Para instalarse el programa gráfico-matemático dpgraph, hay que conectarse a la dirección de internet

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Para instalarse el programa gráfico-matemático DPGraph, hay que conectarse a la dirección de internet:

Un vez conectados hacer clic en “List of Site Licensees”, en la siguiente pantalla, en la línea que pone “Licensed institutions sorted by name” hacer clic en la “U”, en la siguiente pantalla seleccionar la Universidad Politécnica de Valencia. Con esto último se procederá a bajarse el programa de instalación de DPGraph llamado “InstallDPGraph.exe” que ocupa 412 KB. Normalmente lo guardará por defecto en el directorio de ficheros temporales, pero conviene cerciorarse del directorio donde lo guarda. A continuación podemos ya instalar el programa si vamos al directorio correspondiente y hacemos doble clic sobre el programa de instalación. Al hacer esto nos preguntará si somos miembros de la UPV, con un párrafo que acaba con “Are you licensed to install this copy of DPGraph?”. Hacemos clic en “Yes” y entonces nos informa que la instalación dura unos segundos y que tan solo ocupa 900 KB del disco duro. Una vez le damos al “OK” y se instala el programa, veremos que ya existe el icono del DPGraph en el escritorio de windows. A partir de ahora para entrar en el programa solo hay que hacer doble clic en dicho icono.


COMMON ERRORS: The seven most common mistakes when creating graphs in the EDIT dialog box are: 1) leaving out asterisks for multiplication; 2) leaving out equals signs or inequality signs; 3) leaving out the parentheses for lists; 4) trying to use equalities in intersections (DPGraph can only intersect inequalities, i.e. regions of space); 5) putting a space inside the two-character symbols :=, >=, or <=; 6) using the parametric variables u or v in implicit graphs; and 7) using the implicit variables x, y, z, r, theta, rho, or phi in parametric graphs.


graph3d( 3x = z^2 ) graph3d( 3*x = z^2 )

graph3d( x^2+y^2 ) graph3d( z = x^2+y^2 )

graph3d( x=1, y=1 ) graph3d( ( x=1, y=1 ) )

graph3d( x=1 & y=1 ) graph3d( x>1 & y>=1 )

graph3d( z^2> =x^2 ) graph3d( z^2 >= x^2 )

graph3d( z=u^2+v^2 ) graph3d( z=x^2+y^2 )

graph3d( rectangular(x,y,sin(x+y)) ) graph3d( rectangular(u,v,sin(u+v)) )

DEFAULTS.DPG: With experience you may find the following technique useful when exploring a new surface. OPEN the file DEFAULTS.DPG, go to EDIT, modify the default equation, and then EXECUTE. Since all of the options are already in DEFAULTS.DPG they can be changed with very little typing. If you like, SAVE the modified file under a different name and it will be ready for future viewing and adjustments.
RESOLUTION: The easiest way to improve the appearance of some graphs is to increase the resolution. The default resolution is 21 by 21 by 21 for implicit graphs, and 40 by 40 for parametric surfaces. To change the resolution for implicit graphs, use the EDIT dialog box to insert a line such as the following before the GRAPH3D command:

graph3d.resolution := 30

For parametric surfaces:

graph3d.stepsu := 50

graph3d.stepsv := 50

You may find it useful to use the technique described in the previous section on DEFAULTS.DPG.

COPYING A GRAPH TO THE CLIPBOARD: Click on CLIPBOARD to copy a picture of the graph to the clipboard. To copy a picture of the entire window (including the border, etc.) to the clipboard, simultaneously press down the ALT and PRINTSCREEN keys. To copy a picture of the whole screen to the clipboard, press PRINTSCREEN.
COPYING A GRAPH INTO ANOTHER APPLICATION: If the other application supports pasting, first copy the graph to the clipboard. Then click on EDIT in the other application, then click on PASTE.
PRINTING A GRAPH: First copy the the graph to an application, such as Word or Paint, that supports printing. Then click on FILE in the other application, then click on PRINT.
FILE FORMAT: DPGraph files have a file type of .DPG. There are two kinds of DPG files: binary and ASCII. DPGraph can read and write either type of DPG file, but the DPGraph Viewer can only read binary DPG files.

Binary DPG files are compressed and contain error detection information for more reliable transmission. ASCII DPG files are readable and editable by Notepad and many other text editors. Each line in the file is a separate command for DPGraph. For example, a file might look like this:




Each command must start on a separate line. The GRAPH3D command must be the last command.

UNINSTALLATION: There are two ways to remove DPGraph from your hard disk drive. Method 1: click on START - SETTINGS - CONTROL PANEL - ADD/REMOVE PROGRAMS, then scroll to DPGraph in the window, select it, and click on ADD/REMOVE. Method 2: click on START - PROGRAMS - DPGRAPH - UNINSTALL.
OPTIONS: Non-numeric default values are given in capital letters.

graph3d.resolution (resolution along longest side of

box, default is 21; other sides of

box have a resolution proportional

to the length of the side)

graph3d.mesh (TRUE or false)

graph3d.perspective (TRUE or false) (TRUE or false)

graph3d.view (STANDARD, top, side, front, or


graph3d.contrast (default is 1/2, range is 0 to 1)

graph3d.transparency (default is 0, range is 0 to 1)

graph3d.background (black, gray, WHITE, brown, red,

yellow, green, cyan, blue, or magenta)

graph3d.color (BYHEIGHT, bysteepness, black,

gray, white, brown, red, yellow,

green, cyan, blue, magenta, or an

expression depending on x, y, z, or time)

graph3d.highlight (default is 0, range is 0 to 1)

graph3d.shading (default is 0, range is 0 to 1)

graph3d.vectorcolor (BYHEIGHT, bysteepness, black,

gray, white, brown, red, yellow,

green, cyan, blue, magenta, or an

expression depending on x, y, z, or time)

graph3d.vectorhighlight (default is 0, range is 0 to 1)

graph3d.vectorshading (default is 0, range is 0 to 1)

graph3d.vectoralign (TAIL, center, or tip)

graph3d.vectorarrowhead (true or FALSE)

graph3d.minimumx (default is -3)

graph3d.maximumx (default is 3)

graph3d.minimumy (default is -3)

graph3d.maximumy (default is 3)

graph3d.minimumz (default is -3)

graph3d.maximumz (default is 3)

graph3d.minimumu (default is -3)

graph3d.maximumu (default is 3)

graph3d.stepsu (default is 40)

graph3d.minimumv (default is -3)

graph3d.maximumv (default is 3)

graph3d.stepsv (default is 40)

a.minimum (scrollbar variable minimum value)

a.maximum (scrollbar variable maximum value)

b.minimum (scrollbar variable minimum value)

b.maximum (scrollbar variable maximum value)

c.minimum (scrollbar variable minimum value)

c.maximum (scrollbar variable maximum value)

d.minimum (scrollbar variable minimum value)

d.maximum (scrollbar variable maximum value)


true (for mesh, perspective, box, and vectorarrowhead)

false (for mesh, perspective, box, and vectorarrowhead)

standard (for view, x is the most horizontal axis)

textbook (for view, y is the most horizontal axis)

top (for view)

front (for view)

side (for view)

byheight (for color or vectorcolor)

bysteepness (for color or vectorcolor)

black (for color, vectorcolor, or background)

gray (for color, vectorcolor, or background)

white (for color, vectorcolor, or background)

brown (for color, vectorcolor, or background)

red (for color, vectorcolor, or background)

yellow (for color, vectorcolor, or background)

green (for color, vectorcolor, or background)

cyan (for color, vectorcolor, or background)

blue (for color, vectorcolor, or background)

magenta (for color, vectorcolor, or background)

tail (for vectoralign)

center (for vectoralign)

tip (for vectoralign)

pi (pi)

e (base of natural logarithms)

x (x variable for implicit graphing)

y (y variable for implicit graphing)

z (z variable for implicit graphing)

r (polar radius, r=sqrt(x^2+y^2))

theta (polar angle, 0<=theta<2*pi, theta=angle(-x,-y)+pi)

rho (spherical radius, rho=sqrt(x^2+y^2+z^2))

phi (spherical angle, 0<=phi<=pi, phi=angle(z,r))

u (u variable for parametric graphs)

v (v variable for parametric graphs)

a (a variable for scrollbar)

b (b variable for scrollbar)

c (c variable for scrollbar)

d (d variable for scrollbar)

time (current time for graphs that change with time)

= (equals, for entering equations)

< (less than, for entering inequalities)

> (greater than, for entering inequalities)

<= (less than or equal, for entering inequalities)

>= (greater than or equal, for entering


& (intersection)

:= (assignment, for assigning values)

(...) (lists of arguments or equations)

+ (addition or leading plus sign)

- (subtraction or leading minus sign)

* (multiplication)

/ (division)

^ (powers)

|...| (absolute value, same as abs(...))

! (factorial)

abs (absolute value, same as |...|)

acos (arccosine)

acosh (hyperbolic arccosine)

acot (arccotangent)

acoth (hyperbolic arccotangent)

acsc (arccosecant)

acsch (hyperbolic arccosecant)

asec (arcsecant)

asech (hyperbolic arcsecant)

asin (arcsine)

asinh (hyperbolic arcsine)

atan (arctangent)

atanh (hyperbolic arctangent)

ceiling (smallest integer >= argument)

cos (cosine)

cosh (hyperbolic cosine)

cot (cotangent)

coth (hyperbolic cotangent)

csc (cosecant)

csch (hyperbolic cosecant)

floor (greatest integer <= argument)

gamma (gamma function)

ln (log base e)

log (log base 10)

nonneg (1 if argument>=0, else undefined)

one (1 if 0<=argument<=1, else undefined)

sec (secant)

sech (hyperbolic secant)

sign (-1 if negative, 1 if positive, indefinite if 0 or indefinite)

sin (sine)

sinh (hyperbolic sine)

sqr (square)

sqrt (square root)

tan (tangent)

tanh (hyperbolic tangent)


angle (-pi <= angle of (x,y) from positive x axis <= pi)

beta (beta function)

cylindrical (parametric graph in cylindrical coordinates)

near (1 if (x,y,z) is near current grid, else undefined)

rectangular (parametric graph in rectangular coordinates)

spherical (parametric graph in spherical coordinates)

vector (graphs a vector field)

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