Skip to main content

Plot the zeros of transcendental equations in Mathematica

Image
By

  • A transcendental equation is defined as function f.
  • It is solved not by the usual Solve routine but by the new Refine routine because it includes all the different possibilities of the unknown variables the equation has. 
  • Assuming is used to tell the kernel that the variables XX and YY  are always positive. Note the way the two conditions are clubbed. With an &&.
  • Now, we have to set XX and YY to some value, otherwise Mathematica would not be able to Plot it. 
  • Then to evaluate at what point the zeros of the function f occurs using the {v,f(v)} and setting v= {the solution}.
  • Now, we can inject this point into the Plot by the Epilog command.  Epilog command is an option for graphics functions which gives a list of graphics primitives to be rendered after the main part of the graphics is rendered. 
  • The options used for the point size / color are standard commands.
  • Now mathematics plots the function f. Then renders the points of its zeros directly into the plot. So, the end effect is that we see the points where the function crosses the x-axis highlighted in RED.

Comments

Post a Comment

Popular posts from this blog

LYRICS OF CHANDRABINDOO

By
___________________________________________________________________ SWEET HEART FROM AAR JAANI NAA(T-SERIES) -- SWEETHEART -- Pratham college-er din ta Aajo thik e mone poRey scene ta Dada didi haath dhorey siNRi tei bose poRey Aamar chokh ta ghorey bon bon bon bon Sweetheart, I am seating alone Sweetheart, for me there is none DhoNk gile chole gelo pratham maas Meye dekhlei feli deergho-shwash DhoNk gile chole gelo pratham maas Meye dekhlei othe nabhishwash Meyera bheeshan smart poRey chhoto mini-skirt Aamar e je sheet korey kon kon kon kon Sweetheart, I am seating alone Sweetheart, for me there is none Taarporey kete gelo maas chaar Fuse holo je kato future Bandhura purse khule eke oke taake tole Aamar pran ta korey chon mon chon mon Sweetheart, I am seating alone Sweetheart, for me there is none Ekdin lawn theke beriye Ek tanayaar dike taakiye Hawt korey ki je holo magaj ta ghurey gelo Taar kaaner saamne kori ghyan ghyan ghyan ghyan Sweetheart, I am seating alone Sweethea...
2 comments
Read more

Fastest way to send multiple drafts from gmail

By
People claim that the fastest way to send multiple email drafts is to use Gmail IMAP with email client like Outlook or Evolution or Thunderbird. But I have found this is not true. Because Thunderbird and Evolution etc. email clients treats the drafts as emails still to be edited. So it is not just simple select all and hit send. Each email draft has to be opened and sent separately. That is a lot of clicks and mouse movements, wasting precious time and energy. I have a better solution which involves minimum keystrokes and mouse usage. Efficiency booster technique for sending emails. If someone is feeling adventurous and want to try it from the Gmail interface itself, here's how to do it in the fastest possible manner. It involves using the mouse once. Select the first draft. Gmail would open a new email box and put the cursor inside the box to write. Press TAB once to go the Send button. Press ENTER to send. Now Gmail sends it and the box is gone but the highlight goes to the last...
2 comments
Read more

Changing the font size of section headings in LaTex

By
You have several ways to do so: 1.- A direct redefinition of \section: \makeatletter \renewcommand\section{\@startsection{section}{1}{\z@}%                                   {-3.5ex \@plus -1ex \@minus -.2ex}%                                   {2.3ex \@plus.2ex}%                                   {\normalfont\large\bfseries}} \makeatother 2.- By means of the titlesec package: \usepackage{titlesec} \titleformat{\section}{\large\bfseries}{\thesection}{1em}{} 3.- By means of the sectsty package: \usepackage{sectsty} \sectionfont{\large} source : http://www.latex-community.org/forum/viewtopic.php?f=4&t=3245   Now, I would explain the titlesec package a bit more (because it seems easier to me and...
Post a Comment
Read more