Science Equations    Aa     Acceleration (Simple Harmonic Motion)   a = - ω 2 x     a = - ω 2 r sin ( ωt ) Action   2 ∫ t 1 t 2 E ⅆ t Acutance   G X D B - D A Adiabatic Change   p ⁢ V γ = const . Age Theory   ∇ 2 q - δq δτ = 0 Allen Equation   ρ = K r n p μ 2 - n v n Alternating Current   I = I 0 sin ( ω ⁢ t + φ ) Alternating Voltage   V = V 0   sin ( ω ⁢ t + φ ) Ampère's Law     B . ⁢ d ⁢ I = μ 0 I   C   Angle of Minimum Deviation   n = sin 1 2 ( a + θ ) sin 1 2 Apjohn's Formula   p t = p w - 0.00075 H ( t - t W ) ( 1 - 0.008 ( t - t W ) ) Area Expansivity, Superficial Expansivity   β = 2 α Angular Displacement   θ = s r Angular Magnification   A ⁢ M = α a α u = ( 1 - S 1 f ) d 0 L Angular Momentum   M = I ⁢ ω Angular Velocity (Motion in a Circle)   ω = θ t Angular and Linear Velocity (Motion in a Circle)   v = ⁢ ω ⁢ r Area of a Circle   A = π r 2 = 1 2 c ⁢ r Area of an Ellipse   A = π ⁢ a ⁢ ⁢ b Area of an Equilateral Triangle   A = 1 4 3 a 2 Area of a Parallelogram   A = b ⁢ h = a ⁢ b ⁢ sin ⁢ A Area of a Quadrilateral   A = 1 2 p ⁢ q ⁢ sin ⁢ θ Area of a Rectangle   A = a ⁢ b Area of a Regular Polygon   A = n ⁢ s ⁢ r 2 ⁢ ⁢         = 1 4 n ⁢ s 2 ⁢ cot ( π n ) Area of a Rhombus   A = 1 2 p ⁢ q Area of a Sector   A = 1 2 r ⁢ s = 1 2 ⁢ r 2 θ Area of a Segment   A = 1 2 ( r ⁢ s - c ⁢ d ) Area of a Square   A = x 2 Area of a Trapezoid   A = 1 2 h ( a + b ) Area of a Triangle   A ⁢   =   1 2 ⁢   x ⁢ h ⁢   =     1 2 ⁢ a ⁢ b ⁢   sin ⁢   C A ⁢   =     s ( s ⁢ −   a )   ( s ⁢ &-ThinSpace; − b )   ( s ⁢ - c ) Arithmetic Mean   x ¯ = 1 N Σ i = 1 N   x i Arrhenius's Rate Equation   k = A ⁢   exp ( - E a / R ⁢ T ) Artificial Feel   q = 1 2 e v 2 Atomic Absorption Coefficient   μ = 1 V ∑ i n i ( μ a ) i Attwood's Formula   = W ( v ⁢ h ⁢ h 1 V ± B ⁢ G ⁢ sin ⁢ θ ) Average Current   1 n ∑ j = 1 n | x j - x ¯ | Avrami Equation   χ = 1 - exp ( - k ⁢ t n )               Bb       Balance Equation   ∇ 2 φ = f ∇ 2 φ + ∇ φ · ∇ f + 2 ( &partial; 2 φ &partial; x 2 &partial; 2 φ &partial; y 2 - ( &partial; 2 φ &partial; x &partial; y ) 2 ) Balmer Series   v = R B ( 1 m 2 - 1 n 2 ) Beat Frequency   ω beat = ω 1 - ω 2 Beattie-Bridgeman Equation of State   p = ( 1 - γ ) R ⁢ T ( V m + β ) - α V m 2 Bifilar Suspension   T = 4 π I ⁢ l m ⁢ g ⁢ d 2 Biot-Fourier Equation   ∂ T ∂ t = κ cρ ∇ 2 T Bjerkenes Circulation Theorem   C = lV · dl ⁢     N = - d ⁢ p ρ Blade Activity Factor   A ⁢ F = 5 R ∫ 0.2 R R c r 3 ⅆ r Blondel-Rey Law   B = B 0 ( f a + f ) Bohr Magneton   μ B = e ⁢ h 2 m e Bohr Radius   a 0 = h 2 4 π 2 m e e 2 Boltzmann's Constant   k B = R N A Boltzmann's Distribution   P ( ε ) = exp ⁢ ( -   ε / k B T ) Σ ε ⁢ e ⁢ x ⁢ p ( - ε / k B T ) Bose-Einstein distribution Law   f ( ε ) = 1 exp [ ( ε - μ ) / k B T ] - 1 Bouguer Law of Absorption   φ = φ 0 ⁢ exp ( - α ⁢ x ) Boyele's Law   p ⁢ V = const . Brackett Series   v = R ( 1 m 2 - 1 n 2 ) Bragg Equation   n ⁢ λ = 2 d ⁢ sin ⁢ θ Breit-Wigner Formula   σ = πD 2 ( 2 j + 1 ) ( 2 s 1 + 1 ) ( 2 s 2 + 1 ) Γ 2 ( E 0 - E ) 2 + Γ 2 / 4 Brewster Angle   tan ⁢ θ = ε 2 ε 1 Brewster's Law   tan ⁢ θ p = n 2 n 1 = ε 2 ε 1 Brönsted's Relation   k acid = G a K a α     k base = G a K a β Brunt-Vaisala Frequency   N = ( - g ρ &partial; ρ &partial; z ) 1 / 2 Bulk Modulus   K = - V ( &partial; p &partial; V ) = E 3 ( 1 - 2 v ) = E ⁢ μ 3 ( 3 μ - E )              Cc             Capacitance of a Parallel -plate capacitor   C = ε 0 A d Capacitance   C = Q V Cailletet's and Mathias' Law   1 2 ( d 1 + d 2 ) = A + BT Capillarity   H = 2 γ ⁢ ⁢ cos ⁢ θ ρga Central Force   F ( r ) = - dV ( r ) dr Centre of Mass   r CoM = Σ i ⁢ m i ⁢ r i Σ i ⁢ m i Centripetal Acceleration, Motion in a Circle   a = v 2 r = ω 2 r Centripetal Force, Motion in a Circle   F = mv 2 r = mω 2 r Characteristic Impedance   Z = T v = ρ ⁢ v Charge   Q = It Charles' Law   V t = const . Chemical Potential   μ i ( T , p , n i ) = μ 0 i ( T ) + R ⁢ T ⁢ ln ⁢ p + R ⁢ T ⁢ ln ⁢ c i Chords, Intersecting   a ⁢ b = c ⁢ d Child-Langmuir Equation   I = G V 3 2 Circle, Area of   A = π r 2 Circular Orbit   ω = B ⁢ e ⁢ m Circular Velocity   V = ⁢ g ⁢ r = G ⁢ M r Clausius-Clapeyron Equation   ⅆ p ⅆ T = λ T ⁢ Δ ⁢ V Clausius' Inequality   d ⁢ Q T ⁢   ≤     0 Cohesive Energy Density   λ - R ⁢ T m / ρ Compton Shift   λ ′ - λ = λ C ( 1 - cos   θ ) Compton Wavelength   λ C = h m ⁢ c Conduction of Heat   ⅆ Q ⅆ t = - kA ⅆ T ⅆ x Conductivity   σ = | J | | E | = n ⁢ e 2 m τ Cone, Volume of   V = 1 3 π ⁢ r 2 ⁢ h Constructive Interference   path ⁢   difference = mλ Coriolis Parameter   F = - 2 m ⁢ ω × v Coulomb's Law   F = q 1 q 2 4 πε 0 r 2 Coulomb's Magnetism Law   F = μ 0 p 1 p 2 4 π r 2 Couple   G = Fd Couple of Coil   C = BANI ⁢ sin ⁢ θ Couple, Rotational Dynamics   G = I ⁢ α = I d ⁢ ω d ⁢ t Critical Angle   sin ⁢ θ c = n 2 n 1 Crossed Fields   eE = Bev Cross-Section   I r = IN σ A , I r < I Cube, Surface Area of   S = 6 a 2 Cube, Volume of   V = a 3 Cuboid, Surface Area of   s = 2 lw + 2 lh + 2 wh Cuboid, Volume of   V = lhw Curie-Weiss Law   χ = C ( T - T 0 ) Current   I = neA ⁢ v Current Gain of Transistor   h F ⁢ E = ∂ I C ∂ I B Current Sensitivity   θ = BANI c Cyclotron Frequency   f = Bq 2 πm Cylinder, Surface Area of   s = 2 πrh Cylinder, Volume of   V = π r 2 h

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