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In order to use P(n,k) and C(n,k), you must be in the IntegerFunctions context. These can be used in authoring problems if is included in the problem.

floor(x) The floor function that rounds down to the nearest integer.

ceil(x) The ceiling function that rounds up to the nearest integer.

C(n,k) = "n choose k" the number of unordered sets of k elements chosen from n elements.

The following functions are not enabled in student answers by default:

P(n,k) = n*(n-1)*(n-2).(n-k+1) the number of ordered sequences of k elements chosen from n elements.

step(x) - the step function (1 if x > 0, 0 otherwise.).

These functions are available for some problems, but may not be enabled for others (for authoring information see step functions):

sgn(x) - the sign function, either -1 (if x 0).

n! - n factorial (defined for nonnegative integers), can also be written as fact(n).

Note: All of the trigonometric functions use radian measure.

log10(x) - The logarithm to the base 10.

log(x) - This is usually the natural logarithm, but some instructors redefine it to mean log to the base 10.

ln(x) - The natural logarithm (logarithm to the base e).

However, sometimes one or more of these functions is disabled forĪ particular WeBWorK problem because the instructor wants you to calculate the answer by some means other than just using the function. Unless otherwise specified, all of the functions listed below are enabled by default. Mathematical Functions Available In WeBWorK

(-inf, 10] all real numbers less than or equal to 10 (inf stands for infinity).

[2,5) the half-open interval containing all real numbers greater than or equal to 2 and smaller than 5.

all real numbers greater than -2 and smaller than 5

(-2,5) the open interval from -2 to 5, i.e.

Some problems require you to enter an interval of real numbers. Mathematical Constants Available In WeBWorK

$texworks math commands$

to tell the difference between 1+2/3*4 and / click the "Preview Button". Use the "Preview Button" to see exactly how your entry looks.Exponents are taken right to left: 2^3^4 = 2^(3^4) = 2^81 = a big number.Multiplications and divisions are performed left to right: 2/3*4 = (2/3)*4 = 8/3.Additions and subtractions are performed left to right: 1-2+3 = (1-2)+3 = 2.The complete rules for the precedence of operations, in addition to the above, are.Use (-5)^2 if you want to square negative 5. This is because the square operation is done before the negative sign is applied. Is -5^2 positive or negative? It's negative.

$texworks math commands$

Why does the last expression work? Because things in parentheses are always done first, next all functions, such as sin, are evaluated, next all exponents are taken, next all multiplications and divisions are performed in order from left to right, and finally all additions and subtractions are performed. Then the result is squared.) You can always use the Preview button to see a typeset version of what you entered and check whether what you wrote was what you meant. :-) The "sin" operation has highest precedence, so it is performed first, using the next token (i.e. (You can enter it as sin(t)^2 or even sint^2, but don't try such things unless you really understand the precedence of operations. You can enter sin^2(t) as a shortcut although mathematically speaking sin^2(t) is shorthand for (sin(t))^2 (the square of sin of t).For example, sin 2t is interpreted as sin(2)t, i.e. Write sin(t) instead of sint or sin t even though WeBWorK is smart enough to usually accept sin t or even sint. It's always good practice to use parentheses when entering functions. Entering big quotients with square brackets, e.g.Parentheses: () - You can also use square brackets,, and braces, 's (except in contexts where those have special meanings, like creating intervals or sets).^ or ** You can use either ^ or ** for exponentiation, e.g.* Multiplication can also be indicated by a space or juxtaposition, e.g.

$texworks math commands$

This file contains many of Laura's personalized (La)TeX commands and. tex (requires file riemann.eps) The sample files in this section require the input file lauracode.tex. Mathematical Symbols Available In WeBWorK Here are some sample files that you might use for a typical Math 26L course.

6.1 Exponential and Logarithmic Functions.6 Mathematical Functions Available In WeBWorK.4 Scientific Notation Available In WeBWorK.3 Mathematical Constants Available In WeBWorK.1 Mathematical Symbols Available In WeBWorK.LaTeX offers a lot of functions by default, but in some situations it can become in handy to use so called packages. Demonstration of amsmath package and basic math typesetting. Use packages in LaTeX to add more functions.