Content elements: partialdiff to prsubset

(Excerpt from "The MathML Handbook" by Pavi Sandhu)

partialdiff

Syntax

<apply>
  <partialdiff />(<bvar> ... </bvar>)* (<degree> ... </degree>)*
  <apply>function (<ci> var </ci>)*</apply>
</apply>

Description

The partialdiff element represents the operation of taking a partial derivative. Each variables of differentiation is specified using a bvar element. The order of differentiation with respect to each variable is specified using a degree element.

Attributes

This element accepts the attributes definitionURL and encoding.

pi

Syntax

<pi />

Description

The pi element represents the numerical constant π (approx. 3.14159), the ratio of the circumference of a circle to its diameter.

Attributes

This element accepts the attributes definitionURL and encoding.

piece

Syntax

<piece>definition domain</piece>

Description

The piece element represents a specific part of a piecewise declaration. It always occurs as a child element of a piecewise element.

Attributes

This element accepts the attributes definitionURL and encoding.

piecewise

Syntax

<piecewise>(<piece>) + <otherwise></apply>

Description

The piecewise element, in association with the piece and otherwise elements, represents piecewise declarations of the form piecewise declaration if piecewise declaration, piecewise declaration if piecewise declaration.

Attributes

This element accepts the attributes definitionURL and encoding.

plus

Syntax

<apply><plus /> ...</apply>

Description

The plus element represents addition. It can take any number of arguments. By default, the addition is assumed to be over a scalar field, but the default semantics of the element can be modified using attributes, for example, to represent vector addition.

Attributes

This element accepts the attributes definitionURL and encoding. In addition, it accepts the attribute shown in the following table.

Table: Attribute of plus.

Name Values Default
type MathML type real

The type attribute specifies the type of the operand(s).

power

Syntax

<apply><power /> base exponent</apply>

Description

The power element represents the operation of raising a number or expression to a power. It must have two arguments.

Attributes

This element accepts the attributes definitionURL and encoding.

primes

Syntax

<primes />

Description

The primes element represents the set of all prime numbers, typically denoted by P.

Attributes

This element accepts the attributes definitionURL and encoding.

product

Syntax

<apply><product /> index limits expression</apply>

Description

The product element represents the product operator. Each index of the product is specified using a single bvar element. The limits of the product can be indicated in several different ways: by using a pair of lowlimit and uplimit elements or by using a condition element.

Attributes

This element accepts the attributes definitionURL and encoding.

prsubset

Syntax

<apply><prsubset /> subset set</apply>

Description

The prsubset element represents the relation that one set is a proper subset of another set.

Attributes

This element accepts the attributes definitionURL and encoding.

   

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