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Engineering

Mechanical Engineering

Dynamics

Acceleration
Acceleration (rectilinear)
Angular momentum of a particle
Circular planar motion of a particle in polar coordinates
⌨Coefficient of restitution
Conservation of linear momentum
Damped natural frequency
Differential equations of motion (rectilinear)
Equation of motion for damped forced vibration
Equation of motion for damped free vibration
Equation of motion for undamped forced vibration
Equation of motion for undamped free vibration
⌨Gravitational potential energy
⌨Hooke's law
Inertia tensor
⌨Kinetic energy (fixed-axis rotation)
⌨Kinetic energy (planar motion)
⌨Kinetic energy (translation)
Linear impulse
⌨Linear momentum
Moment of inertia
Newton's first law of motion
⌨Newton's second law of motion
Newton's second law of motion (variable-mass systems)
Newton's third law of motion
⌨Parallel axis theorem
Planar motion of a particle in Cartesian coordinates
Power
Relative acceleration
Relative acceleration on a rigid body due to rotation
Relative acceleration with respect to a rotating coordinate system
Relative velocity
Relative velocity on a rigid body due to rotation
Relative velocity with respect to a rotating coordinate system
Velocity
Velocity (rectilinear)
⌨Weight

Science

Mathematics

Area (geometry)

⌨Area of a circle
⌨Area of a parallelogram
⌨Area of a rectangle
⌨Area of a regular hexagon
⌨Area of a regular octagon
Area of a regular polygon
⌨Area of a square
⌨Area of a trapezoid
⌨Area of a triangle
⌨Area of an ellipse
⌨Surface area of a cone
⌨Surface area of a cube
⌨Surface area of a cylinder
⌨Surface area of a rectangular prism
⌨Surface area of a regular tetrahedron
⌨Surface area of a sphere

Calculus

Chain rule
Chain rule (Leibniz notation)
Derivative definition
Inverse power rule
Linearity of differentiation
Linearity of differentiation (Leibniz notation)
Linearity of integration
Power rule
Product rule
Product rule (Leibniz notation)
Quotient rule
Riemann sum
Second fundamental theorem of calculus
Simpson's rule

Mathematical constants

Euler's number
Golden ratio
Imaginary unit
Pi (Archimedes' constant)

Taylor series

Arctangent Taylor series
Cosine Taylor series
Exponential Taylor series
Geometric Taylor series
Natural logarithm Taylor series
Sine Taylor series

Trigonometric function derivatives

Derivative of arccosecant
Derivative of arccosine
Derivative of arccotangent
Derivative of arcsecant
Derivative of arcsine
Derivative of arctangent
Derivative of cosecant
Derivative of cosine
Derivative of cotangent
Derivative of secant
Derivative of sine
Derivative of tangent

Trigonometric functions

⌨Cosecant
⌨Cosine
⌨Cotangent
⌨Secant
⌨Sine
⌨Tangent

Trigonometric identities

Cosecant
Cosine double-angle formula
Cosine sum and difference identity
Cosine triple-angle formula
Cotangent
Cotangent double-angle formula
Cotangent triple-angle formula
Pythagorean identity
Pythagorean identity (cotangent and cosecant)
Pythagorean identity (tangent and secant)
Secant
Sine double-angle formula
Sine sum and difference identity
Sine triple-angle formula
Tangent
Tangent double-angle formula
Tangent sum and difference identity
Tangent triple-angle formula
Trigonometric functions shifts and periodicity
Trigonometric functions symmetry

Trigonometric laws and theorems

⌨Law of cosines
Law of cotangents
⌨Law of sines
Law of tangents
⌨Pythagorean theorem
⌨Pythagorean theorem hypotenuse solution

Volume (geometry)

⌨Volume of a cone
⌨Volume of a cube
⌨Volume of a cylinder
⌨Volume of a rectangular prism
⌨Volume of a regular tetrahedron
⌨Volume of a sphere
⌨Volume of an ellipsoid

Physics

Physical constants

Avagadro constant
Boltzmann constant
Electron mass
Elementary charge
Gravitational constant
Impedance of free space
Neutron mass
Planck constant
Planck length
Planck mass
Planck temperature
Planck time
Proton mass
Speed of light in a vacuum
Vacuum permeability
Vacuum permittivity