Modulus of complex root
If $11z^{10}+10iz^9+10iz-11 = 0$. Then possible value of $\mid z \mid,$ is
I gave a scammer my telephone number, address, and name. How bad is it? What happens to Zhang ziyi (Jen) in  when she jumps off the cliff .. she dies? becomes immortal? Just before jumping what does she want Lo to become - a master?  Why does she jump off, guilt? I have parent folder "parent". Inside this folder I have subfolders, and a file named "names.txt". this file includes the names of these subfolders as follow:  Parent_folder folder1 folder2 folder3 folder4 . . . . names.txt   The content of the file "names.txt" is as follow:  folder1 folder2 folder3 folder4 . . .   Inside every folder I have images and I want to apply consecutively 10 scripts on every image ( every script must finish it is job inside every folder, then the second script must be run). These scripts have different names and they are exist in one folder. I set an environment by sourcing a file then I can call these scripts by its name from terminal .At the same time I want to apply this process on all the folders at once. i.e. when script #1 is running, I want it to be running on all the folders at the same time. When it is done and script #2 will start. I want it to start in all the folders at once and so on... In order to achieve this I wrote the following code:  #!/bin/bash path=PATH/TO/THE/PARENT/FOLDER for i in $(cat $path/names.txt); do { script#1 } &amp; { script#2 } &amp; . . .  done   This code is not working efficiently as all the commands are running at once. I want the commands to run on all the folders at once but consecutively.  What I am doing wrong? Trying to remember a book that had people (I think they turned white?) segregated into a compound Number of elements in a finite $\sigma$-algebra Note: This question is specifically about installed, desktop software. There is  specifically about free cloud-based software and services.  What free programs should every GIS user have installed?  I'm not necessarily referring to ESRI extensions or open-source products, but others that increase your productivity and ability to handle GIS tasks.  For example:    for writing code snippets or editing XMLs.  or  for quick graphic editing. I use  daily and I think it's worth mentioning. It's not GIS-specific, but it's a great tool, especially if used independently and on multiple projects where purchasing time-management software isn't reasonable. While it's not focused on GIS development,  has proven to be very useful in terms of increasing productivity and monitoring system resources. I have created a GIS "sidebar" on my desktop that holds all of my development tools, as well as links to the online resources I used the most. It's nice to be able to use one location, rather than many (e.g. taskbar, bookmarks in browser, search engine). 99% of the time, I'm clear on when I should use "a" versus "an." There's one case, though, where people &amp; references I respect disagree.  Which of the following would you precede with "a" or "an," and why?   FAQ FUBAR SCUBA   [Note: I've read the questions  and , but the rules given there don't necessarily apply here.]    [Edited to add]  Here's a shorter (and hopefully clearer) version of the question…  In written English, which is correct (and why): "a FAQ" or "an FAQ"?  Some references with differing opinions:   an: the  and  a: the Microsoft Manual of Style for Tech Publications, 3e either: the  and Can "whatever" be split into two words? I tend to write, "say whatever they want", but I'm always tempted to write "say what ever they want". Is it acceptable to split the word in this context? How does Intel Turbo Boost work? failed to create symbolic link ‘/usr/bin/utserver’: File exists Continuous Fibonacci number F(n) My singleton accessor method is usually some variant of:  static MyClass *gInstance = NULL;  + (MyClass *)instance {     @synchronized(self)     {         if (gInstance == NULL)             gInstance = [[self alloc] init];     }      return(gInstance); }   What could I be doing to improve this? Isle vs. Island Does it make sense to combine PCA and LDA? Assume I have a dataset for a supervised statistical classification task, e.g., via a Bayes' classifier. This dataset consists of 20 features and I want to boil it down to 2 features via dimensionality reduction techniques such as Principal Component Analysis (PCA) and/or Linear Discriminant Analysis (LDA).  Both techniques are projecting the data onto a smaller feature subspace: with PCA, I would find the directions (components) that maximize the variance in the dataset (without considering the class labels), and with LDA I would have the components that maximize the between-class separation.  Now, I am wondering if, how, and why these techniques can be combined and if it makes sense.  For example:   transforming the dataset via PCA and projecting it onto a new 2D subspace transforming (the already PCA-transformed) dataset via LDA for max. in-class separation   or    skipping the PCA step and using the top 2 components from a LDA.   or any other combination that makes sense. How to Highlight a Row on Active Status I have a column which should define in list if the issue is in status: -Not Started, Active, Completed.   I would like to ideally add some colour to this by the row for example if completed it is green or active it is red. Then it highlights the whole row, do you know if this can be edited within the columns settings or if there any step by step instructions that can be followed to make this change? (ideally for someone new to sharepoint)  Thank You Usually \label does not create any white spaces. However, It creates an white space when \label is used after \phantomsubcaption from subcaption package.   Why? How can I get rid of this white space?   Here is a MWE:  \documentclass{article} \usepackage{subcaption}  \begin{document}  \section{a} a\label{sec:a}b% no white space between `a' and `b'  \begin{figure}   \centering   {a\phantomsubcaption\label{fig:a}}%   {b\phantomsubcaption\label{fig:b}}   \caption{With label}% undesired white space between `a' and `b' \end{figure}  \begin{figure}   \centering   {a\phantomsubcaption}%   {b\phantomsubcaption}   \caption{Without label}% no white space between `a' and `b' \end{figure}  \end{document} Why can't a single ReLU learn a ReLU? As a follow-up to  I simplified even more and tried to train a single ReLU (with random weight) to a single ReLU.  This is the simplest network there is, and yet half the time it fails to converge.  If the initial guess is in the same orientation as the target, it learns quickly and converges to the correct weight of 1:      If the initial guess is "backwards", it gets stuck at a weight of zero and never goes through it to the region of lower loss:        I don't understand why.  Shouldn't gradient descent easily follow the loss curve to the global minima?  Example code:  from tensorflow.keras.models import Sequential from tensorflow.keras.layers import Dense, ReLU from tensorflow import keras import numpy as np import matplotlib.pyplot as plt  batch = 1000   def tests():     while True:         test = np.random.randn(batch)          # Generate ReLU test case         X = test         Y = test.copy()         Y[Y &lt; 0] = 0          yield X, Y   model = Sequential([Dense(1, input_dim=1, activation=None, use_bias=False)]) model.add(ReLU()) model.set_weights([[[-10]]])  model.compile(loss='mean_squared_error', optimizer='sgd')   class LossHistory(keras.callbacks.Callback):     def on_train_begin(self, logs={}):         self.losses = []         self.weights = []         self.n = 0         self.n += 1      def on_epoch_end(self, batch, logs={}):         self.losses.append(logs.get('loss'))         w = model.get_weights()         self.weights.append([x.flatten()[0] for x in w])         self.n += 1   history = LossHistory()  model.fit_generator(tests(), steps_per_epoch=100, epochs=20,                     callbacks=[history])  fig, (ax1, ax2) = plt.subplots(2, 1, True, num='Learning')  ax1.set_title('ReLU learning ReLU') ax1.semilogy(history.losses) ax1.set_ylabel('Loss') ax1.grid(True, which="both") ax1.margins(0, 0.05)  ax2.plot(history.weights) ax2.set_ylabel('Weight') ax2.set_xlabel('Epoch') ax2.grid(True, which="both") ax2.margins(0, 0.05)  plt.tight_layout() plt.show()     Similar things happen if I add bias: 2D loss function is smooth and simple, but if the relu starts upside down, it circles around and gets stuck (red starting points), and doesn't follow the gradient down to the minimum (like it does for blue starting points):    Similar things happen if I add output weight and bias, too.  (It will flip left-to-right, or down-to-up, but not both.) If I don't want to set any special behavior, is it OK if I don't bother to have a robots.txt file? How do I edit my profile? This is probably a noob question, but I forgot how to edit my profile.   Can anyone help me? There is no visible button for me. A finite, cancellative semigroup is a group Let $G$ be a finite, nonempty set with an operation $*$ such that   $G$ is closed under $*$ and $*$ is associative Given $a,b,c \in G$ with $a*b=a*c$, then $b=c$. Given $a,b,c \in G$ with $b*a=c*a$, then $b=c$.   I want to prove that $G$ is a group, but I don't know how to show that there exists an identity $e\in  G$ such that $e*x=x$ and $x*e=x$ $\forall x \in G$. I also don't know how to show that $\forall$ x $\in G$ there exists a $y \in G$ such that $y*x=e$ and $x*y=e$. How do I do this?