Assigning Values: x = value Assigns value to the variable x x = y = value Assigns value (the same value) to both the variables x and y Clear[x,
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Substitution, Mathematica rules
In Wolfram Mathematica® one can substitute an expression with another using rules In particular, one can substitute a variable with a value without assigning
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It is very important to realize that values you assign to variables are permanent Once you have assigned a value to a particular variable, the value will be kept until
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2 fév 2000 · To define a function and assign a value to a variable, you can use use either the notation for an immediate assignment, =, or for a delayed
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N[ ] gives the numeric value of a quantity > Plot[ {function1, function2}, {variable, min, max}] >'esc' 'letter' 'esc' for Greek letters > Be aware of how Mathematica
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Assigning Values: x = value Assigns value to the variable x x = y = value Assigns value (the same value) to both the variables x and y Clear[x,
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This is the Mathematica Tutorial that we have peer leaders (undergraduate assign a value to each variable Z + F Assign a value to U then add U to Z and F
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In traditional mathematics, we use the "=" sign for many different purposes We make use of this symbol when we want to assign a value to a variable (x=3); we use
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Mathematica, curly braces and square brackets have an entirely different meaning using a, b, and c, we had assigned values to these variables, and so the
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of Mathematica, the main advantage to Maple is a user friendly interface which and then the variable value, so theta:=Pi would assign the variable θ a value
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Mathematica Tip Sheet
Built-In Constants:
π=Pie=Ei=⎷-1 =I∞=Infinity
Built-In Functions:
Abs[x] Sin[x] ArcSin[x]
Sqrt[x] Cos[x] ArcCos[x]
Exp[x] Tan[x] ArcTan[x]
Log[x](= lnx)Sec[x] ArcSec[x]
Log[b, x](= logb(x))Csc[x] ArcCsc[x]
n!orFactorial[n] Cot[x] ArcCot[x]Grouping:
Parentheses -( )Used for grouping for basic operations, like+, -, *, /, ^. Square Brackets -[ ]Used for functions to indicate the variable quantity to be used. (f[x]). Curly Braces -{ }Used for lists, vectors, matrices, and ranges of values for options.Assigning Values:
x =valueAssignsvalueto the variablex. x = y =valueAssignsvalue(the same value) to boththe variablesxandy. Clear[x,y]Clears all values (if any) previously assigned toxandy. (USE OFTEN!) x == yTests whetherxis equal toy, often used when trying to solve equations. expr/.x->valueReplaces everyxinexprwithvalue. expr/.{x->xval, y->yval}Replacesxandyinexprwithxvalandyval, respectively. f[x]=exprDefines a functionf, of one variable. Remember the underscore ()! g[x, y]=exprDefines a functiong, of two variables.Some Algebra Commands:
Expand[expr]Multiplies out products and powers in theexpr.Factor[expr]Factorsexprover the integers.
Apart[expr]Decomposesexprinto partial fractions.
Simplify[expr]Performs algebraic transformations to give the simplest form ofexpr. Solve[lhs==rhs,x]Solves the polynomial equationlhs=rhs(exactly) forx. (Notice the double equal sign==.) FindRoot[lhs==rhs,{x,a,b}]Numerically solves the polynomial equationlhs=rhsforx, starting in the interval(a, b).a=x/.Solve[lhs==rhs,x]Stores the solution value as the variablea. If there is more than one solution,
add[[n]]at the end of the command to store thenthresult asa. sol=x/.FindRoot[lhs==rhs,{x,a,b}]Stores the solution value as the variablesol.