[BlindMath] Superscripts, Subscripts, and Summation Sign Combinations in Nemeth Code

Thu Apr 19 16:51:34 UTC 2018

Hi, Nicholas. I can't find a special rule for fractional exponents with second-order superscripts, so here is my interpretation of Rule XIII (superscripts and subscripts) as applied to your example:
e, dots 4 5 (to initiate superscript level), begin fraction, x, dots 4 5 dots 4 5 (to initiate superscript-of-a-superscript level), 2, dots 4 5 (to return to superscript level), fraction line, 2, end fraction, plus, begin fraction, y, dots 4 5 dots 4 5 (to initiate superscript-of-a-superscript level), 3, dots 4 5 (to return to superscript level), fraction line, 3, end fraction. If there's a space after the expression, you're done; otherwise throw in a dot 5 at the end  to return to baseline.

Sarah
-----Original Message-----
From: BlindMath [mailto:blindmath-bounces at nfbnet.org] On Behalf Of Nicholas J via BlindMath
Sent: Thursday, April 19, 2018 6:07 AM
To: Blind Math list for those interested in mathematics <blindmath at nfbnet.org>
Cc: Nicholas J <314nick15 at gmail.com>
Subject: Re: [BlindMath] Superscripts, Subscripts, and Summation Sign Combinations in Nemeth Code

Hello,

Thank you for the help Sarah. That was very helpful.

Another aspect of nemeth code that I am having trouble with is fractions in exponents with exponents in the fraction (like e exponent x squared divided by two plus y cubed divided by three). Is there a rule that makes this case different from regular exponents and fractions? If so, what does it say?

Thank you,
Nicholas

> On Apr 18, 2018, at 10:23 PM, Sarah Rebecca Cohen via BlindMath <blindmath at nfbnet.org> wrote:
> 
> Hi, Nicholas.
> 
> According to the Nemeth Code, Rule XIV, section 98, you would braille x hat and theta hat as modified expressions. The Nemeth code for hat (caret) is the two-cell symbol (dots 4 5 6, dots 1 2 6). So x hat is:
> 1. Dot 5 ("I'm going to modify the next expression") 2. x or theta 
> (expression being modified) 3. Dots 1 2 6 (directly-over indicator) 4. 
> Dots 4 5 6, dots 1 2 6 (hat) 5. Dots 1 2 4 5 6 (termination indicator)
> 
> I hope this helps!
> 
> Sarah
> 
> -----Original Message-----
> From: BlindMath [mailto:blindmath-bounces at nfbnet.org] On Behalf Of 
> Nicholas J via BlindMath
> Sent: Wednesday, April 18, 2018 7:13 PM
> To: Blind Math list for those interested in mathematics 
> <blindmath at nfbnet.org>
> Cc: Nicholas J <314nick15 at gmail.com>
> Subject: Re: [BlindMath] Superscripts, Subscripts, and Summation Sign 
> Combinations in Nemeth Code
> 
> Hello,
> 
> I am trying to figure out how to write x hat or theta hat in nemeth code. Basically I am trying to put a hat over a variable to signify that it is an estimate. I have been looking everywhere, but can’t find it. How can it be done in nemeth code?
> 
> Thank you,
> Nicholas
> 
>> On Mar 20, 2018, at 3:09 PM, Sarah Rebecca Cohen via BlindMath <blindmath at nfbnet.org> wrote:
>> 
>> Hi, Nicholas.
>> 
>> Rule XIII of the Nemeth Code has the answers you need.
>> 
>> "Superscript with Subscript": dots 45 followed by dots 56. I prefer to think of this level as "subscript of a superscript" (or "superscript's subscript").
>> "Subscript with Superscript": dots 56 followed by dots 45. I prefer to think of this level as "superscript of a subscript" (or "subscript's superscript").
>> 
>> To return to subscript or superscript level, respectively, use dots 56 or dots 45. A dot 5 or a space returns you to baseline level.
>> 
>> One wrinkle that comes into play in your second example: A space after a comparison symbol (such as an equals sign) preserves the level already in effect. 
>> 
>> So, here are your three examples, if I'm reading the rules correctly:
>> 
>> 1) "m sub x squared with x squared being in the subscript.":
>> m, dots 56 for subscript indicator, x, dots 56 followed by dots 45 for superscript of a subscript, 2. For this and the other examples, if there is a space after the expression, you automatically return to baseline, otherwise use dot 5 to do so.
>> 2) "e exponent the sum from i equals one to n of x sub i". This one looks gnarly to me, but here it goes:
>> e, dots 45 for superscript, dots 46 followed by dot 6 followed by dots 234 for capital sigma, dots 45 followed by dots 56 for subscript of superscript, i, space, dots 45 followed by dots 56 to return to subscript of a superscript level, equals, space, 1, dots 45 followed by dots 45 for superscript of a superscript, n, dot 5, x, dots 56 for subscript, i. Phew!
>> 3) "e exponent x sub one end sub plus x sub 2 end sub and so on all in the exponent" Ignoring the "and so on" for now:
>> e, dots 45 for superscript, x, dots 45 followed by dots 56 for subscript of superscript, 1, dots 45 to return to superscript level, plus x, dots 45 followed by dots 56 for subscript of superscript, 2.
>> 
>> I hope this helps!
>> 
>> Sarah
>> 
>> -----Original Message-----
>> From: BlindMath [mailto:blindmath-bounces at nfbnet.org] On Behalf Of 
>> Nicholas J via BlindMath
>> Sent: Tuesday, March 20, 2018 10:50 AM
>> To: blindmath at nfbnet.org
>> Cc: Nicholas J <314nick15 at gmail.com>
>> Subject: [BlindMath] Superscripts, Subscripts, and Summation Sign 
>> Combinations in Nemeth Code
>> 
>> Hello,
>> 
>> I have been starting to use nemeth code more now and it has been a great help. The only thing I have run into that I have had a hard time figuring out is putting superscripts in subscripted material, putting subscripts in superscripted material, and putting summations in superscripted material. For example, I have tried to do something like M sub X squared with x squared being in the subscript. I use dots 134 for M, dots 56 for starting the subscript, dots 1346 for X, dots 45 for the start of the subscript, dots 23 for 2, and dot 5 to go to the baseline. I get the squared term on the M. An example for superscripts is when I have e exponent the sum from i equals one to n of x sub i. I put e, dots 15, exponent, dots 45, the usual summation order of dots, dot 5 dots 46 dot 6 dots 234 dots 146 dots 24 braille space dots 46 dots 13 braille space dot 2 dots 126 dots 1345 and dots 12456, dots 1346 for X, dots 56 for subscript, dots 24 for i, and then dot 5. I get different errors about parentheses or superscripts and subscripts not being closed. My last example is e exponent X sub one end sub plus X sub 2 end sub and so on all in the exponent. I have tried the usual things for superscripts and subscripts, but get similar answers to the errors in the previous example. Are these things I am trying to do possible to do in nemeth code? If so, how would they be done?
>> 
>> Thank you,
>> Nicholas
>> 
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