Plotting f (x, y) = ln(x^2 + y^2 ) - Mathematica Help

  • Thread starter Thread starter kash-k
  • Start date Start date
  • Tags Tags
    Mathematica
AI Thread Summary
To plot the function f(x, y) = ln(x^2 + y^2) in Mathematica, users can utilize the Plot3D command with the syntax Plot3D[Log[x^2 + y^2], {x, xmin, xmax}, {y, ymin, ymax}]. For symmetry in both x and y axes, it is recommended to set xmin equal to ymin and xmax equal to ymax. Additionally, users can define the function as f[x_, y_] = Log[x^2 + y^2] and then plot it using Plot3D[f[x, y], {x, xmin, xmax}, {y, ymin, ymax}]. To achieve a cylindrical coordinate representation, the ParametricPlot3D command can be used. Properly configuring these commands allows for accurate three-dimensional visualizations of the function.
kash-k
Messages
17
Reaction score
0
I'm trying to plot this
f (x, y) = ln(x^2 + y^2 )

any one got a idea how to?
 
Mathematics news on Phys.org
Plot3D[f, {x, xmin, xmax}, {y, ymin, ymax}]
make a three-dimensional plot of f as a function of the
variables x and y
 
More accurately,

Plot3D[Log[x^2 + y^2], {x, xmin, xmax}, {y, ymin, ymax}]

or

f[x_,y_]=Log[x^2 + y^2]
Plot3D[f[x,y], {x, xmin, xmax}, {y, ymin, ymax}]
 
i want to make this symmetric in both x and y with 2 graph by using the cartesian coordinate system with the plot3D command and secondly using the cyclindrical coordinate system using the parametricplot3d command. been a long time since I've used mathematica but i don't think your codes does the above right?
 
anyone ?
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Back
Top