The rate of the rate of the rise in rising inflation is falling!

[rd409]

position

The original article was referring to a change in the rate of inflation rather than a third derivative.

Displacement is correct here. Displacement is the change in position, and the derivative of this displacement is velocity. The second derivative of displacement is acceleration.

d = x - y (linear displacement)

v = d / t

a = v / t

where x, y are scalar coordinates, d = dispalcement, v = velocity, t = time, and a = acceleration.

[conned tractor]

Stone me, I didn't mean to start the calculus wars all over again.

What's that zeity, the academics can 'ave the code monkeys any day....yea I agree...well said.

[TimberWolf]

Displacement is correct here. Displacement is the change in position, and the derivative of this displacement is velocity. The second derivative of displacement is acceleration.

d = x - y (linear displacement)

v = d / t

a = v / t

where x, y are scalar coordinates, d = dispalcement, v = velocity, t = time, and a = acceleration.

V = dx/dt to be more precise, you're describing average speed and acceleration. The dx, the displacement, approaches zero at the limit, which is also the position where you wish to take the derivative. v = d/t only works for very small d or where acceleration = 0 for example.

[TimberWolf]

Position is generally referred to as displacement as it is a scalar quantity, but they are the same in this case.

Incidentally displacement is a vector quantity. Not that vectors are relevant anyway, as you can take derivatives of quantities other than vectors! Speed, for example. Thanks for ruining my great little pound pun with all this illiterate nonsense though

[conned tractor]

Incidentally displacement is a vector quantity. Not that vectors are relevant anyway, as you can take derivatives of quantities other than vectors! Speed, for example. Thanks for ruining my great little pound pun with all this illiterate nonsense though

In the above example, v = dd/dt, since d = x-y.

Would it be easier to understand if it was in s-notation.

[TimberWolf]

In the above example, v = dd/dt, since d = x-y.

Would it be easier to understand if it was in s-notation.

Usually when people go to the trouble to say displacement they refer to the vector quantity describing the shortest path between two points, they don't usually go out of their way to describe displacement as a scalar. Distance is usually the word used for that.
Displacement (vector) - Wikipedia, the free encyclopedia

Anyway, that's my limit. [another pun]

[conned tractor]

Usually when people go to the trouble to say displacement they refer to the vector quantity describing the shortest path between two points, they don't usually go out of their way to describe displacement as a scalar. Distance is usually the word used for that.
Displacement (vector) - Wikipedia, the free encyclopedia

Anyway, that's my limit. [another pun]

Your puns are as bad as your maths.

[lilelvis2000]

In a related item...Did anybody catch the BBC 4 documentary The Story of Maths last night? BBC - BBC Four Programmes - The Story of Maths