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todo [2015/12/16 20:10] nikolaj |
todo [2017/03/17 14:37] nikolaj |
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| ===== Todo ===== | ===== Todo ===== | ||
| ==== Meta ==== | ==== Meta ==== | ||
| + | <code> | ||
| + | d = 3; | ||
| + | a = 5; | ||
| + | r = 1/3; | ||
| + | f[z_] = ((z + d)^a - d^a)^r; | ||
| + | |||
| + | Series[f[z], {z, 0, 6}] | ||
| + | </code> | ||
| + | |||
| >IMPORTANT: | >IMPORTANT: | ||
| >formal power series | >formal power series | ||
| - | >tensor product | + | >[[Tensor product]] |
| >[[ε-δ function limit]] | >[[ε-δ function limit]] | ||
| - | == theormodyanmics == | + | == Theormodyanmics == |
| atm. there are only some notes under [[On phenomenological thermodynamics . Note]]. | atm. there are only some notes under [[On phenomenological thermodynamics . Note]]. | ||
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| > | > | ||
| > | > | ||
| + | |||
| + | === Topics === | ||
| + | |||
| + | To solve | ||
| + | $f(x)=x$ | ||
| + | via fixedpoint iteration, one may consider the sequence | ||
| + | $f^n(x_\text{guess})$. | ||
| + | |||
| + | However, | ||
| + | $g(x):=\dfrac{h(x)}{h(f(x))}\cdot f(x)$ | ||
| + | should converge to it too and | ||
| + | $g^n(x_\text{guess})$ | ||
| + | may converge faster. | ||
| + | |||
| + | I saw this at [[https://en.wikipedia.org/wiki/Omega_constant#Computation | Omega_constant#Computation]] (Wikipedia) with $h(x):=1+x$. | ||
| + | |||
| + | |||
| === Articles waiting to be created === | === Articles waiting to be created === | ||
