Good morning everyone, this is Norm Coombs from EASI. Welcome to the last in our four-part STEM series. We've got some other interesting STEM things I hope to bring you sometime this next fall. But for now we are going to be skipping our intros about EASI. Obviously you are all here you know about us, you know about our webinars. A couple of you have memberships, so wonderful. If you don't know about all of this go to EASI.cc and read about webinars courses, membership site. I have a longtime friend of mine, John Gardner, who for many years was teaching at Oregon State. He is now retired and devoting himself full-time to some products that he has developed to help with accessible tactile graphics and other aspects of math accessibility. So I'm going to turn the mic over to John, so you can go ahead and lock it, John and we will sit by and, looking forward to learning about LEAN math. I'm always looking for a new diet plan, so I hope it works.
JOHN GARDNER: Okay, thank you, Norm. I have locked it on, because I need the control key now to actually use the math editor. And what I will do. I'm going to read a little introduction that I've written at the beginning of the word document, then I'm going to unlock it and come back and make sure that the technology is working the way it should be and you can hear everything and so forth and so on and know that the desktop sharing which is the reason that we had to reschedule, the desktop sharing is working this time. So let me start. I'm going to let my computer read the document. I am using NVDA by the way for my screenwriter
SCREENREADER: Introduction to LEAN math by John Gardner. LEAN uses interface to error word plus MathType got. When the editor is active, the screen has three lines, one, the LEAN integration, one a message line, and one a braille equivalent. There is also a flip routine that flips equations MathType to LEAN forward and back.. These will be demonstrated now. Blank.
JOHN GARDNER: Now I have taken off the full audio on and I hope that the audio came over and loud and clear and people that are seeing the desktops, so if there is any feedback, please speak up.
Norm Coombs: It sounded good to me, John.
JOHN GARDNER: Okay well, in that case I will move on. What I would like to do is to show you a document that I've already prepared. So you will get the idea of what LEAN is, and then we will do some derivations on the computer. Now this is, LEAN has just started its beta test. There are some bugs in it. I found some this morning in fact. So it is not quite ready for market but a lot of it is working very very well. So now let me go to the document that I want to start with.
SCREENREADER: EC one read on for LEAN, item.EE derivate derivation 1.doc 17 of 15 derivation 1.docs – Microsoft Word. Derivation 1.docs. Microsoft Word.
JOHN GARDNER: Okay so this is a Word document. It is the derivation of the famous equation for the solution to the quadratic equation.
SCREENREADER: Derivation to the solution of a quadratic equation blank given the equation. Embedded object.
JOHN GARDNER: So we run into a problem right there. This is a standard Word document. What that embedded object is is a MathType equation. And I can't read the MathType equation. At least not quite as easily as I would like to. So what I want to do is to use the flip routine to flip this entire document from MathType notation into LEAN notation and we will read this again and continue. So I'm going to do is hit Windows D to go to my desktop.
SCREENREADER: Folder view list flip to MathType FS flip to LEAN
JOHN GARDNER: I have gotten focus on the flip to LEAN which is the flip that I want to use you also are there is a flip to map site so if there's only a conflict to MathType if it's in MathType by flip to LEAN. I'm going to press this button and you will hear the progress moving along
SCREENREADER: Application C:
[Beeping noise]
JOHN GARDNER: Okay, so it is finished flipping from MathType to LEAN.
SCREENREADER: Derivation 1., derivation 1.docs
JOHN GARDNER: What I would like to do is go to the top of this equation and read it again.
SCREENREADER: Page 1 derivation to the solution of the quadratic equation. Blank. Given the equation. AX squared plus BX equals zero.
JOHN GARDNER: So now I can read the first equation it has been flipped to LEAN notation and I think flip Tulane notation is pretty obvious. I will just up through the equations step-by-step. I have NVDA pretty slow right now but it's still pretty fast for reading math. Let me go to the stop of this equation.
SCREENREADER: AX squared plus BX plus C equals zero.
JOHN GARDNER: Okay that is the equation and the purpose of this paper is to solve the equation.
SCREENREADER: Where 10, one can drive the solution by completing the square dot. To obtain. Zero,, one can derive the solution by completing the square dot first divide both sides by A to obtain X squared plus fraction B over end fraction X plus fraction C over end fraction equals zero.
JOHN GARDNER: There is, it is reading the equation just fine. But a typical screenwriter, it is pronouncing letter a as the sound, so it's a little bit harder to understand so let me just go through this equations step-by-step from the beginning.
SCREENREADER: X squared plus fraction be over letter a end fraction X plus fraction C over A end fraction equals zero.
JOHN GARDNER: I will stop to see if there are comments to come from the audience every once in a while so let me pause here to see if there are questions or anything going wrong.
BETH: Nothing yet but if something shows up being typed then I will let you know.
JOHN GARDNER: Okay I will go back on to automatic, then. Okay, so I have showed you a few lines in reading this equation. What I would like to do is to show you a little bit about the editor. What I'd like to do is ignore the fact that I have this document already, suppose we were actually as a homework exercise having to write down the solution to this document. I'm going to go back to the original document that I read with the introduction on it and we will now start arriving this equations.
SCREENREADER: Document one –, Doc, blank blank
JOHN GARDNER: okay, let's start this.
SCREENREADER: TAESL [inaudible]
JOHN GARDNER: Not putting a number of extra characters terms in to hear because one of the presentness of LEAN is that it's, you need to put some white space and before you can blend it in, I will say that. Okay, so so we need to do is put in the equation let me show you how I do that. I show you have gone to my desktop to do the flip routines. Let me go to the desktop and show you one other one.
SCREENREADER: Pane, folder flow plus, LEAN edit
JOHN GARDNER: There is something called a LEAN editor there is these three links are put on when you install the LEAN application. I've done something else on this too, this one in particular I've used it a lot it gets a little annoying to keep going to the desktop and pushed the buttons. So what I put is a hotkey let me show you how I did that for those of you who don't know how to do it this is a shortcut to the LEAN editor and I open up the shortcut by pressing alt enter
SCREENREADER: LEAN edit properties dialog shortcut property page Lane
JOHN GARDNER: I'm going to go down 10 twice
SCREENREADER: Starring: shortcut key: hot cuts key control plus all plus
JOHN GARDNER: What you just heard is that the shortcut key is set to all plus control plus G. I chose G because I have quite an key assigned, typing G and went down to okay. To the okay button and pressed okay. So I can do one of two things. I can go to the desktop and go to the editor, which is, hello?
SCREENREADER: EC1, EC: derivation one… Derivation, now subtract the X, EC Green icon, document one – Microsoft blank blank
JOHN GARDNER: Okay this is the spot that I want to be. I can either go to the desktop
SCREENREADER: Pane, folder view list
JOHN GARDNER: Okay so I will just do it this way, this time
SCREENREADER: [Inaudible]
So if it's a bunch of stuff and I hit the control T to get it set up. What is opener is the lead editor. I will confirm that I made it by pressing the left arrow key and I hear a tone which tells me, let me type in the equation that we have before, that was letter a X okay, the letter a repeats itself as Italic A, the X is italic text and the reason it does that is because conventionally math equations printed of variables are done in an italic font. So by default this is putting things in italic font and its segment to remind you that it's an italic font as you are typing. The X needs to be squared. I have a hotkey that can do that. There are number of ways to do it. Let me just show you, what shall I do? For novice users who have not learned the hard keys yet, novice users can use the function keys. The function keys are all pulldown menus and F2 is a pulldown menu for a lot of common characters. The square character is a character in this case.
SCREENREADER: Common symbols.
JOHN GARDNER: Common symbols and let me hit S squared the first one that comes up is squared, and I will hit the enter key and I will go back.
SCREENREADER: Squared XA
JOHN GARDNER: The beginning is letter a X squared. So there is a hotkey for squared which is the @. So you hit shift whatever it is to get the @. You will get the square. So there are a number of hotkeys that as you begin to learn LEAN you can be more and more efficient but in the beginning you can find anything that you need in the menus, which are all pulldown things for the function key so explore the function keys and all of them. When you find what you need, they all should have the hotkeys by them. I don't remember whether I heard it say actually @ four squared, but okay. So we've got X squared, the next thing we need is plus.
SCREENREADER: Plus cannot insert anything between a script and X.
JOHN GARDNER: Okay I missed out because I was trying. I was trying to put the + between the X and squared and I got an error message that said you cannot do that. So let me try to put the + after the squared.
SCREENREADER: Plus B italic B
JOHN GARDNER: You actually hear NVDA speaking this twice. There is an easy way with B (inaudible) to keep this from happening, just put it on silent mode, which is it is shift insert, and S so I put it in sleep mode. It continues to work, but NVDA just gets information from the LEAN editor. So I've forgotten where I am. So I put in the B. Let me put in X.
SCREENREADER: Italic X
JOHN GARDNER: So I got AX squared plus BX equals C equals zero. That's fine. Now I want to save this. I have several preferences that I can save as and let me check my preference to make sure that it's only because I want to save it as link. When I go to preference I can use the function keys to pulldown function key F for I believe will give me a list of hotkeys. But I know the hotkey for this because I said over time control P control preference.
SCREENREADER: [Inaudible] ending, 20.
JOHN GARDNER: So that is not the preference I want to change. [Inaudible] it's telling me that the default preferences presently set for LEAN. And just to show you if I wanted to change it.
SCREENREADER: Math ML press enter to save, and arrow for other.
JOHN GARDNER: So I can save as at math ML, I can save as braille, I can save as LEAN and it's back where we are. I'm going to hit escape because the preferences that where I wanted to be.
SCREENREADER: Action aborted
JOHN GARDNER: So then I hit control S at the point where the cursor was when I turned on the LEAN and it will close the LEAN editor and it should be focused on the word document but for some reason the screenwriter is which is the hotkey to turn the editor okay what I will dot recognizing it so I have to go in and out to get back into my Word document, so I had control S. And
SCREENREADER: LEAN, items, derivation 1.document one – Mike, document
JOHN GARDNER: Said I'm in the document that I've been working on and
SCREENREADER: The solution in the equation, X squared plus BX plus C equals zero.
JOHN GARDNER: Okay so I have my first equation there. And let me go beyond it and write something else.
SCREENREADER: XY space [inaudible]
JOHN GARDNER: Okay so what I've written is
SCREENREADER: We will first divide by and then complete the squared out.
JOHN GARDNER: We will first divide by letter a and then complete the square. I forgot to do something while I was in this equation, so let me open up my LEAN editor again. What I did was to focus up to the equation I just created and I'm going to hit, go to the beginning of the equation, hold the control, sorry to shift on and hit the end key and what that is doing, it is choosing the entire equation, this is just exactly what you would do in Microsoft Word so like the line so it chose it and spoke it, and now I'm going to hit control C which is standard hotkey for saving something.
SCREENREADER: Copied to standard clipboard.
JOHN GARDNER: It's copying to standard clipboard I've already save this on going to exit and I can exit in several ways, although F4 is a standard way of doing this, so I'm exiting all right, so
SCREENREADER: We will first divide by
JOHN GARDNER: now what I'd like to the next line, what I want to do on the next line is divide by letter a. So, open the editor.
SCREENREADER: LEAN editors C:/
JOHN GARDNER: Okay there's nothing in the editor, it's empty but I've saved that equation and let me pull the equation back now and hit control V which is the standard for pasting.
SCREENREADER: pasted
JOHN GARDNER: I'm going to do one other operation here and then I'm going to quit and see if there are any questions. Let me go to the beginning of the equation. Okay, what I want to do is divide by A because I want to have X squared and not AX squared. I divide by A and in the first term it means that A disappeared, so I [inaudible] was left in the first term is XY, and what I'd like to do is keep this in the form of the fraction B over A times X. There is a nifty way to do this. Let me choose the B, hold the shift key down with the right arrow, it says B, it is selected and there is a nice function that I put in here which is called creating a fraction. So it is the will go into the numerator fraction and going to the give you a chance to put it into the denominator.
SCREENREADER: Convert region to fraction numerator.
JOHN GARDNER: I entered the hotkey correctly, so now there is a place where I moved over with the right arrow
SCREENREADER: Insertion symbol denominator.
JOHN GARDNER: It's waiting for me to insert the denominator, that is A.
SCREENREADER: Italic lettering
JOHN GARDNER: Let me go back to the beginning of the equation.
SCREENREADER: X squared over A end fraction, plus C, so now I want to go C by A so I select C, hit convert again. Convert two (inaudible) numerator, over, insert A
JOHN GARDNER: And I'm done, if I divide by A I still get zero. Okay so and it will be in cool, it will be equal to have this equation again. I choose this equation and save it.
SCREENREADER: Taskbar, LEAN derivation easy desktop doX equals cument one,
JOHN GARDNER: So now I am back in my empty document and what I should have is the first two steps of writing this equation. Let me just read it and then I will quit.
SCREENREADER: A plus X squared plus P equals zero we will first divide by and complete the square cut. Ask where to plus fraction B over end fraction X plus fraction C over end fraction equals zero.
JOHN GARDNER: Okay so I think you see where I am. I'm going to quit and ask for comments or questions if there are any.
BETH: John, wants to know if LEAN math is free software?
JOHN GARDNER: LEAN Math is going to be free to individuals. But there will be no support by view plus by the way and I don't know if Norm had mentioned that I'm the founder and president of Views plus and View plus is sponsoring we will distribute LEAN and give free licenses to individuals but we will charge agencies and provide them with good support on LEAN. I hope the blind math list will eventually be able to provide individual support of course we will solve support packages but obviously a company can afford to provide support on something they are giving away for so the lesson will be but you have to go to [inaudible] to get any support on it. Okay I will go back to Beth.
BETH: Betsy has two questions. One is how did you and the denominator and the second is how can individuals could support.
JOHN GARDNER: Okay, I ended the denominator, I just typed in letter A, then they had a right arrow and it took me out of the fraction. I could've hit the left arrow and got back into the denominator. It is just linear, so it is not, the particularly difficult. By the way, you cannot in the LEAN editor putting a beacon fraction indicator. What you do is put in a fraction structure. I think I guess I haven't shown that you can put in a fraction structure that leaves an open numerator and open denominator but it restricts you to keep from making lots of compiling errors when you can put in structures, but there are lots of individual structure symbols that you just don't have access to. I think that is a good thing. The second question Betsy asked will you sell individual support? Yes we will sell support packages. Frankly I frankly don't know how much how much the support package is going to be but we will certainly sell support packages who want it. And we will give trainings, we will give online trainings online trainings that are free we also give trainings to large entities like universities often we give trainings quite frequently in conjunction with other things like a training on one of our imposters or something like that okay, back to you, Beth.
BETH: Betsy says I understand it's linear but she did not know about the delimiter to a numerator or a denominator.
JOHN GARDNER: Okay well I will tell you what let me just demonstrate that answer the question by showing and then I will be back. So I'm going to go on [no audio available] okay, I finally made it work.
SCREENREADER: X squared plus fraction B over 9 feet, blank, blank.
JOHN GARDNER: Okay I just opened up a blank area. Now let me open up the editor. C:,/. Okay, if the editor so Betsy asked about a fraction let me just read the equation X equals fraction A over B.
SCREENREADER: X Italic X equals
JOHN GARDNER: okay, now I can find in the menus I can find days fraction structure and bring it down I think the structures are F3
SCREENREADER: Structures (inaudible), since flexible fenced fraction left control over, insertion symbol numerator.
JOHN GARDNER: Okay so I just went to the hotkey, sorry, the function key F3 which is a pulldown key for structures. F2 is a pulldown key for common symbols F3 is a pulldown menu for common structures and then what I went down to find the fraction and I put in a fraction. So before I put anything in the fraction let me show what I have. There is an insertion symbol which is standard Unicode insertion symbol the insertion symbol is for standard numerator over
JOHN GARDNER: There is an insertion symbol showing for the denominator
SCREENREADER: End fraction
And the person end fraction and it will stay like that until I put something in there. So let me move back to the numerator until I put something there.
SCREENREADER: Insert number numerator.
JOHN GARDNER: Track, so I moved back to the beginning. X equals fraction
SCREENREADER: A over insertion over denominator.
JOHN GARDNER: So B needs to be put in there.
SCREENREADER: B, Italic be done, end fraction.
JOHN GARDNER: So just move past it… Means I don't have a symbol, what are you doing. Okay, Betsy X equals fraction A over B end fraction, and one more little comment, when I'm typing it in its reminding me that I'm typing in Italic letter a Italic B but when I am reading it it's not saying that because frankly I think it would be very annoying if you are reading an equation for you to say Italic a times Italic X times Italic B it drives me crazy, so it doesn't say that. But if you wonder whether it is Italic it is easy enough. The F1 key is actually reserved for pronouncing for getting extra information. So I'm on B I am on the B.
SCREENREADER: Italic B, unknown key.
JOHN GARDNER: So I press that would did it say that for? There's an interesting but it's doing what it is supposed to do and then it's telling me what it does not know what the key is. It's telling me that it is Italic B. I also do not pronounce cap because I find that annoying if your screen reader is reading an equation and recognizes capital C will give you what ever you have as your cap sign. Let will just change this, I will hit the delete key and putting a B.
SCREENREADER: Italic B.
JOHN GARDNER: It reminds me it is Italic B but when I back up it says B
SCREENREADER: Italic B on key.
JOHN GARDNER: And it says unknown keys I'm going to go back to back, off of automatic.
BETH: Okay, wait a minute. I lost my question. Okay first of all Betsy also said the built-in structures are a good idea because it prevents compilation errors. And then grandma wants to know about Jaws version 14.0 and LEAN math.
JOHN GARDNER: Whoops. Okay. I'm having a little difficulty making my automatic control key do what it is supposed to do, here. Okay, I have speaking dictionaries for the LEAN equations. You do not need a speaking dictionary when you are in the editor. The editor is self voicing although it does so flies through the screen reader if you have it if you don't have a screenwriter JAWS voices through window sappy. But, if you have a screenwriter on that sends a message strictly to the screen reader. However if you are trying to read an equation in word, the LEAN editor is not on, you are just reading something and so the screenwriter must have a pronouncing screenwriter for the LEAN symbols. The come bundled with the LEAN application are the dictionaries and format for JAWS, window eyes and NVDA. For some reasons the freedom makes it a little difficult to figure out where to put the speaking dictionary. But if you know how to put in speaking dictionaries into jaws you will be able to find it. Window eyes and NVDA are very easy you just go into the same place, but JAWS has about 10 different places that you put speaking dictionaries. I do have it, but finding where to put it might take a conversation with Jaws support. Back to it.
BETH: That's all I have for questions right now.
JOHN GARDNER: I don't know why but I don't seem to be able to put on my control key and make it work
NORM COOMBS: If you are wanting to lock the thing, John, it should be control L or go to the action menu and move down to where it says lock control key or lock talk key.
JOHN GARDNER: I've been using alt L, and it's been working up until now. But for some reason it does not seem to work.
NORM COOMBS: It's been iffy for me in the past
JOHN GARDNER: alright I don't know what's going on but I will go back to the menu and see if I can do it that way.
SCREENREADER: Document one – Microsoft
JOHN GARDNER: Okay it's telling me that I'm on now, I sure hope that I am. I don't know why the hotkeys stopped working.
SCREENREADER: Blank, blank, blank, blank. X squared plus P, X end fraction C end fraction equals zero.
JOHN GARDNER: What I am doing here is---
SCREENREADER: Blank blank blank X squared plus fraction, X squared the solution
JOHN GARDNER: I don't know where, the example that I did for Betsy, maybe I put it into a different document. Anyway what I want to do now is use the Flickr team to make sure that these things transform to MathType and then transform back. So I'm going to hit Windows D go to the desktop and flip this from view to MathType.
SCREENREADER: Flip to LEAN, flip to MathType application, application clean editors C:/program [inaudible] DC: derivation 1.docs – Microsoft document one the solution to the equation. Embedded object. We will first divide by, embedded object.
JOHN GARDNER: You just heard I ran over the things just a moment ago reading alien equation now they are saying embedded object, they are MathType equations. For the sighted people in the room those two equations I hope you remember a X squared plus BX equals zero the first one was [inaudible] I hope those look nice because though should be standard MathType equations. What I would like to do now is flip them back to LEAN. So let me go back to the desktop.
SCREENREADER: Kane, SS flip to LEAN application C:/LEAN editor C:/program files left in
JOHN GARDNER: It did that fast.
SCREENREADER: LEAN editor EC document one
JOHN GARDNER: The biggest document right now with LEAN is focus. I don't know, focus wants to go back to anything except the coming from, focus from the editor seems to go back but the screenwriter doesn't speak so you have to do some kinky, but from the flip routine, it doesn't go back to all but a few have a lot of documents it might be a little bit painful so here we are and it should.
SCREENREADER: The X squared, the solution to the equation. X squared plus BXC equals zero first divide by and complete the square dot. X squared plus fraction B end fraction X plus fraction C over end fraction equals zero. Blank.
JOHN GARDNER: Okay so what we've done is to write an equation using the LEAN editor, saving it LEAN so that a blind person can read the document. Then I flipped it to math types of that sighted people can read the document, actually sighted people can read the one with the Illini equation, but it's not particularly pretty. When I had the fund made for previous session for namely and triangle and lambda and I learned what I wanted to do was make the symbols as intuitive as possible for a sighted person. So the symbol for for example for superscript is just SUP and the symbols for Sunday's SU B the symbols are a little bit wider than they need to be but there is no mistaking what they are. Most cited people would never have any reason to read a LEAN equation but if you happen to be a teacher, a parent of a blind child or a friend of a blind person who's working with somebody who is doing LEAN it's kind of nice to be able to read the thing visually as well. Okay, let's see, I will tell you what. I will go back off, at least I will try to go back off and see if there are any equations and see if we should ask questions about what we should do next.
BETH: John I am not seeing any questions but somebody might be typing, I will look. Betsy is typing something so give me one second. Betsy's question is when you flip, does the whole document come in, ?
JOHN GARDNER: Flip works on all documents of you flip Tulane will take any math equation and flip Tulane and if you flip to MathType it will take any math editor and flip Tulane. If you've got a mixed bag that is okay you flip, everything will end up as MathType or LEAN. So, but it works on the whole document. The document is very long and sometimes it takes a few seconds to caption into the LEAN editor we've not been able to figure out why it does because the LEAN part of this is very fast the conversion from MathType into LEAN and from LEAN to MathType and from the part of this program that I wrote is extremely fast. But, capturing things from the word and doing things in the MathType, some of those seem to take a very long time and hopefully with learning we will learn how to optimize it and make them faster.
BETH: I don't see any other questions.
JOHN GARDNER: Okay, well what I will do then is just instead of trying to complete this document which I could do, I will show you a few more of the sort of nifty features of LEAN. Let me say right now that anything that can be made in presentation math ML can be created withthe LEAN editor apart from some things that were put into math ML three in order to make things like long division symbols. The sinks, I just decided were not something that any sane person would want to do in LEAN, so I did not put those in but anything else can be done in LEAN in fact I've discovered I've put some things in LEAN that cannot be done in MathType which is a little bit of a disappointment. Like the ability to make tables with linear equations and number them. MathType can do this but it does it in a different way so it does not do it in a math ML way. So anyway I'm going to go on automatic again and show you some nice things. But before I go to automatic I will go back to Beth one more time to see if anything has popped up.
BETH: Go to automatic more math, more math, woo hoo.
JOHN GARDNER: Well, it worked that time. Okay well let's look at some more complicated things let me turn the LEAN editor on.
SCREENREADER: LEAN editor program/program over B, infraction.
JOHN GARDNER: I've just accidentally demonstrated a button.
SCREENREADER: X equal traction
JOHN GARDNER: I thought I went to Publix but to open the editor it shouldn't have anything in it but it does and the reason it does is let me close it again
SCREENREADER: Document 1X squared blank.
JOHN GARDNER: I opened it up and needs another equation of got a blank line but the blank line is still not far enough that it seems to be capturing the equation. We are going to make some improvements in the robustness of the way this works. In fact, let me just tell you very briefly how it goes into word. It is not as nice as one would like it, but we don't know how else to do this. What it is, the LEAN equation goes in using the LEAN math font, so you must install the LEAN afterthought for the LEAN editor to work. You need MathType installed and you need the LEAN math font. And if you don't have both of those installed this just will not work. So a LEAN equation is just a line of text in LEAN font and at the end of the equation there is some hidden tax. The text contains the math ML. So when the editor opens up something and looks for an occurrence of LEAN text and then it finds the hidden text. It is not easy but it's possible to do something to separate the head text from the math ML but what is really easy to continue something so that you are typing text in math ML font. Then this really causes the thing to mess up. So we've recognize this is a bug. This is something we are fixing right now. There are other bugs that we have found that we will be fixing. But, as long as we have to use text, there are going to be certain things that it's possible for a user to do to make LEAN really not work. But what we want to do is to make it so that it's really difficult to do things by accident. If you do something deliberately, if you open up the hidden text and change it, then it won't work, but unless you do deliberate things it should work pretty well. All right, so let me go on.
SCREENREADER: Blank, blank
JOHN GARDNER: See if I can move down several lines
SCREENREADER: Taskbar C: editor
JOHN GARDNER: I was down away from the LEAN text opened up and it was empty. So suppose we have some things in which we need to put more than a single character into the subscript. So, if I type that say X
SCREENREADER: Italic X, superscript
JOHN GARDNER: I type the care urges the superscript indicator. If I have italics
SCREENREADER: X super J dong
JOHN GARDNER: We don't have to have a beginning of superscript if it is a single character. This is a convention and it is a convention sort of borrowed from Logitech, but suppose we have a multiple symbol thing, suppose all right, I will just type in and show you how I did this. Showy
JOHN GARDNER: So Y, and the superscript I want to put IJ in area there is a nifty way to put IJ in there and that is to put it in as a math ML structure. So I will hit control E.
SCREENREADER: Editing
JOHN GARDNER: Editing just means that instead of putting in a character I'm putting in a math ML structure. And we don't really need to get into what the math ML structures are at the present time. Suppose it is IJ.
SCREENREADER: IJ
JOHN GARDNER: Then I hit return.
SCREENREADER: Editing completed.
JOHN GARDNER: Let me go to the beginning
SCREENREADER: X super J plus YI super J.
JOHN GARDNER: I was arrowing over and when I got the IJ it was pronounced together, so they are both in a single math ML token. And in the editor this really means that you can use relatively complicated sub and superscripts and nicely you don't have to have a nice superscript subscript however when you save this in a linear format, you do. So I will just do it. I will save this
SCREENREADER: Taskbar document one – Microsoft blank X
JOHN GARDNER: Okay so let me look at that equation. I saved it. It's going to sound very much like it did except for that I did
SCREENREADER: X superscript J plus Y superscript expression YJ and expression.
JOHN GARDNER: Okay did you hear that so instead of saying Y instead of just saying IJ as it does in editor it has to put in this expression beginning and indicators to show you that I and J are both in the superscript so reading the equation as strings in word is less efficient and somewhat annoying compared to reading it back in the editor. Now if I open this up in the editor, or and that equation, I will open the editor.
SCREENREADER: Editor, C: X super J plus Y super IJ.
JOHN GARDNER: It goes back to the form and the reason it does that is because the math ML is saving it as a token with 10 IJ both in the token. Some editors that are used by side people either do not do that or are difficult to do it, or many sighted people don't really realize how unnecessary it is. And, if you do something like this, you have to put in parentheses or something else and put in a token I and token J. The LEAN editor actually makes very good math ML. And because the reason so much more nicely when you make good math ML, the blind person is likely to actually make better equations than a citing person simply because it's easier to do it right than it is to do wrong, and that's really kind of nice. So that is one of the things one can do. There are lots of other structures by the way. So let me
SCREENREADER: Super I J dong
JOHN GARDNER: I is, a list of integrals.
SCREENREADER: Integral, single integ
JOHN GARDNER: I think that was pretty clear, single integral, no limits I think this is pretty common or you have an integral with remits, and I'm going to, what it does is put the integral structure in and puts me in the place of the first limit. But let me back up so you can hear the full integral structure. I know Betsy will want to hear this.
SCREENREADER: Sub integral plus
JOHN GARDNER: So what I did was put in an integral and the subscript is the lower limit.
SCREENREADER: Insertion symbol lower limit.
JOHN GARDNER: Insertion limits solid lower limit zero, I will backup
SCREENREADER: Sub, zero super
JOHN GARDNER: That we go to the superscript is the upper limit.
SCREENREADER: Insertion symbol
JOHN GARDNER: Suppose we want to put infinity in their F2 pulls down the list of common symbols and infinity is pretty common so let me look there.
SCREENREADER: Common symbols by infinity.
JOHN GARDNER: I hit the letter I and it went right to infinity, so I put it in, and let me go back
SCREENREADER: Integral sub 00 super infinity insertion symbol argument.
JOHN GARDNER: All right and here is the argument so suppose it is XDX.
SCREENREADER: [Inaudible] insertion symbol variable.
JOHN GARDNER: Okay and how the insertion symbol variable you heard the D as I went past it, X preclinical back to the beginning and we will see.
SCREENREADER: Zero super X integral
JOHN GARDNER: Okay it went to the integral
SCREENREADER: Zero super infinity X blank DX don't
JOHN GARDNER: Okay so Doc says what are you doing here, there is no symbol there. You heard it blank, there's so between the X and DX there was a blank. I copied the structure from math ML so it displays really beautifully. And that space is actually a fence space, but I didn't really see any reason to clutter the water was having fence space. There are half a dozen space variables may all just space-based, they all, as part of structures, so we have a structure that has certain types of spaces in it to make it display properly. But it makes sense to me to have integral 02X, zero to infinity X and space the X print it just sounds right. So there's an example. We also have derivative structures I tell you what, let me save this and open up another one to do derivative structure.
SCREENREADER: Taskbar, document one – X ² A+ Y superscript expression plus integral subscript zero superscript infinity X double italic small DX.
JOHN GARDNER: You noticed that it said something a little bit different. It said something like a airspace or thin space, when I came across the space, and it said double strap italic D because the D is in fact a differential D. It all goes in the structure and I believe
BETH: John, I could and if I was wondering if you could backspace and clear up the text because you've gone off the screen and so we cannot see the thing you are putting into the word document.
[No audio available]
BETH: John, did you hear me I'm wondering if you could backspace on the word document because your text has gone off the screen, so we cannot hear it.
[No audio available]
JOHN GARDNER: So, Beth, I don't know if you heard that, I maximized the document because I'm not quite sure what you're asking me to do. Did maximizing it helped the problem?
BETH: No, all I can see is we will first divide by a and complete the square, then you have a whole equation, then you did a bunch of spaces, then you started a new equation and I cannot see the new equation or anything underneath that.
[No audio available]
JOHN GARDNER: Is this making it any better according to me I'm at the left margin of the page so I don't know what's going on.
BETH: You've got below the screen that we can see and the screen has not gone down in the desktop sharing for us to see which often happens with screen readers. Maybe if you just opened up a new document and started right at the top.
JOHN GARDNER: I understand. It is the screen reader. It doesn't actually scroll the screen. Okay I will do what you said.
NORM COOMBS: And we are also five after the hour, so don't take too much more time.
JOHN GARDNER: Okay so, Beth I opened up a new document and I have it on screen so you should be able to see this now. But, as Norm says, we are late so we probably ought to quit, so maybe we should, I'm happy to stay around if there are more questions. So, fire away.
BETH: Yeah I can see it now. Betsy says thank you very much and congratulations.
JOHN GARDNER: Thank you. Betsy is on the beta tester list if anybody else wants to be on the beta tester list they should write me and I will tell you what, I will write down a couple of data on here for people. So, hang on.
NORM COOMBS: Beth if you will capture that for me I will put it up on the webpage.
BETH: I will.
NORM COOMBS: While John is doing that we have two webinars next month, one by Rod Stewart, talking about problems and accessibility of academic publishing. And another one with June instructor Burke from book share. There is a new international treaty gone through that's pushing for accessibility of print materials in most of the countries of the world. And this really sounds exciting. So, they will be near the end of August. I think the 20th and the 29th. But you can find them on the promotions page and I will send out e-mails.
SCREENREADER: Link.class.COM [inaudible]
JOHN GARDNER: Sorry that was my e-mail address John.Gardner@viewplus.com. And the URL for the company is of course World Wide Web.view plus.com. View plus.com, that is spelled VIE W plus.com I am happy to answer any more questions, let's see.
BETH: I don't see any more questions. I did type your information in the text box and I will send it to dad in a separate e-mail even though I know he has it.
JOHN GARDNER: Okay, well, thanks, glad things worked a little bit better this time I'm sorry we couldn't do things right the first time.
BETH: And thank you. I think it was wonderful and I'm mathematically challenged. For you to have kept me entertained, that says a lot.
NORM COOMBS: Mathematically challenged and ADHD, too. John, you keep yourself busy. You know, I thought when you put out the embosser that it was a lifetime's work, and here you are off doing a whole other thing. So it's clear to me you don't tend to retire anytime soon. So I want to thank everybody for coming and the desktop will not show in the recording, but we will have the transcription and the audio, and they should be up Thursday night or Friday I will send out a notice about it. So, thank you everyone and check hard to August webinars bullfight accessible publications and soon I should have a schedule of things for September up. Thank you very much. And have a good rest of the summer.
BETH: Wait, I forgot, John, Gradimir says that his native languages Serbian and he's from Bosnia and Herzegovina I'm sorry I probably said that Patty and he wants to know if LEAN math can be translated to other English, other languages.
JOHN GARDNER: I spent a lot of time making sure it is localizable. It is a fair amount of work to localize it, there are hundreds of phrases but it is very localizable. One just has to translate a lot of phrases, put it in, and then set the preferences to that language and it works in that language. Probably the hardest work is to get all of the Unicode symbols and there are several thousand of them need to be translated. There are probably only two or 300 of the Unicode symbols that are used routinely. But if you want to have them all, that is a lot of work. But this is definitely localizable. I think just about everything now is done is localizable form. So, yes, the answer is.
NORM COOMBS: And I want to thank (Scheiber), our friend from India for sticking with us and hopefully we will see you again.
NORM COOMBS: Thank you all for all your patience. Desktop sharing is still in beta, so we run into problems and I know a couple people ran into problems, so we are sorry.
JOHN GARDNER: Well it worked okay this time you really have to hold your mouse right, to make the desktop sharing work and now that we have, we know the way to do it, it is earmarked. It worked.
NORM COOMBS: Again, John, thank you very much. I look forward to seeing you in a conference sometime this fall.
JOHN GARDNER: Okay, thank you much. By the way I was having a lot of trouble with the alt L it seems to work sometimes and not others. So, if you have a support log or technical something or other for this, you might ask whether there is something that can be done to make that a little bit more robust. That was about the only problem that I had today.
NORM COOMBS: I've never reported that but I had the same problem so that's good. I should report it.
JOHN GARDNER: Goodbye, all, over and out, thanks.