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The tutorial consists of more than 200 live examples from 50 sections given separately for JAVA, C# and C++. Each of the examples can be copied and run on your own environment. In addition, mXparser provides an extensive collection of over 500 built-in math functions, expressions and symbols. Familiarize yourself with the scope and the syntax. Live testing is the best way to learn. Good luck! 🙂
Tutorial Math Collection API spec Download
Below is the code for JAVA, C# (the code for C# is almost identical) and C++. To copy the code, double-click inside the frame.
You may also be interested in the following tutorial sections:
- Exporting help in the CSV format
- Exporting help in the HTML table format
- Exporting help in the Markdown table format
- Exporting help in the JSON format
- Exporting help in the TXT format
- Accessing help programmatically
- Configuration of your own translation
Case 1: Full help
Java/C# code
// JAVA: import org.mariuszgromada.math.mxparser.*;
// C#: using org.mariuszgromada.math.mxparser;
// ...
mXparser.consolePrintHelp();
C++ code
#include "org/mariuszgromada/math/mxparser.hpp"
// ...
mXparser::consolePrintHelp();
Case 2: In-line help searching – “sine” simple keyword
For a basic in-line search, simply provide a word (e.g.: "sine") in the query parameter.
Java/C# code
// JAVA: import org.mariuszgromada.math.mxparser.*;
// C#: using org.mariuszgromada.math.mxparser;
// ...
mXparser.consolePrintHelp("sine");
C++ code
#include "org/mariuszgromada/math/mxparser.hpp"
// ...
mXparser::consolePrintHelp("sine");
Case 3: Advanced help searching – “desc=inver” query
Advanced search is also possible, please use one of the tags below when formatting the query parameter:
"key="– keyword (e.g.:"key=sin")"desc="– description (e.g.:"desc=trigonometric"),"syn="– syntax (e.g.:"syn=sin")"type="– type (e.g.:"type=unit")"since="– since (e.g.:"since=4.1")"typeid="– please refer to parser tokens (e.g.:"typeid=3")-
"keyid="– please refer to parser tokens (e.g.:"keyid=1004").
Only one tag can be used per search.
Java/C# code
// JAVA: import org.mariuszgromada.math.mxparser.*;
// C#: using org.mariuszgromada.math.mxparser;
// ...
mXparser.consolePrintHelp("desc=inver")
C++ code
#include "org/mariuszgromada/math/mxparser.hpp"
// ...
mXparser::consolePrintHelp("desc=inver");
Code result
Case 1: Full help
[mXparser-v.5.2.0] All help content.
# Keyword Type Syntax Since Description
- -------- ---- ------ ----- -----------
1. Number literal <Number> -2, 0.2, -002.1, 2.3e10, -.212, 1_2, 2_1_3, b1.111, b2.1001, h.af1,...1.0 Number literal: Integer (Since 1.0): 1, -2; Decimal (Since 1.0): 0.2, -0.3, 1.2; Leading zero (Since 4.1): 001, -002.1; Scientific notation (Since 4.2): 1.2e-10, 1.2e+10, 2.3E10; No leading zero (Since 4.2): .2, -.212; Fractions (Since 4.2): 1_2, 2_1_3, -14_3; Other numeral systems (Since 4.1): b1.111, b2.1001, b3.12021, -b16.af12, h.af1, -b.1001, o.0127;
2. + <Operator> a + b 1.0 Addition - Operator
3. - <Operator> a - b 1.0 Subtraction - Operator
4. * <Operator> a * b 1.0 Multiplication - Operator
5. × <Operator> a × b 5.0 Multiplication - Operator - Unicode math symbol
6. ⨉ <Operator> a ⨉ b 5.0 Multiplication - Operator - Unicode math symbol
7. ∙ <Operator> a ∙ b 5.0 Multiplication - Operator - Unicode math symbol
8. / <Operator> a / b 1.0 Division - Operator
9. ÷ <Operator> a ÷ b 5.0 Division - Operator - Unicode math symbol
10. ^ <Operator> a^b 1.0 Exponentiation - Operator
11. ! <Operator> n! 1.0 Factorial - Operator
12. # <Operator> a # b 1.0 Modulo - Operator
13. % <Operator> n% 4.1 Percentage - Operator
14. ^^ <Operator> a^^b 4.2 Tetration (hyper-4, power tower, exponential tower) - Operator
15. √ <Operator> √x 5.0 Square root - Operator - Unicode math symbol
16. ∛ <Operator> ∛x 5.0 Cube root - Operator - Unicode math symbol
17. ∜ <Operator> ∜x 5.0 Fourth root - Operator - Unicode math symbol
18. & <Boolean operator> p & q 1.0 Logical conjunction AND - Boolean operator
19. ∧ <Boolean operator> p ∧ q 5.0 Logical conjunction AND - Boolean operator - Unicode math symbol
20. && <Boolean operator> p && q 1.0 Logical conjunction AND - Boolean operator
21. /\ <Boolean operator> p /\ q 1.0 Logical conjunction AND - Boolean operator
22. ⊼ <Boolean operator> p ⊼ q 5.0 Sheffer stroke NAND - Boolean operator - Unicode math symbol
23. ~& <Boolean operator> p ~& q 1.0 Sheffer stroke NAND - Boolean operator
24. ~∧ <Boolean operator> p ~∧ q 5.0 Sheffer stroke NAND - Boolean operator - Unicode math symbol
25. ¬& <Boolean operator> p ¬& q 5.0 Sheffer stroke NAND - Boolean operator - Unicode math symbol
26. ¬∧ <Boolean operator> p ¬∧ q 5.0 Sheffer stroke NAND - Boolean operator - Unicode math symbol
27. ~&& <Boolean operator> p ~&& q 1.0 Sheffer stroke NAND - Boolean operator
28. ~/\ <Boolean operator> p ~/\ q 1.0 Sheffer stroke NAND - Boolean operator
29. ¬&& <Boolean operator> p ¬&& q 5.0 Sheffer stroke NAND - Boolean operator - Unicode math symbol
30. ¬/\ <Boolean operator> p ¬/\ q 5.0 Sheffer stroke NAND - Boolean operator - Unicode math symbol
31. | <Boolean operator> p | q 1.0 Logical disjunction OR - Boolean operator
32. ∨ <Boolean operator> p ∨ q 5.0 Logical disjunction OR - Boolean operator - Unicode math symbol
33. || <Boolean operator> p || q 1.0 Logical disjunction OR - Boolean operator
34. \/ <Boolean operator> p \/ q 1.0 Logical disjunction OR - Boolean operator
35. ⊽ <Boolean operator> p ⊽ q 5.0 Logical not or (joint denial) NOR - Boolean operator - Unicode math symbol
36. ~| <Boolean operator> p ~| q 1.0 Logical not or (joint denial) NOR - Boolean operator
37. ~∨ <Boolean operator> p ~∨ q 5.0 Logical not or (joint denial) NOR - Boolean operator - Unicode math symbol
38. ¬| <Boolean operator> p ¬| q 5.0 Logical not or (joint denial) NOR - Boolean operator - Unicode math symbol
39. ¬∨ <Boolean operator> p ¬∨ q 5.0 Logical not or (joint denial) NOR - Boolean operator - Unicode math symbol
40. ~|| <Boolean operator> p ~|| q 1.0 Logical not or (joint denial) NOR - Boolean operator
41. ~\/ <Boolean operator> p ~\/ q 1.0 Logical not or (joint denial) NOR - Boolean operator
42. ¬|| <Boolean operator> p ¬|| q 5.0 Logical not or (joint denial) NOR - Boolean operator - Unicode math symbol
43. ¬\/ <Boolean operator> p ¬\/ q 5.0 Logical not or (joint denial) NOR - Boolean operator - Unicode math symbol
44. ⊻ <Boolean operator> p ⊻ q 5.0 Exclusive or XOR - Boolean operator - Unicode math symbol
45. (+) <Boolean operator> p (+) q 1.0 Exclusive or XOR - Boolean operator
46. ⇒ <Boolean operator> p ⇒ q 5.0 Implication IMP - Boolean operator - Unicode math symbol
47. --> <Boolean operator> p --> q 1.0 Implication IMP - Boolean operator
48. ⇐ <Boolean operator> p ⇐ q 5.0 Converse implication CIMP - Boolean operator - Unicode math symbol
49. <-- <Boolean operator> p <-- q 1.0 Converse implication CIMP - Boolean operator
50. ⇏ <Boolean operator> p ⇏ q 5.0 Material nonimplication NIMP - Boolean operator - Unicode math symbol
51. -/> <Boolean operator> p -/> q 1.0 Material nonimplication NIMP - Boolean operator
52. ⇍ <Boolean operator> p ⇍ q 5.0 Converse nonimplication CNIMP - Boolean operator - Unicode math symbol
53. </- <Boolean operator> p </- q 1.0 Converse nonimplication CNIMP - Boolean operator
54. ⇔ <Boolean operator> p ⇔ q 5.0 Logical biconditional EQV - Boolean operator - Unicode math symbol
55. <-> <Boolean operator> p <-> q 1.0 Logical biconditional EQV - Boolean operator
56. ~ <Boolean operator> ~p 1.0 Negation - Boolean operator
57. ¬ <Boolean operator> ¬p 5.0 Negation - Boolean operator - Unicode math symbol
58. = <Binary relation> a = b 1.0 Equality - Binary relation
59. == <Binary relation> a == b 1.0 Equality - Binary relation
60. ≠ <Binary relation> a ≠ b 5.0 Inequation - Binary relation - Unicode math symbol
61. <> <Binary relation> a <> b 1.0 Inequation - Binary relation
62. ~= <Binary relation> a ~= b 1.0 Inequation - Binary relation
63. != <Binary relation> a != b 1.0 Inequation - Binary relation
64. < <Binary relation> a < b 1.0 Lower than - Binary relation
65. > <Binary relation> a > b 1.0 Greater than - Binary relation
66. ≤ <Binary relation> a ≤ b 5.0 Lower or equal - Binary relation - Unicode math symbol
67. ⋜ <Binary relation> a ⋜ b 5.0 Lower or equal - Binary relation - Unicode math symbol
68. <= <Binary relation> a <= b 1.0 Lower or equal - Binary relation
69. ≥ <Binary relation> a ≥ b 5.0 Greater or equal - Binary relation - Unicode math symbol
70. ⋝ <Binary relation> a ⋝ b 5.0 Greater or equal - Binary relation - Unicode math symbol
71. >= <Binary relation> a >= b 1.0 Greater or equal - Binary relation
72. sin <Unary function> sin(x) 1.0 Trigonometric sine - Unary function
73. cos <Unary function> cos(x) 1.0 Trigonometric cosine - Unary function
74. tg <Unary function> tg(x) 1.0 Trigonometric tangent - Unary function
75. tan <Unary function> tan(x) 1.0 Trigonometric tangent - Unary function
76. ctg <Unary function> ctg(x) 1.0 Trigonometric cotangent - Unary function
77. cot <Unary function> cot(x) 1.0 Trigonometric cotangent - Unary function
78. ctan <Unary function> ctan(x) 1.0 Trigonometric cotangent - Unary function
79. sec <Unary function> sec(x) 1.0 Trigonometric secant - Unary function
80. csc <Unary function> csc(x) 1.0 Trigonometric cosecant - Unary function
81. cosec <Unary function> cosec(x) 1.0 Trigonometric cosecant - Unary function
82. asin <Unary function> asin(x) 1.0 Inverse trigonometric sine - Unary function
83. arsin <Unary function> arsin(x) 1.0 Inverse trigonometric sine - Unary function
84. arcsin <Unary function> arcsin(x) 1.0 Inverse trigonometric sine - Unary function
85. acos <Unary function> acos(x) 1.0 Inverse trigonometric cosine - Unary function
86. arcos <Unary function> arcos(x) 1.0 Inverse trigonometric cosine - Unary function
87. arccos <Unary function> arccos(x) 1.0 Inverse trigonometric cosine - Unary function
88. atg <Unary function> atg(x) 1.0 Inverse trigonometric tangent - Unary function
89. atan <Unary function> atan(x) 1.0 Inverse trigonometric tangent - Unary function
90. arctg <Unary function> arctg(x) 1.0 Inverse trigonometric tangent - Unary function
91. arctan <Unary function> arctan(x) 1.0 Inverse trigonometric tangent - Unary function
92. actg <Unary function> actg(x) 1.0 Inverse trigonometric cotangent - Unary function
93. acot <Unary function> acot(x) 1.0 Inverse trigonometric cotangent - Unary function
94. actan <Unary function> actan(x) 1.0 Inverse trigonometric cotangent - Unary function
95. arcctg <Unary function> arcctg(x) 1.0 Inverse trigonometric cotangent - Unary function
96. arccot <Unary function> arccot(x) 1.0 Inverse trigonometric cotangent - Unary function
97. arcctan <Unary function> arcctan(x) 1.0 Inverse trigonometric cotangent - Unary function
98. ln <Unary function> ln(x) 1.0 Natural logarithm (base e) - Unary function
99. log2 <Unary function> log2(x) 1.0 Binary logarithm (base 2) - Unary function
100. lg <Unary function> lg(x) 5.0 Common logarithm (base 10) - Unary function
101. log10 <Unary function> log10(x) 1.0 Common logarithm (base 10) - Unary function
102. rad <Unary function> rad(x) 1.0 Degrees to radians - Unary function
103. exp <Unary function> exp(x) 1.0 Exponential - Unary function
104. sqrt <Unary function> sqrt(x) 1.0 Squre root - Unary function
105. sinh <Unary function> sinh(x) 1.0 Hyperbolic sine - Unary function
106. cosh <Unary function> cosh(x) 1.0 Hyperbolic cosine - Unary function
107. tgh <Unary function> tgh(x) 1.0 Hyperbolic tangent - Unary function
108. tanh <Unary function> tanh(x) 1.0 Hyperbolic tangent - Unary function
109. coth <Unary function> coth(x) 1.0 Hyperbolic cotangent - Unary function
110. ctgh <Unary function> ctgh(x) 1.0 Hyperbolic cotangent - Unary function
111. ctanh <Unary function> ctanh(x) 1.0 Hyperbolic cotangent - Unary function
112. sech <Unary function> sech(x) 1.0 Hyperbolic secant - Unary function
113. csch <Unary function> csch(x) 1.0 Hyperbolic cosecant - Unary function
114. cosech <Unary function> cosech(x) 1.0 Hyperbolic cosecant - Unary function
115. deg <Unary function> deg(x) 1.0 Radians to degrees - Unary function
116. abs <Unary function> abs(x) 1.0 Absolut value - Unary function
117. sgn <Unary function> sgn(x) 1.0 Signum - Unary function
118. floor <Unary function> floor(x) 1.0 Floor - Unary function
119. ceil <Unary function> ceil(x) 1.0 Ceiling - Unary function
120. not <Unary function> not(x) 1.0 Negation - Unary function
121. asinh <Unary function> asinh(x) 1.0 Inverse hyperbolic sine - Unary function
122. arsinh <Unary function> arsinh(x) 1.0 Inverse hyperbolic sine - Unary function
123. arcsinh <Unary function> arcsinh(x) 1.0 Inverse hyperbolic sine - Unary function
124. acosh <Unary function> acosh(x) 1.0 Inverse hyperbolic cosine - Unary function
125. arcosh <Unary function> arcosh(x) 1.0 Inverse hyperbolic cosine - Unary function
126. arccosh <Unary function> arccosh(x) 1.0 Inverse hyperbolic cosine - Unary function
127. atgh <Unary function> atgh(x) 1.0 Inverse hyperbolic tangent - Unary function
128. atanh <Unary function> atanh(x) 1.0 Inverse hyperbolic tangent - Unary function
129. arctgh <Unary function> arctgh(x) 1.0 Inverse hyperbolic tangent - Unary function
130. arctanh <Unary function> arctanh(x) 1.0 Inverse hyperbolic tangent - Unary function
131. acoth <Unary function> acoth(x) 1.0 Inverse hyperbolic cotangent - Unary function
132. actgh <Unary function> actgh(x) 1.0 Inverse hyperbolic cotangent - Unary function
133. actanh <Unary function> actanh(x) 1.0 Inverse hyperbolic cotangent - Unary function
134. arcoth <Unary function> arcoth(x) 1.0 Inverse hyperbolic cotangent - Unary function
135. arccoth <Unary function> arccoth(x) 1.0 Inverse hyperbolic cotangent - Unary function
136. arcctgh <Unary function> arcctgh(x) 1.0 Inverse hyperbolic cotangent - Unary function
137. arcctanh <Unary function> arcctanh(x) 1.0 Inverse hyperbolic cotangent - Unary function
138. asech <Unary function> asech(x) 1.0 Inverse hyperbolic secant - Unary function
139. arsech <Unary function> arsech(x) 1.0 Inverse hyperbolic secant - Unary function
140. arcsech <Unary function> arcsech(x) 1.0 Inverse hyperbolic secant - Unary function
141. acsch <Unary function> acsch(x) 1.0 Inverse hyperbolic cosecant - Unary function
142. arcsch <Unary function> arcsch(x) 1.0 Inverse hyperbolic cosecant - Unary function
143. arccsch <Unary function> arccsch(x) 1.0 Inverse hyperbolic cosecant - Unary function
144. acosech <Unary function> acosech(x) 1.0 Inverse hyperbolic cosecant - Unary function
145. arcosech <Unary function> arcosech(x) 1.0 Inverse hyperbolic cosecant - Unary function
146. arccosech <Unary function> arccosech(x) 1.0 Inverse hyperbolic cosecant - Unary function
147. Sa <Unary function> Sa(x) 1.0 Sinc (normalized) - Unary function
148. sinc <Unary function> sinc(x) 1.0 Sinc (normalized) - Unary function
149. Sinc <Unary function> Sinc(x) 1.0 Sinc (unnormalized) - Unary function
150. Bell <Unary function> Bell(n) 1.0 Bell number - Unary function
151. Luc <Unary function> Luc(n) 1.0 Lucas number - Unary function
152. Fib <Unary function> Fib(n) 1.0 Fibonacci number - Unary function
153. harm <Unary function> harm(n) 1.0 Harmonic number - Unary function
154. ispr <Unary function> ispr(n) 2.3 Prime number test (is number a prime?) - Unary function
155. Pi <Unary function> Pi(n) 2.3 Prime-counting π(n) - Unary function
156. Ei <Unary function> Ei(x) 2.3 Exponential integral - Special function Ei(x) - Unary function
157. li <Unary function> li(x) 2.3 Logarithmic integral - Special function li(x) - Unary function
158. Li <Unary function> Li(x) 2.3 Offset logarithmic integral - Special function Li(x) - Unary function
159. erf <Unary function> erf(x) 3.0 Gauss error - Special function erf(x) - Unary function
160. erfc <Unary function> erfc(x) 3.0 Gauss complementary error - Special function erfc(x) - Unary function
161. erfInv <Unary function> erfInv(x) 3.0 Inverse Gauss error - Special function erf⁻¹(y) - Unary function
162. erfcInv <Unary function> erfcInv(x) 3.0 Inverse Gauss complementary error - Special function erfc⁻¹(x) - Unary function
163. ulp <Unary function> ulp(x) 3.0 Unit in The Last Place - Unary function
164. isNaN <Unary function> isNaN(x) 4.1 Returns true if value is a Not-a-Number (NaN), false otherwise (true=1, false=1) - Unary function
165. ndig10 <Unary function> ndig10(x) 4.1 Number of digits in numeral system with base 10 - Unary function
166. nfact <Unary function> nfact(x) 4.1 Prime decomposition - number of distinct prime factors - Unary function
167. arcsec <Unary function> arcsec(x) 4.1 Inverse trigonometric secant - Unary function
168. arccsc <Unary function> arccsc(x) 4.1 Inverse trigonometric cosecant - Unary function
169. Gamma <Unary function> Gamma(x) 4.2 Gamma - Special function Γ(s) - Unary function
170. LambW0 <Unary function> LambW0(x) 4.2 Lambert-W, principal branch 0, also called the omega or product logarithm - Special function W₀(x) - Unary function
171. LambW1 <Unary function> LambW1(x) 4.2 Lambert-W, branch -1, also called the omega or product logarithm - Special function W₋₁(x) - Unary function
172. sgnGamma <Unary function> sgnGamma(x) 4.2 Signum of Gamma - Special function Γ(s) - Unary function
173. logGamma <Unary function> logGamma(x) 4.2 Log Gamma - Special function lnΓ(s) - Unary function
174. diGamma <Unary function> diGamma(x) 4.2 Digamma as the logarithmic derivative of the Gamma - Special function ψ(x) - Unary function
175. rStud <Unary function> rStud(v) 5.0 Random variable - Student's t-distribution - Unary function
176. rChi2 <Unary function> rChi2(k) 5.0 Random variable - Chi-squared distribution - Unary function
177. log <Binary function> log(a, b) 1.0 Logarithm - Binary function
178. mod <Binary function> mod(a, b) 1.0 Modulo - Binary function
179. C <Binary function> C(n, k) 1.0 Binomial coefficient, number of k-combinations that can be drawn from n-elements set - Binary function
180. nCk <Binary function> nCk(n, k) 4.2 Binomial coefficient, number of k-combinations that can be drawn from n-elements set - Binary function
181. Bern <Binary function> Bern(m, n) 1.0 Bernoulli numbers - Binary function
182. Stirl1 <Binary function> Stirl1(n, k) 1.0 Stirling numbers of the first kind - Binary function
183. Stirl2 <Binary function> Stirl2(n, k) 1.0 Stirling numbers of the second kind - Binary function
184. Worp <Binary function> Worp(n, k) 1.0 Worpitzky number - Binary function
185. Euler <Binary function> Euler(n, k) 1.0 Euler number - Binary function
186. KDelta <Binary function> KDelta(i, j) 1.0 Kronecker delta - Binary function
187. EulerPol <Binary function> EulerPol(m, x) 1.0 Euler polynomial - Binary function
188. Harm <Binary function> Harm(x, n) 1.0 Harmonic number - Binary function
189. rUni <Binary function> rUni(a, b) 3.0 Random variable - Uniform continuous distribution U(a,b) - Binary function
190. rUnid <Binary function> rUnid(a, b) 3.0 Random variable - Uniform discrete distribution U{a,b} - Binary function
191. round <Binary function> round(x, n) 3.0 Half-up rounding - Binary function
192. rNor <Binary function> rNor(mean, stdv) 3.0 Random variable - Normal distribution N(μ,σ) - Binary function
193. ndig <Binary function> ndig(number, base) 4.1 Number of digits representing the number in numeral system with given base - Binary function
194. dig10 <Binary function> dig10(num, pos) 4.1 Digit at position 1 ... n (left -> right) or 0 ... -(n-1) (right -> left) - base 10 numeral system - Binary function
195. factval <Binary function> factval(number, factorid) 4.1 Prime decomposition - factor value at position between 1 ... nfact(n) - ascending order by factor value - Binary function
196. factexp <Binary function> factexp(number, factorid) 4.1 Prime decomposition - factor exponent / multiplicity at position between 1 ... nfact(n) - ascending order by factor value - Binary function
197. root <Binary function> root(rootorder, number) 4.1 N-th order root of a number - Binary function
198. GammaL <Binary function> GammaL(s, x) 4.2 Lower incomplete gamma - Special function γ(s,x) - Binary function
199. GammaU <Binary function> GammaU(s, x) 4.2 Upper incomplete Gamma - Special function Γ(s,x) - Binary function
200. GammaP <Binary function> GammaP(s, x) 4.2 Lower regularized P gamma - Special function P(s,x) - Binary function
201. GammaRegL <Binary function> GammaRegL(s, x) 4.2 Lower regularized P gamma - Special function P(s,x) - Binary function
202. GammaQ <Binary function> GammaQ(s, x) 4.2 Upper regularized Q Gamma - Special function Q(s,x) - Binary function
203. GammaRegU <Binary function> GammaRegU(s, x) 4.2 Upper regularized Q Gamma - Special function Q(s,x) - Binary function
204. nPk <Binary function> nPk(n, k) 4.2 Number of k-permutations that can be drawn from n-elements set - Binary function
205. Beta <Binary function> Beta(x, y) 4.2 The Beta, also called the Euler integral of the first kind - Special function B(x,y) - Binary function
206. logBeta <Binary function> logBeta(x, y) 4.2 The Log Beta, also called the Log Euler integral of the first kind - Special function lnB(x,y) - Binary function
207. pStud <Binary function> pStud(x, v) 5.0 Student's t-distribution - Probability distribution function - Binary function
208. cStud <Binary function> cStud(x, v) 5.0 Student's t-distribution - Cumulative distribution function - Binary function
209. qStud <Binary function> qStud(p, v) 5.0 Student's t-distribution - Quantile function (inverse cumulative distribution function) - Binary function
210. pChi2 <Binary function> pChi2(x, k) 5.0 Chi-squared distribution - Probability distribution function - Binary function
211. cChi2 <Binary function> cChi2(x, k) 5.0 Chi-squared distribution - Cumulative distribution function - Binary function
212. qChi2 <Binary function> qChi2(p, k) 5.0 Chi-squared distribution - Quantile function (inverse cumulative distribution function) - Binary function
213. rFSned <Binary function> rFSned(d1, d2) 5.1 Random variable - Snedecor's F distribution (F-distribution or F-ratio, also known as Fisher–Snedecor distribution) - Binary function
214. if <Ternary function> if(cond, expr-if-true, expr-if-false) 1.0 If - Ternary function
215. chi <Ternary function> chi(x, a, b) 1.0 Characteristic function for x in (a,b) - Ternary function
216. CHi <Ternary function> CHi(x, a, b) 1.0 Characteristic function for x in [a,b] - Ternary function
217. Chi <Ternary function> Chi(x, a, b) 1.0 Characteristic function for x in [a,b) - Ternary function
218. cHi <Ternary function> cHi(x, a, b) 1.0 Characteristic function for x in (a,b] - Ternary function
219. pUni <Ternary function> pUni(x, a, b) 3.0 Uniform continuous distribution - Probability distribution function U(a,b) - Ternary function
220. cUni <Ternary function> cUni(a, a, b) 3.0 Uniform continuous distribution - Cumulative distribution function U(a,b) - Ternary function
221. qUni <Ternary function> qUni(q, a, b) 3.0 Uniform continuous distribution - Quantile function (inverse cumulative distribution function) U(a,b) - Ternary function
222. pNor <Ternary function> pNor(x, mean, stdv) 3.0 Normal distribution - Probability distribution function N(μ,σ) - Ternary function
223. cNor <Ternary function> cNor(x, mean, stdv) 3.0 Normal distribution - Cumulative distribution function N(μ,σ) - Ternary function
224. qNor <Ternary function> qNor(q, mean, stdv) 3.0 Normal distribution - Quantile function (inverse cumulative distribution function) N(μ,σ) - Ternary function
225. dig <Ternary function> dig(num, pos, base) 4.1 Digit at position 1 ... n (left -> right) or 0 ... -(n-1) (right -> left) - numeral system with given base - Ternary function
226. BetaInc <Ternary function> BetaInc(x, a, b) 4.2 The incomplete Beta, also called the incomplete Euler integral of the first kind - Special function B(x,a,b) - Ternary function
227. BetaI <Ternary function> BetaI(x, a, b) 4.2 The regularized incomplete Beta (or regularized beta), also called the regularized incomplete Euler integral of the first kind - Special function I(x,a,b) - Ternary function
228. BetaReg <Ternary function> BetaReg(x, a, b) 4.2 The regularized incomplete Beta (or regularized beta), also called the regularized incomplete Euler integral of the first kind - Special function I(x,a,b) - Ternary function
229. pFSned <Ternary function> pFSned(x, d1, d2) 5.1 Snedecor's F distribution (F-distribution or F-ratio, also known as Fisher–Snedecor distribution) - Probability distribution function - Ternary function
230. cFSned <Ternary function> cFSned(x, d1, d2) 5.1 Snedecor's F distribution (F-distribution or F-ratio, also known as Fisher–Snedecor distribution) - Cumulative distribution function - Ternary function
231. qFSned <Ternary function> qFSned(p, d1, d2) 5.1 Snedecor's F distribution (F-distribution or F-ratio, also known as Fisher–Snedecor distribution) - Quantile function (inverse cumulative distribution function) - Ternary function
232. iff <Variadic function> iff(cond-1, expr-1; ... ; cond-n, expr-n) 1.0 If function - Variadic function
233. min <Variadic function> min(a1, ..., an) 1.0 Minimum - Variadic function
234. max <Variadic function> max(a1, ..., an) 1.0 Maximum - Variadic function
235. ConFrac <Variadic function> ConFrac(a1, ..., an) 1.0 Continued fraction - Variadic function
236. ConPol <Variadic function> ConPol(a1, ..., an) 1.0 Continued polynomial - Variadic function
237. gcd <Variadic function> gcd(a1, ..., an) 1.0 Greatest common divisor - Variadic function
238. lcm <Variadic function> lcm(a1, ..., an) 1.0 Least common multiple - Variadic function
239. add <Variadic function> add(a1, ..., an) 2.4 Summation - Variadic function
240. multi <Variadic function> multi(a1, ..., an) 2.4 Multiplication - Variadic function
241. mean <Variadic function> mean(a1, ..., an) 2.4 Mean / average value - Variadic function
242. var <Variadic function> var(a1, ..., an) 2.4 Bias-corrected sample variance - Variadic function
243. std <Variadic function> std(a1, ..., an) 2.4 Bias-corrected sample standard deviation - Variadic function
244. rList <Variadic function> rList(a1, ..., an) 3.0 Random number from a given list of numbers - Variadic function
245. coalesce <Variadic function> coalesce(a1, ..., an) 4.1 Returns the first non-NaN value - Variadic function
246. or <Variadic function> or(a1, ..., an) 4.1 Logical disjunction (OR) - variadic - Variadic function
247. and <Variadic function> and(a1, ..., an) 4.1 Logical conjunction (AND) - variadic - Variadic function
248. xor <Variadic function> xor(a1, ..., an) 4.1 Exclusive or (XOR) - variadic - Variadic function
249. argmin <Variadic function> argmin(a1, ..., an) 4.1 Arguments / indices of the minima - Variadic function
250. argmax <Variadic function> argmax(a1, ..., an) 4.1 Arguments / indices of the maxima - Variadic function
251. med <Variadic function> med(a1, ..., an) 4.1 The sample median - Variadic function
252. mode <Variadic function> mode(a1, ..., an) 4.1 Mode - the value that appears most often - Variadic function
253. base <Variadic function> base(b, d1, ..., dn) 4.1 Returns number in given numeral system base represented by list of digits - Variadic function
254. ndist <Variadic function> ndist(v1, ..., vn) 4.1 Number of distinct values - Variadic function
255. ∑ <Calculus operator> ∑(i, from, to, expr, <by>) 5.0 Summation SIGMA - Iterated operator Σ - Calculus operator - Unicode math symbol
256. Σ <Calculus operator> Σ(i, from, to, expr, <by>) 5.0 Summation SIGMA - Iterated operator Σ - Calculus operator - Unicode math symbol
257. sum <Calculus operator> sum(i, from, to, expr, <by>) 1.0 Summation SIGMA - Iterated operator Σ - Calculus operator
258. ∏ <Calculus operator> ∏(i, from, to, expr, <by>) 5.0 Product PI - Iterated operator ∏ - Calculus operator - Unicode math symbol
259. ℿ <Calculus operator> ℿ(i, from, to, expr, <by>) 5.0 Product PI - Iterated operator ∏ - Calculus operator - Unicode math symbol
260. Π <Calculus operator> Π(i, from, to, expr, <by>) 5.0 Product PI - Iterated operator ∏ - Calculus operator - Unicode math symbol
261. prod <Calculus operator> prod(i, from, to, expr, <by>) 1.0 Product PI - Iterated operator ∏ - Calculus operator
262. ∫ <Calculus operator> ∫(expr, arg, from, to) 5.0 Definite integral ∫ - Calculus operator - Unicode math symbol
263. int <Calculus operator> int(expr, arg, from, to) 1.0 Definite integral ∫ - Calculus operator
264. ∂ <Calculus operator> ∂(expr, arg, <point>) 5.0 Derivative ∂ - Calculus operator - Unicode math symbol
265. der <Calculus operator> der(expr, arg, <point>) 1.0 Derivative ∂ - Calculus operator
266. ∂- <Calculus operator> ∂-(expr, arg, <point>) 5.0 Left derivative ∂- - Calculus operator - Unicode math symbol
267. der- <Calculus operator> der-(expr, arg, <point>) 1.0 Left derivative ∂- - Calculus operator
268. ∂+ <Calculus operator> ∂+(expr, arg, <point>) 5.0 Right derivative ∂+ - Calculus operator - Unicode math symbol
269. der+ <Calculus operator> der+(expr, arg, <point>) 1.0 Right derivative ∂+ - Calculus operator
270. dern <Calculus operator> dern(expr, n, arg) 1.0 n-th derivative ∂ⁿ - Calculus operator
271. ∆ <Calculus operator> ∆(expr, arg, <delta>) 5.0 Forward difference ∆ - Calculus operator - Unicode math symbol
272. Δ <Calculus operator> Δ(expr, arg, <delta>) 5.0 Forward difference ∆ - Calculus operator - Unicode math symbol
273. diff <Calculus operator> diff(expr, arg, <delta>) 1.0 Forward difference ∆ - Calculus operator
274. ∇ <Calculus operator> ∇(expr, arg, <delta>) 5.0 Backward difference ∇ - Calculus operator - Unicode math symbol
275. difb <Calculus operator> difb(expr, arg, <delta>) 1.0 Backward difference ∇ - Calculus operator
276. avg <Calculus operator> avg(i, from, to, expr, <by>) 2.4 Average - Iterated operator - Calculus operator
277. vari <Calculus operator> vari(i, from, to, expr, <by>) 2.4 Bias-corrected sample variance - Iterated operator - Calculus operator
278. stdi <Calculus operator> stdi(i, from, to, expr, <by>) 2.4 Bias-corrected sample standard deviation - Iterated operator - Calculus operator
279. mini <Calculus operator> mini(i, from, to, expr, <by>) 2.4 Minimum value - Iterated operator - Calculus operator
280. maxi <Calculus operator> maxi(i, from, to, expr, <by>) 2.4 Maximum value - Iterated operator - Calculus operator
281. solve <Calculus operator> solve(expr, arg, from, to) 4.0 Equation solving (root finding) f(x)=0 - Calculus operator
282. π <Constant value> π 5.0 Pi, Archimedes' or Ludolph's number - Mathematical constant π - Constant value - Unicode math symbol
283. ℼ <Constant value> ℼ 5.0 Pi, Archimedes' or Ludolph's number - Mathematical constant π - Constant value - Unicode math symbol
284. pi <Constant value> pi 1.0 Pi, Archimedes' or Ludolph's number - Mathematical constant π - Constant value
285. e <Constant value> e 1.0 Napier's or Euler's number (base of Natural logarithm) - Mathematical constant e - Constant value
286. ℯ <Constant value> ℯ 5.0 Napier's or Euler's number (base of Natural logarithm) - Mathematical constant e - Constant value - Unicode math symbol
287. ⅇ <Constant value> ⅇ 5.0 Napier's or Euler's number (base of Natural logarithm) - Mathematical constant e - Constant value - Unicode math symbol
288. [gam] <Constant value> [gam] 1.0 Euler-Mascheroni constant - Mathematical constant γ - Constant value
289. [phi] <Constant value> [phi] 1.0 Golden ratio - Mathematical constant φ - Constant value
290. [PN] <Constant value> [PN] 1.0 Plastic constant - Mathematical constant ρ - Constant value
291. [B*] <Constant value> [B*] 1.0 Embree-Trefethen constant - Mathematical constant β* - Constant value
292. [F'd] <Constant value> [F'd] 1.0 Feigenbaum delta constant - Mathematical constant δ - Constant value
293. [F'a] <Constant value> [F'a] 1.0 Feigenbaum alpha constant - Mathematical constant α - Constant value
294. [C2] <Constant value> [C2] 1.0 Twin prime constant - Mathematical constant ∏₂ - Constant value
295. [M1] <Constant value> [M1] 1.0 Meissel-Mertens constant - Mathematical constant M₁, B₁ - Constant value
296. [B2] <Constant value> [B2] 1.0 Brun's constant for twin primes - Mathematical constant B₂ - Constant value
297. [B4] <Constant value> [B4] 1.0 Brun's constant for prime quadruplets - Mathematical constant B₄ - Constant value
298. [BN'L] <Constant value> [BN'L] 1.0 de Bruijn-Newman constant - Mathematical constant Λ - Constant value
299. [Kat] <Constant value> [Kat] 1.0 Catalan's constant - Mathematical constant G - Constant value
300. [K*] <Constant value> [K*] 1.0 Landau-Ramanujan constant - Mathematical constant b - Constant value
301. [K.] <Constant value> [K.] 1.0 Viswanath's constant - Mathematical constant V - Constant value
302. [B'L] <Constant value> [B'L] 1.0 Legendre's constant - Mathematical constant B - Constant value
303. [RS'm] <Constant value> [RS'm] 1.0 Ramanujan-Soldner constant - Mathematical constant μ - Constant value
304. [EB'e] <Constant value> [EB'e] 1.0 Erdos-Borwein constant - Mathematical constant E - Constant value
305. [Bern] <Constant value> [Bern] 1.0 Bernstein's constant - Mathematical constant β - Constant value
306. [GKW'l] <Constant value> [GKW'l] 1.0 Gauss-Kuzmin-Wirsing constant - Mathematical constant λ - Constant value
307. [HSM's] <Constant value> [HSM's] 1.0 Hafner-Sarnak-McCurley constant - Mathematical constant σ - Constant value
308. [lm] <Constant value> [lm] 1.0 Golomb-Dickman constant - Mathematical constant λ - Constant value
309. [Cah] <Constant value> [Cah] 1.0 Cahen's constant - Mathematical constant C - Constant value
310. [Ll] <Constant value> [Ll] 1.0 Laplace limit constant - Mathematical constant - Constant value
311. [AG] <Constant value> [AG] 1.0 Alladi-Grinstead constant - Mathematical constant - Constant value
312. [L*] <Constant value> [L*] 1.0 Lengyel's constant - Mathematical constant Λ - Constant value
313. [L.] <Constant value> [L.] 1.0 Levy's constant - Mathematical constant - Constant value
314. [Dz3] <Constant value> [Dz3] 1.0 Apery's constant - Mathematical constant ζ(3) - Constant value
315. [A3n] <Constant value> [A3n] 1.0 Mills' constant - Mathematical constant A - Constant value
316. [Bh] <Constant value> [Bh] 1.0 Backhouse's constant - Mathematical constant B - Constant value
317. [Pt] <Constant value> [Pt] 1.0 Porter's constant - Mathematical constant C - Constant value
318. [L2] <Constant value> [L2] 1.0 Lieb's square ice constant - Mathematical constant - Constant value
319. [Nv] <Constant value> [Nv] 1.0 Niven's constant - Mathematical constant C - Constant value
320. [Ks] <Constant value> [Ks] 1.0 Sierpinski's constant - Mathematical constant K - Constant value
321. [Kh] <Constant value> [Kh] 1.0 Khinchin's constant - Mathematical constant K₀ - Constant value
322. [FR] <Constant value> [FR] 1.0 Fransen-Robinson constant - Mathematical constant F - Constant value
323. [La] <Constant value> [La] 1.0 Landau's constant - Mathematical constant L - Constant value
324. [P2] <Constant value> [P2] 1.0 Parabolic constant - Mathematical constant P - Constant value
325. [Om] <Constant value> [Om] 1.0 Omega constant - Mathematical constant Ω - Constant value
326. [MRB] <Constant value> [MRB] 1.0 MRB constant - Mathematical constant S - Constant value
327. [li2] <Constant value> [li2] 2.3 Logarithmic integral at point 2 - Mathematical constant li(2) - Constant value
328. [EG] <Constant value> [EG] 2.3 Gompertz constant - Mathematical constant δ - Constant value
329. [c] <Constant value> [c] 4.0 Light speed in vacuum - Physical constant c [m/s] (m=1, s=1) - Constant value
330. [G.] <Constant value> [G.] 4.0 Gravitational constant - Physical constant G (m=1, kg=1, s=1) - Constant value
331. [g] <Constant value> [g] 4.0 Gravitational acceleration on Earth - Physical constant g [m/s²] (m=1, s=1) - Constant value
332. [hP] <Constant value> [hP] 4.0 Planck constant - Physical constant h (m=1, kg=1, s=1) - Constant value
333. [h-] <Constant value> [h-] 4.0 Reduced Planck constant (Dirac constant) - Physical constant ħ (m=1, kg=1, s=1) - Constant value
334. [lP] <Constant value> [lP] 4.0 Planck length - Physical constant lᵖ [m] (m=1) - Constant value
335. [mP] <Constant value> [mP] 4.0 Planck mass - Physical constant mᵖ [kg] (kg=1) - Constant value
336. [tP] <Constant value> [tP] 4.0 Planck time - Physical constant tᵖ [s] (s=1) - Constant value
337. [ly] <Constant value> [ly] 4.0 Light year - Astronomical constant ly [m] (m=1) - Constant value
338. [au] <Constant value> [au] 4.0 Astronomical unit - Astronomical constant au, AU [m] (m=1) - Constant value
339. [pc] <Constant value> [pc] 4.0 Parsec - Astronomical constant pc [m] (m=1) - Constant value
340. [kpc] <Constant value> [kpc] 4.0 Kiloparsec - Astronomical constant kpc [m] (m=1) - Constant value
341. [Earth-R-eq] <Constant value> [Earth-R-eq] 4.0 Earth equatorial radius - Astronomical constant Rª⊕ [m] (m=1) - Constant value
342. [Earth-R-po] <Constant value> [Earth-R-po] 4.0 Earth polar radius - Astronomical constant Rᵇ⊕ [m] (m=1) - Constant value
343. [Earth-R] <Constant value> [Earth-R] 4.0 Earth mean radius - Astronomical constant R⊕ (m=1) - Constant value
344. [Earth-M] <Constant value> [Earth-M] 4.0 Earth mass - Astronomical constant M⊕ [kg] (kg=1) - Constant value
345. [Earth-D] <Constant value> [Earth-D] 4.0 Earth-Sun distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value
346. [Moon-R] <Constant value> [Moon-R] 4.0 Moon mean radius - Astronomical constant [m] (m=1) - Constant value
347. [Moon-M] <Constant value> [Moon-M] 4.0 Moon mass - Astronomical constant [kg] (kg=1) - Constant value
348. [Moon-D] <Constant value> [Moon-D] 4.0 Moon-Earth distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value
349. [Solar-R] <Constant value> [Solar-R] 4.0 Solar mean radius - Astronomical constant R☉ [m] (m=1) - Constant value
350. [Solar-M] <Constant value> [Solar-M] 4.0 Solar mass - Astronomical constant M☉ [kg] (kg=1) - Constant value
351. [Mercury-R] <Constant value> [Mercury-R] 4.0 Mercury mean radius - Astronomical constant [m] (m=1) - Constant value
352. [Mercury-M] <Constant value> [Mercury-M] 4.0 Mercury mass - Astronomical constant [kg] (kg=1) - Constant value
353. [Mercury-D] <Constant value> [Mercury-D] 4.0 Mercury-Sun distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value
354. [Venus-R] <Constant value> [Venus-R] 4.0 Venus mean radius - Astronomical constant [m] (m=1) - Constant value
355. [Venus-M] <Constant value> [Venus-M] 4.0 Venus mass - Astronomical constant [kg] (kg=1) - Constant value
356. [Venus-D] <Constant value> [Venus-D] 4.0 Venus-Sun distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value
357. [Mars-R] <Constant value> [Mars-R] 4.0 Mars mean radius - Astronomical constant [m] (m=1) - Constant value
358. [Mars-M] <Constant value> [Mars-M] 4.0 Mars mass - Astronomical constant [kg] (kg=1) - Constant value
359. [Mars-D] <Constant value> [Mars-D] 4.0 Mars-Sun distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value
360. [Jupiter-R] <Constant value> [Jupiter-R] 4.0 Jupiter mean radius - Astronomical constant [m] (m=1) - Constant value
361. [Jupiter-M] <Constant value> [Jupiter-M] 4.0 Jupiter mass - Astronomical constant [kg] (kg=1) - Constant value
362. [Jupiter-D] <Constant value> [Jupiter-D] 4.0 Jupiter-Sun distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value
363. [Saturn-R] <Constant value> [Saturn-R] 4.0 Saturn mean radius - Astronomical constant [m] (m=1) - Constant value
364. [Saturn-M] <Constant value> [Saturn-M] 4.0 Saturn mass - Astronomical constant [kg] (kg=1) - Constant value
365. [Saturn-D] <Constant value> [Saturn-D] 4.0 Saturn-Sun distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value
366. [Uranus-R] <Constant value> [Uranus-R] 4.0 Uranus mean radius - Astronomical constant [m] (m=1) - Constant value
367. [Uranus-M] <Constant value> [Uranus-M] 4.0 Uranus mass - Astronomical constant [kg] (kg=1) - Constant value
368. [Uranus-D] <Constant value> [Uranus-D] 4.0 Uranus-Sun distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value
369. [Neptune-R] <Constant value> [Neptune-R] 4.0 Neptune mean radius - Astronomical constant [m] (m=1) - Constant value
370. [Neptune-M] <Constant value> [Neptune-M] 4.0 Neptune mass - Astronomical constant [kg] (kg=1) - Constant value
371. [Neptune-D] <Constant value> [Neptune-D] 4.0 Neptune-Sun distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value
372. [true] <Constant value> [true] 4.1 Boolean True represented as 1 (true=1) - Constant value
373. [false] <Constant value> [false] 4.1 Boolean False represented as 0 (false=0) - Constant value
374. [NaN] <Constant value> [NaN] 4.1 Not-a-Number - Constant value
375. [Uni] <Random variable> [Uni] 3.0 Uniform continuous distribution U(0,1) - Random variable
376. [Int] <Random variable> [Int] 3.0 Random integer - Random variable
377. [Int1] <Random variable> [Int1] 3.0 Uniform discrete distribution - Random integer U{-10¹,10¹} - Random variable
378. [Int2] <Random variable> [Int2] 3.0 Uniform discrete distribution - Random integer U{-10²,10²} - Random variable
379. [Int3] <Random variable> [Int3] 3.0 Uniform discrete distribution - Random integer U{-10³,10³} - Random variable
380. [Int4] <Random variable> [Int4] 3.0 Uniform discrete distribution - Random integer U{-10⁴,10⁴} - Random variable
381. [Int5] <Random variable> [Int5] 3.0 Uniform discrete distribution - Random integer U{-10⁵,10⁵} - Random variable
382. [Int6] <Random variable> [Int6] 3.0 Uniform discrete distribution - Random integer U{-10⁶,10⁶} - Random variable
383. [Int7] <Random variable> [Int7] 3.0 Uniform discrete distribution - Random integer U{-10⁷,10⁷} - Random variable
384. [Int8] <Random variable> [Int8] 3.0 Uniform discrete distribution - Random integer U{-10⁸,10⁸} - Random variable
385. [Int9] <Random variable> [Int9] 3.0 Uniform discrete distribution - Random integer U{-10⁹,10⁹} - Random variable
386. [nat] <Random variable> [nat] 3.0 Random natural number including 0 - Random variable
387. [nat1] <Random variable> [nat1] 3.0 Uniform discrete distribution - Random natural number including 0 U{0,10¹} - Random variable
388. [nat2] <Random variable> [nat2] 3.0 Uniform discrete distribution - Random natural number including 0 U{0,10²} - Random variable
389. [nat3] <Random variable> [nat3] 3.0 Uniform discrete distribution - Random natural number including 0 U{0,10³} - Random variable
390. [nat4] <Random variable> [nat4] 3.0 Uniform discrete distribution - Random natural number including 0 U{0,10⁴} - Random variable
391. [nat5] <Random variable> [nat5] 3.0 Uniform discrete distribution - Random natural number including 0 U{0,10⁵} - Random variable
392. [nat6] <Random variable> [nat6] 3.0 Uniform discrete distribution - Random natural number including 0 U{0,10⁶} - Random variable
393. [nat7] <Random variable> [nat7] 3.0 Uniform discrete distribution - Random natural number including 0 U{0,10⁷} - Random variable
394. [nat8] <Random variable> [nat8] 3.0 Uniform discrete distribution - Random natural number including 0 U{0,10⁸} - Random variable
395. [nat9] <Random variable> [nat9] 3.0 Uniform discrete distribution - Random natural number including 0 U{0,10⁹} - Random variable
396. [Nat] <Random variable> [Nat] 3.0 Random natural number - Random variable
397. [Nat1] <Random variable> [Nat1] 3.0 Uniform discrete distribution - Random natural number U{1,10¹} - Random variable
398. [Nat2] <Random variable> [Nat2] 3.0 Uniform discrete distribution - Random natural number U{1,10²} - Random variable
399. [Nat3] <Random variable> [Nat3] 3.0 Uniform discrete distribution - Random natural number U{1,10³} - Random variable
400. [Nat4] <Random variable> [Nat4] 3.0 Uniform discrete distribution - Random natural number U{1,10⁴} - Random variable
401. [Nat5] <Random variable> [Nat5] 3.0 Uniform discrete distribution - Random natural number U{1,10⁵} - Random variable
402. [Nat6] <Random variable> [Nat6] 3.0 Uniform discrete distribution - Random natural number U{1,10⁶} - Random variable
403. [Nat7] <Random variable> [Nat7] 3.0 Uniform discrete distribution - Random natural number U{1,10⁷} - Random variable
404. [Nat8] <Random variable> [Nat8] 3.0 Uniform discrete distribution - Random natural number U{1,10⁸} - Random variable
405. [Nat9] <Random variable> [Nat9] 3.0 Uniform discrete distribution - Random natural number U{1,10⁹} - Random variable
406. [Nor] <Random variable> [Nor] 3.0 Normal distribution N(0,1) - Random variable
407. @~ <Bitwise operator> @~a 4.0 Bitwise unary complement - Bitwise operator
408. @& <Bitwise operator> a @& b 4.0 Bitwise and AND - Bitwise operator
409. @^ <Bitwise operator> a @^ b 4.0 Bitwise exclusive or XOR - Bitwise operator
410. @| <Bitwise operator> a @| b 4.0 Bitwise inclusive or OR - Bitwise operator
411. @<< <Bitwise operator> a @<< b 4.0 Signed left shift - Bitwise operator
412. @>> <Bitwise operator> a @>> b 4.0 Signed right shift - Bitwise operator
413. [%] <Unit> [%] 4.0 Percentage - Ratio / Fraction = 0.01 - Dimensionless unit
414. [%%] <Unit> [%%] 4.0 Promil, Per mille - Ratio / Fraction = 0.001 - Dimensionless unit
415. [Y] <Unit> [Y] 4.0 Septillion / Yotta - Metric prefix = 10²⁴ - Dimensionless unit
416. [sept] <Unit> [sept] 4.0 Septillion / Yotta - Metric prefix = 10²⁴ - Dimensionless unit
417. [Z] <Unit> [Z] 4.0 Sextillion / Zetta - Metric prefix = 10²¹ - Dimensionless unit
418. [sext] <Unit> [sext] 4.0 Sextillion / Zetta - Metric prefix = 10²¹ - Dimensionless unit
419. [E] <Unit> [E] 4.0 Quintillion / Exa - Metric prefix = 10¹⁸ - Dimensionless unit
420. [quint] <Unit> [quint] 4.0 Quintillion / Exa - Metric prefix = 10¹⁸ - Dimensionless unit
421. [P] <Unit> [P] 4.0 Quadrillion / Peta - Metric prefix = 10¹⁵ - Dimensionless unit
422. [quad] <Unit> [quad] 4.0 Quadrillion / Peta - Metric prefix = 10¹⁵ - Dimensionless unit
423. [T] <Unit> [T] 4.0 Trillion / Tera - Metric prefix = 10¹² - Dimensionless unit
424. [tril] <Unit> [tril] 4.0 Trillion / Tera - Metric prefix = 10¹² - Dimensionless unit
425. [G] <Unit> [G] 4.0 Billion / Giga - Metric prefix = 10⁹ - Dimensionless unit
426. [bil] <Unit> [bil] 4.0 Billion / Giga - Metric prefix = 10⁹ - Dimensionless unit
427. [M] <Unit> [M] 4.0 Million / Mega - Metric prefix = 10⁶ - Dimensionless unit
428. [mil] <Unit> [mil] 4.0 Million / Mega - Metric prefix = 10⁶ - Dimensionless unit
429. [k] <Unit> [k] 4.0 Thousand / Kilo - Metric prefix = 10³ - Dimensionless unit
430. [th] <Unit> [th] 4.0 Thousand / Kilo - Metric prefix = 10³ - Dimensionless unit
431. [hund] <Unit> [hund] 4.0 Hundred / Hecto - Metric prefix = 10² - Dimensionless unit
432. [hecto] <Unit> [hecto] 4.0 Hundred / Hecto - Metric prefix = 10² - Dimensionless unit
433. [ten] <Unit> [ten] 4.0 Ten / Deca - Metric prefix = 10 - Dimensionless unit
434. [deca] <Unit> [deca] 4.0 Ten / Deca - Metric prefix = 10 - Dimensionless unit
435. [deci] <Unit> [deci] 4.0 Tenth / Deci - Metric prefix = 10⁻¹ - Dimensionless unit
436. [centi] <Unit> [centi] 4.0 Hundredth / Centi - Metric prefix = 10⁻² - Dimensionless unit
437. [milli] <Unit> [milli] 4.0 Thousandth / Milli - Metric prefix = 10⁻³ - Dimensionless unit
438. [mic] <Unit> [mic] 4.0 Millionth / Micro - Metric prefix = 10⁻⁶ - Dimensionless unit
439. [n] <Unit> [n] 4.0 Billionth / Nano - Metric prefix = 10⁻⁹ - Dimensionless unit
440. [p] <Unit> [p] 4.0 Trillionth / Pico - Metric prefix = 10⁻¹² - Dimensionless unit
441. [f] <Unit> [f] 4.0 Quadrillionth / Femto - Metric prefix = 10⁻¹⁵ - Dimensionless unit
442. [a] <Unit> [a] 4.0 Quintillionth / Atoo - Metric prefix = 10⁻¹⁸ - Dimensionless unit
443. [z] <Unit> [z] 4.0 Sextillionth / Zepto - Metric prefix = 10⁻²¹ - Dimensionless unit
444. [y] <Unit> [y] 4.0 Septillionth / Yocto - Metric prefix = 10⁻²⁴ - Dimensionless unit
445. [m] <Unit> [m] 4.0 Meter - Unit of length [m] (m=1) - Unit
446. [km] <Unit> [km] 4.0 Kilometer - Unit of length [m] (m=1) - Unit
447. [cm] <Unit> [cm] 4.0 Centimeter - Unit of length [m] (m=1) - Unit
448. [mm] <Unit> [mm] 4.0 Millimeter - Unit of length [m] (m=1) - Unit
449. [inch] <Unit> [inch] 4.0 Inch - Unit of length [m] (m=1) - Unit
450. [yd] <Unit> [yd] 4.0 Yard - Unit of length [m] (m=1) - Unit
451. [ft] <Unit> [ft] 4.0 Feet - Unit of length [m] (m=1) - Unit
452. [mile] <Unit> [mile] 4.0 Mile - Unit of length [m] (m=1) - Unit
453. [nmi] <Unit> [nmi] 4.0 Nautical mile - Unit of length [m] (m=1) - Unit
454. [m2] <Unit> [m2] 4.0 Square meter - Unit of area [m²] (m=1) - Unit
455. [cm2] <Unit> [cm2] 4.0 Square centimeter - Unit of area [m²] (m=1) - Unit
456. [mm2] <Unit> [mm2] 4.0 Square millimeter - Unit of area [m²] (m=1) - Unit
457. [are] <Unit> [are] 4.0 Are - Unit of area [m²] (m=1) - Unit
458. [ha] <Unit> [ha] 4.0 Hectare - Unit of area [m²] (m=1) - Unit
459. [acre] <Unit> [acre] 4.0 Acre - Unit of area [m²] (m=1) - Unit
460. [km2] <Unit> [km2] 4.0 Square kilometer - Unit of area [m²] (m=1) - Unit
461. [mm3] <Unit> [mm3] 4.0 Cubic millimeter - Unit of volume [m³] (m=1) - Unit
462. [cm3] <Unit> [cm3] 4.0 Cubic centimeter - Unit of volume [m³] (m=1) - Unit
463. [m3] <Unit> [m3] 4.0 Cubic meter - Unit of volume [m³] (m=1) - Unit
464. [km3] <Unit> [km3] 4.0 Cubic kilometer - Unit of volume [m³] (m=1) - Unit
465. [ml] <Unit> [ml] 4.0 Milliliter - Unit of volume [m³] (m=1) - Unit
466. [l] <Unit> [l] 4.0 Liter - Unit of volume [m³] (m=1) - Unit
467. [gall] <Unit> [gall] 4.0 Gallon - Unit of volume [m³] (m=1) - Unit
468. [pint] <Unit> [pint] 4.0 Pint - Unit of volume [m³] (m=1) - Unit
469. [s] <Unit> [s] 4.0 Second - Unit of time [s] (s=1) - Unit
470. [ms] <Unit> [ms] 4.0 Millisecond - Unit of time [s] (s=1) - Unit
471. [min] <Unit> [min] 4.0 Minute - Unit of time [s] (s=1) - Unit
472. [h] <Unit> [h] 4.0 Hour - Unit of time [s] (s=1) - Unit
473. [day] <Unit> [day] 4.0 Day - Unit of time [s] (s=1) - Unit
474. [week] <Unit> [week] 4.0 Week - Unit of time [s] (s=1) - Unit
475. [yearj] <Unit> [yearj] 4.0 Julian year = 365.25 days - Unit of time [s] (s=1) - Unit
476. [kg] <Unit> [kg] 4.0 Kilogram - Unit of mass [kg] (kg=1) - Unit
477. [gr] <Unit> [gr] 4.0 Gram - Unit of mass [kg] (kg=1) - Unit
478. [mg] <Unit> [mg] 4.0 Milligram - Unit of mass [kg] (kg=1) - Unit
479. [dag] <Unit> [dag] 4.0 Decagram - Unit of mass [kg] (kg=1) - Unit
480. [t] <Unit> [t] 4.0 Tonne - Unit of mass [kg] (kg=1) - Unit
481. [oz] <Unit> [oz] 4.0 Ounce - Unit of mass [kg] (kg=1) - Unit
482. [lb] <Unit> [lb] 4.0 Pound - Unit of mass [kg] (kg=1) - Unit
483. [b] <Unit> [b] 4.0 Bit - Unit of information [bit] (bit=1) - Unit
484. [kb] <Unit> [kb] 4.0 Kilobit - Unit of information [bit] (bit=1) - Unit
485. [Mb] <Unit> [Mb] 4.0 Megabit - Unit of information [bit] (bit=1) - Unit
486. [Gb] <Unit> [Gb] 4.0 Gigabit - Unit of information [bit] (bit=1) - Unit
487. [Tb] <Unit> [Tb] 4.0 Terabit - Unit of information [bit] (bit=1) - Unit
488. [Pb] <Unit> [Pb] 4.0 Petabit - Unit of information [bit] (bit=1) - Unit
489. [Eb] <Unit> [Eb] 4.0 Exabit - Unit of information [bit] (bit=1) - Unit
490. [Zb] <Unit> [Zb] 4.0 Zettabit - Unit of information [bit] (bit=1) - Unit
491. [Yb] <Unit> [Yb] 4.0 Yottabit - Unit of information [bit] (bit=1) - Unit
492. [B] <Unit> [B] 4.0 Byte - Unit of information [bit] (bit=1) - Unit
493. [kB] <Unit> [kB] 4.0 Kilobyte - Unit of information [bit] (bit=1) - Unit
494. [MB] <Unit> [MB] 4.0 Megabyte - Unit of information [bit] (bit=1) - Unit
495. [GB] <Unit> [GB] 4.0 Gigabyte - Unit of information [bit] (bit=1) - Unit
496. [TB] <Unit> [TB] 4.0 Terabyte - Unit of information [bit] (bit=1) - Unit
497. [PB] <Unit> [PB] 4.0 Petabyte - Unit of information [bit] (bit=1) - Unit
498. [EB] <Unit> [EB] 4.0 Exabyte - Unit of information [bit] (bit=1) - Unit
499. [ZB] <Unit> [ZB] 4.0 Zettabyte - Unit of information [bit] (bit=1) - Unit
500. [YB] <Unit> [YB] 4.0 Yottabyte - Unit of information [bit] (bit=1) - Unit
501. [J] <Unit> [J] 4.0 Joule - Unit of energy [J] (m=1, kg=1, s=1) - Unit
502. [eV] <Unit> [eV] 4.0 Electronovolt - Unit of energy [J] (m=1, kg=1, s=1) - Unit
503. [keV] <Unit> [keV] 4.0 Kiloelectronovolt - Unit of energy [J] (m=1, kg=1, s=1) - Unit
504. [MeV] <Unit> [MeV] 4.0 Megaelectronovolt - Unit of energy [J] (m=1, kg=1, s=1) - Unit
505. [GeV] <Unit> [GeV] 4.0 Gigaelectronovolt - Unit of energy [J] (m=1, kg=1, s=1) - Unit
506. [TeV] <Unit> [TeV] 4.0 Teraelectronovolt - Unit of energy [J] (m=1, kg=1, s=1) - Unit
507. [m/s] <Unit> [m/s] 4.0 Meter per second - Unit of speed [m/s] (m=1, s=1) - Unit
508. [km/h] <Unit> [km/h] 4.0 Kilometer per hour - Unit of speed [m/s] (m=1, s=1) - Unit
509. [mi/h] <Unit> [mi/h] 4.0 Mile per hour - Unit of speed [m/s] (m=1, s=1) - Unit
510. [knot] <Unit> [knot] 4.0 Knot - Unit of speed [m/s] (m=1, s=1) - Unit
511. [m/s2] <Unit> [m/s2] 4.0 Meter per square second - Unit of acceleration [m/s²] (m=1, s=1) - Unit
512. [km/h2] <Unit> [km/h2] 4.0 Kilometer per square hour - Unit of acceleration [m/s²] (m=1, s=1) - Unit
513. [mi/h2] <Unit> [mi/h2] 4.0 Mile per square hour - Unit of acceleration [m/s²] (m=1, s=1) - Unit
514. [rad] <Unit> [rad] 4.0 Radian - Unit of angle [rad] (rad=1) - Unit
515. [deg] <Unit> [deg] 4.0 Degree of arc - Unit of angle [rad] (rad=1) - Unit
516. ['] <Unit> ['] 4.0 Minute of arc - Unit of angle [rad] (rad=1) - Unit
517. [''] <Unit> [''] 4.0 Second of arc - Unit of angle [rad] (rad=1) - Unit
518. ( <Parser symbol> ( ... ) 1.0 Left parentheses - Parser symbol
519. ) <Parser symbol> ( ... ) 1.0 Right parentheses - Parser symbol
520. , <Parser symbol> (a1, ... ,an) 1.0 Comma (function parameters) - Parser symbol
521. ; <Parser symbol> (a1; ... ;an) 1.0 Semicolon (function parameters) - Parser symbol
522. <Parser symbol> 4.2 Blank (whitespace) character - Parser symbol
Case 2: In-line help searching – “sine” simple keyword
[mXparser-v.5.2.0] Help content limited to query: 'sine'
# Keyword Type Syntax Since Description
- -------- ---- ------ ----- -----------
1. sin <Unary function> sin(x) 1.0 Trigonometric sine - Unary function
2. cos <Unary function> cos(x) 1.0 Trigonometric cosine - Unary function
3. asin <Unary function> asin(x) 1.0 Inverse trigonometric sine - Unary function
4. arsin <Unary function> arsin(x) 1.0 Inverse trigonometric sine - Unary function
5. arcsin <Unary function> arcsin(x) 1.0 Inverse trigonometric sine - Unary function
6. acos <Unary function> acos(x) 1.0 Inverse trigonometric cosine - Unary function
7. arcos <Unary function> arcos(x) 1.0 Inverse trigonometric cosine - Unary function
8. arccos <Unary function> arccos(x) 1.0 Inverse trigonometric cosine - Unary function
9. sinh <Unary function> sinh(x) 1.0 Hyperbolic sine - Unary function
10. cosh <Unary function> cosh(x) 1.0 Hyperbolic cosine - Unary function
11. asinh <Unary function> asinh(x) 1.0 Inverse hyperbolic sine - Unary function
12. arsinh <Unary function> arsinh(x) 1.0 Inverse hyperbolic sine - Unary function
13. arcsinh <Unary function> arcsinh(x) 1.0 Inverse hyperbolic sine - Unary function
14. acosh <Unary function> acosh(x) 1.0 Inverse hyperbolic cosine - Unary function
15. arcosh <Unary function> arcosh(x) 1.0 Inverse hyperbolic cosine - Unary function
16. arccosh <Unary function> arccosh(x) 1.0 Inverse hyperbolic cosine - Unary function
Case 3: Advanced help searching – “desc=inver” query
[mXparser-v.5.2.0] Help content limited to query: 'desc=inver'
# Keyword Type Syntax Since Description
- -------- ---- ------ ----- -----------
1. asin <Unary function> asin(x) 1.0 Inverse trigonometric sine - Unary function
2. arsin <Unary function> arsin(x) 1.0 Inverse trigonometric sine - Unary function
3. arcsin <Unary function> arcsin(x) 1.0 Inverse trigonometric sine - Unary function
4. acos <Unary function> acos(x) 1.0 Inverse trigonometric cosine - Unary function
5. arcos <Unary function> arcos(x) 1.0 Inverse trigonometric cosine - Unary function
6. arccos <Unary function> arccos(x) 1.0 Inverse trigonometric cosine - Unary function
7. atg <Unary function> atg(x) 1.0 Inverse trigonometric tangent - Unary function
8. atan <Unary function> atan(x) 1.0 Inverse trigonometric tangent - Unary function
9. arctg <Unary function> arctg(x) 1.0 Inverse trigonometric tangent - Unary function
10. arctan <Unary function> arctan(x) 1.0 Inverse trigonometric tangent - Unary function
11. actg <Unary function> actg(x) 1.0 Inverse trigonometric cotangent - Unary function
12. acot <Unary function> acot(x) 1.0 Inverse trigonometric cotangent - Unary function
13. actan <Unary function> actan(x) 1.0 Inverse trigonometric cotangent - Unary function
14. arcctg <Unary function> arcctg(x) 1.0 Inverse trigonometric cotangent - Unary function
15. arccot <Unary function> arccot(x) 1.0 Inverse trigonometric cotangent - Unary function
16. arcctan <Unary function> arcctan(x) 1.0 Inverse trigonometric cotangent - Unary function
17. asinh <Unary function> asinh(x) 1.0 Inverse hyperbolic sine - Unary function
18. arsinh <Unary function> arsinh(x) 1.0 Inverse hyperbolic sine - Unary function
19. arcsinh <Unary function> arcsinh(x) 1.0 Inverse hyperbolic sine - Unary function
20. acosh <Unary function> acosh(x) 1.0 Inverse hyperbolic cosine - Unary function
21. arcosh <Unary function> arcosh(x) 1.0 Inverse hyperbolic cosine - Unary function
22. arccosh <Unary function> arccosh(x) 1.0 Inverse hyperbolic cosine - Unary function
23. atgh <Unary function> atgh(x) 1.0 Inverse hyperbolic tangent - Unary function
24. atanh <Unary function> atanh(x) 1.0 Inverse hyperbolic tangent - Unary function
25. arctgh <Unary function> arctgh(x) 1.0 Inverse hyperbolic tangent - Unary function
26. arctanh <Unary function> arctanh(x) 1.0 Inverse hyperbolic tangent - Unary function
27. acoth <Unary function> acoth(x) 1.0 Inverse hyperbolic cotangent - Unary function
28. actgh <Unary function> actgh(x) 1.0 Inverse hyperbolic cotangent - Unary function
29. actanh <Unary function> actanh(x) 1.0 Inverse hyperbolic cotangent - Unary function
30. arcoth <Unary function> arcoth(x) 1.0 Inverse hyperbolic cotangent - Unary function
31. arccoth <Unary function> arccoth(x) 1.0 Inverse hyperbolic cotangent - Unary function
32. arcctgh <Unary function> arcctgh(x) 1.0 Inverse hyperbolic cotangent - Unary function
33. arcctanh <Unary function> arcctanh(x) 1.0 Inverse hyperbolic cotangent - Unary function
34. asech <Unary function> asech(x) 1.0 Inverse hyperbolic secant - Unary function
35. arsech <Unary function> arsech(x) 1.0 Inverse hyperbolic secant - Unary function
36. arcsech <Unary function> arcsech(x) 1.0 Inverse hyperbolic secant - Unary function
37. acsch <Unary function> acsch(x) 1.0 Inverse hyperbolic cosecant - Unary function
38. arcsch <Unary function> arcsch(x) 1.0 Inverse hyperbolic cosecant - Unary function
39. arccsch <Unary function> arccsch(x) 1.0 Inverse hyperbolic cosecant - Unary function
40. acosech <Unary function> acosech(x) 1.0 Inverse hyperbolic cosecant - Unary function
41. arcosech <Unary function> arcosech(x) 1.0 Inverse hyperbolic cosecant - Unary function
42. arccosech <Unary function> arccosech(x) 1.0 Inverse hyperbolic cosecant - Unary function
43. erfInv <Unary function> erfInv(x) 3.0 Inverse Gauss error - Special function erf⁻¹(y) - Unary function
44. erfcInv <Unary function> erfcInv(x) 3.0 Inverse Gauss complementary error - Special function erfc⁻¹(x) - Unary function
45. arcsec <Unary function> arcsec(x) 4.1 Inverse trigonometric secant - Unary function
46. arccsc <Unary function> arccsc(x) 4.1 Inverse trigonometric cosecant - Unary function
Your own (user defined) constants, functions, arguments, will appear in the help content as well.
Nuget – Package Manager (C#, F#, Visual Basic, …)
Install-Package MathParser.org-mXparser -Version 6.1.0
dotnet add package MathParser.org-mXparser --version 6.1.0
<PackageReference Include="MathParser.org-mXparser" Version="6.1.0"/>
Maven – Dependency (Java, Kotlin, Scala, Groovy, …)
<dependency>
<groupid>org.mariuszgromada.math</groupid>
<artifactid>MathParser.org-mXparser</artifactid>
<version>6.1.0</version>
</dependency>
Maven – Gradle
implementation 'org.mariuszgromada.math:MathParser.org-mXparser:6.1.0'
CMake – Dependency / FetchContent (C++, MSVC, LLVM/Clang, GNU/GCC, MinGW, MSYS2, WSL, Windows, Linux, Unix, MacOS)
include(FetchContent)
FetchContent_Declare(
MathParserOrgMxParser
GIT_REPOSITORY https://github.com/mariuszgromada/MathParser.org-mXparser.git
GIT_TAG v.6.1.0
SOURCE_SUBDIR CURRENT/cpp/lib
)
FetchContent_MakeAvailable(MathParserOrgMxParser)
target_link_libraries(YourExecutable MathParserOrgMxParser)
GitHub
git clone https://github.com/mariuszgromada/MathParser.org-mXparser
OTHER DOWNLOAD OPTIONS
Download latest release – v.6.1.0 Sagitara: .NET bin onlyDownload latest release – v.6.1.0 Sagitara: JAVA bin onlyDownload latest release – v.6.1.0 Sagitara: bin + doc
NEWS FROM MATHPARSER.ORG
SOURCE CODE
Source code .zipSource code .tar.gz
View on GitHubMathSpace.pl
