graphics3d – How can I look directly into the center of TextureCoordinateFunction?

Manually adjusting the coefficients within TextureCoordinateFunction I can get the numbers on each ball to face the camera:

  Opacity@0.5, Blue, Cuboid({-2, -2, -2}, {2, 2, 0}),
  Opacity@1, Sequence @@ MapThread(
      SphericalPlot3D(#3, {theta, 0, Pi}, {phi, 0, 2 Pi}, 
        Mesh -> None, 
        TextureCoordinateFunction -> ({#1, 0.3*#2 + 0.7*#3} &), 
        PlotStyle -> 
           Graphics@Text@Style(ToString@#1, 100)))((1)), #2) &, {{8, 
      5, 13, 3},
     {{-1, -1, 0}, {-1, 1, 0}, {1, -1, 0}, {1, 1, 0}}, {0.2, 0.4, 0.4,
  }, Boxed -> False, ViewPoint -> {-5, -9, 3}, 
 ViewVertical -> {0, 0, 1}, PreserveImageOptions -> False)

enter the image description here

How can I write the coordinates inside? TextureCoordinateFunction so the numbers are facing the ViewPoint, keeping the orientation of the cube?

The solution to View the coordinates of a city from above does not take into account that I also want to see the cube from a particular perspective.

you cannot download or start software with the terminal or the software center

I tried to download zoom using a flatpak and also the way I saw described first using the terminal. Now I can't download anything from the software center, and I was able to zoom to show the download, but it won't start. Programs are downloaded and installed but do not start.
Every time I use the terminal, it seems like I'm wrong. Does anyone know how to fix this? Ubuntu 17.10 BTW I have no idea what I'm doing, but this is my only solid computer, so I really need it to work like it used to. Thank you! It says "I got an unknown content type (null) from in the software center when I open it. I can still search and apparently download, but nothing works.

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Is there a keyboard shortcut to move the cursor to the center of the current line? Can it be created?

How can I create a custom key combination to move the cursor to the center of the current line using carabiner elements? Is there any other way to do the same? I can't find anything that can be useful.

unit: how can I find the center position of two or more objects?

using System.Collections;
using System.Collections.Generic;
using UnityEngine;

public class MoveCameraBehind : MonoBehaviour
    public GameObject camera;
    public List targets = new List();
    public float cameraDistance = 10.0f;
    public bool behindMultipleTargets = false;
    public string cameraWarningMsgs = "";
    public string targetsWarningMsgs = "";

    // Use this for initialization
    void Start()
        if (camera == null)
            var cam = GetComponent();
            if (cam != null)
                cameraWarningMsgs = "Gettig camera component.";

                camera = transform.gameObject;
                cameraWarningMsgs = "Creating a new camera component.";

                GameObject NewCam = Instantiate(new GameObject(), transform);
       = "New Camera";
                camera = NewCam;

        if(targets.Count == 0)
            targetsWarningMsgs = "No targets found.";

    void FixedUpdate()
        if (targets.Count > 0)

    public void MoveCameraToPosition()
        if (targets.Count > 1 && behindMultipleTargets == true)
            var center = CalculateCenter();
            transform.position = new Vector3(center.x, center.y + 2, center.z + cameraDistance);

        if (behindMultipleTargets == false)
            Vector3 center = targets(0).transform.position - targets(0).transform.forward * cameraDistance;
            transform.position = new Vector3(center.x, center.y + 2, center.z);

    private Vector3 CalculateCenter()
        Vector3 center = new Vector3();

        var totalX = 0f;
        var totalY = 0f;
        foreach (var target in targets)
            totalX += target.transform.position.x;
            totalY += target.transform.position.y;
        var centerX = totalX / targets.Count;
        var centerY = totalY / targets.Count;

        center = new Vector3(centerX, centerY);

        return center;

The CalculateCenter function makes targets (objects) change position and disappear far away.
Even if there is only one goal.

What I want to do is if there is an object, for example a 3D cube that places the camera behind the cube.
And if there are more cubes, for example two or ten and the camera is somewhere else, calculate the average position behind the targets and place the camera in the middle behind them.

To show what I mean in this example, the view (like a camera) is behind the two soldiers in the middle position between them from behind.

But what if there are 5 soldiers, how can I find the middle position and then put the camera behind them like this example in the screenshot?

See an example

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How could I put the pivot point of a `GameObject` in the center of a text added by the` TextMeshPro` in Unity?

How could you position the pivot point of a GameObject in the center of a text added by the TextMeshPro in unity?

enter the image description here

Oh I just checked, when the text changes, the yellow rectangle doesn't update. What I need is for the pivot point to be vertically and horizontally in the center of the added text through the TextMeshPro.

enter the image description here

Lie Algebras – Lie Center Subalgebra of $ mathfrak {gl} _n $

My Lie algebra theory is pretty rusty, and I'm having trouble proving the following.

Leave $ L $ be a subalgebra of lies of $ mathfrak {gl} _n $ such that the bilinear form given by $ tr (xy) $ It is not degenerate. So any matrix in the center of $ L $ it's diagonal

Some help? Thanks in advance.