2 + / An integer or rational number result can be converted to a floating point value by entering float. 2 + /3 5 6 A floating point value causes Eigenmath to switch to floating point arithmetic.
3 Arithmetic Normally Eigenmath uses integer and rational number arithmetic. The operator evaluates to if the operands are equal and 0 if the operands are not equal. Math Eigenmath Comment a = b a = b test for equality a -a negation a + b a+b addition a b a-b subtraction ab a b multiplication, alternatively, a*b a b a bc a/b a/b/c division division operator is left-associative a 2 a^2 power a sqrt(a) square root, alternatively, a^(/2) a(b + c) a (b+c) note the space in between, alternatively, a*(b+c) f(a) f(a) function a b (a,b,c) vector c ( ) a b c d ((a,b),(c,d)) matrix F 2 F tensor component access "hello, world" string literal.2 Testing for equality The infix operator = is used to test for equality of operands. Subexpressions surrounded by parentheses have highest precedence. The arithmetic operators have the expected precedence, that is, multiplication and division are evaluated before add and subtract. Syntax The following table summarizes the various operators and expression syntax. That is, the color blue indicates something that the user should type. N N = The previous example shows a convention that will be used throughout this manual. To see the value of a symbol, just evaluate it. 22 When a symbol is assigned a value, such as N above, no result is printed. N = 22^7 N^(/7) Eigenmath displays the following result. Now let us see if Eigenmath can find the seventeenth root of this number, like the Hindu calculator could.
22^7 After pressing the return key, Eigenmath displays the following result So Nabokov did get it right after all.
We can check Nabokov s arithmetic by entering the following calculation. A foolish tutor had explained logarithms to me much too early, and I had read (in a British publication, the Boy s Own Paper, I believe) about a certain Hindu calculator who in exactly two seconds could find the seventeenth root of, say, (I am not sure I have got this right anyway the root was 22). For example, let us check the following arithmetic from Vladimir Nabokov s autobiography Speak, Memory. Derivative Gradient Template functions Integral Arc length Line integrals Surface area Surface integrals Green s theorem Stokes theorem Function Reference 24 4 Tricks 44Ģ Introduction The field at the bottom of the Eigenmath window is for entering calculations that get evaluated right away. Syntax Testing for equality Arithmetic Exponents Symbols User defined functions Scripts Draw Complex numbers Linear algebra Calculus 3 2.
#Eigenmath windows manual#
1 Eigenmath Manual AugContents Introduction 2.
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