Recent content by Matt1991

  1. M

    Interpolating multivalued functions

    They are in order. I am not entirely sure how you would treat them as 2 separate functions. The obvious parameter values to use would be 0 at one end and 1 at the other. I originaly tried to parameterise the coastline so that everything was a function of just latitude or just longitude but...
  2. M

    Interpolating multivalued functions

    Hi everyone, I have a problem I am unsure how to solve. I have a set of latitude and longitude data points for a coastline. I need to run a program to interpolate some function that will map this coastline reasonably accurately. This would not usualy be a problem but due to the nature of...
  3. M

    How can I understand the Einstein summation convention for vector algebra?

    Thanks for the response, Ah right. If that is the convention then I can definitely see why. I am not sure I understand the reasoning behind the convention though. if xi is simply x1 + x2 + x3 + ... then I am not sure what the reasoning is behind xi multiplied by itself acting as the...
  4. M

    How can I understand the Einstein summation convention for vector algebra?

    I have made a correction to my original working that I posted. It is now hopefully correct. Apologies, Matt
  5. M

    How can I understand the Einstein summation convention for vector algebra?

    Hi, I am just starting to learn vector algebra with Grad, Div, Curl etc and have in passing come across Einstein notation which seems to make things much more concise. The problem I have is in Finding Div(rn r) where r =xi + yj + zk. The unbold r is the magnitude of r. I have used...
  6. M

    Help Needed Solving A-level Diff Eq Project w/ GPS Data

    In case anybody wants to know I did solve this for v and t. i rearanged using dv/dt = v.dv/ds I ended up with dv/ds = (g/v) - (D/m)(e^bs)(v) I then used the Improved Euler Method Using Runge Kutta notation for ease to solve for v and s. I then used this information to create a table of...
  7. M

    Help Needed Solving A-level Diff Eq Project w/ GPS Data

    Thanks for the help. I figured that I wouldn't be able to solve this analytically and looked through the numerical solutions which is where I decided to try the Finite Element Analysis followed by the central difference method since finte element would give me a set of displacements and the...
  8. M

    Help Needed Solving A-level Diff Eq Project w/ GPS Data

    Hi I'm Matt, I'm new to the Physics Forum and this is my first Post so I'm sorry I don't know how to write out maths on here. I'm doing an A-level differential equations project and I decided to make it a bit more real worldy... maybe a mistake. I am modelling a skydiver in freefall (for the...
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