AI Math Handbook Calculator
 Computer Algebra System of Fractional Calculus
Button  To do 

Clear input  
symbolic answer  
JavaScript numeric answer  
1st row  algebra 
simplify `sin^((0.5))(x)`  
expand `(x1)^2`  
factor `(x^21)`  
combine `(11/x)`  
convert sin(x) to exp(x)  
convert asin(x) to log(x)  
convert exp(x) to sin(x)  
convert sin(x) to sinh(x)  
convert 2i to complex() comvert 2i to complex(2,1)  
inverse( sin(x) )  
2nd row  calculus: default variable is x 
convert sin(x) to integral definition  
differentiate `d/dx sin(x)`  
integrate ∫ sin(x) dx  
infinite integration `int_0^oo ( exp(x) ) dx`  
nth derivative formula `d^n/dx^n sin(x)`  
semiderivative `d^(0.5)/dx^(0.5) sin(x)`  
semiintegrate `d^(0.5)/dx^(0.5) sin(x)`  
ODE
solve ordinary differential equation for y, ODE( y'yx^x=0), 

PDE
solve partial differential equation for y, PDE( ds(y,t)ds(y,x)=0), 

test solution for equation and diff equation  
3th row  discrete math: default index variable is k 
convert sin(x) to series definition  
Taylor series expansion taylor(sin(x))  
series( sin(x) )  
difference Δ`k^2`  
Indefinite sum ∑ 1/k^6  
partial sum `sum_(k=0)^n` k  
partial sum `sum_(k=1)^n` k  
infinite sum sum( x^k/k! as k>oo )  
infinite sum `sum_(k=1)^oo x^k/k`  
laplace laplace(x) transform laplace(x)  
fsolve solve functional equation for f(x) f(x+1)f(x)=x  
rsolve solve recurrence equation for y(x) y(x+1)y(x)=x  
4th row  Numeric math 
definition( sinh(x) )  
limit lim( sin(x)/x as x>0 )  
limoo limit( log(x)/x as x>oo )  
numeric limit `lim _(x>0) sin(x)/x`  
numeric integrate `int _0^1` sin(x) dx  
numeric sum `sum _(x=1)^8` x  
numeric solve equation nsolve`( x^21=0 )`  
solve equation for x, solve( exp(x)+exp(x)=4 )  
solver system of equations for x,y solver( exp(x)+exp(x)==4 )  
complex matrix calculator  
numeric answer  
5th row  Interactive Plot: zoom by mouse wheel 
plot sin(x) and `x^2`  
parametric plot parametricplot( x=sin(t) , y=cos(2*t) )  
contour contour(sin(x))  
implicit plot `x^2+y^2=1 and x^2+y^2=4`  
polar plot polarplot(sin(4*x))  
overlap plot sin(x)  
complex plot z complexplot(z)  
6th row  Interactive Plot 2D: zoom by mouse wheel 
plot2D (sin(x)) show diff and integral curves  
parametric curve in 2D  
contour plane surface in 2D  
diff2D (sin(x))  
integrate2D (sin(x))  
seimd2D (sin(x))  
ode plot graphically solve y'=sin(x)  
re2D(sqrt(x)) show 2 curves of real and imaginary in real variables  
im2D(sqrt(x)) show 2 curves of real and imaginary in imag variables  
7th row  2D + 3D Plot: zoom by mouse wheel 
plot3D(sin(x))  
parametric3D(t,t,t)  
contour3D(x*y)  
implicit3D(x*y*zt)  
wireframe3D(x*y) wireframe in 3D  
parametric curve in 3D  
complex3D(sqrt(x)) show complex function in complex variables  
Show function graph. sin ?  
AI chat GPT ??  
8th row  Interactive Plot 3D : zoom by mouse wheel 
surface3D(x*y) surface in 3D  
function3D(sin(x)) surface in 3D  
section3D(x*y) in 4 graphs  
spin3D(sin(x)) in 4 graphs  
graph3D(x) in 10 styles  
for equation, vector, point, parametric, vector field  
data3D(x,y,z,c,t) 3D, 4D, 5D data in 10 styles  
for explicit surface, polar explicit surface, implicit surface, line, parametric curve, parametric surface, point, vector, vector field, toggle switch, variable, function, variable slider  
clear x  
All Clear memory clear(0) 
First line of buttons are for algebra to return function, second line of button are for calculus to return function, third line of buttions are for discrete math with default index variable k to return value, forth line of buttions are for numeric compution to return number. 5th and 6th line of buttions are to plot2D graph. 7th and 8th lines of buttion are to plot3D graph. The same color buttons are a pair of inverse operators, its result can be checked each other if it returns origial function or not.
MathHandbook
the AI Math Handbook Calculator has the function of machine learning. It is unique in the world to solve the function of any order (such as complex order) differential equations. Enter mathematical formulas on the Mathematics Handbook website, click continuously to calculate calculus, solve equations, give analytical solutions and numerical solutions and diagrams, interactively zoom in the drawing, and zoom in with the mouse wheel. You can use it on your mobile phone to learn computing and development anytime, anywhere.
http://mathhand.com
It has three versions:
 Phone version: run on any phone online. It does not requires to download anything.
 Java version: Java Applet run on any computer that support Java online and offline. Please contact us if you want it.
 PC version: DOS version run on PC. Its old name is SymbMath, you can download it.
SymbMath  PC DOS version of symbolic computation Computer Algebra System.
Rules:
put function arguments in parentheses: sin(x)  correct, sin x  incorrect; do not omit multiplication: x*sin(x)  correct, x sin(x)  incorrect. x**y or pow(x,y) for power. Usual keywords are lowercase, which are different from uppercase, e.g. sin is different from Sin. Its default variable is small letter x, but its default index variable in discrete math is k.
How to use?
see help
Example:
Please read its example and manual of symbolic computation Computer Algebra System.
Question?
Please post bugs to forum, or ask chat PGTSee Also
 Math  Symbol  Handbook  math word
 Elementary Math  Higher Math
 Calculator  mathHand  mathHandbook
 Function  Formula  equation  graphics
 Fractional Calculus  differential equation
 Tests  Example :
Function
absacos
acosh
acot
acoth
acsc
acsch
Ai
airyAi
airyBi
angle
area
arg
argument
asec
asech
asin
asinh
assume
atan
atan2
atanh
arccos
arccosh
arccot
arccoth
arccsc
arccsch
arcsec
arcsech
arcsin
arcsinh
arctan
arctanh
Bi
beta
smallbeta
bell
bernoulli
binomial
block
C
catalan
cbrt
ceil
ci
circle
cis
Cl
Clausen
chi
combination
combine
complete d
complex
complex2D
complex3D
conjugate
convert
cos
cosh
csc
csch
csgn
d
data3D
Dawson
Dawsonm
def
define
definition
delta
diff
difference
digamma
dilog
doublefactorial
ds
dsolve
E
Ei
Ein
En
evaluate
eta
erf
erfc
erfi
euler
exp
expand
expandexp
expandtrig
factor
factorial
factorial2
factorialpower
fallingfactorial
fib
fibonacci
floor
fsolve
For
for
fourier
fresnelC
fresnelS
Gamma
gamma
smallgamma
GammaQ
gammaP
gauss
gaussi
gaussian
gcd
gsolution
graph3D
If
if
im
infint
infints
infsum
infsums
int
integral
integrate
integrates
integrator
inverse
inverseerf
inverseerfc
inversefactorial
inverseGamma
inverselaplace
inverseW
isatom
isconstant
iscomplex
isfloat
iseven
isfree
isfunction
isinteger
isnumber
isodd
isprime
L
lamberW
lucas
laplace
lasolve
last
left
length
Lerch
lg
li
list
lim
limit
limoo
ln
log
log10
logBeta
logGamma
loggamma
n
name
nextprime
nint
nlim
not
nsolve
nsum
nthd
nthRoot
P
Phi
parametricplot
partialsum
pde
PDE
pdsolve
plot
plot2D
plot3D
pochhammer
polar
polard
polarplot
poly
polyroot
polygamma
polylog
point
pow
power
powermod
prime
prod
product
psi
psolve
psolution
psum
random
range
re
real
recurrence
remainder
replace
right
risingfactorial
rsolve
round
root
S
sec
sech
section3D
semicircle
semid
semid2D
semiint
series
sgn
Si
sign
simplify
sin
sinc
sinh
size
smallgamma
solve
sort
Sophomore
sqrt
Stirling1
Stirling2
sum
sum0inf
sum0n
sum1inf
sum1n
swap
tan
tani
tanh
tangent
tangent plot
taylor
taylor2D
test
theta
timer
tocomplex
tocos
tocosh
todegree
toerf
toexp
togamma
tofactorial
tolog
toint
tointegral
tomittag
tosum
toparfrac
topolar
topolard
topoly
topolyroot
topow
topower
tosin
tosinh
toradian
totrig
totrigh