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gibson:teaching:fall-2012:math445:pf1 [2012/12/05 12:57] gibson |
gibson:teaching:fall-2012:math445:pf1 [2012/12/05 13:23] (current) gibson |
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network of websites. | network of websites. | ||
- | <network-of-links figure here> | + | {{:gibson:teaching:fall-2012:math445:network2.png?direct&300}} |
15. Write Matlab code that converts the connectivity matrix //C// to a | 15. Write Matlab code that converts the connectivity matrix //C// to a | ||
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17. Write an equation for //y// as a function of //x// for | 17. Write an equation for //y// as a function of //x// for | ||
- | the following data plot. Exponential functions should be expressed | + | the following data plot. Bonus: express exponential functions |
- | as powers of //e// rather than powers of 10 (the relation $\log 10 \approx 2.3$ will help). | + | as powers of //e// rather than powers of 10. Use $e^{2.3}\approx 10$ |
+ | to convert between the two. | ||
{{:gibson:teaching:fall-2012:math445:fig1.png?direct&300}} | {{:gibson:teaching:fall-2012:math445:fig1.png?direct&300}} | ||
+ | |||
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<latex> | <latex> | ||
- | y_i = \sum_{j=1} A_{ij} x_j | + | y_i = \sum_{j=1}^N A_{ij} x_j |
</latex> | </latex> | ||
- | for each component $y_i$ of the //M// dimensional vector $y$. But don't that | + | for each component $y_i$ of the //M// dimensional vector $y$. But don't code that |
- | formula directly! Instead start your code with | + | formula directly! Instead start your function with |
<code> | <code> | ||
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</code> | </code> | ||
- | and write the matrix-vector multiplication as a loop over the $K$ nonzero elements | + | and write the matrix-vector multiplication as a loop over the K nonzero elements |
- | of $A$. | + | of A. |