real analysis – Determine if a multivariate function can have a point of equilibrium

Suppose we have a function $ f: mathbb {R} ^ n longrightarrow mathbb {R} $ it is the result of the composition of two functions $ g: mathbb {R} ^ n longrightarrow mathbb {C} ^ {2n} $ and $ h: mathbb {C} ^ {2n} longrightarrow mathbb {R} $ such as $ f = h (g (x_1, x_2, …, x_n)) $.

Is it possible to know if the function $ f $ has saddle points.

Context: the function $ f $ is the objective function of an optimization problem. Function $ g $ takes the entries of $ mathbb {R} ^ n $ in the Hilbert space $ mathbb {C} ^ {2n} $ and its output (a pure quantum state in fact) is transmitted to $ h $ which calculates the wait and returns a unique real number.

Yes $ f $ is a convex function, each local minimum is a global minimum and do not worry that the optimizer remains stuck in the local minimum. If not, how to show that it is not convex and can have saddle points?

algorithms – Clustering of point clouds based on a similarity less than $ O (n ^ 2) $

I do not know if this is the right place to ask this question, but that's it.

Suppose I have a set of 2D points data including face landmarks and want to group them according to the similarity in order to be able to refer to a notion of "prototype". a facial expression.

As a measure between one set of points and another, I could use a sum of Euclidean distances.

Is it possible to get a set of prototypes without going through the landmarks? $ O (n ^ 2) $ time?

To better explain what I think, suppose I process a video frame by frame.

I start with the landmarks of the first image, and put it in my prototype list because I have no other reference.

Then, for each next image, I compare it to the first "prototype". If it's below a certain similarity threshold, I guess it's not unique enough and skips it. Therefore, until I find a set of quite different landmarks, now I have two "prototypes".

From that moment, I have to perform the similarity check with two "prototypes", etc.

Another caveat is that I would also like to be able to store the "prototype" that the current frame fits the most.

I will also have to make a second pass in a second clip for a similar correspondence with the "prototypes" identified during the first pass.

Is there a more effective way to do this, other than the naive approach?

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Networking – How to get a DHCP IP address running on a WiFi point of access using an adb shell?

I connect to my WiFi network from the adb shell with the help of the following command:

iw dev wlan1 connect -w WiFi-AP

A DHCP server is also running on the point of access, but each time I try to get an IP address using the dhclient -v wlan1, I get the following error:

sh: dhclient: not found

Is there a way to install dhclient on Android 8.1 or is there another way to request an IP address from the DHCP server via a wlan interface?

python – An end-of-extraction point returned file data multiplied by the parameters of a query

Does anyone know how to avoid mistakes: You got AttributeError when trying to get a value for the data_from_file field on the DataSerializer serializer in the code below?

# models.py
Data class (models.Model):
data_from_file = models.CharField (max_length = 20)

# serializers.py
DataSerializer class (serializers.ModelSerializer):
Meta class:
model = data
fields = __ all __ & # 39; __

# views.py
DataView class (ListAPIView):
serializer_class = DataSerializer

def get_queryset (auto):
mult = self.request.query_params.get (# mult, #)
y = np.loadtxt ('media / data_vv.txt')[:10]
        x = list (range (len (y)))

if mult is not None:
y * = float (mult)

y = list (y)
data = {x, x, y: y}
content = JSONRenderer (). render (data)
content = Data (data_from_file = content)
content.save ()
serializer = DataSerializer (content)

returns JsonResponse (serializer.data, safe = False)

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mount point – mount / unmount the storage device, which happens to files

I have trouble understanding the following.

In / etc / fstab, I mounted an external storage volume with:

//xyz.backup.com/backup/home/me/ external_backup_volume user cifs = xyz, password = xyz, users 0 0

Every day, I sync files from a local folder to the mount point:

rsync --progress -arnz / backup / home / me / external_backup_volume

When I dismount / home / me / external_backup_volume I always see subdirectories and folders. Are files still available even when the backup storage is unmounted? Of ls -al it looks like but if i check df with the mounted drive and not the local disk usage of / dev / md2 do not change:

me @ Ubuntu-1804-bionic-64-minimal: ~ $ df -h
Size of file system used Usage used% Mounted
udev 16G 0 16G 0% / dev
tmpfs 3.2G 1.1M 3.2G 1% / run
/ dev / md2 436G 105G 310G 26% /
tmpfs 16G 8.0K 16G 1% / dev / shm
tmpfs 5.0M 0 5.0M 0% / run / lock
tmpfs 16G 0 16G 0% / sys / fs / cgroup
/ dev / md1 488M 204M 259M 45% / boot
tmpfs 3.2G 0 3.2G 0% / run / user / 1000
//xyz.backup.com/backup 100G 46G 55G 46% / home / me / external_backup_volume

me @ Ubuntu-1804-bionic-64-minimal: ~ $ umount / home / me / external_backup_volume
me @ Ubuntu-1804-bionic-64-minimal: ~ $ df -h
Size of file system used Usage used% Mounted
udev 16G 0 16G 0% / dev
tmpfs 3.2G 1.1M 3.2G 1% / run
/ dev / md2 436G 105G 310G 26% /
tmpfs 16G 8.0K 16G 1% / dev / shm
tmpfs 5.0M 0 5.0M 0% / run / lock
tmpfs 16G 0 16G 0% / sys / fs / cgroup
/ dev / md1 488M 204M 259M 45% / boot
tmpfs 3.2G 0 3.2G 0% / run / user / 1000

So, why do I always see the files when the drive is unmounted?

Disable the new Alfred 4 polling point feature

With Dash and other types of search engines, when I wanted to search something in Alfred 3, I added a question mark so that Alfred had no doubt that I wanted to do something. a search on that.

Now in Alfred 4, there is this new feature that allows you to search for Alfred's preferences by adding a query point. So my workflow is broken.

I have not been able to find out how to change the & # 39; for anything else or disable it completely. It comes in the middle. For example, this:

enter the description of the image here

Go to https://www.alfredapp.com/search/?p=help&q=HTTP+server+%22listening%22+event

How can I get rid of this feature?

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height of a point in the projective space

$ underline {Background} $:Let, $ X = {P_1, … P_s } $ to be a set of $ s $ distinct points of $ mathbb {P} ^ {n} = Proj (K[x_0,….,x_n]$, so we know that $ P_i $ are homogeneous prime ideals $ mathcal P_i $ that does not contain ideal ideal irrelevant.

$ underline {Question} $: why ht ($ mathcal P_i) = n $?

$ underline {Guess} $ : we know that, ht ($ mathcal P_i) + $ low K $[x_0,….,x_n]/ mathcal P_i = $ low K $[x_0,….,x_n] = n + 1 $but why dim K $[x_0,….,x_n]/ mathcal P_i = 1 $ ?

Any help from anyone is welcome.