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installation
Unable to install new App with the same Product ID or Bundle ID. But anyway, after this step, we are ready to install the App.

Connect your device to the computer.
In order to use the Locate service feature, the device must have a certain battery status:
“Low battery”, “Not charging”, “Dead”, “Not available”, “Off” or “In sleep”.

After that, go to:
Settings/Status and Battery/Device.

In the Battery status you can see the battery status:

If the phone is on, the battery status will be:

“Not charging”

If the phone is off, the battery status will be:

“Not available”

If the battery is really dead, the battery status will be:

“Low Battery”

If the battery is not available, the battery status will be:

“Off”

If the battery is in sleep mode, the battery status will be:

“In sleep”

You should check the status twice before going to installation.

Unplug your device from the computer.
Now we need to configure our device:

Go to Settings/Privacy.

Configure the Network settings as shown in the following table:

Tap Add icon.
Configure the following settings:

Type: Network
Default: Google WiFi

Type: Google WiFi
Available networks: Enabled

Type: WiFi (EDR), WLAN (WiFi Direct)
Choose your connection mode: Enabled, Android WiFi hotspot.

After that, you can choose the network name, password and security types as the following:

After that, tap on Confirm.
On the next screen, tap on Continue and then tap on Add.
You need to configure the following details:

Type: Account
Default: Google Account

Type: Google Account
Google Account ID: Enter your Google Account ID which you registered on the Android phone.

Type: Password
Password: Tap on Enable Password to set a password and set the PIN as shown in the following screen:

Type: PIN
Pin: Enter a 4-digit PIN for this account.

Type: Network
Default: Google WiFi

Type: Network

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How is this type of Gaussian approximation calculated?

In the book Predictability, Predictability and Persistence, by Bettencourt et al., the Gaussian approximation to the tail distribution of any variable is calculated using a Taylor approximation. The approximation is derived starting from the original Gaussian distribution with mean, variance, and $\alpha$ (a shape parameter of the t distribution) and through the following process.
We have the Taylor expansion around $x=\mu$ of the 2$^{\rm nd}$ order of the function $f$ as:
$$f(x)=f(\mu) + f'(\mu)(x-\mu)+\frac{f“(\mu)}{2}(x-\mu)^2+…$$
The approximation is then
$$f(x)\approx f(\mu)+\frac{f'(\mu)}{\sigma(x)}(\mu-x)+\frac{1}{2\sigma(x)^2}\left(\frac{f“(\mu)}{\sigma(x)}\right)(\mu-x)^2+…$$
where $\sigma(x)$ is the standard deviation of the original Gaussian distribution.
I don’t understand the step where the author takes the square of the right-hand side, which is
$$\frac{1}{\sigma(x)^2}\left(\frac{f“(\mu)}{\sigma(x)}\right)(\mu-x)^2$$
Why is the author taking the square of the parentheses? Isn’t the above equation the square of the first?
How is this type of approximation calculated and why? Thanks.

A:

Since it’s a Taylor series,