Calculus & analysis symbols

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Symbol: $lim_{x o x0}f(x)$

Symbol Name: limit

Meaning / definition: limit value of a function

Example:

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Symbol: ε

Symbol Name: epsilon

Meaning / definition: represents a very small number, near zero

Example: ε → 0

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Symbol: e

Symbol Name: e constant / Euler's number

Meaning / definition: e = 2.718281828...

Example: e = lim (1+1/x)^x , x→∞

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Symbol: y '

Symbol Name: derivative

Meaning / definition: derivative - Lagrange's notation

Example: (3x³)' = 9x²

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Symbol: y ''

Symbol Name: second derivative

Meaning / definition: derivative of derivative

Example: (3x³)'' = 18x

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Symbol: y⁽ⁿ⁾

Symbol Name: nth derivative

Meaning / definition: n times derivation

Example: (3x³)⁽³⁾ = 18

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Symbol:

Symbol Name: derivative

Meaning / definition: derivative - Leibniz's notation

Example: d(3x³)/dx = 9x²

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Symbol: $rac{d^2y}{dx^2}$

Symbol Name: second derivative

Meaning / definition: derivative of derivative

Example: d²(3x³)/dx² = 18x

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Symbol: $rac{d^ny}{dx^n}$

Symbol Name: nth derivative

Meaning / definition: n times derivation

Example:

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Symbol:

Symbol Name: time derivative

Meaning / definition: derivative by time - Newton's notation

Example:

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Symbol:

Symbol Name: time second derivative

Meaning / definition: derivative of derivative

Example:

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Symbol: D_xy

Symbol Name: derivative

Meaning / definition: derivative - Euler's notation

Example:

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Symbol: D_x²y

Symbol Name: second derivative

Meaning / definition: derivative of derivative

Example:

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Symbol:

Symbol Name: partial derivative

Meaning / definition:

Example: ∂(x²+y²)/∂x = 2x

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Symbol: ∫

Symbol Name: integral

Meaning / definition: opposite to derivation

Example: ∫ f(x)dx

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Symbol: ∫∫

Symbol Name: double integral

Meaning / definition: integration of function of 2 variables

Example: ∫∫ f(x,y)dxdy

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Symbol: ∫∫∫

Symbol Name: triple integral

Meaning / definition: integration of function of 3 variables

Example: ∫∫∫ f(x,y,z)dxdydz

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Symbol: ∮

Symbol Name: closed contour / line integral

Meaning / definition:

Example:

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Symbol: ∯

Symbol Name: closed surface integral

Meaning / definition:

Example:

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Symbol: ∰

Symbol Name: closed volume integral

Meaning / definition:

Example:

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