit der Transparenz aa in "rrggbbaa".

[Maxima Draw] fill_density (=0) opacity of the fill color in bars()-objects, 0..1. For other objects use option color with transparency aa in "#rrggbbaa".

 fill_density fill_density :

[Maxima Draw2D] filled_func (=false): explizite Funktionen y(x) werden nicht gefüllt, true: Füllung bis zur Unterkante des Diagramms, g(x): Füllung zwischen g(x) und y(x).

[Maxima Draw2D] filled_func (=false): don't fill explicit functions y(x), true: fill between the next explicit() object and the bottom border of the diagram, g(x): fill between g(x) and the next explicit() object.

 filled_func filled_func :

[Maxima Draw] gnuplot_file_name (="maxout.gnuplot"): Kommandodatei für Gnuplot. Gobale Option nur für Experten.

[Maxima Draw] gnuplot_file_name (="maxout.gnuplot"): name of the temporary gnuplot command file. Global option. Only for experts.

 gnuplot_file_name gnuplot_file_name :

[Maxima Draw] gnuplot_term (): Ausgabe-Format-Spezifikation (Text nach "set terminal"). Gobale Option nur für Experten.

[Maxima Draw] gnuplot_term (): gnuplot terminal options (arguments of "set terminal"). Global option. Only for experts. Use name argument of Draw2D() or Draw3D for format specification.

 gnuplot_term gnuplot_term :

[Maxima Draw] gnuplot_out_file (=maxplot.xxx) Ausgabedateiname (xxx abhängig vom Format). Gobale Option nur für Experten.

[Maxima Draw] gnuplot_out_file (=maxplot.xxx) output file name (xxx depends on terminal). Global option. Only for experts.

 gnuplot_out_file gnuplot_out_file :

[Maxima Draw] grid (=true): Gitterraster zeichnen, false: kein Gitter zeichnen. Global option.

[Maxima Draw] grid (=true): draw xy grid, false: don't draw grid. Global option.

 grid grid :

[Maxima Draw] head_angle (=45) Pfeilwinkel an vector()-Objekten (halber Öffnungswinkel in °)

[Maxima Draw] head_angle (=45): head angle of vector()-objects (angle between border and vector
direction in °)

 head_angle head_angle :

[Maxima Draw] head_both (=false) oder true: ob bei vector()-Objekten zwei Pfeilspitzen gezeichnet werden.

[Maxima Draw] head_both (=false): don't draw a second head of vector() objects,
true: draw a second head.

 head_both head_both :

[Maxima Draw] head_length (=2) Länge der Pfeilspitze bei vector()-Objekten in Einheiten der x-Achse.

[Maxima Draw] head_length (=2): head length of vector() objects in units of the x-axis.

 head_length head_length :

[Maxima Draw] head_type (=filled) Spitzenform bei vector()-Objekten: filled, empty oder nonfilled.

[Maxima Draw] head_type (=filled) head type of vector() objects: filled ▲, empty ∆ or nofilled Λ.

 head_type head_type :

[Maxima Draw] interpolate_color (=false) Farbglättung auf Facetten. true: Optimale Glättung, Liste [n, m] Zahl der Unterteilung. false: Einheitliche Farbe.

[Maxima Draw] interpolate_color (=false) color smoothing on facets. true: optimal smoothing, list [n, m] number of subdivisions. false: homogeneous color.

 interpolate_color interpolate_color :

[Maxima Draw] ip_grid (=Liste [50, 50] ): Primäres Gitter für die Darstellung impliziter Funktionen, als Liste angeben.

[Maxima Draw] ip_grid (= list[50, 50] ): primary grid for sampling of implicit functions, two-element list.

 ip_grid ip_grid :

[Maxima Draw3D] ip_grid_in (= Liste [5, 5] ): Sekundäres Gitter für die Darstellung impliziter Funktionen.

[Maxima Draw3D] ip_grid_in (= list [5, 5] ): secondary grid for sampling of implicit functions.

 ip_grid_in ip_grid_in :

[Maxima Draw] key (=""): Legendeneintrag für das nachfolgende Grafikobjekt.

[Maxima Draw] key (=""): legend key for subsequent graphics object.

 key key :

[Maxima Draw] key_pos (="", entspricht top_right): Legendenposition. Gültige Werte: top_left, top_center, top_right, center_left, center, center_right, bottom_left, bottom_center, bottom_right. Globale Option.

[Maxima Draw] key_pos (="", equivalent to top_right): position of the legend. Valid options: top_left, top_center, top_right, center_left, center, center_right, bottom_left, bottom_center, bottom_right. Global option

 key_pos key_pos :

[Maxima Draw] label_alignment (=center), left oder right: horizontale Ausrichtung von Beschriftungen.

[Maxima Draw] label_alignment (=center), left or right: alignment of text labels.

 label_alignment label_alignment :

[Maxima Draw] label_orientation (=horizontal) oder vertical: Ausrichtung von Texten.

[Maxima Draw] label_orientation (=horizontal) or vertical: orientation of text labels.

 label_orientation label_orientation :

[Maxima Draw] line_type (=solid) Linienart. Alternativen: dots (für alle Formate) oder wenn von Gnuplot unterstützt: dashes, short_dashes, short_long_dashes, short_short_long_dashes.

[Maxima Draw] line_type (=solid) line type. Other options: dots (for all formats) or if supported by Gnuplot: dashes, short_dashes, short_long_dashes, short_short_long_dashes.

line_type line_type :

[Maxima Draw] line_width (=1) Linienstärke, >0.

[Maxima Draw] line_width (=1) line width, >0.

line_width line_width :

[Maxima Draw] logcb (=false) oder true: logarithmische Farbskale. Globale Option.

[Maxima Draw] logcb (=false) or true: log scale of the colorbar. Global option.

 logcb logcb :

[Maxima Draw] logx (=false) oder true: logarithmische x-Achse. Globale Option.

[Maxima Draw] logx (=false) or true: log scale of x-axis. Global option.

 logx logx :

[Maxima Draw2D] logx_secondary (=false) oder true: logarithmische zweite x-Achse. Globale Option.

[Maxima Draw2D] logx_secondary (=false) or true: log scale of secondary x-axis. Global option.

 logx_secondary logx_secondary :

[Maxima Draw] logy (=false) oder true: logarithmische y-Achse. Globale Option.

[Maxima Draw] logy (=false) or true: log scale of y-axis. Global option.

 logy logy :

[Maxima Draw2D] logy_secondary (=false) oder true: logarithmische zweite y-Achse. Globale Option.

[Maxima Draw2D] logy_secondary (=false) or true: log scale of secondary y-axis. Global option.

 logy_secondary logy_secondary :

[Maxima Draw] logz (=false) oder true: logarithmische z-Achse. Globale Option.

[Maxima Draw] logz (=false) or true: log scale of z-axis. Global option.

 logz logz :

[Maxima Draw] nticks (=29): Punktezahl für die Kurvenabtastung

[Maxima Draw] nticks (=29): number of points for curve sampling (explicit and parametric)

 nticks nticks :

[Maxima Draw] palette (=color) Standard-Farbpalette, gray: Graustufen, Liste [Farbe1, Farbe2...]: Interpolation über die gegebenen Farben. Globale Option.

[Maxima Draw] palette (=color) default color palette, gray: gray levels, or list [color1, color2...]: interpolation over the given set of colors. Global option.

palette palette :

[Maxima Draw] point_size (=1) Größe von points()-Symbolen.

[Maxima Draw] point_size (=1) size of points()-symbols.

 point_size point_size :

[Maxima Draw] point_type (=1) Symbol für points()-Objekte, Name oder Kennzahl: none -1, dot 0, plus 1, multiply 2, asterisk 3, square 4, filled_square 5, circle 6, filled_circle 7, up_triangle 8, filled_up_triangle 9, down_triangle 10, filled_dwn_triangle 11, diamant 12, filled_diamant 13

[Maxima Draw] point_type (=1) type of points() objects, name or key number: none -1, dot 0, plus 1, multiply 2, asterisk 3, square 4, filled_square 5, circle 6, filled_circle 7, up_triangle 8, filled_up_triangle 9, down_triangle 10, filled_down_triangle 11, diamant 12, filled_diamant 13

 point_type point_type :

[Maxima Draw] points_joined (=false), true oder impulses: Verbindungsart von points()-Objekten

[Maxima Draw] points_joined (=false), true or impulses: how to join points

 points_joined points_joined :

[Maxima Draw] proportional_axes (=none), xy oder xyz: Achsen mit gleicher Skalierung). Globale Option.

[Maxima Draw] proportional_axes (=none), xy or xyz: set axes of equal scaling). Global option.

 proportional_axes proportional_axes :

[Maxima Draw3D] surface_hide (=false) oder true: Ausblendung verdeckter Flächen bei Linienrasterdarstellung. Nur relevant wenn enhanced3D=false.

[Maxima Draw3D] surface_hide (=false) or true: handling of hidden lines in surface grids. Only relevant if enhanced2d=false.

 surface_hide surface_hide :

[Maxima Draw] terminal (=screen) Ausgabeart. screen: Separates Ausgabefenster, png, jpg, gif, eps, svg, pdf, animated_gif: Gnuplot Ausgabeformat. Globale Option. Nur für Experten. Nutzen Sie das Name-Argument von Draw2D()/3D().

[Maxima Draw] terminal (=screen) separate interactive terminal window, png, jpg, gif, eps, svg, pdf, animated_gif: gnuplot output format. Global option. Only for experts. Use name argument of Draw2D/3D instead.

 terminal terminal :

[Maxima Draw] title (="") Überschrift für das Diagramm. Globale Option.

[Maxima Draw] title (="") headline for the plot. Global option

 title title :

[Maxima Draw] transform (=none) Koordinatentransformation, für 2D als Liste [f1(x,y), f2(x,y), x, y], für 3D als Liste [f1(x,y), f2(x,y), f3(x, y, z), x, y, z]

[Maxima Draw] transform (=none) co-ordinate transformation, for 2D as list [f1(x,y), f2(x,y), x, y], for 3D as list [f1(x,y), f2(x,y), f3(x, y, z), x, y, z]

 transform transform :

[Maxima Draw] transparent (=false) oder true: ob Rechtecke, Polygone oder Ellipsen transparent sein sollen (bei false werden sie gefüllt). Für echte Transparenz nutzen Sie die Option color mit dem Transparenzwert aa der RGBA Farbspezifikation "#rrggbbaa".

[Maxima Draw] transparent (=false) fill objects with border, true: don't fill (make them transparent). For actual transparency use RGBA color "rrggbbaa" with the color option.

 transparent transparent :

[Maxima Draw] unit_vectors (=false) oder true: Vektoren in originaler Länge oder als Einheitsvektoren zeichnen.

[Maxima Draw] unit_vectors (=false) draw vectors in original length, true: draw unit vectors.

 unit_vectors unit_vectors :

[Maxima Draw] user_preamble (="") Zeichenkette oder Liste von Zeichenketten, die unmittelbar vor dem eigentlichen Diagrammbefehl an Gnuplot übergeben werden. Globale Option.

[Maxima Draw] user_preamble (="") string or list of strings, gnuplot commands placed immediately before the plot commands. Global option

 user_preamble user_preamble :

[Maxima Draw] view (=(60,30)) Blickrichtung (Zenithwinkel von z aus, Azimutwinkel von x aus). Globale Option.

[Maxima Draw] view (=(60,30)) view direction (zenith angle from z, azimut angle from x). Global option.

 view view :

[Maxima Draw] wired_surface (=false) oder true: Gitternetz auf eingefärbten Flächen anzeigen oder nicht. Globale Option.

[Maxima Draw] wired_surface (=false) no grid on colored surfaces, true: draw grid on surfaces. No color control. Global option.

 wired_surface wired_surface :

[Maxima Draw3D] x_voxel (=10) x-Bereichsteilung für den Marching-Cubes-Algorithmus bei implizit gegebenen Flächen.

[Maxima Draw3D] x_voxel (=10) number of x steps for the Marching Cubes algorithm (for implicit 3D functions). Also used for region().

 x_voxel x_voxel :

[Maxima Draw3D] y_voxel (=10) y-Bereichsteilung für den Marching-Cubes-Algorithmus bei implizit gegebenen Flächen.

[Maxima Draw3D] y_voxel (=10) number of y steps for the Marching Cube algorithm (for implicit 3D functions). Also used for region().

 y_voxel y_voxel :

[Maxima Draw3D] z_voxel (=10) z-Bereichsteilung für den Marching-Cubes-Algorithmus bei implizit gegebenen Flächen.

[Maxima Draw3D] z_voxel (=10) number of z steps for the Marching Cube algorithm (for implicit 3D functions).

z_voxel z_voxel :

[Maxima Draw] xaxis (=false) oder true: Anzeige der x-Achse. Globale Option.

[Maxima Draw] xaxis (=true): draw x-axis. false: don't draw x-axis. Global option

 xaxis xaxis :

[Maxima Draw] yaxis (=false) oder true: Anzeige der y-Achse. Globale Option.

[Maxima Draw] yaxis (=true): draw y-axis. false: don't draw y-axis. Global option

 yaxis yaxis :

[Maxima Draw3D] zaxis (=false) oder true: Anzeige der z-Achse. Globale Option.

[Maxima Draw3D] zaxis (=true): draw x-axis. false: don't draw x-axis. Global option.

 zaxis zaxis :

[Maxima Draw] xaxis_color (=black) Farbe x-Achse. Globale Option.

[Maxima Draw] xaxis_color (=black) color of the x-axis. Global option.

 xaxis_color xaxis_color :

[Maxima Draw] yaxis_color (=black) Farbe y-Achse. Globale Option.

[Maxima Draw] yaxis_color (=black) color of the y-axis. Global option.

 yaxis_color yaxis_color :

[Maxima Draw3D] zaxis_color (=black) Farbe z-Achse. Globale Option.

[Maxima Draw3D] zaxis_color (=black) color of the z-axis. Global option

 zaxis_color zaxis_color :

[Maxima Draw2D] xaxis_secondary (=false) oder true: Nutzung einer zweiten x-Achse (oben) für die nachfolgenden Objekte.

[Maxima Draw2D] xaxis_secondary (=false) or true: use the secondary x-axis (top) for subsequent objects.

 xaxis_secondary xaxis_secondary :

[Maxima Draw2D] yaxis_secondary (=false) oder true: Nutzung einer zweiten y-Achse (rechts) für die nachfolgenden Objekte

[Maxima Draw2D] yaxis_secondary (=false) or true: use the secondary y-axis (right) for subsequent objects

 yaxis_secondary yaxis_secondary :

[Maxima Draw] xaxis_type (=dots) oder solid: Linienart der x-Achse. Globale Option.

[Maxima Draw] xaxis_type (=solid) or dots. Global option.

 xaxis_type xaxis_type :

[Maxima Draw] yaxis_type (=dots) oder solid: Linienart der y-Achse. Globale Option.

[Maxima Draw] yaxis_type (=solid) or dots. Global option.

 yaxis_type yaxis_type :

[Maxima Draw3D] zaxis_type (=dots) oder solid: Linienart der z-Achse. Globale Option.

[Maxima Draw3D] zaxis_type (=solid) or dots. Global option.

 zaxis_type zaxis_type :

[Maxima Draw] xaxis_width (=1) Linienbreite der x-Achse. Globale Option.

[Maxima Draw] xaxis_width (=1). Global option

 xaxis_width xaxis_width :

[Maxima Draw] yaxis_width (=1) Linienbreite der y-Achse. Globale Option.

[Maxima Draw] yaxis_width (=1). Global option

 yaxis_width yaxis_width :

[Maxima Draw3D] zaxis_width (=1) Linienbreite der z-Achse. Globale Option.

[Maxima Draw3D] zaxis_width (=1). Global option.

 zaxis_width zaxis_width :

[Maxima Draw] xlabel (="") x-Achsenbeschriftung. Globale Option.

[Maxima Draw] xlabel (="") label of the x-axis. Global option

 xlabel xlabel :

[Maxima Draw] ylabel(="") y-Achsenbeschriftung. Globale Option.

[Maxima Draw] ylabel (="") label of the y-axis. Global option

 ylabel ylabel :

[Maxima Draw] zlabel (="") z-Achsenbeschriftung. Globale Option.

[Maxima Draw] zlabel (="") label of the z-axis. Global option

 zlabel zlabel :

[Maxima Draw] xlabel_secondary (="") Beschriftung der zweiten x-Achse. Globale Option.

[Maxima Draw] xlabel_secondary (="") label of the secondary x-axis. Global option

 xlabel_secondary xlabel_secondary :

[Maxima Draw] ylabel_secondary (="") Beschriftung der zweiten y-Achse. Globale Option.

[Maxima Draw] ylabel_secondary (="") label of the secondary y-axis. Global option

 ylabel_secondary ylabel_secondary :

[Maxima Draw] xrange (=auto) oder Liste [min,max]: x-Achsenbereich. Globale Option.

[Maxima Draw] xrange (=auto) or list [min,max]: range of the x-axis. Global option

 xrange xrange :

[Maxima Draw] yrange (=auto) oder Liste [min,max]: y-Achsenbereich. Globale Option.

[Maxima Draw] yrange (=auto) or list [min,max]: range of the y-axis. Global option

 yrange yrange :

[Maxima Draw] zrange (=auto) oder Liste [min,max]: z-Achsenbereich. Globale Option.

[Maxima Draw] zrange (=auto) or list [min,max]: range of the z-axis. Global option.

 zrange zrange :

[Maxima Draw] xrange_secondary (=auto) oder Liste [min,max]: Bereich der zweiten (oberen) x-Achse. Globale Option.

[Maxima Draw] xrange_secondary (=auto) or list [min,max]: range of the secondary (top) x-axis. Global option.

 xrange_secondary xrange_secondary :

[Maxima Draw] yrange_secondary (=auto) oder Liste [min,max]: Bereich der zweiten (rechten) y-Achse. Globale Option.

[Maxima Draw] yrange_secondary (=auto) or list [min,max]: range of the secondary (right) y-axis. Global option.

 yrange_secondary yrange_secondary :

[Maxima Draw] xtics (=auto): automatische x-Achsmarken, none: keine, Zahl: Schrittweite, Liste mit [min, Schritt, max], oder set() von Zahlen: explizite Vorgabe der Zahlenwerte, oder set() von Listen ["text",pos] mit Vorgabe von Beschriftung und Position. Globale Option.

[Maxima Draw] xtics (=auto): automatic x ticks, none: no x ticks, number: tick interval, list of [min, step, max], or set() of numbers: explicit tick values, or set() of lists ["text",pos] for spec of position and text. Global option

 xtics xtics :

[Maxima Draw] ytics (=auto): automatische y-Achsmarken, none: keine, Zahl: Schrittweite, Liste mit [min, Schritt, max], oder set() von Zahlen: explizite Vorgabe der Zahlenwerte, oder set() von Listen ["text",pos] mit Vorgabe von Beschriftung und Position. Globale Option.

[Maxima Draw] ytics (=auto): automatic y ticks, none: no y ticks, number: tick interval, list of [min, step, max], or set() of numbers: explicit tick values, or set() of lists ["text",pos] for spec of position and text. Global option.

ytics ytics :

[Maxima Draw] ztics (=auto): automatische z-Achsmarken, none: keine, Zahl: Schrittweite, Liste mit [min, Schritt, max], oder set() von Zahlen: explizite Vorgabe der Zahlenwerte, oder set() von Listen ["text",pos] mit Vorgabe von Beschriftung und Position. Globale Option.

[Maxima Draw] ztics (=auto): automatic z ticks, none: no x ticks, number: tick interval, list of [min, step, max], or set() of numbers: explicit tick values, or set() of lists ["text",pos] for spec of position and text. Global option.

 ztics ztics :

[Maxima Draw] xtics_secondary (=auto): automatische Marken an der sekundären (oberen) x-Achse, none: keine, Zahl: Schrittweite, Liste mit [min, Schritt, max], oder set() von Zahlen: explizite Vorgabe der Zahlenwerte, oder set() von Listen ["text",pos] mit Vorgabe von Beschriftung und Position. Globale Option.

[Maxima Draw] xtics_secondary (=auto): automatic ticks on the secondary (top) x-axis, none: no ticks, number: tick interval, list of [min, step, max], or set() of numbers: explicit tick values, or set() of lists ["text",pos] for spec of position and text. Global option.

 xtics_secondary xtics_secondary :

[Maxima Draw] ytics_secondary (=auto): automatische Marken an der sekundären (rechten) y-Achse, none: keine, Zahl: Schrittweite, Liste mit [min, Schritt, max], oder set() von Zahlen: explizite Vorgabe der Zahlenwerte, oder set() von Listen ["text",pos] mit Vorgabe von Beschriftung und Position. Globale Option.

[Maxima Draw] ytics_secondary (=auto): automatic ticks on the secondary (right) y-axis, none: no ticks, number: tick interval, list of [min, step, max], or set() of numbers: explicit tick values, or set() of lists ["text",pos] for spec of position and text. Global option.

 ytics_secondary ytics_secondary :

[Maxima Draw] xtics_axis (=false): x-Achsmarken am Rand, true: an der Achse. Globale Option.

[Maxima Draw] xtics_axis (=false): ticks on the boundary, true: ticks on the axis. Global option.

 xtics_axis xtics_axis :

[Maxima Draw] ytics_axis (=false): y-Achsmarken am Rand, true: an der Achse. Globale Option.

[Maxima Draw] ytics_axis (=false): ticks on the boundary, true: ticks on the axis. Global option.

 ytics_axis ytics_axis :

[Maxima Draw] ztics_axis (=false): z-Achsmarken am Rand, true: an der Achse. Globale Option.

[Maxima Draw] ztics_axis (=false): ticks on the boundary, true: ticks on the axis. Global option.

 ztics_axis ztics_axis :

[Maxima Draw] xtics_secondary_axis (=false): Marken an der sekundaren (oberen) x-Achse am Rand, true: an der Achse. Globale Option.

[Maxima Draw] xtics_secondary_axis (=false): ticks on the secondary (top) boundary, true: ticks on the axis. Global option.

 xtics_secondary_axis xtics_secondary_axis :

[Maxima Draw] ytics_secondary_axis (=false): Marken an der sekundaren (rechten) y-Achse am Rand, true: an der Achse. Globale Option.

[Maxima Draw] ytics_secondary_axis (=false): ticks on the secondary (right) boundary, true: ticks on the axis. Global option.

 ytics_secondary_axis ytics_secondary_axis :

[Maxima Draw] xtics_rotate (=false): x-Achsmarken nicht drehen, true: um 90° drehen. Globale Option.

[Maxima Draw] xtics_rotate (=false): horizontal tick labels, true: vertical tick labels. Global option.

 xtics_rotate xtics_rotate :

[Maxima Draw] ytics_rotate (=false): y-Achsmarken nicht drehen, true: um 90° drehen. Globale Option.

[Maxima Draw] ytics_rotate (=false): horizontal tick labels, true: vertical tick labels. Global option.

 ytics_rotate ytics_rotate :

[Maxima Draw] ztics_rotate (=false): z-Achsmarken nicht drehen, true: um 90° drehen. Globale Option.

[Maxima Draw] ztics_rotate (=false): horizontal tick labels, true: vertical tick labels. Global option.

 ztics_rotate ztics_rotate :

[Maxima Draw] xtics_rotate_secondary (=false): Marken an der sekundären (oberen) x-Achse nicht drehen, true: um 90° drehen. Globale Option.

[Maxima Draw] xtics_rotate_secondary (=false): don't rotate ticks of the secondary (top) x-axis, true: rotate by 90°. Global option.

 xtics_rotate_secondary xtics_rotate_secondary :

[Maxima Draw] ytics_rotate_secondary (=false): Marken an der sekundären (rechten) y-Achse nicht drehen, true: um 90° drehen. Globale Option.

[Maxima Draw] ytics_rotate_secondary (=false): don't rotate ticks of the secondary (right) y-axis, true: rotate by 90°. Global option

 ytics_rotate_secondary ytics_rotate_secondary :

[Maxima Draw] xu_grid (=30) Abtastpunkte in x- oder u-Richtung

[Maxima Draw] xu_grid (=30) sampling points in x- or u-direction

xu_grid xu_grid :

[Maxima Draw] yv_grid (=30) Abtastpunkte in y- oder v-Richtung

[Maxima Draw] yv_grid (=30) sampling points in y- or v-direction

yv_grid yv_grid :

[Maxima Draw3D] xyplane (=false): xy-Koordinatenebene automatisch anordnen, Zahl: z-Koordinate. Globale Option.

[Maxima Draw3D] xyplane (=false): automatic allocation of the xy-plane, real number: xy-plane intersects the z-axis at this level. Global option.

 xyplane xyplane :

Objekte

[Maxima Draw2D] bars(b1,b2...) Säulendiagramm, Säulen gegeben durch Listen (x,h,w). Optionen: key, color, fill_color, fill_density und line_width.

[Maxima Draw2D] bars(b1,b2...) vertical bars, given as lists [x,h,w]. Options: key, color, fill_color, fill_density and line_width.

 _ bars _ bars :

[Maxima Draw3D] elevation_grid(Matrix,x0,y0,w,h) Stellt eine Matrix in 3D dar. M_11 bei x=x0,y=y0+h, M_mn bei x=x0+w,y=y0. Optionen: xu_grid, yv_grid, line_type, key, wired_surface, enhanced3d und color

[Maxima Draw3D] elevation_grid(matrix,x0,y0,w,h) Draws a m x n-matrix in 3D. M_11 at x=x0,y=y0+h, M_mn at x=x0+w,y=y0. Options: xu_grid, yv_grid, line_type, key, wired_surface, enhanced3d and color

 _1 _2 _3 _4 _5 elevation_grid _1 _2 _3 _4 _5 elevation_grid :

[Maxima Draw3D] elevation_grid(Matrix,x0,y0,w,h) Stellt eine Matrix in 3D dar. M_11 bei x=x0,y=y0+h, M_mn bei x=x0+w,y=y0. Optionen: xu_grid, yv_grid, line_type, key, wired_surface, enhanced3d and color

[Maxima Draw3D] cylindrical(r(φ,z),z,zmin,zmax,φ,φmin,φmax) Draws a function in cylindrical coordinates. Options: xu_grid, yv_grid, line_type, key, wired_surface, enhanced3d and color.

 _1 _2 _3 _4 _5 _6 _7 cylindrical _1 _2 _3 _4 _5 _6 _7 cylindrical :

[Maxima Draw2D] ellipse(xc,yc,a,b,φ1,φ2) Ellipse, zentriert bei xc, yc mit den Halbachsen a und b, von Startwinkel φ1 und Winkelbreite dφ. In Maxima 5.47 wird die Breite doppelt gezählt. Optionen nticks, transparent, fill_color, border, line_width, line_type, key und color.

[Maxima Draw2D] ellipse(xc,yc,a,b,φ1,dφ) plots an ellipse centered at [xc, yc] with horizontal and vertical semi axis a and b, respectively, starting at φ1 with an amplitude dφ. Note that in Maxima 5.47 the amplitude is doubled. Options: nticks, transparent, fill_color, border, line_width, line_type, key and color.

#1 #2 #3 #4 #5 #6 ellipse #1 #2 #3 #4 #5 #6 ellipse :

[Maxima Draw2D] errors(e1,e2...) Punkte mit Fehlerbalken, horizontal, vertical oder beide, abhängig von der Option error_type. Argumente für error_type = x: Listen [x, y, xdelta] oder [x, y, xlow, xhigh]. Argumente für error_type = y; Listen [x, y, ydelta] oder [x, y, ylow, yhigh]. Argumente für error_type = xy oder error_type = boxes: Listen [x, y, xdelta, ydelta] oder [x, y, xlow, xhigh, ylow, yhigh]. Optionen: error_type, points_joined, line_width, key, line_type, color, fill_density, xaxis_secondary, and yaxis_secondary

[Maxima Draw2D] errors(e1,e2...) Draws points with error bars, horizontally, vertically or both, depending on the value of option error_type. If error_type = x, arguments are lists [x, y, xdelta] or [x, y, xlow, xhigh]. If error_type = y, arguments are lists [x, y, ydelta] or [x, y, ylow, yhigh]. If error_type = xy or error_type = boxes, arguments are lists [x, y, xdelta, ydelta] or [x, y, xlow, xhigh, ylow, yhigh]. Options: error_type, points_joined, line_width, key, line_type, color, fill_density

 _ errors _ errors :

[Maxima Draw2D] explicit(f,x,xmin,xmax) zeichnet eine Funktion f von x von xmin bis xmax. Optionen: nticks, adapt_depth, draw_realpart, line_width, line_type, key, filled_func, fill_color und color

[Maxima Draw2D] explicit(f,x,xmin,xmax) plots explicit function f, with variable x taking values from xmin to xmax. Options: nticks, adapt_depth, draw_realpart, line_width, line_type, key, filled_func, fill_color and color

 _1 _2 _3 _4 explicit _1 _2 _3 _4 explicit :

[Maxima Draw3D] explicit(f,x,xmin,xmax,y,ymin,ymax) zeichnet eine Funktion f von x und y im Bereich xmin bis xmax und ymin bis ymax Optionen: draw_realpart, xu_grid, yv_grid, line_type, line_width, key, wired_surface, enhanced3d und color.

[Maxima Draw3D] explicit(f,x,xmin,xmax,y,ymin,ymax) plots the explicit function f, with variable x taking values from xmin to xmax and variable y taking values from ymin to ymax. Options: draw_realpart, xu_grid, yv_grid, line_type, line_width, key, wired_surface, enhanced3d, and color.

#1 #2 #3 #4 #5 #6 #7 explicit #1 #2 #3 #4 #5 #6 #7 explicit :

[Maxima Draw2D] image(Matrix,x0,y0,w,h) Farbdarstellung einer m x n Matrix entsprechend der Option palette im Gebiet (x0,y0) bis (x0+w,y0+h)

[Maxima Draw2D] image(matrix,x0,y0,w,h) plots matrix in the rectangular region from vertex (x0,y0) to (x0+w,y0+h) according to global option palette.

 #1 #2 #3 #4 #5 image #1 #2 #3 #4 #5 image :

[Maxima Draw2D] implicit(f,x,xmin,xmax,y,ymin,ymax) 2D Darstellung einer implizit gegebenen Funktion im angegebenen Variablenbereich (marching squares Algorithmus). Optionen: ip_grid, ip_grid_in, line_width, line_type, key, color

[Maxima Draw2D] implicit(f,x,xmin,xmax,y,ymin,ymax) plots the implicit function defined by f, with variable x taking values from xmin to xmax, and variable y taking values from ymin to ymax. Options: ip_grid, ip_grid_in, line_width, line_type, key, color

 #1 #2 #3 #4 #5 #6 #7 implicit #1 #2 #3 #4 #5 #6 #7 implicit :

[Maxima Draw3D] implicit(f,x,xmin,xmax,y,ymin,ymax,z,zmin,zmax) 3D Darstellung einer implizit gegebenen Funktion im angegebenen Variablenbereich (Marching Cubes Algorithmus). Optionen: x_voxel, y_voxel, z_voxel, ip_grid_in, line_width, line_type, wired_surface, enhanced3D, color [Maxima Draw]

[Maxima Draw3D] implicit(f,x,xmin,xmax,y,ymin,ymax,z,zmin,zmax) plots the implicit surface defined by f, with variable x taking values from xmin to xmax, variable y taking values from ymin to ymax and variable z taking values from zmin to zmax. This object implements the marching cubes algorithm. Options: x_voxel, y_voxel, z_voxel, line_width, line_type, key, wired_surface, enhanced3d,and color

 #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 implicit #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 implicit :

[Maxima Draw2D and 3D] label(list) Beschriftung, im 2D gegeben als Liste (text,x,y), im 3D als Liste (text,x,y,z), spezielle Optionen: color, label_alignment, label_orientation

[Maxima Draw2D and 3D] label(list) text label specified in 2D as list [text,x,y], in 3D as list [text,x,y,z], Options: color, label_alignment, label_orientation

 _ label _ label :

[Maxima Draw2D] parametric(fx,fy,p,pmin,pmax) parametrisch gegebenen Funktion. Optionen: nticks, line_width, line_type, key, color, enhanced3d

[Maxima Draw2D] parametric(fx,fy,p,pmin,pmax) plots the parametric function fx, fy with parameter p taking values from pmin to pmax. Options: nticks, line_width, line_type, key, color, enhanced3d

 #1 #2 #3 #4 #5 parametric #1 #2 #3 #4 #5 parametric :

[Maxima Draw3D] parametric(fx,fy,fz,p,pmin,pmax) Parametrische Funktion, beschrieben durch drei Koordinatenfunktionen des Parameters p im gegebenen Bereich von pmin bis pmax. Optionen: nticks, line_width, line_type, key, color, enhanced3d

[Maxima Draw3D] parametric(fx,fy,fz,p,pmin,pmax) parametric function, described by three coordinate functions of parameter p, taking values from pmin to pmax. Options: nticks, line_width, line_type, key, color, enhanced3d

 #1 #2 #3 #4 #5 #6 parametric #1 #2 #3 #4 #5 #6 parametric :

points(matrix) Punkte, 2D: n x 2 oder 2 x n -> n Punkte bei (x,y) oder 1 x n oder n x 1 -> n Punkte bei (index,y). 3D: n x 3 oder 3 x n -> Punkte bei (x,y,z). Spezielle Optionen: points_joined, point_type, point_size [Maxima Draw2D/3D]

[Maxima Draw2D and 3D] points(matrix) 2D: n x 2 or 2 x n -> n points at (x,y) or 1 x n or n x 1 -> n points at (index,y). 3D: n x 3 or 3 x n -> points at (x,y,z). Specific options: points_joined, point_type, point_size, enhanded

 #1 points #1 points :

[Maxima Draw2D] points(lx,ly) Punkte, gegeben durch zwei Listen der x- und y-Koordinaten. Spezielle Optionen: points_joined, point_type, point_size [Maxima Draw2D]

[Maxima Draw2D] points(lx,ly) points given by two lists, special options: points_joined, point_type, point_size

 #1 #2 points #1 #2 points :

[Maxima Draw3D] points(lx,ly,lz) zeichnet Punkte, gegeben durch drei Listen, spezielle Optionen: points_joined, point_type, point_size

[Maxima Draw3D] points(lx,ly,lz) points given by three lists, pecial options: points_joined, point_type, point_size

 #1 #2 #3 points #1 #2 #3 points :

[Maxima Draw2D] polar(r,φ,φmin,φmax) zeichnet Funktionen, die in Polarkoordinaten gegeben sind (Radius r als Funktion des Winkels φ). Spezielle Optionen: key, nticks, line_width, line_type, color

[Maxima Draw2D] polar(r,φ,φmin,φmax) draws functions given in polar co-ordinates (radius r as function of angle φ). Special options: key, nticks, line_width, line_type, color

 #1 #2 #3 #4 polar #1 #2 #3 #4 polar :

[Maxima Draw2D] polygon(matrix) Polygon durch die als n x 2 Matrix gegebenen Punkte. Spezielle Optionen: transparent, fill_color, border, line_width, key, line_type color

[Maxima Draw2D] polygon(matrix) polygon defined by matrix (each row one point). Special options: transparent, fill_color, border, line_width, key, line_type color

#1 polygon #1 polygon :

[Maxima Draw2D] polygon(lx,ly) Zeichnet ein Polygon durch die als x- und y-Listen gegebenen Punkte. Spezielle Optionen: transparent, fill_color, border, line_width, key, line_type color

[Maxima Draw2D] polygon(lx,ly) polygon defined by two lists. Special options: transparent, fill_color, border, line_width, key, line_type, color

#1 #2 polygon #1 #2 polygon :

[Maxima Draw2D/3D] quadrilateral(l1,l2,l3,l4) Viereck, gegeben durch Listen der Eckkoordinaten 2D: [x,y] oder 3D: [x,y,z]. Spezielle Optionen: transparent, fill_color, border, line_width, key, line_type, color, enhanced3D (nur 3D)

[Maxima Draw2D/3D] quadrilateral(l1,l2,l3,l4) quadrilateral given by lists of vertex coordinates: [x,y] in 2D or [x,y,z] in 3D. Special options: transparent, fill_color, border, line_width, key, line_type, color, enhanced3D (3D only)

 #1 #2 #3 #4 quadrilateral #1 #2 #3 #4 quadrilateral :

[Maxima Draw2D] rectangle(l1,l2) Rechteck gegeben durch Koordinatenlisten [x,y] gegenüberliegender Ecken. Spezielle Optionen: transparent, fill_color, border, line_width, key, line_type, color

[Maxima Draw2D] rectangle(l1,l2) specified by lists [x,y] of opposite corners. Special options: transparent, fill_color, border, line_width, key, line_type, color

#1 #2 rectangle #1 #2 rectangle :

[Maxima Draw2D] region(expr,x,xmin,xmax,y,ymin,ymax) Füllt das Gebiet wo expr wahr (true) ist im Bereich von xmin, xmax, ymin, ymax. Optionen: fill_color, key, x_voxel, y_voxel

[Maxima Draw2D] region(expr,x,xmin,xmax,y,ymin,ymax) Fills the region where expr is true in the domain given by xmin, xmax, ymin, ymax. Options: fill_color, key, x_voxel, y_voxel

 #1 #2 #3 #4 #5 #6 #7 region #1 #2 #3 #4 #5 #6 #7 region :

[Maxima Draw2D] region(expr,x,xmin,xmax,y,ymin,ymax) Füllt das Gebiet wo expr wahr (true) ist im Bereich von xmin, xmax, ymin, ymax. Optionen: fill_color, key, x_voxel, y_voxel

[Maxima Draw3D] spherical(r, a, mina, maxa, z, minz, maxz) plots function r(a, z) defined in spherical coordinates, with azimuth a taking values from mina to maxa and zenith z taking values from minz to maxz. Options: xu_grid, yv_grid, line_type, key, wired_surface, enhanced3d, and color.

 #1 #2 #3 #4 #5 #6 #7 spherical #1 #2 #3 #4 #5 #6 #7 spherical :

[Maxima Draw2D/3D] triangle(l1,l2,l3) Dreieck, gegeben durch Koordinatenlisten [x,y] (2D) oder [x,y,z] (3D) der Ecken. Spezielle Optionen: transparent, fill_color, border, line_width, key, line_type, color

[Maxima Draw2D/3D] triangle(l1,l2,l3) given by co-ordinate lists [x,y] (2D) or [x,y,z] (3D) of the corners.Options: transparent, fill_color, border, line_width, key, line_type, color

#1 #2 #3 triangle #1 #2 #3 triangle :

[Maxima Draw3D] tube(fx,fy,fz,fr,p,pmin,pmax) Röhre, gegeben durch Mittellinie mit fx,fy,fz und den Radius fr als Funktionen des Parameters p. Spezielle Optionen: xu_grid, yv_grid, line_type, line_width, key, wired_surface, enhanced3d, color, capping.

[Maxima Draw3D] tube(fx,fy,fz,fr,p,pmin,pmax) tube, given by functions fx,fy,fz of the centerline and radius function fr of the parameter p from pmin to pmax. Special options: xu_grid, yv_grid, line_type, line_width, key, wired_surface, enhanced3d, color, capping.

 #1 #2 #3 #4 #5 #6 #7 tube #1 #2 #3 #4 #5 #6 #7 tube :

[Maxima Draw2D/3D] vector(l1,l2) Pfeil, gegeben durch Koordinatenlisten (x,y) (2D) oder (x,y,z) (3D) der Endpunkte. Spezielle Optionen: head_both, head_length, head_angle, head_type, line_width, line_type, key color.

[Maxima Draw2D/3D] vector(l1,l2) given by co-ordinate lists [x,y] (2D) or [x,y,z] (3D) of the end points. Spezielle Optionen: head_both, head_length, head_angle, head_type, line_width, line_type, key color.

 #1 #2 vector #1 #2 vector :

Sonstige

[Maxima] set(e1, e2,...) Maxima set (Liste in geschweiften Klammern)

[Maxima] set(e1, e2,...) Maxima set (in Maxima this is a list in curly braces)

 _ set _ set :

[Maxima] args(expr) Liste der Argumente von expr

[Maxima] args(expr) list of the top level arguments of expr. Extracts lines from matrices.

 _ args _ args :

[Maxima] apply(f, Liste) Macht die Elemente der Liste zu Argumenten von f. apply(f,args(matrix)) wandelt eine Matrix in Argumente einer Funktion um -> f(row1, row2,...)

[Maxima] apply(f, list) applies the elements of list as arguments to f. apply(f,args(matrix)) converts a matrix into arguments of a function -> f(row1, row2,...)

 _ args _ args :

[Maxima]

true true :

[Maxima]

false false : 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