# ANA 2 Presets Vol 9 Techno-SYNTHiC4TE

ANA 2 Presets Vol 9 Techno-SYNTHiC4TE

Q:

Is the period of a non-constant solution of $y’ +py = 0$ well defined?

$y’ +py =0$ is a second order linear differential equation. All solutions $y(t)$ are differentiable for $t\in \Bbb R$.
My question is: is the period of the solution well defined?

The graph of $y=y(t)$ could be periodic or not and, if not, for which values of $t$ does it become periodic?

Thank you!

A:

It is well-defined: You can always extract two linearly independent solutions: $y_1$ and $y_2$. Then the period of your solution is $(y_1, y_2)$.
If you only know that your solution is differentiable, then your solution is continuous (and thus necessarily bounded, or else unbounded) and continuous functions are locally Lipschitz, so you still have a good notion of period.

Q:

How to add parameters to default operators in pandas?

I have a series where many of the entries look like the following

However, some of the values may be NaN so I can’t just do:
df[‘SOMECOLUMN’] = df[‘SOMECOLUMN’].fillna(‘CONSTANT’)

Instead, I need to get some other value from those NaN cells. I tried to use the default operators like this
df[‘SOMECOLUMN’] = df[‘SOMECOLUMN’].apply(lambda x: x if isinstance(x, float) else CONSTANT)

and got this error:

TypeError: ‘

It really is a pleasure that you came across my work, and I hope to keep improving with each release, feeling all your feedback and ideas is the best way to improve the sound quality. You can also get in touch with me in social media
Here is the latest release of ANA 2 presets ( Vol 9 “Techno” sound pack).. Techno Sound bank is a Tech House sample pack by Sonic Academy, it features dense tracks.
ANA 2 – Presets Volume 8.
#29 – Goldbaby Urban Cookbook 2 v1.1 ALP-SYNTHiC4TE.rar.
#5 – Goldbaby Urban Cookbook 2 v1.1 ALP-SYNTHiC4TE [w8].zip. #23 – The Dark Ambient Vol 1 – Volume 2 Synthesia[Winter Ambience].rar.
#1 – Drops [Antidote].rar.
#9 – Dark_Legend.zip. #23 – The Dark Ambient Vol 1 – Volume 2 Synthesia[Winter Ambience].rar
MODS.
SYNTHiC4TE Oct 20 2019 33.7 MB ANA 2 Presets Volume 9 – Techno brings the dark underground sounds.
ANA 2 – Presets Volume 8.
#29 – Goldbaby Urban Cookbook 2 v1.1 ALP-SYNTHiC4TE [w8].zip. #5 – Goldbaby Urban Cookbook 2 v1.1 ALP-SYNTHiC4TE [w8].rar.
#9 – Dark_Legend.zip. #23 – The Dark Ambient Vol 1 – Volume 2 Synthesia[Winter Ambience].rar
#8 – Goldbaby Urban Cookbook 2 v1.1 ALP-SYNTHiC4TE [w8].zip.
Goldbaby Urban Cookbook 2 v1.1 ALP-SYNTHiC4TE.
It really is a pleasure that you came across my work, and I hope to keep improving with each release, feeling all your feedback and ideas is the best way to improve the sound quality. You can also get in touch with me in social media
Here is the latest release of AN
6d1f23a050