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Prove that the inverse of an invertible mapping is invertible?

Assume that f:S->T is invertible with inverse g:T->S, then by definition of invertible mappings f*g=i(S) and g*f=i(T), which defines f as the inverse of g. So g is invertible.


What is inverse laplace transform of s?

d[DeltaDirac(t)]/dt


What has the author P G Danilaev written?

P. G. Danilaev has written: 'Coefficient inverse problems for parabolic type equations and their application' -- subject(s): Inverse problems (Differential equations), Numerical solutions, Parabolic Differential equations


Are absolute value and additive inverse equal why?

No. This is because absolute values are always positive. For example: |2|=2 absolute value Additive inverse means the opposite sign of that number so 2's additive inverse is -2. But sometimes if the number is -2 then the additive inverse equals the absolute value. therefore the answer is sometimes


What has the author G M L Gladwell written?

G. M. L. Gladwell has written: 'Inverse problems in vibration' -- subject(s): Inverse problems (Differential equations), Vibration 'Dynamical inverse problems' -- subject(s): Mathematics, Inverse problems (Differential equations), Vibration


Chemical equations of burning sulfur?

( S(s) + O_2(g) → SO_2(g) ) ( 2S(s) + 3O_2(g) → 2SO_3(g) )


What is Inverse-Square rule of gravitation?

You are at earths surface (call this 1 radius (1r) from earth center) with acceleration due to gravity at say 10 (m/s)/s, if you double your distance (in terms of radius this = 2r) and install in equation: a= 10/(2(r)^2) inverse square law a= 10/4 a= 2.5 (m/s)/s 2* distance = 1/4 the gravity 3* distance = 1/9 the gravity 4* distance = 1/16 the gravity


What is G. E. M.'s birthday?

G. E. M. was born on August 16, 1991.


What is the formula for free fall aceleration?

d = -(1/2)g*t^2 v = - g*(squareroot(2(d/g))) wrong the real formula is: h=-16t^2+s h= ending height usually 0" t=time s= starting height (example) 0=-16t^2+256 -256 -256 -256=-16t^2 __________ -16 16=t^2 t=4 seconds They're both the same formula, they are just transposed. The ending height is always zero since you want the intermittent distance and time of that distance. d = -(1/2)g*t^2 =-(1/2)(32)*t^2=-16*(t^2)


What has the author Raj S Chhikara written?

Raj S. Chhikara has written: 'The inverse Gaussian distribution' -- subject(s): Inverse Gaussian distribution


What are the release dates for G-E- True - 1962 O-S-I- 1-16?

G-E- True - 1962 O-S-I- 1-16 was released on: USA: 20 January 1963


What are iCademy questions - DO NOT remove from catch-alls and DO NOT remove alternates?

Given: s0 = 2 ft and v0 = 110 ft/sec. The ball is under the influence of gravity, so the acceleration of gravity, g = 32 ft/sec2. The height of the ball (in feet) after t seconds is given by s(t) = -(1/2)gt2 + v0t + s0. So we have: s(t) = -16t2 + 110t + 2 (a parabola which opens downward, so its vertex is a max. point) Thus, t = -(110)/(2*-16) = 55/16, and s(55/16) = -16(55/16)2 + 110(55/16) + 2 = -1*552/16 + 2*55*55/16 + 32/16 = [552(2 - 1) + 32]/16 = (3025 + 32)/16 = 3057/16 ≈ 191 ft