I see this cool animated GIF that shows a prism refracting light. Can the light also go the other way, and make the light more focused?

Is it true that a prism that refracts light as well as focuses light?

https://en.wikipedia.org/wiki/Prism#/media/File:Light_dispersion_conceptual_waves.gif

Thanks

Which is the strongest base for an antacid which works the quickest and is the most effective?

I would like to implement a fast fixed point sine approximation for PIC24F microcontrollers on 16bit.
I started from here: http://www.coranac.com/2009/07/sines/
The approximation is done with polynomials: 3rd order up to 5th or even 6th order.
I am stuck in the beginning.
The 3rd order polynomial is S3(x)=(3/PI)*x-(4/PI^3)*(x^3) or S3(z)=(1/2)*z*(3-z^2) with z=x/(1/(2*PI))
I tried an Excel sheet for this function and I compared with sin() from Excel.
Either I make a mistake or the approximation error is too big.
Here is the Excel: https://goo.gl/2KJXj8 
Could you help to debug this?

I have a report I created that shows how many items we shipped on time, early and late. I am trying to find out the percentage of on time.

So for example the totals at the end of the report come out to  92 early 81 on time and 53 late.  What would the formula be to figure out the total percentage of on time (early counts as on time as well)?

Any help would be appreciated!

I am recreating a project I did over 20 years ago to calculate the mandelbrot set.  The code I have written is very simple yet is behaving strangely in two ways:

1) Where I have put in the statusLabel.text = "Working" - it does not change the value on screen.  Even if I put a sleep command in after the change, it still remains at the original value.

2) At the moment, the program will draw a block of orange pixels (haven't figured out the mathematics yet) but only if the Console.WriteLine commands are there.  If I comment them out, not a single pixel is drawn.

---
using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows.Forms;
using System.Threading;

namespace Mandelbrot3
{
    public partial class Mandelbrot : Form
    {
        public Mandelbrot()
        {
            InitializeComponent();
            statusLabel.Text = "Ready";
        }    

        private void goButton_Click(object sender, EventArgs e)
        {
            int Width = 320, Height = 160, x, y, n;

            Bitmap b = new Bitmap(Width, Height);
            mandelbrotPanel.BackgroundImage = (Image)b;

            double MinRe = -2.0;
            double MaxRe = 1.0;
            double MinIM = -1.2;
            double MaxIM = MinIM + (MaxRe - MinRe)*Height / (this.Width);
            double ReFactor = (MaxRe - …

The above was gifted. what would be most ideal specifications to aim for this (for elec wire to go with this for outdoor use)? when searching for outdoor electrical wire, below are specs are needed to be filtered thru.. can you guide how you would choose in the below availability..

Cable/Wire Type: Thermostat Wire,UF-B
Guage: /10/12/14
Conductor: 2/3
Allowed Amp: 15/20/30/50
Solid or Stranded

ideally, more durable to last a few years. (mainly for summer, and possible little snow blower too)
also ideal to have feature to roll it up when not in use

In a class of 40 students, everyone has either a pierced nose or a pierced ear. The professor asks everyone with a pierced nose to raise his or her hand. Nine hands go up. Then the professor asked everyone with a pierced ear to do likewise. This time there are 33 hands raised. How many students have piercings both on their ears and their noses?

Given the following definition, compute Q(5).
Q(n) =

0      if n = 0
1      if n = 1
3      if n = 2
Q(n − 1) + Q(n − 2) + Q(n − 3)        if n > 2
Q(5) =

For a birthday gift for a teen aspiring to put canon camera to good use for scenic photography and also making summer business of taking family portraits, what would be ideal camera lens to gift?

already in procession: 55-250 and 18-55.

any technical ideas on what to consider would be appreciated

HOW MANY PAIR COMBINATIONS CAN BE FROM AN 4 NUMBER

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