MathML Test Suite

Example 1:	$\frac{\sqrt{\frac{1}{2}}}{\sqrt{{f (x + y)}^{2}}} \frac{\sqrt{1}}{2} 〈 ℝ 〉$	Example 2:		(Hide examples)

Token Elements

ci

X

(3)

ci type='vector'

W

(4)

ci type='vector' with subscript

Xy

X y

(5)

Cn with subscript

1 0

(6)

Omega with Over

ω c ˜

(7)

Function

xt

x t

(8)

Fn deprecated

f + g z

f g z

(9)

Function of Power

fx2t

f x t 2

(10)

Function Diff

φ′t

φ t

(11)

Function with Subscript

ℛ s t

(12)

Function with Subsup and Power

x 0 n zt

x 0 n t z

(13)

Function with Power and Two Variables

xαz+yw+q

x z y w q α

(14)

Discrete Function

xt

x t

(15)

Discrete Function with Subscript

x c t

(16)

Csymbol Tests

Adjoint

XH

X

(17)

Adjoint

x+yH

x y

(18)

Directional diff

∇yx

y x

(19)

Stochastic Process

0 Probp 1 Prob1−p

0 p 1 1 p

(20)

Mutual Information

ℐx;y

x y

(21)

Distance

x∥y

x y

(22)

Normal Distribution

0y

0 y

(23)

Distributed In

r∼0σ2

r 0 σ 2

(24)

Estimate

x ̂

x

(25)

Estimate

x̂y

xy

(26)

Estimate with msub

x̂2

x2

(27)

Estimate with msub

x̂2

x2

(28)

Estimate with complex msub

x̂abc

xabc

(29)

Estimate

x̂y+X

xy+X

(30)

CDF

Cr

C r

(31)

CDF wit condition

Cr|θ

C θ r

(32)

CDF with multiple conditions

Cr|θβ

C θ β r

(33)

CDF with multiple conditions and bvar

Cx|θβr

C x θ β r

(34)

PDF

Pa xr

Pa x r

(35)

PDF with condition

Px|θr

P x θ r

(36)

PDF with multiple conditions

Px|θβr

P x θ β r

(37)

PDF multiple arguments with condition

Pxy|θrs

P x y θ r s

(38)

Estimate of Function

Px ̂

P x

(39)

Estimate of Function

P ̂x

P x

(40)

Expected Value

Ex

x

(41)

Expected Value w/bvar and condition

Ex θ ̂ MMSE |θ

x θ θ ̂ MMSE

(42)

Expected Value w condition

E θ ̂ MMSE |θ

θ θ ̂ MMSE

(43)

Expected Value multiple conditions

E θ ̂ MMSE |θωφ

θ ω φ θ ̂ MMSE

(44)

Probability

PrX

X

(45)

Probability with multiple arguments

PrXY

X Y

(46)

Complement

xy′

x y

(47)

Probability with Condition

PrX|X∈ℝ

X X

(48)

argmin

argminX

X

(49)

Argmin with Condition

argminCX

C X

(50)

Argmin with domainofapplication

argminDX

D X

(51)

argmax

argmaxX

X

(52)

Argmax with condition

argmaxCX

C X

(53)

Argmax with domainofapplication

argmaxCX

C X

(54)

Convolution

X*Y

X Y

(55)

Probability

PrAB

A B

(56)

Evaluateat with interval

Fx|12

1 2 F x

(57)

Evaluate with bvar and interval

Fx|t=12

t 1 2 F x

(58)

Evaluateat with condition

Fx| z

z F x

(59)

Evaluateat with multiple conditions

Fx| z , a

z a F x

(60)

Evaluate with bvar and condition

Fx|t,t=y

t y F x

(61)

Evaluate with lowlimit/uplimit

Fx|zx

z x F x

(62)

Evaluate with bvar and lowlimit/uplimit

Fx|t=yt

t y t F x

(63)

Surface Integral with bvar and domainofapplication

∮SXdx

x S X

(64)

Surface Intgral with bvar and condition

∮SXdx

x S X

(65)

Surface Integral with bvar and lowlimit/uplimit

∮13Xdx

x 1 3 X

(66)

Surface Integral with bvar

∮Xdx

x X

(67)

Basic Content Elements

Mult. Complex Cartesians

2+3ⅈ2-3ⅈ

23 2-3

(68)

Apply

AB

A B

(69)

Composition

x∘y(z)

x y z

(70)

Inverse of a Function

u-1t

u t

(71)

Apply/Apply/Plus

F+Gx

F G x

(72)

Apply/Apply/Diff

u ′t

u t

(73)

Apply/Apply/Diff/Apply/Plus

F+G′x

1 F G x

(74)

Apply/Apply/Power

x22

x 2 2

(75)

Apply/Apply/Inverse

u-1t

u t

(76)

Arithmatic Algebra and Logic

Max

max{ a b }

a b

(77)

Min

min{ a b }

a b

(78)

min

min{X}

X

(79)

Min with Condition

min{X|C}

C X

(80)

Min with domainofapplication

minD{X}

D X

(81)

Min with domainofapplication and condition and multiple bvars

minDV,T{X|a∈b}

D V T a b X

(82)

Max with domainofapplication and condition and multiple bvars

maxDV,T{X|a∈b}

D V T a b X

(83)

Max with Condition

max{X|C}

C X

(84)

Max with domainofapplication

maxD{X}

D X

(85)

Infimum with bvar and condition

infx{ x 2 | x ∉ B }

x x B x 2

(86)

Minus

a−b

a b

(87)

Quotient

integer part ofa/b

a b

(88)

Times

xy

x y

(89)

Power Test

-1bn

1 b n

(90)

Power of a Function

S02n

S0 n 2

(91)

Power of a Discrete Function

x2t

x t 2

(92)

And

a∧c

a c

(93)

Or

a∨c

a c

(94)

Not Test

W

(95)

XOR test

a⊕b

a b

(96)

XOR test 2

Ha⊕b

H a b

(97)

∀k,l

k l

(98)

Forall test

∀x,x∈012x∈ℤ:y=2x+3

x x 0 1 2 x ℤ y 2 x 3

(99)

This is a test of the above as inline math: ∀x,x∈012x∈ℤ:y=2x+3 x x 0 1 2 x ℤ y 2 x 3

Forall x, x

∀x:x

x x

(100)

Forall x,(x) and y

∀x:x∧y

x x y

(101)

Forall x,(x and y)

∀x:x∧y

x x y

(102)

x and y or z : or(and(x,y),z)

x∧y∨z

x y z

(103)

x and (y or z): and(x,or(y,z))

x∧(y∨z)

x y z

(104)

Conjugate Test

x¯

x

(105)

Remainder

amodb

a b

(106)

Relations

Equals

a=b

a b

(107)

Equals with Line Breaking

a=b=c=d

a b c d

(108)

Real

ℜx

x

(109)

Calculus and Vector Calculus

Int

∫ydx

x y

(110)

Int

∫a−bdx

x a b

(111)

Int with domain of application and nothing else

∫ℝdx

x

(112)

Diff

f ′

f

(113)

Diff of Sum

f +g ′

f g

(114)

Diff with degree

u5

5 u

(115)

fy

y f

(116)

Diff with bvar

dd x f x

x f x

(117)

diff with bvar and bvar/degree

d2d x 2 f x

x 2 f x

(118)

Diff of a Function

u′t

u t

(119)

Partial Diff

∂4∂xf

x 4 f

(120)

Partial Diff with multiple bvar

∂2∂x ∂yfxy

x y f x y

(121)

Partial Diff with Degree

∂2f

2 f

(122)

Partial Diff with Degree

∂2fx

2 f x

(123)

Grad Test

gradT

T

(124)

Curl Test

curlR

R

(125)

Norm Test

∥x∥

x

(126)

Norm Test with Domain of Application

∥x∥ℤ

x

(127)

Theory of Sets

Set

012

0 1 2

(128)

Proper Subset

X⊂Y

X Y

(129)

Sequences and Series

Sum with nothing

∑x

x

(130)

Sum with Bvar

∑x

x x

(131)

Sum with Mulitple Bvar

∑x

x y x

(132)

Sum with Limits and Condition

∑x=0x∈ℝ∞x3

x 0 x x 3

(133)

Sum with Domainofapplication and Condition

∑n… n m x∈ℝx3

x x n … n m x 3

(134)

Product with Limits and Condition

∏x=0x∈ℝ∞x3

x 0 x x 3

(135)

Product with Domainofapplication and Condition

∏n… n m x∈ℝx3

x x n … n m x 3

(136)

Product Times Test

∑w∏i=12x

j w i 1 2 x

(137)

Elementary Classical Functions

Sin

sinx

x

(138)

Statistics

Mean Test

〈m,n,o〉

m n o

(139)

Mean Times Test

X¯Y¯

X Y

(140)

Moment

〈x3〉

3 p x

(141)

Linear Algera

Selector

x-1i

x i

(142)

Vector Entity Test

π

(143)

Vector Product Test

C×D

C D

(144)

Scalar Product Test

<A,B>

A B

(145)

Outer Product Test

V.X

V X

(146)

Semantic Mapping Elements

Annotation

(147)

Constant and Symbol Elements

Integers

ℤ

(148)

Other MathML Tests

Applying an m:ci to a single m:ci

∠xt

∠ x t

(149)

Applying a ci with an mo in it

x≫y

≫ x y

(150)

Applying a ci with an mo in it

x≫y≫z

≫ x y z

(151)

Laplace in ci

ℒx

ℒ x

(152)

Fourier Transform in ci

ℱx

ℱ x

(153)

Apply ci to apply

∠a+b

∠ a b

(154)

Applying a ci with an mo in it

≫x

≫ x

(155)

Connexions

Navigation

Content Actions

Definition of a lens

Lenses

What is in a lens?

Who can create a lens?

What are tags?

Rating system

Ratings

How to rate a module

Related material

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Entity Tests

Greek Characters

Accents and diacritial marks

Presentation MathML accents

Spanish Characters

Math Symbols

MathML Elements

Presentation MathML

Msub

Msub

Content MathML

Token Elements

ci

ci type='vector'

ci type='vector' with subscript

Cn with subscript

Omega with Over

Function

Fn deprecated

Function of Power

Function Diff

Function with Subscript

Function with Subsup and Power

Function with Power and Two Variables

Discrete Function

Discrete Function with Subscript

Csymbol Tests

Adjoint

Adjoint

Directional diff

Stochastic Process

Mutual Information

Distance

Normal Distribution

Distributed In

Estimate

Estimate

Estimate with msub

Estimate with msub

Estimate with complex msub

Estimate

CDF

CDF wit condition

CDF with multiple conditions

CDF with multiple conditions and bvar

PDF

PDF with condition

PDF with multiple conditions

PDF multiple arguments with condition

Estimate of Function

Estimate of Function

Expected Value

Expected Value w/bvar and condition

Expected Value w condition

Expected Value multiple conditions

Probability

Probability with multiple arguments

Complement

Probability with Condition

argmin

Argmin with Condition

Argmin with domainofapplication

argmax

Argmax with condition