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Try out the various options (Presentation, Working, SlideShow, Condensed, Printout) to see how they look. The screen appearance and size of the font in the notebook is selected in the Screen Environment setting on the Format menu. Note that the parentheses must be included in the syntax. You can put comments within an Input line by using the syntax (* put your comments here *). If you want to add a title, change the format of the cell to Title. All of the text in a cell can be changed to a different style by clicking on the cell bracket to the right of the cell (this selects the entire cell), and then clicking on the Style command in the Format menu.
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Into that cell will be in the selected style. Change the Style by selecting the Style command in the Format menu and choosing one of the styles listed. If you want to add comments, the Style of the cell must be designated as Text (or various types of titles or sections). The number indicates the sequential order of the Evaluations that Mathematica has performed (see discussion under the heading The Mathematica Kernel below). Once a cell has been evaluated, the Input is designated with In = and the Output response by Out =. Mathematica’s response from Evaluating a cell containing Input will be in Output Style. Input is used to enter mathematical equations or Mathematica functions and commands. That is, when you begin to type information into a cell, Mathematica assumes that you are entering Input. You can force a new line by typing the Enter key alone. If the equations or commands are too long to fit on a single line, Mathematica automatically wraps to the next lines. Typing Enter without the Shift key starts a new line in the current cell. You can also evaluate one cell or a group of cells by selecting the brackets at the right side of the window and typing Shift and Enter. You can evaluate an entire notebook all at once by choosing Evaluate Notebook from the Evaluation menu. After you have completed typing an Input, you Evaluate the Input (i.e., make Mathematica execute the mathematical command you entered) by hitting the Shift and Enter keys at the same time. It is sometime easier to move to a new line using the up and down arrows on the keyboard. A horizontal line across the Notebook indicates that the cursor is at the top of a cell. To start a new cell for the next Input, place the cursor below the current cell and then type your Input. When the Enter key is used, Mathematica begins a new line in the same cell. A single cell may consist of several lines of typing. Normally, a cell consists of a single mathematical Input, the Output resulting from evaluating an Input, or Text. Cells are designated with brackets on the right side of the notebook window. You begin your Mathematica session by typing Input into the Mathematica workbook. Mathematica responses are also designated as italicized text with the first letter capitalized (e.g., Input, Output, and so on). In the following discussion, menu names are designated in bold letters with the first letter capitalized (e.g., File, Edit, Insert, Cell, etc.), and sub-menu items are designated as italicized text with the first letter capitalized (e.g., New, Open, Close, etc. A notebook file is designated with the extension. A notebook in Mathematica is like a document in Microsoft Word, which starts with an open document called Document1. Mathematica starts with an open notebook called Untitled1.nb. For this FindRoot helps.Introduction to Mathematica 7 Getting Started You begin by starting Mathematica. So you only need to find the solutions in a finite interval (except for $A_1 = A_2$ where the determinant is always zero).
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For $|k| \geq (A_1 -A_2)/A_1 A_2$ this equation has no solutions. For $L=1,2,…$ the busyness gets more and more tricky, but numerical solutions are always obtainable.Į.g., for $L=1$ the determinant is zero whenever $(1+A_1 A_2 k^2) \sin - (A_1 -A_2) k \cos=0$. So for L=0, you obtain that the determinant is proportional toĪnd therefore the solutions are at $k= n \pi/(A_1-A_2)$ with $n\in \mathbb$. Mathematica will help you with this task if you write 1/2 instead of 0.5. Bessel functions of half integer arguments can be reduced to trigonometric functions. ), Mathematica (and this forum) cannot help.įor your specific problem, Mathematica can help. As you have more than one equation this even looks hopeless -) So unless you know more about the equations and the allowed range for the variables (real, complex, from a compact set. Finding all solutions of a general transcendental equation is a nontrivial task.