collabmath's profile - activity

I am trying to display latex using python. However, whenever I add a dollar sign and \ I get a indentation error in my my q expression in my sage html interactive. What is the problem?

Here is my code:

x, y = var('x y')
html("<h1>Double Integrator</h1>")
@interact
def interplay(function=input_box(x*y),lower_x_bound=input_box(0),upper_x_bound=input_box(x),lower_y_bound=input_box(0),upper_y_bound=input_box(1),dydx=checkbox(default=False)):
 try:
    if dydx is False:
      result = integral(integral(function, x, lower_x_bound, upper_x_bound),y, lower_y_bound, upper_y_bound)
      print('hello');
      pretty_print(html("hello"))
      q = r"$\int {0}^{1}\int_{2}^{3} {4} \,dx\,dy = {5}$".format(lower_y_bound, upper_y_bound,lower_x_bound, upper_x_bound,function, result)
    else:
      result = integral(integral(function, x, lower_x_bound, upper_x_bound),y, lower_y_bound, upper_y_bound)
      q = r"$ int {0}^{1} int_{2}^{3} {4} ,dx,dy = {5} $".format(lower_y_bound, upper_y_bound,lower_x_bound, upper_x_bound,function, result)

    pretty_print(html("%s" % q))
 except Exception as e :
    print("Please enter better inputs")
    print(e)

Here is my error

 * BackslashOperator() * int {Integer(0)}**{Integer(1)} * BackslashOperator() * int_{Integer(2)}**{Integer(3)} {Integer(4)}  * BackslashOperator() * ,dx * BackslashOperator() * ,dy = {Integer(5)}
IndentationError: unexpected indent

I made a sage interactive. It works great on math cloud. However when I copy paste and format into html and make it online. The interactive says that it does not have enough arguments to format string. Why would this happen if it is the same code? Here is my code:

<h2>Double integrater</h2>
  Alternative to Mathematica double integrater. Way Better!
<div id="mycell">
x,y = var('x,y')
html("<h1>Double Integrator<h1>")
@interact
def  interplay(function= input_box(x*y),lower_x_bound= input_box(0),upper_x_bound = input_box(x),lower_y_bound=input_box(0),upper_y_bound=input_box(1),dydx = checkbox(default = False)):
  try:
    if dydx == False:
      result = integral(integral(function,x,lower_x_bound,upper_x_bound),y,lower_y_bound,upper_y_bound)

      q ="$\int_{%s}^{%s} \int_{%s}^{%s} %s \,dx\,dy = %s $" % (lower_y_bound, upper_y_bound,lower_x_bound,upper_x_bound,function,result)

    else:
      result = integral(integral(function,y,lower_y_bound,upper_y_bound),x,lower_x_bound,upper_x_bound)
      q ="$\int_{%s}^{%s} \int_{%s}^{%s} %s \,dx\,dy = %s $" % (lower_y_bound, upper_y_bound,lower_x_bound,upper_x_bound,function,result)
    pretty_print(html("%s" %q))
  except Exception as e :
    print("Please enter better inputs")
    print(e)
html("<p> done</p>")


</div>

fidbc corrected some of my previous code for double integration. However I am only able to good a good numerical double integral. Is their a sage method that can do both symbolic ie variables as bounds and numeric integration if not what is the symbolic integration method. Using the current integrate method I have I get back the wrong results in bracketed around the word integrate.

Here is my double integration code corrected by fidbc for numerical integration does anyone know a better integration method or methods for symbolic double integration.

from sage.plot.plot3d.shapes import Box
x,y = var('x,y')

@interact
def  interplay(function= input_box(sin(x*y)),lower_x_bound= input_box(0),upper_x_bound = input_box(1),lower_y_bound=input_box(0),upper_y_bound=input_box(1),dydx = checkbox(default = False)):
    if dydx==False :              
        prev = integral(function,x,lower_x_bound,upper_x_bound)
        result = n(integral(prev,y,lower_y_bound,upper_y_bound))
        q ="$\int_%s^{%s} \int_%s^%s %s \,dx\,dy = %s $" % (lower_y_bound, upper_y_bound,lower_x_bound,upper_x_bound,function,result)
    else:
        result = n(integral(integral(function,y,lower_y_bound,upper_y_bound),x,lower_x_bound,upper_x_bound))
        q = "$\int_%s^{%s} \int_%s^%s %s \,dy\,dx = %s $" % (lower_x_bound,upper_x_bound,lower_y_bound,upper_y_bound,function,result)
    html("%s" %q)

Sorry I specifically want the integrator to give the symbolic double integral as well as the numerical one

I am making a double integral interactive. However instead of giving my result for sin(xy) from x = 0 to x = 1 and y= 0 to y = 1 it gives integrate(-cos(2y)/y + 1/y,y,0,1).

 from sage.plot.plot3d.shapes import Box
x,y = var('x,y')
html("<h1>Double Integrator<h1>")
#permutations = ["dx dy","dy dx"]
@interact

def  interplay(function= input_box(sin(x*y)),lower_x_bound= input_box(0),upper_x_bound = input_box(1),lower_y_bound=input_box(0),upper_y_bound=input_box(1),dydx = checkbox(default = False)):



    try:    

          if dydx==False :              
                 prev = integral(function,x,lower_x_bound,upper_x_bound)
                 result = integral(prev,y,lower_y_bound,upper_y_bound)

                 q ="$\int_%s^{%s} \int_%s^%s %s \,dx\,dy = %s $" % (lower_y_bound, upper_y_bound,lower_x_bound,upper_x_bound,function,result)
                 # puts expressions inside latex
          else:
                result = integral(integral(function,y,lower_y_bound,upper_y_bound),y,lower_x_bound,upper_x_bound)
                #actually calculates integral
                q = "$\int_%s^{%s} \int_%s^%s %s \,dy\,dx = %s $" % (lower_x_bound,upper_x_bound,lower_y_bound,upper_y_bound,function,result)


         #if type(lower_x_bound)!=float or type(upper_x_bound)!=float or type(lower_y_bound)!= float or type(upper_y_bound)!= float :


          html("%s" %q)
    except:
        print(" "+"Please enter better bounds")





     #show(result)
html("<p> Created by Hans Gundlach </p>")

I am trying to make a sage interactive that switches between dx dy and dy dx. Yet, in my interactive when I press either I see no difference in the latex generated ie the order dx dy or dy dx does not chnage

def  interplay(order= permutations,function= input_box(sin(x*y)),lower_x_bound= input_box(0),upper_x_bound = input_box(1),lower_y_bound=input_box(0),upper_y_bound=input_box(1),showGraph = checkbox(default = False)):



    try:    

       if permutations == "dx dy":              
                 result = integral(integral(function,x,lower_x_bound,upper_x_bound),y,lower_y_bound,upper_y_bound)#function.integrate(x,lower_x_bound,upper_x_bound).integrate(y,lower_y_bound,upper_y_bound)

                 q="$\int_%s^{%s} \int_%s^%s %s \,dx\,dy = %s $" % (lower_y_bound, upper_y_bound,lower_x_bound,upper_x_bound,function,result)
                 # puts expressions inside latex
          else:
                result = integral(integral(function,y,lower_y_bound,upper_y_bound),y,lower_x_bound,upper_x_bound)
                #actually calculates integral
                q="$\int_%s^{%s} \int_%s^%s %s \,dy\,dx = %s $" % (lower_x_bound,upper_x_bound,lower_y_bound,upper_y_bound,function,result)

This fixed the attribute error Thank you

Herr is my code for a double integrator interactive I am making that both make a double integral and shows a graph with added rectangles. However in my code I get an attribute error I don't know.

from sage.plot.plot3d.shapes import Box
x,y = var('x,y')
html("<h1>triple integrater<h1>")
permutations = ["dx dy","dy dx"]
@interact

def  interplay(order= permutations,function= input_box(sin(x*y)),lower_x_bound= input_box(0.1.1),upper_x_bound = input_box(1),lower_y_bound=input_box(0),upper_y_bound=input_box(1),showGraph = checkbox(default = False), numrecs= input_box(50)):
     if permutations == "dx dy":

             result = integral(integral(function,x,lower_x_bound,upper_x_bound),y,lower_y_bound,upper_y_bound)+function(lower_x_bound,lower_y_bound)+function(lower_x_bound,lower_y_bound)#function.integrate(x,lower_x_bound,upper_x_bound).integrate(y,lower_y_bound,upper_y_bound)

             q="$\int_%s^{%s} \int_%s^%s %s $" % (lower_y_bound, upper_y_bound,lower_x_bound,upper_x_bound,function)
             # puts expressions inside latex
     else:
            result =integral(integral(function,y,lower_y_bound,upper_y_bound),y,lower_x_bound,upper_x_bound)
            #actually calculates integral
            q="$\int_%s^{%s} \int_%s^%s %s $" % (lower_x_bound,upper_x_bound,lower_y_bound,upper_y_bound,function)


     #if type(lower_x_bound)!=float or type(upper_x_bound)!=float or type(lower_y_bound)!= float or type(upper_y_bound)!= float :


     if lower_x_bound in RR or upper_x_bound in RR or lower_y_bound in RR or lower_y_bound in RR:
       #check if bounds are are real before graphing because I do nto know how to graph with   x as a bound.
        showGraph = True
        html("Can only grah numerical bounds")   
     else:
         showGraph = False




     if showGraph == True :
          graph = plot3d(function,(x,lower_x_bound,upper_x_bound),(y,lower_y_bound,upper_y_bound),fill=True,color = "orange",spin = 4)
          html("<h3>Graph of Integrated Region</h3>")
          delta = upper_x_bound - lower_x_bound


          B =  sum([Box([1/numrecs,.5,abs(function(lower_x_bound+(i-1)*delta/numrecs , .2))], color="orange").translate((lower_x_bound+delta*i/numrecs,0,function(lower_x_bound+i*delta/numrecs)/2)) for i in [0..numrecs]])
          #makes a whole bunch of rectangels which approximate graph of function being integrated
          show(graph+B)

     html("<h3>Numerical Result</h3>")


     #s = "$\int_{2}^{3}  \int_{4}^{5} {0} \,dxdy = {1} $"

     #p = s.format(function, result,lower_x_bound,upper_x_bound,lower_y_bound,upper_y_bound)





     html("%s" %q)
     #shows the result

I am getting this error. I do not know what it means.

Error in lines 5-29
Traceback (most recent call last):
  File "/projects/454b81d2-ef23-4b95-bd57-5c718a468ea1/.sagemathcloud/sage_server.py", line 881, in execute
    exec compile(block+'\n', '', 'single') in namespace, locals
  File "", line 2, in <module>
  File "sage/structure/element.pyx", line 418, in sage.structure.element.Element.__getattr__ (/projects/sage/sage-6.9/src/build/cythonized/sage/structure/element.c:4670)
    return getattr_from_other_class(self, P._abstract_element_class, name)
  File "sage/structure/misc.pyx", line 259, in sage.structure.misc.getattr_from_other_class (/projects/sage/sage-6.9/src/build/cythonized/sage/structure/misc.c:1771)
    raise dummy_attribute_error
AttributeError: 'sage.rings.real_mpfr.RealLiteral' object has no attribute 'gen'

sorry it works exactly the same still looking for solution

I am trying to write some code where the user enters in a expression into a sage interactive and then my programs display the integral in latex. For example the user might enter in x^2 or sin(x) as bounds in my program. However,neither of these expressions works. when I use sin(x) as bound the s shows up as a bound but the in(X) shows up in the expression being integrated. when I put x^2 as a bound the integral does not show up and I get the message "Double Exponents use braces to clarify".

 s = "$\int_{2}^{3}  \int_{4}^{5} {0} \,dxdy = {1} $"

p = s.format(function, result,lower_x_bound,upper_x_bound,lower_y_bound,upper_y_bound)


html("%s" %p)

I'm trying to embed a small sage cell/program into my webpage. However, the cell only activates when the user presses a activation button. I would like the cell to show up automatically on the page so the user does not have to press the activate button and then enter the values in for the program. I don't know how I could do this. Is their any way to auto-press a button that is created by a script? Is their any way for just the cell to show up like in Mathematica interactives?

Here is the source code:

<!DOCTYPE HTML>
<html>
  <head>
    <meta charset="utf-8">
    <meta name="viewport" content="width=device-width">
    <title>Sage Cell Server</title>
    <script src="https://sagecell.sagemath.org/static/jquery.min.js"></script>
    <script src="https://sagecell.sagemath.org/static/embedded_sagecell.js"></script>



    <script>$(function () {
    // Make the div with id 'mycell' a Sage cell
    sagecell.makeSagecell({inputLocation:  '#mycell',
                           template:       sagecell.templates.minimal,
                           evalButtonText: 'Activate'});
                           hide: ['evalButton']
    // Make *any* div with class 'compute' a Sage cell

    });
    </script>
  </head>
  <body>


  <h2>Factorial</h2>
  Click the “Activate” button below to calculate factorials.
    <div id="mycell">
@interact
def _(a=(1, 10)):
    print factorial(a)
 </script>
</div>


  </body>
</html>

Here is the html for the button generated:

<button type="button" class="sagecell_evalButton ui-button ui-widget ui-state-default ui-corner-all ui-button-text-only" role="button" aria-disabled="false"><span class="ui-button-text">Activate</span></button>

Here is the page after the button has been pressed (with the cell):