Squares 0-50

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Lacy Tortelli

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Aug 5, 2024, 12:43:30 AM8/5/24

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Square1 to 50 is the list of squares of all the numbers from 1 to 50. The value of squares from 1 to 50 ranges from 1 to 2500. Memorizing these values will help students to simplify the time-consuming equations quickly. The Square 1 to 50 in the exponential form is expressed as (x)2.

Learning squares 1 to 50 can help students to recognize all perfect squares from 1 to 2500 and approximate a square root by interpolating between known squares. The values of squares 1 to 50 are listed in the table below.

Notice that the square is now drawn at a position determined by the values of x and y. If we were to use a loop, and each time that loop executes, we draw the square at a different place, then we will draw several squares.

As you can see, it prints out the numbers 0 to 4. Why? Well a for loop consists of three parts. First is the initialization. This instruction happens once when the loop starts. For this loop, this sets the variable i up with the value 0. Next is the condition. If this condition is true, the body of the loop runs. The condition here is i Paint the Squares Number Charts is an interactive way to explore number patterns such as odd and even numbers, counting in multiples from times tables and ten more and ten less. We have added more paint options such as splats and also extra grids which include negative numbers and decimals. The resource is designed primarily for use on interactive whiteboards.

There are various sized grids, all of which are configurable. The largest goes up to 120. Squares can be painted by clicking on the squares and numbers can be hidden either individually or completely. The start number can be varied and the whole grid flipped to present the numbers differently if required. There are puzzles on all the grids and these offer varying degrees of challenge. Their purpose is to promote understanding of number series.

I am developing code for fitting a least-squares quadratic to data from sensors. The method involves creating an appropriate matrix, finding its inverse, and multiplying a data vector appropriate for the sensor data by that inverse matrix. Everything works OK until I perform that last multiplication. There, for example, multiplying the term 19.00 from the inverse matrix by the corresponding term 2100.00 from the data vector yields 39895.88 instead of the correct value 39900.00. However, performing the matrix multiplication using data copied from the calculated matrices yields correct results; 19.00 * 2100.00 = 39900.00.

Thank you. Did you run the code? The printed output shows that it generated values 19.00 and 2100.00 OK, and that then the product of those two numbers was in error. It does not look like a rounding-error problem to me. The computer seems to have used 19.00 and 2100.00. There is a lot of pointer use, and I wondered if that had something to do with it.

Yes, I have. The errors I'm getting seem too large to explained that way. Besides, my program prints out that it used calculated the values 19.00 and 2100.00, and found their product to be 39985. If you are correct, isthere a way I could process the 19.00 and 2100.00 to yield a more accurate result?

You are absolutely correct! I printed out the two numbers in the DEC format and found that the 19.00 and 2100 displays in the default format are actually 18.9980392456 and 2100 using the DEC format, their product being 39895.8824. Thank you for helping me. Much appreciated.

So I'm having a bit of a rough time doing something that seems kinda basic. I've tried doing a lot of research, but I'm really kinda stuck on the higherarchy pixi uses to create vector images. I'm creating vector based UI for my game, and to do this, I need to make a square frame (like a picture frame with the center open); and then rotate said square 90 degrees so it's standing on one of its points like a diamond. Basically, my UI is going to be composed of a bunch of these square diamond icons.

Thanks

"PIXI.Graphics" works different from canvas 2d context, but its possible to make holes in it: make a diamond with moveTo's and lineTo's , close the path, make another diamond, call "addHole()" method - the second diamond will be the hole of first.

You can also do the same with squares, with center in (0,0), then apply rotation to the graphics : "myGraphics.rotation = Math.PI/4" . Yeah, pixi uses radians, its not cool but we'll have degrees option in v5

Anyways, I tried what you suggested with the rectangle method. But one thing I didn't understand was the relationship it had with the PIXI.Graphics class. Am I meant to apply rotations and movements to the PIXI graphic? Or the rectangle. Also, I notice the PIXI graphic and rectangle both have their own separate positions. When I create the rectangle, am I supposed to put it's position exactly equal with the PIXI.graphic?

@ivan.popelyshev Thanks so much for your help. I'm trying to practice some of what you're talking about so I can get a grasp on how it all works. But as of now I can't even get the rectangle to draw properly. In the code below, why isn't my rectangle showing up?

@ivan.popelyshev

One last question (I hope). I seem to have things mostly figured out. But I wanted to ask if addHole() is possible to use on diamonds drawn with drawRect()? I've included some code below where I attempted this, and got strange results. In general, addHole() and vectors in pixi are difficult for me to grasp, as they're counter intuitive to the way most code works in pixi. There isn't a clear way to select vectors you've drawn, whereas most of the time, simply declaring a variable is how to define something so it can be easily called on later. These vector shapes... don't appear to work that way. You draw them and they all float under some generic "graphics" constructor without a name to select them with.

First thing important to understand, there are no vector graphics in PIXI. Everything goes to GPU and GPU don't deal with vectors, only raster. It's important because you need to know what you are dealing with as you code.

Second, drawing is all about math, it's not really about PIXI or whatever methods to draw with PIXI offers, sure PIXI offers a bunch but all those methods make sense if you understand the math behind it, if you don't then you are left experimenting. Because it's all math you can draw a diamond shape in literally bunch of different ways in PIXI, rotated rectangle after a beginFill, rotated rectangle after a lineStyle, polygon, moveTo/lineTo, ect .... Ivan can probably tell us which ones is the less expensive to use but regardless it's all here and it's all math. Here this will get you started:

Okay then tell me, is there any advantage to using this mess to build a UI over simply importing sprites? Don't get me wrong. I really appreciate time you've taken to explain things to me so I can understand. But I really need to get a move-on with this project and unless there is a distinct advantage to having a difficult to manage wall of code for one solitary tiny diamond Icon, then I might need to go with a more time effective method.

Edit: Wait a minute, oh, this is a function you've written that draws a diamond? Huh... Public, void? Is this javascript? it looks like Java. Also still interested in knowing why what I did didn't work with addHole()

Okay so for those of you who might run into similar issues as I have, I've figured things out a bit more clearly and am going to explain what I did.

First off, no, addHole() does not work on drawRect(). However, it does work with drawPolygon(). With draw polygon you make a shape by specifying points. Each pair of points are treated like a pair of x,y coordinate points. So for this:

Again, this is probably laughably basic for most programmers. But I'm primarily an artist. So that'll be my excuse. Before what I was doing was calling each line individually, and I guess because I did that, addHole() didn't have a "first" polygon to subtract from:

If you have the ROI coordinates, and you want it in the middle of the square, simply add/subtract half square side or half diagonal in degrees to get the waypoints coordinates for two simple squares (squares with side or diagonal north-south (no rotation)). Check here.

1. Auto take off from home and proceed to your north 100 meters

2. Once you hit this point, fly a square box shape centered on the point. Fly the square pattern three times within 60 seconds.

3. Then proceed to your west and hover for 15 seconds and proceed home to the original location.

Simply, read any .waypoints file with a text editor and compare. You can also copy&paste lines above into a .waypoints file, change spaces in tabs and it should work (if not, inspect it with a binary editor for any strange characters).

Sure? I suppose you want to run this square several times, with ROI moreless at its center:

square10001350 199 KB

but in MP result triangles. See this video. In QGC the same happens (both are observers).