Calculus & analysis math symbols table
Symbol | Symbol Name | Meaning / definition | Example |
---|---|---|---|
limit | limit value of a function | ||
ε | epsilon | represents a very small number, near zero | ε → 0 |
e | e constant / Euler's number | e = 2.718281828... | e = lim (1+1/x)^{x} , x→∞ |
y ' | derivative | derivative - Lagrange's notation | (3x^{3})' = 9x^{2} |
y '' | second derivative | derivative of derivative | (3x^{3})'' = 18x |
y^{(n)} | nth derivative | n times derivation | (3x^{3})^{(3)} = 18 |
derivative | derivative - Leibniz's notation | d(3x^{3})/dx = 9x^{2} | |
second derivative | derivative of derivative | d^{2}(3x^{3})/dx^{2} = 18x | |
nth derivative | n times derivation | ||
time derivative | derivative by time - Newton's notation | ||
time second derivative | derivative of derivative | ||
D_{x }y | derivative | derivative - Euler's notation | |
D_{x}^{2}y | second derivative | derivative of derivative | |
partial derivative | ∂(x^{2}+y^{2})/∂x = 2x | ||
∫ | integral | opposite to derivation | |
∬ | double integral | integration of function of 2 variables | |
∭ | triple integral | integration of function of 3 variables | |
∮ | closed contour / line integral | ||
∯ | closed surface integral | ||
∰ | closed volume integral | ||
[a,b] | closed interval | [a,b] = {x | a ≤ x ≤ b} | |
(a,b) | open interval | (a,b) = {x | a < x < b} | |
i | imaginary unit | i ≡ √-1 | z = 3 + 2i |
z* | complex conjugate | z = a+bi → z*=a-bi | z* = 3 + 2i |
z | complex conjugate | z = a+bi → z = a-bi | z = 3 + 2i |
Re(z) | real part of a complex number | z = a+bi → Re(z)=a | Re(3 - 2i) = 3 |
Im(z) | imaginary part of a complex number | z = a+bi → Im(z)=b | Im(3 - 2i) = -2 |
| z | | absolute value/magnitude of a complex number | |z| = |a+bi| = √(a^{2}+b^{2}) | |3 - 2i| = √13 |
arg(z) | argument of a complex number | The angle of the radius in the complex plane | arg(3 + 2i) = 33.7° |
∇ | nabla / del | gradient / divergence operator | ∇f (x,y,z) |
vector | |||
unit vector | |||
x * y | convolution | y(t) = x(t) * h(t) | |
Laplace transform | F(s) = {f (t)} | ||
Fourier transform | X(ω) = {f (t)} | ||
δ | delta function | ||
∞ | lemniscate | infinity symbol |
Currently, we have around 935 calculators, conversion tables and usefull online tools and features to make your life easier or simply help you to do your work or duties faster and in more effective way. These below are the most commonly used by many users at all
- Free online calculators and tools
- Free online units conversion tools
- Free online web design tools
- Free online electricity & electronics tools
- Mathematics
- Online Tools
- Text Tools
- PDF Tools
- Code
- Ecology
- Numbers
- Algebra
- Trigonometry
- Probability & Statistics
- Calculus & analysis
- Mathematical symbols
- Basic math symbols
- Equals sign
- Plus sign
- Minus sign
- Asterisk sign
- Times sign
- Multiplication dot
- Division sign
- Algebra symbols
- Geometry symbols
- Statistical symbols
- Logic symbols
- Set theory symbols
- Calculus symbols
- Number symbols
- Greek alphabet
- Roman numerals
- Infinity symbol
- Is infinity a real number
- Infinity symbol ALT code
- Infinity symbol on mac
- Infinity symbol on keyboard
- Infinity symbol on Facebook
- Infinity symbol in MS Word
And we are still developing more. Our goal is to become the one-stop, go-to site for people who need to make quick calculations or who need to find quick answer for basic conversions.
Additionally, we believe the internet should be a source of free information. Therefore, all of our tools and services are completely free, with no registration required. We coded and developed each calculator individually and put each one through strict, comprehensive testing. However, please inform us if you notice even the slightest error – your input is extremely valuable to us. While most calculators on Justfreetools.com are designed to be universally applicable for worldwide usage, some are for specific countries only.