pasmith's latest activity
-
Ppasmith replied to the thread Does this series converge uniformly?.It may help to note that $$\frac{n^2}{n + \frac15} = n - \frac{1}{5 + \frac 1n}.$$
-
Ppasmith replied to the thread Complex Numbers (Laurent Series).Yes. Expanding ##(z - a)^{-k}## in binomial series can be done in two ways; one converges for ##|z| < |a|## and the other for ##|z| > |a|##.
-
Ppasmith replied to the thread I Non-orthogonal bases.A lot o numerical analysis involves dealing with spaces of polynomials of degree at most $$N$$ on $$[-1,1]$$. There are various families...
-
Ppasmith replied to the thread Family of lines that are at a distance of 5 from the origin.The equation of a line in ##\mathbb{R}^2## can be written as $$\mathbf{n} \cdot (\mathbf{x} - \mathbf{x}_0) = 0$$ where ##\mathbf{x}_0##...
-
Ppasmith replied to the thread Modeling a graph that shows age in relation to depth of an ice sample.You can use linear interpolation between the data points. Between z_i and z_{i+1} that gives you \int_{z_i}^z \frac{1}{\lambda(z)}\,dz =...