Animated mathematics formulae in JavaScript - javascript

so basically I want to show mathematical formulae etc. dynamically as an explanation tool on a little static website.
For example: have a matrix and a slider and animate the content of that matrix to contain the slider value plus the resulting determinant. (Basically I want to do stuff like 3b1b, but in a browser;)
I have already tinkered with the idea and tried to do first tests with MathJax, but its dynamic rendering capabilities are (as of my experience) severely limited.
Also I've failed to find a library specifically designed for this (most Maths libraries are focused on showing graphs and stuff, not maths text).
If anyone has an idea on how to (easily, I'm not a huge JS expert, sadly) implement this, I would be happy to hear it ;)

Related

Full width video background: A non-HTML5, purely jQuery solution...maybe

Long time Stack Overflow creeper. This community has come up with some incredibly elegant solutions to rather perplexing questions.
I'm more of a CSS3 or PHP kinda guy when it comes to handling dynamically displayed content. Ideally someone with a solid knowledge base of jQuery and/or Javascript would be able to answer this one best. Here is the idea, along with the thought process behind it:
Create a Full Screen (width:100%; height:auto; background:cover;) Video background. But instead of going about using HTML5's video tag, a flash fallback, iFrame, or even .GIF, create a series of images, much like the animation render output of say Cinema4D, that if put together in sequential order create a seamless pseudo-video experience.
In Before "THAT's JUST A .GIF, YOU'RE AN IDIOT" Guy.
I believe jQuery/Javascript could solve this. Would it or would it not be possible to write a script that essentially recognizes (or even adds) the div class of an image, then sets that image to display for say .0334ms (29.7 frame rate) then sets this image back in z space while at the same time firing in the next image within the sequential class order to display for another .0336ms; and so on and so forth until all of the images (or "frames") play out seamlessly fluid, so the user would assume he/she is actually seeing a video. Not a knowing it's actually a .GIF on steroids.
Here's a more verbose way of explaining the intended result:
You have a 1 second super awesome 1080p video clip (video format doesn't matter for helping to answer this question, just assume its lossless and really pretty k?). It's recorded at 29.97 frames per second. Break each frame into it's own massive image file, leaving you with essentially 30 images. 24 frames a second would mean you'd have 24 images, 60 frames per second would mean you'd have 60 images, etc., etc., excedera.
If you have ever used Cinema4D, the output I am looking to recreate is reflexive to that of an animation render, where you are left with a .TIFF per frame, placed side by side so that when uploaded into Photoshop or viewed in Quicktime you get a "slideshow" of images displaying so fast it look likes a video.
HTML would look something like this:
<div id="incredible-video">
<div class="image-1">
<img source=url('../movie/scene-one.tiff');/>
</div>
<div class="image-2">
<img source=url('../movie/scene-two.tiff');/>
</div>
<div class="image-3">
<img source=url('../movie/scene-three.tiff');/>
</div>
<div class="image-4">
<img source=url('../movie/scene-four.tiff');/>
</div>
<div class="image-5">
<img source=url('../movie/scene-five.tiff');/>
</div>
....etc.....
....etc.....
....etc.....
</div>
jQuery/Javascript could handle appending the sequential image classes instead of writting it all out by hand for each "frame".
CSS would look like:
#incredible-video img {
position:absolute;
width:100%;
height:auto;
background:cover;
}
But what would the jQuery/Javascript need to be to pull the off/can it be done? It would need to happen right after window load, and run on an infinite loop. Ofcourse audio is not happening in this example, but say we don't need it. Say we just want our End User to have a visually appealing page, with a minimal design implemented in the UI.
I love video animation, and really love sites built with Full Screen Backgrounds. But a site out with this visual setup and keeping it responsive is proving to strenuous a challenge. HTML5 will only get you so far, and makes mobile compatibility null and void (data usage protection). .GIF files are MASSIVE compared to calling in a .mp4, .Webm, or .OGG so that option is out.
I've actually recently played around with Adobe Edge Animate. Using the Edge Hero .js library I was able to reproduce a similar project to this: http://www.edgehero.com/tutorials/starwars-crawl-tutorial
I found it worked on ALL devices. Very cool. Made me think that maybe it's possibly to use this program or hit jQuery/Javascript directly to achieve the desired effect.
Thanks for taking a look at this one guys.
-Cheers,
Branden Dane
I found a viable solution to what I was looking to do. It's actually rather interesting. The answer it's introduces many interesting ideas on how we can display any kind of content dynamically on a site, in an app, or even a a full fledged software application.
The answer came about while diving hard into WebGl, canvas animation (both 2d and 3d), 2D video games techniques, and 3D video game techniques. Instead of looking for that "perfect" workflow, if you are someone interested in creating visually effective design and really seeing what the bleeding edge can do for your thoughts on development, skip the GUI's. Ignore the ads with software promising to make things doable in 5 min. It's not. However we are getting there. 3 major events we have to look forward too in just a few months are
1.) the universal agreement to implment WebGL natively in Opera, Chrome and Firefox (ofcourse), Safari will move to ship with webGL enabled, compered to the user having to enable it manually, and even IE is going to try and give her a go (in IE 12).
2.) Unity 3D, an industry standard in game development, has announced that next month it will release version 5, and with it a complete, intuitive workflow from start to exporting in Javascript (not JSON actual JavaScript). The Three.JS library more specifically as it is one of the most popular of the seemingly endless games engines out today.
How does this answer my initial question?:
Though WebGL has been around for about 3 years now, we are only now starting to see it shine. It's far more than a simple video game engine. With ThreeJS We have a full working JavaScript library, capable of rendering in WebGL, to the Canvas, or EVEN with a few CSS3 magic. Can't use your great movie as a mobile background? It ruining the overall UI? Cheer up. ThreeJS can working with both 2D and 3D javascript draw function, though not at the same time. Hover other libraries exist that allow you to bypass this rule.
AND DRUM ROLL. It is, or can be very easily made in a responsive or adaptive way.
The answer to my question came from looking at custom preloaders. Realizing I can create incredible looping animations in AE, and export them as GIFs offered the quality I wanted, but not control, no optimization, now sound. However, PNG Sequences CAN be exported. Then the epiphany hit. Before I just say what I am using to solve my problem, I'd like to leave a list of material anyone looking to move beyond easy development and challenge limits can use as a reference guide. This will be in order with what I began to where I am now. I hope it helps someone. The time to find it all out would be very much worth it.
1.) WebGL-Three.JS
WebGL opened my eyes to a new world. It's a technology quickly evolving and is here to stay. In a nutshell, all live applications you create now have access to more than just a CPU, but also the Graphics card as well. With GPU's getting more and more powerful, and not so unreasonably priced, the possibilities are endless. The idea we could be playing Crysis 3 "in-browser" without the need of a 3rd party client is no fiction. It's the future. Apply that to websites. Mind blown.
2.) First Cinema4D, then start working around with Verold.com & PlayCanvas.com
C4D is just my personal favorite because if it's easy integration with AE. You will find that with exporting your 3D models, Textures, Mesh's, anything to Three.JS (or any game engine period) that it is Blender that is the most widely supported. As of writing this, their are 2 separate C4D workflows to ThreeJS. Both are tedious, not always going to work, and actually just unnecessary. PlayCanvas was also a bit of a let down. Verold, however is an EXCELLENT browser based 3D editor in which you can import a variety of files (even FBX with Baked animations!) and when you are satisfied you can export into a standalone client or an iframe. The standalone client is superb. It is a bit glitchy, so have patience. You shouldn't get comfortable with it any way. Go back to your roots.
3.) iPhone app development, Android app dev (to an impressive extent), Web Sites, Web Apps, and more all function in a way that an application need only be made using JavaScript, HTML/5 and CSS/3. Once this is understood, and the truth hits you as to how much control you may not have known you had, then the day becomes good indeed. Learn the code. With a million untested and horrible "GUI's" out there that claim to do what you want, avoid the useless search. Learn the code. You can never go wrong at that point.
4.)What code do I need to learn?
JavaScript is the most essential. More on that in a moment. Seriously dive into creating apps of any kind with ThreeJS. Mr. Doob (co-creator of the library) has an EXCELLENT, well-documented website with tons of examples, tuts, and source code for you to dive into. Chrome Experiments is your next awesome option to see how people are really taking this kind of development to a new level. In the process of learning ThreeJS, you'll become more proficient with JavaScript. You will also start to play with things you maybe never had to, like JSON, or XML files for packaging data. You'll also learn how simple it is to implement Three.JS as a WebGL render, or even fallbacks to Canvas and even CSS3D if and when possible.
Before going on, I will make a caveat. I believe that once Unity 3D drops ThreeJS fro pro and free users, we will see much much more 3D in the web. In that case, it can't hurt to Download the software and play around a bit. It also serves an an excellent visual editor. There are exporters from Unity 3D to ThreeJS, but again they are still pre alpha stage.
2D or not 2D. that is the question
After getting a little dirty with 3D I moved into drawing in the 2D realm using the canvas. Flash still seems like a viable tool, but again, it's all about the code. Learn how to do it and you may find Flash is actually costing you time. I found 2D more difficult than 3D because the nature of 2D has yet to radically change, at least in my lifetime. You'll need to start learning Spritesheet creation tutorials. Nothing incredible hard if you know where to look. Use A photoshop, or an equivalent application. Create as many "movement" frames that if were put together in a GIF would be enough to seamlessly loop the sprite. OR render a master image out and cut around the elements naturally distinct pats. Ex: You want to make the guy you have standing on a street corner you created, stays. Cut that character up in as many separate PNG files as you believe you need. The second method is all about using the same sprite sheet we brought in the first try. The first scenario meant writing CSS selector and have javascript written for the regular user would become increasingly difficult.
First solution: Using CSS and Javascript to plot "frames" meticulously put together in the sprite sheet. This really can become a pain if not done correctly all the way through.
Second solution: We lose the frame by frame effect if we need it, but our overall 2D animations will look incredible. Also, building in this way creates more efficient games when implementing physics engines and setting up collision detectors. We will still use the same sprite sheet, however we only need to choose the frames we really actually need. The idea is to use dynamic tweening between frames that are called together via Javascript. In the end you have a fully animated Sprite, but could have done so with just one frame. Ex: You have a Stickman you want to show walking in a straight line. Solution one would jump frame by frame, creating a mild chop, to illustrate an animated walk. In solution 2, we take the Stick man and chop his dynamic bits apart so we can call them through JavaScript, then build our sprite from JavaScript directly. To create the walking effect, we cut apart stickmans legs and have those separate in the sprite sheet from the rest of his body (unless you need to animate another body part as well). We map out where the coordinates are for each piece of stickman. Free software like DarkFunctionEditor is one of many programs that will instantly take care of generating for you a reliable sprite sheet, printing out the coordinates of your sprite sheet after you bake it. With this knowledge, head into JavaScript and call in your variables that you wish to associate to the pieces of Stick Man and their corresponding coordinates. Then use Javascript to "build" all the pieces together. The walking animation is accomplished by the Tween we talked about earlier. Each leg essentially runs on a beautifully fluid path you set in JavaScript. No chop. Very easy to customize and control. If you want to make it even easier for yourself, try using one of the many libraries for Sprite animation. My favorite at the moment being CreateJS.
If you are looking to include collision detection or create particle systems then you will need a physics engine. For 2D I am torn between 2 at the moment. Right now I would put PhysicsJS over KineticJS. Both are fantastic. I believe PhysicsJS integrates with CaccoonJS and other mobile scripts easier.
My last words of advice are=, after reading this, understand you will be working will JavaScript. You will have a bit of jQuery to make it easy, but you will encounter things that are difficult on the way. My HUGE recommendation is to move into learning how to build using NodeJS. It's an Asynchronous Javascript Server-side and client-side development space. The documentation is wonderful. Your first stop should be learing about npm, and bower. Then understand how to effectively implement Grunt into the workflow. Try out NodeJS assets like Yeoman to give you "boilerplate" Node setups from which to start with. After you start understanding NodeJS mechanics and feel comfortable with setting up your initial package.json, you'll find that all this JavaScript will almost feel like it's writing itself after a certain point.
And that's all you need to know to get into 2D and 3D design and development. My initial question could have been answered using say a 3D rendered fullscreen. However my final conclusion came in a different method entirely.
After learning about 2D sprites and framing, then noticing the encoding process of gifs. I had the idea to try and create PNG Sprite Animations. Not PNG Gifs, per say. But rather creating a 2D scene and using a PNG sequence that I would then animate via JavaScript. I found a few great libraries on Github, both for my idea and cool ideas for GIF manipulation.
My final choices was with the Github Repo "jquery.animateSprite" Instead of mulling through sprite sheets, you take your individual PNG's and this library gives you an incredible amount of control in how you can store variables for later use, but also the animations you can pull off in general. For a full screen, responsive background that works on any device (and can even be animated to sound....) I'd recommend this technique. It works much like a flip book animation works, except much much more effectively.
I hope this helps someone along the way. If you have a question on anything I have mentioned here, or know of an area that needs further detail, then by all means please let me know.
-Cheers

Building a simple WYSIWYG Editor

I understand that creating a WYSIWYG/Rich Text Editor is an absurd thing to do given the many different, annoying things that are required to achieve cross-browser support. The project I'm currently working on, however, requires a very very simple WYSIWYG editor (three options, link, bold and italics).
My question is then, am I going to spend as much time customizing and paring down TinyMCE to fit my requirements or is the task of creating my own a fairly simple one given the fact there's only three options (and nothing like text resize or undo/redo)?
Also, is the general consensus still iFrame and designMode or are we significantly far along the HTML5 train that I can go with contentEditable?
You have to ask yourself one question, do you feel lucky^H^H^H^H^H^H^H^H do you want to maintain said WYSIWYG editor?
Two years ago I thought this would be a good idea. I took the editor used here on stackoverflow. Threw away all the UI code and re-wrote the whole thing from the ground up, only saving the markdown parsing piece. And let me tell you, markdown is a whole lot simpler than HTML/WYSIWYG. The final javascript, UI only, is 1600+ lines of code and took about 2 weeks to write the first pass of full functionality.
I implemented it into the web app I was working on a the time and learned something real quick: I was now spending 50% of my time maintaining an editor and the other 50% of my time delivering code for the actual domain-specific part of the web app I was working on. That basically means I was spending half of my time not delivering anything that really contributed to the bottom line of the web app.
So how about you -- Is this WYSIWYG editor such a core, critical part of your app so much so that you'd be willing to now spend half of your time supporting it -OR- is the other bits that your web app is doing far exceed the importance of this one piece of your UI so much so that you could "farm it out" to TinyMCE?
Also, there are a lot more options out there besides TinyMCE which you could use as a starting point.

replicate the javascript glow around the giant cloud on MobileMe Login Page?

If you access your mobile me account online with Safari, you can select an icon and login directly to selected service, great feature btw.
But if you access the same page using other browser like firefox or Chrome, you will see a gorgeous login page with a big, no huge cloud in the middle (the MobileMe logo) and interesting lighballs comming out of it.
Here's the link:
https://auth.me.com/authenticate?service=mail&ssoNamespace=appleid&formID=loginForm&returnURL=aHR0cHM6Ly9tZS5jb20vbWFpbC8=
And the greatest thing is that you can mouse over those little light balls and they follow your mouse movement.
Its just beautiful and i have never seen anything like that in Javascript. And i couldnt understand by looking at their code, how they did it. Of course their javascript is compressed so i couldn't look at it, but in the markup those shiny lights are just a bunch of canvas tags.
Does any one have an idea of how to make something like that? Its probably way beyond my javascript skills but it would be great to add such an effect to one of my projects.
Thanks in advance for all your suggestions ;)
that takes a lot of skills. I believe its achievable with processing.js
http://processingjs.org/
Take a look at this [quote]:
So, how is this eye candy accomplished? Through over 6000 lines of
(unminified) JS. MobileMe usually uses SproutCore for its
applications, but after looking through the source code, I didn’t find
a single reference to it. There did appear to be some resemblance of
a library being used in the login page, however, but I think it is
pretty custom. There appeared to be a class for each of the visual
components on the screen, at least one if not two separate animation
libraries (one 2d and one 3d), a particle rendering library, and
libraries for dealing with canvas drawing and DOM manipulation.
So it looks like it was custom made. You can read more here: http://badassjs.com/post/1649735994/the-new-mobileme-login-page-has-some-badass-js
I hope this helps.

Anyone knows the algorithm for this kind of rubbery effect?

I'm doing some animations and I want to implement something like this on the web. I was thinking that the HTML canvas can do this kind of job. Because I can scale part of an image. I just need the algorithm to actually make it work.
The effect is elastic, if the window is small, the greater the elasticity of the window when you restore it. I was thinking that I can make this work in web images.. if the user click the image it will scale with this kind of effect, not the boring way of scaling.
This is ubuntu, I know that we can look at the source code maybe to see how it actually implements the animation. But I dont know where to find it. Or i don't even understand codes written in linux because I just understand php, javascript. Basically I'm not a software developer, My core expertise is in web development.
http://www.youtube.com/watch?v=hgQP-aFragQ
I believe your best bet is having a look at John Resig's Processing.js.
Processing is a animation language for Java; John has ported it to the browser using canvas.
Your not going to find a web based solution that is going to do this for you. If you need something like this done it will have to be in flash or some other application (Lenni mentioned Java) that runs in a separate media box embedded in a web page.
People don't want big flashy animations, seeing something that is 'boring' is much better if it becomes more usable.
First up - I don't know the actual algorithm they use here.
However, I'd attack this by creating a grid of points (say 10x10), each point attached to it's neighbors by damped springs. It might be worth anchoring the edge/corner points to the screen with springs too.
By deforming the grid (stretching and compressing the springs) and then modeling the spring responses, you'd get some interesting effects like those shown. You might then be able to record the patterns so that the points can follow a pre-computed path for faster animation if your animations are predictable.
Then you need to work out how to split the image and map it onto the grid. The splitting may be better done once on the server, but the client can do it if you use canvas.
svg & vml is a possibility - they'll work without plugins and are similar enough to code for, but I don't think you'll get correct enough image deformation. However, you can scale and rotate with impunity (and quickly) so if you just anchor 2 cell image points to the grid rather than all 4, you'll get an interesting animation - not quite like the video, but pretty good.
As for how to model damped springs, you'll need to keep track of the mass of each point (how heavy it is), how much force the spring is exerting on each point (scalar of how compressed/stretched it is and it's vector) and a damping force on the points (resistive force to the square of the velocity of the point).
It's physics modeling, to be sure, but quite possible.
The response may well be slow. Especially on IE. Canvas needs a plug-in on IE, so if you use canvas, IE folk wont see it. SVG works on almost everything except IE, but it does have VML which is similar. http://raphaeljs.com/ is a library that uses whatever's available. This will be a challenge to tune up :)
However you do this, it will always look best in chrome, the V8 javascript engine outstrips everything else for this kind of work. IE has the slowest javascript engine.

Web page image effects - JavaScript? How else?

I have an idea I'm trying to implement.
I want to display half a dozen pictures on a screen, in say a circle shape, and as I hover over one with the mouse it fades from grey and white into full colour, maybe even getting a little larger, or generating a drop-shadow effect which stays while the mouse is over it.
Although I'm not too shabby on VB6 and SQL Server, my web development experience extends about at far as using notepad to generate raw HTML to display some favourite folders, links to websites and documents etc, in Active Desktop.
So guys, what programming resource websites should I be looking at, such as w3schools.com and specifically whether I should be using JavaScript or some other method ... also specific method calls to look at would be good.
I'm not after "here ... try this code" and then 10 screens of code to cut and paste, I'm after tips, such as "for the positioning, look at www.thiswebpage.com and look at XYZ" and "for the fade effect, look at ABC method on JavaScript" or whatever.
EDIT: 14/07/2009 - Just thought that this might be pertinent. I'll be hosting the pages on a Google Apps hosted website.
Also, the black and white fade effect wasn't the only effect I was considering, it was just one possibility. Other nice, subtle effects might be considered.
What you want to implement shouldn't be all that difficult. However if you do not know any JS then W3C schools is a good place to start.
You should also check out Mootools. It is a great framework for all your JS needs. They also have some great demos you can try.
For general effects and starting point for this type of user experience: JQuery
From there - research jQuery plugins that do this type of thing. Good search terms may be carousel.
Raphaël is a very nice Javascript library that can do everything you want. For instance, they have demos with drop shadows on images and with image rotation.
For that type of work I like to use Scriptaculous. It has a number of animation commands that are easy to use. You can run a bunch of effects in parallel on a DIV, so you can easily perform a MOVE and a SCALE effect on the same object and it handles the synchronization.
You can do all of this with regular old JavaScript.
Here is an example of a MOVE:
new Effect.Move('yourDIV', { x: 0, y: 0, mode: 'absolute' });
You could probably get a quite similar effect done by using some JS library which can animate CSS properties nicely. For example Scriptaculous and jQuery can probably fit the task and should be simple to learn.
The basic idea would be that you have an image in a div. The image's transparency can be set to 0.5, so the div's background color shades through it. This way you can get an effect similar to a black and white image with the correct choice of a background.
If you want an exact black and white effect or such, you will have to generate black and white versions of your images, or use the HTML5 canvas element to manually apply color transforms to the images. That won't work in older browsers and internet explorer, though.
Learn JS, you can learn the syntax from http://www.w3schools.com/JS/default.asp
Expand this knowledge with articles from known writers, like Crockford.
Salt it all with learning one of the leading frameworks (I like Mootools).
While doing steps 1-3 code, code, and do more coding.
You will need some form of Javascript, and if I were doing that I would look at the Script.aculo.us library. (An immediate effect could be done with CSS, but for a gradual fade, you will need Javascript.)

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