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The point of specialized token construct is visually made through yet another example given belwo. Two simultaneous examples are implemented, using an entity reference “&RightArrow;” . Note the impact of using “mover” element on the character reference “&RightArrow;” . Compare the two outputs. Though the lay out of the arrow and text has not changed, but the arrow is stretched to accommodate the length of the text !

Modified rendering

<m:math display="block"> <m:mrow> <m:mi> x </m:mi> <m:mo> &RightArrow; </m:mo> <m:mtext> maps to </m:mtext> <m:mi> y </m:mi> </m:mrow> </m:math> <m:math display="block"> <m:mrow> <m:mi> x </m:mi> <m:mover> <m:mo> &RightArrow; </m:mo> <m:mtext> maps to </m:mtext> </m:mover> <m:mi> y </m:mi> </m:mrow> </m:math>

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

x maps to y x maps to y

"mi" token element

The “mi” element is used to display mathematical identifiers. Identifiers in MathML include literals, constants, name of the angle, trigonometric function etc. The example, here, displays both single and multi character identifiers.

Display with mi element

<m:math display="block"> <m:mtext>I is displayed as : </m:mtext> <m:mi> I </m:mi> <m:mtext>&nbsp;&nbsp;and trigonometric sine function is displayed as : </m:mtext> <m:mi> sin </m:mi> <m:mi> θ </m:mi> </m:math>

Save the file after editing as “test3.xml”. The display looks like :

I is displayed as : I and trigonometric sine function is displayed as : sin θ

Here "&nbsp;" has been used to create two spaces to improve readability.

Note that default rendering of a single character by "mi" element is italic – as against "normal". Multiple characters are, however, displayed as normal. It means that if we want to have a normal display, then we would require to override the default behavior of the ‘mi” element and specify normal display, using “mathvariant” attribute as demonstrated in the example below.

Display with mi element

<m:math display="block"> <m:mtext>Normal I is :&nbsp;&nbsp;</m:mtext> <m:mi mathvariant='normal'> I </m:mi> </m:math>

Save the file after editing as “test3.xml”. The display looks like :

Normal I is : I

The presentation style of a single character in italic form is not without any reason. This suggests that we might be using single character mostly in italic form for mathematical display. In any case, if you differ, you can change the same to normal.

The “mi” element renders character or sequence of characters without any surrounding space. This element together with other character rendering elements (“mn” and “mo”) forms the building blocks of mathematical display, using MathML. It must also be observed that “mi” implements common attributes available for the token element and does not implement additional attributes or attributes specific to the element.

"mn" token element

The “mn” element is a flexible constructor to display unsigned real numbers of various types and formats, including decimals or combination of characters, which convey real number. In the scheme of the rendering of mathematical content under MathML environment, it is preferred to keep sign as an operator and its rendering with "mo" element. This approach is consistent with spacing (inter elements) requirement of operator display.

Display of real numbers

<m:math display="block"> <m:mtext>Forty: </m:mtext> <m:mn> Forty ;</m:mn> <m:mtext>10 : </m:mtext><m:mn> 10 ; &nbsp;</m:mn> <m:mtext>4.23: </m:mtext> <m:mn> 4.23 ; &nbsp;</m:mn> <m:mtext>1,000: </m:mtext> <m:mn> 1,000 ; &nbsp;</m:mn> <m:mtext>0.1e10: </m:mtext> <m:mn> 0.1e10 ; &nbsp;</m:mn> <m:mtext>CX: </m:mtext> <m:mn> CX ; &nbsp;</m:mn> </m:math>

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

Forty: Forty ; 10 : 10 ; 4.23: 4.23 ; 1,000: 1,000 ; 0.1e10: 0.1e10 ; CX: CX ;

Note that default rendering style of the characters are “normal” and as such, we do not need to use “mathvariant” attribute to set the display normal. The “mn” element, however, is not suitable for all kinds of numbers. For example, following constants are displayed using “mi” element : <mi> &pi; </mi> <mi> &ImaginaryI; </mi> <mi> &ExponentialE; </mi>

Numbers displayed by mi element

<m:math display="block"> <m:mtext>Complex number : &ThinSpace;</m:mtext> <m:mn> 1 </m:mn> <m:mo> + </m:mo> <m:mn> 2 </m:mn> <m:mo> &InvisibleTimes; </m:mo> <m:mi> &ImaginaryI;</m:mi> </m:math>

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

Complex number :   1 + 2

A ratio, on the other hand, is presented with the help of “mfrac” element. See the example code for displaying a ratio of the form (p/q) :

Numbers not displayed by “mfrac” element

<m:math display="block"> <m:mtext>Ratio is :</m:mtext> <m:mfrac> <m:mn> 22 </m:mn> <m:mn> 7 </m:mn> </m:mfrac><m:mi> ; </m:mi> </m:math>

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

Ratio is : 22 7 ;

Questions & Answers

differentiate between demand and supply giving examples
Lambiv Reply
differentiated between demand and supply using examples
Lambiv
what is labour ?
Lambiv
how will I do?
Venny Reply
how is the graph works?I don't fully understand
Rezat Reply
information
Eliyee
devaluation
Eliyee
t
WARKISA
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Lambiv
multiple choice question
Aster Reply
appreciation
Eliyee
explain perfect market
Lindiwe Reply
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
What is ceteris paribus?
Shukri Reply
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline. Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
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Shukri
Can I ask you other question?
Shukri
what is monopoly mean?
Habtamu Reply
What is different between quantity demand and demand?
Shukri Reply
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
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Shukri
how do you save a country economic situation when it's falling apart
Lilia Reply
what is the difference between economic growth and development
Fiker Reply
Economic growth as an increase in the production and consumption of goods and services within an economy.but Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
Abdisa Reply
any question about economics?
Awais Reply
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
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Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50. A,Calculate quantities of x and y which maximize utility. B,Calculate value of Lagrange multiplier. C,Calculate quantities of X and Y consumed with a given price. D,alculate optimum level of output .
Feyisa Reply
Answer
Feyisa
c
Jabir
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
Gsbwnw Reply
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
types of unemployment
Yomi Reply
What is the difference between perfect competition and monopolistic competition?
Mohammed
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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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