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By A.P. Balachandran, G. Marmo, B.-S. Skagerstam, A. Stern
A concept outlined through an motion that's invariant lower than a time established staff of modifications will be referred to as a gauge idea. renowned examples of such theories are these outlined by means of the Maxwell and Yang-Mills Lagrangians. it really is largely believed these days that the elemental legislation of physics must be formulated by way of gauge theories.
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B) Plot the x and y positions as function of time in two plots above each other. (c) Plot the (x, y) position of the object in a plot with x and y on the two axes. 12 Numerical integration of a data-set. dat6 contains a list of numbers: t0 t1 .. tn v0 v1 .. vn corresponding to the time t(i) measured in seconds, and the velocity y(i) measured in meters per second for the trajectory of a projectile. (a) Read the data file into the arrays t, and v. (b) Plot v(t) as function of time. 16) y(t2 ) ...
Therefore you need to keep track of the units. Second, your programs always provide more digits than the number of significant digits, so you have to keep track of the number of significant digits. Third, the computer introduces new errors by itself—errors due to the digital representation of numbers, and errors that are inherent in the algorithms we use to solve a problem. Units on the Computer There are no units in your program, so you need to keep track of the units yourself. 2000 It is your job to know that the units for the answer is m/s.
The first column gives the time, measured in seconds, and the second column gives the position of the runner, measured in meters. Fortunately, it is very simple to read such as file into matlab. d ??? d: No such file or directory. d is not in your current working directory. By default your current working directory is shown to the left in your matlab window—if not select Window → 2 Current Directory from the menu. d listed. If not, you need to change the current working directory to where you placed the file when you downloaded it—and try again.