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MathML Test Suite

Module by: Adan Galvan

Summary: Test suite for Mathml in the Connexions system.

Note: Your browser may not currently support MathML. See our browser support page for additional details. You can always view the correct math in the PDF version.

CNXML Tests

This module is a test suite for many MathML functions.

Entity Tests

  • A script:
  • B script:
  • C script:
  • D script:
  • E script:
  • F script:
  • G script:
  • H script:
  • I script:
  • J script:
  • K script:
  • L script:
  • M script:
  • N script:
  • O script:
  • P script:
  • Q script:
  • R script:
  • S script: 
  • T script:
  • U script:
  • V script:
  • W script:
  • X script:
  • Y script:
  • Z script:
  • Section Symbol: §

Greek Characters

  • Alpha: Αα
  • Beta: Ββ
  • Gamma: Γγ
  • Delta: Δδ
  • Epsilon: Εε
  • Zeta: Ζζ
  • Eta: Ηη
  • Theta: Θθ
  • Iota: Ιι
  • Kappa: Κκ
  • Lambda: Λλ
  • Mu: Μμ
  • Nu: Νν
  • Xi: Ξξ
  • Omicron: Οο
  • Pi: Ππ
  • Rho: Ρρ
  • Sigma: Σσς
  • Tau: Ττ
  • Upsilon: Υυ
  • Phi: Φφ
  • Chi: Χχ
  • Psi: Ψψ
  • Omega: Ωω

Accents and diacritial marks

  • alpha with accent and unvoiced aspiation mark: ά̓
  • epsilon with accent: έ
  • eta with a little hat (inverted breve): η̑
  • eta with accent: ή
  • eta with accent and voiced aspiration mark*: ή̔
  • alpha with unvoiced aspiration mark*: ἀ
  • iota with little hat*: ι̑
  • epsilon with aspiration: ἐ
  • omega with accent: ό
  • final sigma: ς
  • iota with aspiration*: ἰ
  • omega with aspiraction*: ὀ
  • iota with diaresis: ϊ
  • e with capon: ě

Presentation MathML accents

  • mover: right-arrow: F F
  • mover: double dot (diaresis): x ¨ x ¨
  • mover: single dot: x ˙ x ˙

Spanish Characters

  • aacute: á
  • eacute: é
  • iacute: í
  • oacute: ó
  • uacute: ú
  • N tilde: ñ
  • upside down exclamation: ¡

Math Symbols

·· 𝔼𝔼 𝔽𝔽

MathML Elements

Presentation MathML

Msub

X Y X Y (1)

Msub

X A + B X A + B (2)

Content MathML

Token Elements

ci
X X (3)
ci type='vector'
W W (4)
ci type='vector' with subscript
Xy X y (5)
Cn with subscript
1 0 1 0 (6)
Omega with Over
ω c ˜ 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
φt φ t (11)
Function with Subscript
s t 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 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 Prob1p 0 p 1 1 p (20)
Mutual Information
x;y x y (21)
Distance
xy x y (22)
Normal Distribution
0y 0 y (23)
Distributed In
r0σ2 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 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+32-3 23 2-3 (68)
Apply
AB A B (69)
Composition
xy(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+Gx 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|ab} D V T a b X (82)
Max with domainofapplication and condition and multiple bvars
maxDV,T{X|ab} 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
ab 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
ac a c (93)
Or
ac a c (94)
Not Test
W W (95)
XOR test
ab a b (96)
XOR test 2
Hab H a b (97)
k,l k l (98)
Forall test
x,x012x:y=2x+3 x x 0 1 2 x y 2 x 3 (99)

This is a test of the above as inline math: x,x012x:y=2x+3 x x 0 1 2 x y 2 x 3

Forall x, x
x:x x x (100)
Forall x,(x) and y
x:xy x x y (101)
Forall x,(x and y)
x:xy x x y (102)
x and y or z : or(and(x,y),z)
xyz x y z (103)
x and (y or z): and(x,or(y,z))
x(yz) 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
x x (109)

Calculus and Vector Calculus

Int
ydx x y (110)
Int
abdx x a b (111)
Int with domain of application and nothing else
dx 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
ut u t (119)
Partial Diff
4xf x 4 f (120)
Partial Diff with multiple bvar
2x 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 x (127)

Theory of Sets

Set
012 0 1 2 (128)
Proper Subset
XY 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=0xx3 x 0 x x 3 (133)
Sum with Domainofapplication and Condition
n n m xx3 x x n n m x 3 (134)
Product with Limits and Condition
x=0xx3 x 0 x x 3 (135)
Product with Domainofapplication and Condition
n n m xx3 x x n n m x 3 (136)
Product Times Test
wi=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 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
(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
xy x y (150)
Applying a ci with an mo in it
xyz x y z (151)
Laplace in ci
x x (152)
Fourier Transform in ci
x x (153)
Apply ci to apply
a+b a b (154)
Applying a ci with an mo in it
x x (155)

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