Wiris Quizzes service math expression coverage This documentation page intends to describe the set of mathematical expressions that can be properly parsed by the Wiris Quizzes mathematical engine. We cannot guarantee that all notations used worldwide for a listed expression are supported, but the most common forms are.Some of the expressions will not be recognized with the default grammar settings because they may have an ambiguous meaning in a general context. You can use the Input Options menu to configure the context that will be used to parse the corresponding correct answers and student answers.If your integration does not use the Wiris Quizzes Studio, you can do so by adding parameters to the syntax assertion (see the technical reference for the detailed instructions on that).Wiris Quizzes 3 documentationThis documentation page has been updated to the latest Wiris Quizzes version. You can find the same information for the previous versions here. Basic expressions The most basic expressions are recognized by default by Wiris Quizzes' evaluation engine. Below you can see a list of them. Supported basic expressions Sums Substractions Products Divisions Fractions Exponents Roots Decimal points Periodic decimal numbers Absolute values Plus-Minus symbol Factorials Infinity Thousands separator It's also possible to combine them into a single expression and it will also be recognized. Constants Several constants are defined in Wiris Quizzes by default and the students can use them in their answers. Below you can see a list of them. Supported constants Number Imaginary Imaginary Custom constants (defined in the question algorithm) To do so, you need the select the corresponding constants in Input options > Input syntax. If you want to define a custom constant (for example ), you just have to create a variable in CalcMe by clicking Define a new constant and check it in the same panel. Functions Wiris Quizzes' engine also recognizes a wide range of functions and its equivalences. Below you can see a list of them. Supported functions Exponentials Logarithms Hyperbolic functions Trigonometric functions Inverse functions Arithmetic functions It's also possible to combine different function types into the same answer and the system will take into account all its properties. Equations and inequations With Wiris Quizzes is possible to interpret the set of solutions of an equation and check if it's the same as the one defined by the correct answer. To do so, you need to check Equivalent equations in Validation options > Comparison with the student answer. Besides, you can also create questions involving univariate o multivariate inequations and the validation system will take into account the generated set of solutions. If you want to see more information about Equivalent equations, see its dedicated page. Intervals Students can also use intervals in answers and the system will understand them as their equivalent inequality to compare it with the correct answer. Let , the following intervals are supported. Supported intervals Interval type Expression Open Open-close Close-open Close Besides, you can also allow students to answer either intervals or inequations. If you want to see more information regarding how to create questions with intervals, see its dedicated page. Logic and sets Furthermore, Wiris Quizzes also understand logic expressions as true and false values, the logical and or or symbols (), set constants... Below you can see all the supported logic and sets notations. Supported logic and sets expressions true and false values Logical and Logical or Chain of inequalities Sequences of elements Set constants: naturals, integers... Empty set Set union Set intersection Set subtraction Thus, it's possible to combine the intervals or inequations previously analyzed in single answers. Vectors and matrices The mathematical evaluation engine also recognizes vectors and matrices. You have to take into account parenthesis notation () is understood for points (or intervals if enabled) and square brackets [] for vectors. For instance, it's possible to answer with a matrix or a sum, subtraction or product of several of them. Besides, using a grading function, you can accept proportional vectors, for example. Mixed fractions Another accepted syntax is those involving mixed fractions. To do so, you need to select the corresponding check box in Input options > Allowed constructions. Ratios Similarly, we can define answers like to be interpreted as ratios. To do so, you need to select the corresponding check box in Input options > Allowed constructions. Units and currencies Finally, as Wiris Quizzes understands units of measurement, it's also appropriate for physics, chemistry, biology, economics, and more. To do so, it understands a wide range of units of measurement and currencies besides their equivalences. You need to enable this option in Validation options > Units of measure You can see a complete list here. Table of Contents Basic expressions Constants Functions Equations and inequations Intervals Logic and sets Vectors and matrices Mixed fractions Ratios Units and currencies