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Distinguishing line thichness in "mfrac" display

<m:math display="block"> <m:mi> x </m:mi> <m:mo> = </m:mo> <m:mfrac linethickness="thick"> <m:mrow> <m:mn> 1 </m:mn> <m:mo> + </m:mo> <m:mfrac linethickness="medium"> <m:mn> 3 </m:mn> <m:mn> 10 </m:mn> </m:mfrac> </m:mrow> <m:mrow> <m:mfrac> <m:mn> 2 </m:mn> <m:mn> 7 </m:mn> </m:mfrac> <m:mo> + </m:mo> <m:mfrac> <m:mrow> <m:mfrac linethickness="medium"> <m:mn> 8 </m:mn> <m:mn> 11 </m:mn> </m:mfrac> </m:mrow> <m:mn> 5 </m:mn> </m:mfrac> </m:mrow> </m:mfrac> </m:math>

Save the file after editing as “test.xml”. The display looks like :

x = 1 + 3 10 2 7 + 8 11 5

Bevelled fraction and the alignment of rows

    Attribute value types

  • numalign (default = center) : left | center | right
  • denomalign (default = center) : left | center | right
  • bevelled (default = false) : true | false

The “numalign” and “demoalign” affects alignment of numerator and denominator with respect to the bar. In most of the case, we do not change the default “center” element as this is the manner in which expressions are written in mathematics.

The “bevelled” attribute provides an alternate form for rendering fraction. In beveled form, the bar is a slant line, in stead of a horizontal line. This form is useful, when we want to include fraction inside the text as its default form takes more vertical space than that of the text, disturbing line spacing between text lines. More significantly, this reduces vertical space of an intensively nested expression.

Bevelled "mfrac" display

<m:math display="block"> <m:mi> x </m:mi> <m:mo> = </m:mo> <m:mfrac bevelled="true" linethickness="thick"> <m:mrow> <m:mn> 1 </m:mn> <m:mo> + </m:mo> <m:mfrac linethickness="medium"> <m:mn> 3 </m:mn> <m:mn> 10 </m:mn> </m:mfrac> </m:mrow> <m:mrow> <m:mfrac> <m:mn> 2 </m:mn> <m:mn> 7 </m:mn> </m:mfrac> <m:mo> + </m:mo> <m:mfrac> <m:mrow> <m:mfrac bevelled="true" linethickness="medium"> <m:mn> 8 </m:mn> <m:mn> 11 </m:mn> </m:mfrac> </m:mrow> <m:mn> 5 </m:mn> </m:mfrac> </m:mrow> </m:mfrac> </m:math>

Save the file after editing as “test.xml”. The display looks like :

x = 1 + 3 10 2 7 + 8 11 5

Radical layout elements

The “msqrt” and “mroot” are radical elements. The “msqrt” element renders square root, while “mroot” element represents indices with a base and index.

"msqrt" layout element

The “msqrt” element accepts zero or one argument. Its syntax is :

<msqrt> base </msqrt>

When there are more than one child elements, then they are considered to be enclosed within “mrow” tags. This means that the “msqrt” element draws an inferred implementation of “mrow”. This saves us from coding “mrow” tags explicitly, irrespective of numbers of arguments.

Square root element : msqrt

<m:math display="block"> <m:msqrt> <m:mi>x</m:mi> <m:mo>-</m:mo> <m:mn>3</m:mn> </m:msqrt> </m:math>

Save the file after editing as “test.xml”. The display looks like :

x - 3

Like other elements in MathML, “msqrt” element supports nesting to enclose square root recursively.

Nested square

<m:math display="block"> <m:msqrt> <m:mi>{</m:mi> <m:mi>x</m:mi> <m:mi>+</m:mi> <m:msqrt> <m:mi>(</m:mi> <m:mi>x</m:mi> <m:mi>+</m:mi> <m:mi>10</m:mi> <m:mi>)</m:mi> </m:msqrt> <m:mi>}</m:mi> </m:msqrt> </m:math>

Save the file after editing as “test.xml”. The display looks like :

{ x + ( x + 10 ) }

"mroot" layout element

The “mroot” element requires exactly two arguments – the first one as the base and second as index. The syntax of the element is :

<m:mroot> base index </m:mroot>

Each of these arguments may be combination of elements, which must be grouped separately with the help of “mrow” element in two distinct groups.

Indices element : mroot

<m:math display="block"> <m:mroot> <m:mrow> <m:mi>x</m:mi> <m:mo>-</m:mo> <m:mn>3</m:mn> </m:mrow> <m:mfrac> <m:mi>x</m:mi> <m:mn>2</m:mn> </m:mfrac> </m:mroot> </m:math>

Save the file after editing as “test.xml”. The display looks like :

x - 3 x 2

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Source:  OpenStax, A primer in mathml. OpenStax CNX. Apr 19, 2006 Download for free at http://cnx.org/content/col10345/1.16
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