Re: I don't understand this

2023-06-12 Thread Herbert Voss



Am 13.06.23 um 01:30 schrieb Richard Kimberly Heck:

On 6/12/23 16:08, Herbert Voss wrote:



Am 12.06.23 um 21:49 schrieb Udicoudco:
On Mon, Jun 12, 2023 at 8:32 PM Herbert Voss 
 wrote:
No, because unicode-math loads amsmath by default which defines 
\mathbb
\mathbb isn't defined in amsmath, but in amsfonts, which should not 
be used

with unicode-math (and as a consequence, neither amssymb should be used
with unicode-math).



sure ...
If you _only_ load unicode-math the \mathbb is defined.


So, Herbert, let me ask: Is there anything we can really do here to 
help the user? Or is this just how things are? I've gotten used to it, 
but it is a bit annoying.


From TeX's view you can use any command for a special character.
If that character is part of LyX's  currently defined display font _and_
defined in the current TeX font are two other questions. And, from
my point of view, totally user specific ...

Herbert
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Re: I don't understand this

2023-06-12 Thread Richard Kimberly Heck

On 6/12/23 16:08, Herbert Voss wrote:



Am 12.06.23 um 21:49 schrieb Udicoudco:
On Mon, Jun 12, 2023 at 8:32 PM Herbert Voss 
 wrote:

No, because unicode-math loads amsmath by default which defines \mathbb
\mathbb isn't defined in amsmath, but in amsfonts, which should not 
be used

with unicode-math (and as a consequence, neither amssymb should be used
with unicode-math).



sure ...
If you _only_ load unicode-math the \mathbb is defined.


So, Herbert, let me ask: Is there anything we can really do here to help 
the user? Or is this just how things are? I've gotten used to it, but it 
is a bit annoying.


Riki


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Re: I don't understand this

2023-06-12 Thread Herbert Voss



Am 12.06.23 um 21:49 schrieb Udicoudco:

On Mon, Jun 12, 2023 at 8:32 PM Herbert Voss  wrote:

No, because unicode-math loads amsmath by default which defines \mathbb

\mathbb isn't defined in amsmath, but in amsfonts, which should not be used
with unicode-math (and as a consequence, neither amssymb should be used
with unicode-math).



sure ...
If you _only_ load unicode-math the \mathbb is defined.

Herbert


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Re: I don't understand this

2023-06-12 Thread Udicoudco
On Mon, Jun 12, 2023 at 8:32 PM Herbert Voss  wrote:
> No, because unicode-math loads amsmath by default which defines \mathbb

\mathbb isn't defined in amsmath, but in amsfonts, which should not be used
with unicode-math (and as a consequence, neither amssymb should be used
with unicode-math).
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Re: I don't understand this

2023-06-12 Thread Herbert Voss



Am 12.06.23 um 18:46 schrieb Richard Kimberly Heck:

On 6/12/23 07:59, Herbert Voss wrote:




With unicode-math, "$\mathbb{0}$" should be rendered as "ퟘ" (U+1D7D8),



with unicode-math it should be $\Bbbzero$


Sounds like a bug, then.


No, because unicode-math loads amsmath by default which defines \mathbb
With \Bbbzero you can only be _really_ sure, that it will be taken from the
current math font.

Herbert
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Re: I don't understand this

2023-06-12 Thread Richard Kimberly Heck

On 6/12/23 07:59, Herbert Voss wrote:



Am 12.06.23 um 13:47 schrieb Scott Kostyshak:

On Mon, Jun 12, 2023 at 02:28:50PM +0300, Udicoudco wrote:
On Mon, Jun 12, 2023 at 11:04 AM Scott Kostyshak  
wrote:

On 2023-06-10 21:49, Richard Kimberly Heck wrote:
It's because the 'blackboard' font is quite limited (to ASCII 
caps, I
think). If you type characters not present in that font, you get 
weird

results.


With modern math fonts (open type) the range of 'blackboard'
characters is wider,
and it includes small latin letters, and arabic numerals as well.

In this case, LyX creates the corresponding LaTeX code 
"$\mathbb{0}$", which is valid LaTeX. It is true that the output is 
counter-intuitive. I'm not convinced we should do anything here.

With unicode-math, "$\mathbb{0}$" should be rendered as "ퟘ" (U+1D7D8),



with unicode-math it should be $\Bbbzero$


Sounds like a bug, then.

Riki


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Re: I don't understand this

2023-06-12 Thread Herbert Voss



Am 12.06.23 um 13:47 schrieb Scott Kostyshak:

On Mon, Jun 12, 2023 at 02:28:50PM +0300, Udicoudco wrote:

On Mon, Jun 12, 2023 at 11:04 AM Scott Kostyshak  wrote:

On 2023-06-10 21:49, Richard Kimberly Heck wrote:

It's because the 'blackboard' font is quite limited (to ASCII caps, I
think). If you type characters not present in that font, you get weird
results.


With modern math fonts (open type) the range of 'blackboard'
characters is wider,
and it includes small latin letters, and arabic numerals as well.


In this case, LyX creates the corresponding LaTeX code "$\mathbb{0}$", which is 
valid LaTeX. It is true that the output is counter-intuitive. I'm not convinced we should 
do anything here.

With unicode-math, "$\mathbb{0}$" should be rendered as "ퟘ" (U+1D7D8),



with unicode-math it should be $\Bbbzero$

Herbert


but it seems that  LyX is not aware of that. Attached is an example.
Should I open
a ticket? I don't currently have access to my Linux machine, and can't
test it with master.

Interesting, that's good to know. I don't have Times New Roman on my system so 
I can't test.

Scott



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Re: I don't understand this

2023-06-12 Thread Scott Kostyshak
On Mon, Jun 12, 2023 at 02:28:50PM +0300, Udicoudco wrote:
> On Mon, Jun 12, 2023 at 11:04 AM Scott Kostyshak  wrote:
> > >
> > > On 2023-06-10 21:49, Richard Kimberly Heck wrote:
> 
> > > >
> > > > It's because the 'blackboard' font is quite limited (to ASCII caps, I
> > > > think). If you type characters not present in that font, you get weird
> > > > results.
> > > >
> 
> With modern math fonts (open type) the range of 'blackboard'
> characters is wider,
> and it includes small latin letters, and arabic numerals as well.
> 
> > In this case, LyX creates the corresponding LaTeX code "$\mathbb{0}$", 
> > which is valid LaTeX. It is true that the output is counter-intuitive. I'm 
> > not convinced we should do anything here.
> 
> With unicode-math, "$\mathbb{0}$" should be rendered as "ퟘ" (U+1D7D8),
> but it seems that  LyX is not aware of that. Attached is an example.
> Should I open
> a ticket? I don't currently have access to my Linux machine, and can't
> test it with master.

Interesting, that's good to know. I don't have Times New Roman on my system so 
I can't test.

Scott


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Re: I don't understand this

2023-06-12 Thread Ricardo Berlasso
El lun, 12 jun 2023 a las 13:29, Udicoudco () escribió:

> On Mon, Jun 12, 2023 at 11:04 AM Scott Kostyshak  wrote:
> > >
> > > On 2023-06-10 21:49, Richard Kimberly Heck wrote:
>
> > > >
> > > > It's because the 'blackboard' font is quite limited (to ASCII caps, I
> > > > think). If you type characters not present in that font, you get
> weird
> > > > results.
> > > >
>
> With modern math fonts (open type) the range of 'blackboard'
> characters is wider,
> and it includes small latin letters, and arabic numerals as well.
>
> > In this case, LyX creates the corresponding LaTeX code "$\mathbb{0}$",
> which is valid LaTeX. It is true that the output is counter-intuitive. I'm
> not convinced we should do anything here.
>
> With unicode-math, "$\mathbb{0}$" should be rendered as "ퟘ" (U+1D7D8),
>

In PDF output, it does, but on LyX's UI it shows (I think) U+22ac: ⊬

LyX 2.4 dev build on openSUSE Leap 15.4 with Libertinus Serif as UI font.

Regards,
Ricardo



> but it seems that  LyX is not aware of that. Attached is an example.
> Should I open
> a ticket? I don't currently have access to my Linux machine, and can't
> test it with master.
>
> Regards,
> Udi
>
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Re: I don't understand this

2023-06-12 Thread Udicoudco
On Mon, Jun 12, 2023 at 11:04 AM Scott Kostyshak  wrote:
> >
> > On 2023-06-10 21:49, Richard Kimberly Heck wrote:

> > >
> > > It's because the 'blackboard' font is quite limited (to ASCII caps, I
> > > think). If you type characters not present in that font, you get weird
> > > results.
> > >

With modern math fonts (open type) the range of 'blackboard'
characters is wider,
and it includes small latin letters, and arabic numerals as well.

> In this case, LyX creates the corresponding LaTeX code "$\mathbb{0}$", which 
> is valid LaTeX. It is true that the output is counter-intuitive. I'm not 
> convinced we should do anything here.

With unicode-math, "$\mathbb{0}$" should be rendered as "ퟘ" (U+1D7D8),
but it seems that  LyX is not aware of that. Attached is an example.
Should I open
a ticket? I don't currently have access to my Linux machine, and can't
test it with master.

Regards,
Udi

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Re: I don't understand this

2023-06-12 Thread Scott Kostyshak
On Mon, Jun 12, 2023 at 07:28:18AM +0200, Daniel wrote:
> 
> On 2023-06-10 21:49, Richard Kimberly Heck wrote:
> > On 6/10/23 02:17, Daniel wrote:
> > > On 2023-06-10 05:54, Tom Goldring wrote:
> > > > If I put in the [\mathbb] "R" followed by _\aleph_0, the R and
> > > > the aleph show up correctly, but the zero (the subscript of the
> > > > aleph) shows up as a different character (I think it's the
> > > > character that's used in formal logic to mean something like "is
> > > > not a proof of").
> > > 
> > > I do not know why it is showing different symbols.
> > 
> > It's because the 'blackboard' font is quite limited (to ASCII caps, I
> > think). If you type characters not present in that font, you get weird
> > results.
> > 
> > Riki
> 
> I see. Would be better to get an undefined symbol, e.g. questions marks,
> rather than weird symbols. But I guess there is some technical reason for
> this.
> 
> Daniel

In this case, LyX creates the corresponding LaTeX code "$\mathbb{0}$", which is 
valid LaTeX. It is true that the output is counter-intuitive. I'm not convinced 
we should do anything here.

We could try to do something to make it more clear that we're still in the 
\mathbb inset, if the red corners aren't clear enough. I've been bitten by 
these types of issues also. But I have no concrete suggestion.

We could provide a module called something like "Error on likely mistakes". I'm 
guessing it would be easy to write LaTeX that gives an error if not certain 
characters are used inside \mathbb. But the user would have to first manually 
add that module, and I'm not sure the most people who would benefit from that 
module would be the ones to add it.

Scott


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Re: I don't understand this

2023-06-11 Thread Daniel

On 2023-06-10 21:49, Richard Kimberly Heck wrote:

On 6/10/23 02:17, Daniel wrote:

On 2023-06-10 05:54, Tom Goldring wrote:
If I put in the [\mathbb] "R" followed by _\aleph_0, the R and the 
aleph show up correctly, but the zero (the subscript of the aleph) 
shows up as a different character (I think it's the character that's 
used in formal logic to mean something like "is not a proof of").


I do not know why it is showing different symbols. 


It's because the 'blackboard' font is quite limited (to ASCII caps, I 
think). If you type characters not present in that font, you get weird 
results.


Riki


I see. Would be better to get an undefined symbol, e.g. questions marks, 
rather than weird symbols. But I guess there is some technical reason 
for this.


Daniel

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Re: I don't understand this

2023-06-10 Thread Richard Kimberly Heck

On 6/10/23 02:17, Daniel wrote:

On 2023-06-10 05:54, Tom Goldring wrote:
If I put in the [\mathbb] "R" followed by _\aleph_0, the R and the 
aleph show up correctly, but the zero (the subscript of the aleph) 
shows up as a different character (I think it's the character that's 
used in formal logic to mean something like "is not a proof of").


I do not know why it is showing different symbols. 


It's because the 'blackboard' font is quite limited (to ASCII caps, I 
think). If you type characters not present in that font, you get weird 
results.


Riki


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Re: I don't understand this

2023-06-10 Thread Daniel

On 2023-06-10 05:54, Tom Goldring wrote:
To get the symbol "aleph null" typically used to denote the cardinality 
of the set of natural numbers, I can simply type the eight keystrokes 
\aleph_0 and it will show up in LyX correctly.


Now suppose I want the set whose members are all countable subsets of 
the real numbers. This is typically denoted as R_\aleph_0 (where by "R" 
I don't mean the ordinary letter capital R, I mean the symbol 
$\mathbb{R}$ that is used to denote the set of real numbers, which I can 
get in math mode from the "del" (inverted triangle) menu. In other 
words, it's "R" with subscript "aleph null".


Here's the part I don't understand. If I put in the "R" followed by 
_\aleph_0, the R and the aleph show up correctly, but the zero (the 
subscript of the aleph) shows up as a different character (I think it's 
the character that's used in formal logic to mean something like "is not 
a proof of").


Could someone please explain to me what is going on here? I can't make 
any sense out of it.


I do not know why it is showing different symbols. But the solution is 
to enter the \aleph_0 *outside* of the \mathbb. This is not LyX specific 
but the case in LaTeX in general. Do do so in LyX you need to first step 
out of the \mathbb inset (indicated by two pink corners). For example:


1. Write your R so that it shows as desired as symbol for the real 
numbers (you are now inside the \mathbb inset)

2. Press the right arrow key (to move out of the \mathbb inset)
3. Type \aleph_0

I hope this helps!

Daniel


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Re: I don't understand the environments in the AMS Math book class

2007-06-02 Thread Richard Kleeman


Steve,
I share your cynicism about Math education (and I am a Math professor!).
Personally I think it is a very understudied area as it is hard enough 
getting competent High School Math teachers let alone taking a more 
creative and productive approach. Good luck with your book.
I use a matrix to do the multi line equations as it looks after the 
alignment. The therefore (and because) symbol can be found in the ams 
relations section of the math panel.


Richard Kleeman



Steve Litt wrote:

Hi all,

I'm going to write an introductory algebra book to make algebra easy for 
people with mental blocks. This will NOT be a traditional textbook. In my 
personal opinion, the purpose of traditional textbooks is to make the subject 
seem so complex as to require an expensive class with an instructor (yes, I 
am somewhat cynical). I'm going to distill algebra down to its simplest 
components.


Following the suggestions of many of you, I'll be using the AMS Math Book 
document class. This document class has numerous environments whose names are 
taken from math:


Right address  theorum   corollary
lemma  proposition   conjecture
criterion  algorithm fact 
axiom  definitionexample

condition  problem   exercise
remark claim note
notation   summary   acknowledgement
case   conclusionproof
subjectclass

I looked up a lot of them on dictionary.com, and doubt I'll be using too many 
things like lemmas, corrolaries, and the like. 

I bet a lot of you have written math books. Which of these do you use most 
often? In math, what do the following mean?


case
condition
claim
notation
subjectclass

I use the therefore symbol (Three dots with two on the bottom and one on 
top) a lot. How do I do that in LyX or LaTeX?


How do I do something like this:

4x + 2x + 5x + 3 +4 = 6x + 5x + 3 + 4
= 6x + 5x + 7
= 11x + 7

In other words, the equal signs are vertically aligned. How do I do that?

How do I find out more about the mechanics of writing a math book?

Thanks

SteveT

Steve Litt
Author: Universal Troubleshooting Process books and courseware
http://www.troubleshooters.com/





Re: I don't understand the environments in the AMS Math book class

2007-06-02 Thread Richard Heck

Steve Litt wrote:

Hi all,

I'm going to write an introductory algebra book to make algebra easy for 
people with mental blocks. This will NOT be a traditional textbook. In my 
personal opinion, the purpose of traditional textbooks is to make the subject 
seem so complex as to require an expensive class with an instructor (yes, I 
am somewhat cynical). I'm going to distill algebra down to its simplest 
components.


Following the suggestions of many of you, I'll be using the AMS Math Book 
document class. This document class has numerous environments whose names are 
taken from math:


Right address  theorum   corollary
lemma  proposition   conjecture
criterion  algorithm fact 
axiom  definitionexample

condition  problem   exercise
remark claim note
notation   summary   acknowledgement
case   conclusionproof
subjectclass

I looked up a lot of them on dictionary.com, and doubt I'll be using too many 
things like lemmas, corrolaries, and the like.
Of course, you can remove these, or any that you know you won't be 
using. Most of them are in amsmaths.inc.
I bet a lot of you have written math books. Which of these do you use most 
often? In math, what do the following mean?


case
  
If you're doing a proof that has multiple cases. Maybe, say, for convex 
or concave figures.

condition
  

I've not used that.

claim
  
In the course of giving a proof, one often says something like: I now 
claim that p. Proof: Blah blah.

notation
  
Similar to definition, but specifically for introducing notation. Not 
likely you'll need this.

subjectclass
  

I believe this is for AMS article indexing. You shouldn't need that, either.
I use the therefore symbol (Three dots with two on the bottom and one on 
top) a lot. How do I do that in LyX or LaTeX?
  
/therefore, which needs the amssymb package, but you'll already have 
that if you're using amsbook.cls. Get this: 
http://www.ctan.org/tex-archive/info/symbols/comprehensive/.

How do I do something like this:

4x + 2x + 5x + 3 +4 = 6x + 5x + 3 + 4
= 6x + 5x + 7
= 11x + 7

In other words, the equal signs are vertically aligned. How do I do that?
  

Use the align environment. It's basically an array with two columns.

How do I find out more about the mechanics of writing a math book?
  

http://www.ctan.org/tex-archive/info/math/voss/mathmode/

Richard

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Brown University
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Re: I don't understand the environments in the AMS Math book class

2007-06-02 Thread Richard Kleeman


Steve,
I share your cynicism about Math education (and I am a Math professor!).
Personally I think it is a very understudied area as it is hard enough 
getting competent High School Math teachers let alone taking a more 
creative and productive approach. Good luck with your book.
I use a matrix to do the multi line equations as it looks after the 
alignment. The therefore (and because) symbol can be found in the ams 
relations section of the math panel.


Richard Kleeman



Steve Litt wrote:

Hi all,

I'm going to write an introductory algebra book to make algebra easy for 
people with mental blocks. This will NOT be a traditional textbook. In my 
personal opinion, the purpose of traditional textbooks is to make the subject 
seem so complex as to require an expensive class with an instructor (yes, I 
am somewhat cynical). I'm going to distill algebra down to its simplest 
components.


Following the suggestions of many of you, I'll be using the AMS Math Book 
document class. This document class has numerous environments whose names are 
taken from math:


Right address  theorum   corollary
lemma  proposition   conjecture
criterion  algorithm fact 
axiom  definitionexample

condition  problem   exercise
remark claim note
notation   summary   acknowledgement
case   conclusionproof
subjectclass

I looked up a lot of them on dictionary.com, and doubt I'll be using too many 
things like lemmas, corrolaries, and the like. 

I bet a lot of you have written math books. Which of these do you use most 
often? In math, what do the following mean?


case
condition
claim
notation
subjectclass

I use the therefore symbol (Three dots with two on the bottom and one on 
top) a lot. How do I do that in LyX or LaTeX?


How do I do something like this:

4x + 2x + 5x + 3 +4 = 6x + 5x + 3 + 4
= 6x + 5x + 7
= 11x + 7

In other words, the equal signs are vertically aligned. How do I do that?

How do I find out more about the mechanics of writing a math book?

Thanks

SteveT

Steve Litt
Author: Universal Troubleshooting Process books and courseware
http://www.troubleshooters.com/





Re: I don't understand the environments in the AMS Math book class

2007-06-02 Thread Richard Heck

Steve Litt wrote:

Hi all,

I'm going to write an introductory algebra book to make algebra easy for 
people with mental blocks. This will NOT be a traditional textbook. In my 
personal opinion, the purpose of traditional textbooks is to make the subject 
seem so complex as to require an expensive class with an instructor (yes, I 
am somewhat cynical). I'm going to distill algebra down to its simplest 
components.


Following the suggestions of many of you, I'll be using the AMS Math Book 
document class. This document class has numerous environments whose names are 
taken from math:


Right address  theorum   corollary
lemma  proposition   conjecture
criterion  algorithm fact 
axiom  definitionexample

condition  problem   exercise
remark claim note
notation   summary   acknowledgement
case   conclusionproof
subjectclass

I looked up a lot of them on dictionary.com, and doubt I'll be using too many 
things like lemmas, corrolaries, and the like.
Of course, you can remove these, or any that you know you won't be 
using. Most of them are in amsmaths.inc.
I bet a lot of you have written math books. Which of these do you use most 
often? In math, what do the following mean?


case
  
If you're doing a proof that has multiple cases. Maybe, say, for convex 
or concave figures.

condition
  

I've not used that.

claim
  
In the course of giving a proof, one often says something like: I now 
claim that p. Proof: Blah blah.

notation
  
Similar to definition, but specifically for introducing notation. Not 
likely you'll need this.

subjectclass
  

I believe this is for AMS article indexing. You shouldn't need that, either.
I use the therefore symbol (Three dots with two on the bottom and one on 
top) a lot. How do I do that in LyX or LaTeX?
  
/therefore, which needs the amssymb package, but you'll already have 
that if you're using amsbook.cls. Get this: 
http://www.ctan.org/tex-archive/info/symbols/comprehensive/.

How do I do something like this:

4x + 2x + 5x + 3 +4 = 6x + 5x + 3 + 4
= 6x + 5x + 7
= 11x + 7

In other words, the equal signs are vertically aligned. How do I do that?
  

Use the align environment. It's basically an array with two columns.

How do I find out more about the mechanics of writing a math book?
  

http://www.ctan.org/tex-archive/info/math/voss/mathmode/

Richard

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==
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Professor of Philosophy
Brown University
http://frege.brown.edu/heck/
==
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Re: I don't understand the environments in the AMS Math book class

2007-06-02 Thread Richard Kleeman


Steve,
I share your cynicism about Math education (and I am a Math professor!).
Personally I think it is a very understudied area as it is hard enough 
getting competent High School Math teachers let alone taking a more 
creative and productive approach. Good luck with your book.
I use a matrix to do the multi line equations as it looks after the 
alignment. The therefore (and because) symbol can be found in the ams 
relations section of the math panel.


Richard Kleeman



Steve Litt wrote:

Hi all,

I'm going to write an introductory algebra book to make algebra easy for 
people with mental blocks. This will NOT be a traditional textbook. In my 
personal opinion, the purpose of traditional textbooks is to make the subject 
seem so complex as to require an expensive class with an instructor (yes, I 
am somewhat cynical). I'm going to distill algebra down to its simplest 
components.


Following the suggestions of many of you, I'll be using the AMS Math Book 
document class. This document class has numerous environments whose names are 
taken from math:


Right address  theorum   corollary
lemma  proposition   conjecture
criterion  algorithm fact 
axiom  definitionexample

condition  problem   exercise
remark claim note
notation   summary   acknowledgement
case   conclusionproof
subjectclass

I looked up a lot of them on dictionary.com, and doubt I'll be using too many 
things like lemmas, corrolaries, and the like. 

I bet a lot of you have written math books. Which of these do you use most 
often? In math, what do the following mean?


case
condition
claim
notation
subjectclass

I use the "therefore symbol" (Three dots with two on the bottom and one on 
top) a lot. How do I do that in LyX or LaTeX?


How do I do something like this:

4x + 2x + 5x + 3 +4 = 6x + 5x + 3 + 4
= 6x + 5x + 7
= 11x + 7

In other words, the equal signs are vertically aligned. How do I do that?

How do I find out more about the mechanics of writing a math book?

Thanks

SteveT

Steve Litt
Author: Universal Troubleshooting Process books and courseware
http://www.troubleshooters.com/





Re: I don't understand the environments in the AMS Math book class

2007-06-02 Thread Richard Heck

Steve Litt wrote:

Hi all,

I'm going to write an introductory algebra book to make algebra easy for 
people with mental blocks. This will NOT be a traditional textbook. In my 
personal opinion, the purpose of traditional textbooks is to make the subject 
seem so complex as to require an expensive class with an instructor (yes, I 
am somewhat cynical). I'm going to distill algebra down to its simplest 
components.


Following the suggestions of many of you, I'll be using the AMS Math Book 
document class. This document class has numerous environments whose names are 
taken from math:


Right address  theorum   corollary
lemma  proposition   conjecture
criterion  algorithm fact 
axiom  definitionexample

condition  problem   exercise
remark claim note
notation   summary   acknowledgement
case   conclusionproof
subjectclass

I looked up a lot of them on dictionary.com, and doubt I'll be using too many 
things like lemmas, corrolaries, and the like.
Of course, you can remove these, or any that you know you won't be 
using. Most of them are in amsmaths.inc.
I bet a lot of you have written math books. Which of these do you use most 
often? In math, what do the following mean?


case
  
If you're doing a proof that has multiple cases. Maybe, say, for convex 
or concave figures.

condition
  

I've not used that.

claim
  
In the course of giving a proof, one often says something like: I now 
claim that p. Proof: Blah blah.

notation
  
Similar to definition, but specifically for introducing notation. Not 
likely you'll need this.

subjectclass
  

I believe this is for AMS article indexing. You shouldn't need that, either.
I use the "therefore symbol" (Three dots with two on the bottom and one on 
top) a lot. How do I do that in LyX or LaTeX?
  
/therefore, which needs the amssymb package, but you'll already have 
that if you're using amsbook.cls. Get this: 
http://www.ctan.org/tex-archive/info/symbols/comprehensive/.

How do I do something like this:

4x + 2x + 5x + 3 +4 = 6x + 5x + 3 + 4
= 6x + 5x + 7
= 11x + 7

In other words, the equal signs are vertically aligned. How do I do that?
  

Use the align environment. It's basically an array with two columns.

How do I find out more about the mechanics of writing a math book?
  

http://www.ctan.org/tex-archive/info/math/voss/mathmode/

Richard

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Brown University
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