MathCAT English Test Expressions

MathML expressions from tests/Languages/en (excluding ClearSpeak).

Table of Contents

alphabets (99 expressions)
chemistry (18 expressions)
definitions (6 expressions)
intent (13 expressions)
mtable (49 expressions)
shared (36 expressions)
functions (35 expressions)
geometry (4 expressions)
large_ops (17 expressions)
linear_algebra (9 expressions)
mfrac (24 expressions)
msup (22 expressions)
multiline (2 expressions)
sets (23 expressions)
subscripts (7 expressions)
units (17 expressions)

alphabets

ℌ, ℭ

ℍ, ℿ

ℐ, ℳ

Α, Ω

α, ω

, 

α, ω

А, Я

⒜, ⒵

Ⓐ, Ⓩ

🅐, 🅩

ⓐ, ⓩ

𝔄, 𝔜

𝔞, 𝔷

, 

, 

𝕬, 𝖅

𝖆, 𝖟

, 

, 

𝔸, 𝕐

𝕒, 𝕫

𝟘, 𝟡

, 

, 

, 

𝒜, 𝒵

𝒶, 𝓏

, 

, 

𝓐, 𝓩

𝓪, 𝔃

, 

, 

𝐀, 𝐙

𝐚, 𝐳

, 

, 

𝐴, 𝑍

𝑎, 𝑧

, 

, 

𝖠, 𝖹

𝖺, 𝗓

, 

, 

𝗔, 𝗭

𝗮, 𝘇

, 

, 

𝘈, 𝘡

𝘢, 𝘻

, 

, 

𝘼, 𝙕

𝙖, 𝙯

, 

, 

𝙰, 𝚉

𝚊, 𝚣

, 

, 

𝚨, 𝛀

𝛂, 𝛚

, 

, 

𝛛, 𝛡

, 

𝛢, 𝛺

𝛼, 𝜔

, 

, 

𝜕, 𝜛

, 

𝜜, 𝜴

𝜶, 𝝎

, 

, 

𝝏, 𝝕

, 

𝝖, 𝝮

𝝰, 𝞈

, 

, 

𝞉, 𝞏

, 

𝞐, 𝞨

𝞪, 𝟂

, 

, 

𝟃, 𝟉

, 

, 

Ⅎ, ⅄

①, ⑨

❶, ㊿

⑴, ⑼

⒈, ⒐

⓵, ⓽

chemistry

Na Cl

H_{2} O

C

{[S O_{4}]}^{2 -}

{Al}_{2} {(S O_{4})}_{3}

C H_{3} - C H_{2} - O H

{[Cl O_{2}]}^{+} {[Cl O_{4}]}^{-}

H_{2} C = C H_{2}

Fe {Cl}_{3} (aq)

H_{2} C :: C H_{2}

{}_{6}^{14}C \to {}_{7}^{14}N + {}_{- 1}^{0}e

_{}^{}_{6}^{14} C ⟶_{}^{}_{7}^{14} N +_{}^{}_{- 1}^{0} e

2 H Cl + 2 Na \to 2 Na Cl + H_{2}

SO_{4}^{2 +}

2 HCl (aq) + 2 Na (s) ⟶ 2 NaCl (aq) + H_{2} (g)

H_{2}, (g) + I_{2}, (g) \overset{- ⇀}{↽ -} 2 H, I, (g)

{Fe}^{II}, {Fe}^{III}, O_{4}

2 {SO}_{2}^{} + O_{2}^{} \overset{- ⇀}{↽ -} 2 {SO}_{3}^{}

definitions

x y

x y

R

i

x

A ∖ B

intent

2 x

x^{T}

x^{T}

x y z

x

x

x y z

x

x

2 x

H^{2}

H^{2}

x^{P}

mtable

(\begin{matrix} 3 \end{matrix})

| \begin{matrix} 3 \end{matrix} |

(\begin{matrix} 3 & 5 \end{matrix})

(\begin{matrix} - x & 5 & 12 \end{matrix})

(\begin{matrix} x + 1 \\ x - 1 \end{matrix})

(\begin{matrix} x \\ a \\ \frac{x}{x + 1} \end{matrix})

| \begin{matrix} 2 & 1 \\ 7 & 5 \end{matrix} |

[\begin{matrix} 3 & 1 & 4 \\ 0 & 2 & 6 \end{matrix}]

[\begin{matrix} 3 & 1 & 4 \\ 0 & 2 & 6 \end{matrix}]

[\begin{matrix} (3.1) & 3 & 1 & 4 \\ 0 & 2 & 6 \end{matrix}]

[\begin{matrix} 1 \\ 2 \\ 3 \end{matrix}]

(\begin{matrix} 3 \\ 6 \\ 1 \\ 2 \end{matrix})

(\begin{matrix} 3 \\ 6 \\ 1 \\ (3.1) & 2 \end{matrix})

(\begin{matrix} 3 & 6 & 1 & 2 \end{matrix})

(\begin{matrix} 0 & 3 & 4 & 3 \\ 2 & 1 & 0 & 9 \\ 3 & 0 & 2 & 1 \\ 6 & 2 & 9 & 0 \end{matrix})

(\begin{matrix} 1 & 3 \\ 4 & 2 \\ 2 & 1 \\ 0 & 5 \end{matrix})

| x |

| x + 1 |

| S |

(\begin{matrix} 2 & 1 \\ 7 & 5 \end{matrix})

(\begin{matrix} 1 \\ 2 \\ 3 \end{matrix})

[\begin{matrix} 1 & 2 \end{matrix}]

(\begin{matrix} b_{11} & b_{12} \\ b_{21} & b_{22} \end{matrix})

(\begin{matrix} 2 & 1 \\ 7 & 5 \end{matrix})

(\begin{matrix} 1 \\ 2 \\ 3 \end{matrix})

[\begin{matrix} 1 & 2 \end{matrix}]

(\begin{matrix} b_{11} & b_{12} \\ b_{21} & b_{22} \end{matrix})

(\begin{matrix} 2 & 1 \\ 7 & 5 \end{matrix})

(\begin{matrix} 1 \\ 2 \\ 3 \end{matrix})

[\begin{matrix} 1 & 2 \end{matrix}]

(\begin{matrix} b_{11} & b_{12} \\ b_{21} & b_{22} \end{matrix})

[\begin{array}{rrrr} 1 & 2 & - 1 & 3 \\ - 3 & 3 & - 1 & 2 \\ 2 & 3 & 2 & - 1 \end{array}]

(\begin{matrix} 2 & 1 \\ 7 & 5 \end{matrix})

(\begin{matrix} 1 \\ 2 \\ 3 \end{matrix})

[\begin{matrix} 1 & 2 \end{matrix}]

(\begin{matrix} b_{11} & b_{12} \\ b_{21} & b_{22} \end{matrix})

(\begin{matrix} 2 & 1 \\ 7 & 5 \end{matrix})

(\begin{matrix} 1 \\ 2 \\ 3 \end{matrix})

[\begin{matrix} 1 & 2 \end{matrix}]

(\begin{matrix} b_{11} & b_{12} \\ b_{21} & b_{22} \end{matrix})

(\begin{matrix} 3 \\ 2 \end{matrix})

(\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}) (\begin{matrix} a & b \\ c & d \end{matrix})

\begin{matrix} a & = & b + c - d \\ + e - f \end{matrix}

[\begin{matrix} 0 & 0 \\ 0 & 0 \end{matrix}]

(\begin{matrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{matrix})

[\begin{matrix} 1 & 0 \\ 0 & -1 \end{matrix}]

[\begin{matrix} 1 & 0 \\ 0 & 0 \end{matrix}]

(\begin{matrix} 2 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & x^{2} \end{matrix})

\begin{matrix} (2) & 𝑏 = 2 \end{matrix}

shared

\overset{`}{a} \tilde{b} \overset{̆}{c} \overset{̌}{b} \overset{`}{c} + \overset{ˇ}{r} + \dot{x} \dot{y} \ddot{z} \overset{⃛}{u} \overset{⃜}{v} + \hat{x} + \vec{t}

lim_{x \to 0} \frac{\sin x}{x}

lim_{x ↗ 0} \sin x

{}_{n}C_{m}

{}^{n}C_{m}

C_{n, m}

{}_{n}P_{k}

{}^{n}P_{k}

P_{k}^{n}

R_{i}^{j}_{k}_{l}

{}_{I}^{J}_{K}_{L}R_{i}^{j}_{k}_{l}_{m}

x^{'}

P (A | B)

x_{k}^{i}

i_{j - 2}^{k}

x_{k}^{i}

I = - b r + z^{I}

C + I + X

P (A and B) = P (A \cap B) = P (A) P (B) .

{2} .

ϕ (x) = c e^{- h^{2} x^{2}},

P (A ∣ B) = \frac{P (A \cap B)}{P (B)} .

[0, 2 π)

x^2 + \hat{y}

1 234 567

x = 2 𝒔𝒊𝒏 t - 1

1,234.56

\nabla \cdot F

\nabla \times F

\nabla F

\vec{A} ⊥ \vec{B}

|x \times y \cdot z / 2 + a ∥ b + x!|

f (x!)

f (x!)

\vec{A} ⊥ \vec{B}

f (x!)

functions

\sin x + \cos y + \tan z + \sec α + \csc ϕ + \cot φ

\sinh x + \cosh y + \tanh z + sech α + csch ϕ + \coth φ

\sin^{- 1} x

\sin^{2} x

\tan^{3} x

\sec^{4} x

\sinh^{n - 1} x

\log x

\log (x + y)

\log_{b} x

\log_{b} (x + y)

\ln (x + y)

\ln x

Cov x

\exp (x)

t (x)

t (x)

t x

t x

x y

2 (3)

(2) 3

\sqrt{a} \sqrt{b} = \sqrt{a b}

(25) x

b (x y)

2 + (- 2)

(- 2 x) + 1

{(2 x)}^{2}

2 + (\frac{1}{2})

((c, d))

[[(] c, d))

((c, d]]

[[(] c, d]]

(- \infty, d))

(- \infty, d]]

geometry

\overset{⌒}{B C}

\bar{X Y}

\overset{⌒}{BC}

\vec{XY}

large_ops

\sum_{n = 1}^{10} n

\sum_{S} i

\sum_{n = 1}^{10} n

\sum_{S} i

\sum a_{i}

\prod_{n = 1}^{10} n

\prod_{S} i

\prod a_{i}

⋂_{i = 1}^{10} S_{i}

⋂_{C} S_{i}

⋂ S_{i}

⋃_{i = 1}^{10} S_{i}

⋃_{C} S_{i}

⋃ S_{i}

\int_{0}^{1} f (x) d x

\int_{ℝ} f (x) d x

\int f (x) d x

linear_algebra

M^{T}

Tr M

Dim M

Hom (M)

\ker (L)

∥ f ∥

∥ x + y ∥

{∥ f ∥}_{p}

(b \cdot \nabla) a

mfrac

\frac{1}{2}

\frac{2}{3}

\frac{17}{10}

\frac{89}{10}

\frac{x + y}{x - y}

\frac{x + \frac{1}{y}}{x - y}

\frac{x + \sqrt{\frac{1}{y}}}{x - y}

\frac{x + \sqrt{2 + \frac{1}{y}}}{x - y}

\frac{x}{x - y}

\frac{x - y}{x}

62 \frac{mi}{hr}

1 \frac{gal}{mi}

\frac{3 gal}{mi}

\frac{3 m}{s^{2}}

3 \frac{1}{2}

3 \frac{1}{8}

3 \frac{7}{83}

\frac{rise}{run}

\frac{2 miles}{3 gallons}

\frac{\frac{1}{2}}{\frac{2}{3}}

2 (\binom{7}{3})

2 (\binom{n + 7}{3})

2 (\binom{7}{k + 3})

2 (\binom{n + 7}{k + 3})

msup

x^{2}

x^{3}

x^{4}

x^{n}

x^{0}

x^{2.0}

3^{y + 2}

x^{- 2}

x^{\frac{1}{3}}

3^{2 x^{2}}

3^{- 2 x^{2}}

y^{{\frac{4}{5}}^{3}}

y^{- {\frac{4}{5}}^{3}}

e^{\frac{1}{2} x^{2}}

e^{- \frac{1}{2} x^{2}}

3^{3^{10}}

3^{{(x + 1)}^{2}}

t^{{\frac{4}{5}}^{n}}

t^{{\frac{4}{5}}^{n + 1}}

t^{{\frac{4}{5}}^{- 3}}

e^{- \frac{1}{2} {(\frac{x - μ}{σ})}^{2}}

t^{\frac{b + 1}{3}}

multiline

f (x) = {\begin{matrix} - 1 if x < 0 \\ 0 if x = 0 \\ 1 if x > 0 \end{matrix}

\begin{matrix} x + y & = & 7 \\ 2 x + 3 y & = & 17 \end{matrix}

sets

ℂ

ℕ

ℚ

ℝ

ℤ

ℂ^{2}

ℕ^{2}

ℚ^{2}

ℝ^{3}

ℤ^{4}

ℤ^{+}

ℤ^{-}

ℚ^{+}

ℚ^{-}

{}

{12}

{5, 10, 15}

{x : x > 2}

{x | x > 2}

3 + 2 i \notin ℝ

\sum_{i \in ℤ} \frac{1}{i^{2}}

{x \in ℤ : 2 < x < 7}

{x \in ℕ | x is an even number}

subscripts

x_{1}

x_{1.2}

x_{1.2}^{3}

x_{i}

x_{1} 10^{2}

x_{1}^{2}

x_{1} x^{, 2}

units

Qg, Rg, Yg, Zg, Eg, Pg, Tg, Gg, Mg, kg, hg, dag, dg, cg, mg, µg, ng, pg, fg, ag, zg, yg, rg, qg

1 A, 2 A, 1 cd, 2 cd, 1 K, 2 K, 1 K, 2 K, 1 g, 2 g, 1 m, 2 m, 1 mol, 2 mol, 1 s, 2 s, 1 ″, 2 ″, 1 ", 2 ", 1 \sec, 2 \sec

1 QA, 2 RA, 1 Ycd, 2 Zcd, 1 EK, 2 PK, 1 TK, 2 GK, 1 Mg, 2 kg, 1 hm, 2 dam, 1 dmol, 2 cmol, 1 ms, 2 µs, 1 nsec, 2 psec

1 Bq, 2 Bq, 1 C, 2 C, 1 °C, 2 °C, 1 ℃, 2 ℃, 1 F, 2 F, 1 Gy, 2 Gy, 1 H, 2 H, 1 Hz, 2 Hz, 1 J, 2 J, 1 kat, 2 kat, 1 lm, 2 lm, 1 lx, 2 lx

1 QBq, 2 RBq, 1 YC, 2 ZC, 1 EF, 2 PF, 1 TGy, 2 GGy, 1 MH, 2 kH, 1 daHz, 2 dHz, 1 cJ, 2 mJ, 1 µkat, 2 nkat, 1 plm, 2 flm, 1 alx, 2 zlx, 1 m°C, 2 µ°C, 1 p℃, 2 n℃

1 N, 2 N, 1 Ω, 2 Ω, 1 Ω, 2 Ω, 1 Pa, 2 Pa, 1 S, 2 S, 1 Sv, 2 Sv, 1 T, 2 T, 1 V, 2 V, 1 W, 2 W, 1 Wb, 2 Wb

1 qN, 2 rN, 1 yΩ, 2 zΩ, 1 aΩ, 2 fΩ, 1 pPa, 2 nPa, 1 µS, 2 mS, 1 cSv, 2 dSv, 1 daT, 2 hT, 1 kV, 2 MV, 1 GW, 2 TW, 1 PWb, 2 EWb

1 l, 2 l, 1 L, 2 L, 1 ℓ, 2 ℓ, 1 t, 2 t, 1 Da, 2 Da, 1 Np, 2 Np, 1 u, 2 u, 1 eV, 2 eV, 1 rad, 2 rad, 1 sr, 2 sr, 1 a, 2 a, 1 as, 2 as, 1 b, 2 b, 1 B, 2 B, 1 Bd, 2 Bd

1 Ql, 2 Rl, 1 YL, 2 ZL, 1 Eℓ, 2 Pℓ, 1 Tt, 2 Gt, 1 MDa, 2 kDa, 1 dNp, 2 cNp, 1 hu, 2 dau, 1 meV, 2 µeV, 1 nrad, 2 prad, 1 fsr, 2 asr, 1 Ga, 2 Ma, 1 zas, 2 yas, 1 kb, 2 Mb, 1 GB, 2 TB, 1 TBd, 2 EBd

1 ″, 2 ″, 1 ", 2 ", 1', 2', 1', 2', 1 \min, 2 \min, 1 h, 2 h, 1 hr, 2 hr, 1 Hr, 2 Hr, 1 d, 2 d, 1 dy, 2 dy, 1 w, 2 w, 1 wk, 2 wk, 1 y, 2 y, 1 yr, 2 yr

1 °, 2 °, 1 \deg, 2 \deg, 1 arcmin, 2 arcmin, 1 amin, 2 amin, 1 am, 2 am, 1 MOA, 2 MOA, 1 arcsec, 2 arcsec, 1 asec, 2 asec

1 au, 2 au, 1 ltyr, 2 ltyr, 1 pc, 2 pc, 1 Å, 2 Å, 1 Å, 2 Å, 1 fm, 2 fm

1 ha, 2 ha, 1 dB, 2 dB, 1 atm, 2 atm, 1 amu, 2 amu, 1 bar, 2 bar, 1 cal, 2 cal, 1 Ci, 2 Ci, 1 grad, 2 grad, 1 M, 2 M, 1 R, 2 R, 1 rpm, 2 rpm, 1 fl dr, 2 fl dr, 1 ℧, 2 ℧, 1 dyn, 2 dyn, 1 erg, 2 erg

1 Kib, 2 Kib, 1 Mib, 2 Mib, 1 Gib, 2 Gib, 1 Tib, 2 Tib, 1 Pib, 2 Pib, 1 Eib, 2 Eib, 1 Zib, 2 Zib, 1 Yib, 2 Yib, 1 KiB, 2 KiB, 1 MiB, 2 MiB, 1 GiB, 2 GiB, 1 TiB, 2 TiB, 1 PiB, 2 PiB, 1 EiB, 2 EiB, 1 ZiB, 2 ZiB, 1 YiB, 2 YiB

1.0 l, 2.0 m, x ms, y µs, dag, 1235 daN, 2.5 µsec, 32.34 mol

[1 t, 2 PA, 3 Pa, 4.5 mT]

3 m, 1 km, 3 m, \frac{3}{10} F, m_{\min}