line break in a Function in Mathjax - latex

very basic question about line break. I'm a newbie at mathjax but understand latex well. I'm using mathjax to make a quiz.
I tried to use \\ in mathjax but it doesn't show the line break: I'd the question to say:
If a + 10 = 2,
then what is the value of a
{
op1: 0,
question: function() {
op1 = Math.ceil(Math.random() * 5) + 1;
return `If $ a + ${op1} = 2 \\ $, then what is the value of $a$`;
},
answer: function() {
return op1 * op2;
}
}
thanks

Since \ is a special character in javascript string literals, you need to double them if you want an actual \ in your string. So you would need to use \\\\ to get \\ in the resulting string. Your \\ would just add \, which (together with the following space) will be the \ control sequence, which will just add a space at the end of the expression.

Related

Lua pattern matching problem with escaped letter

I've already had a rule that \ should be replaced with \\\\
, so the existed code is
string.gsub(s, '\\', '\\\\\\\\')
but there is some data that should not be converted, such as abc\"cba, which will be replaced with abc\\\\"cba.
How can I constraint that only \ followed without " can be replaced, such like
'abc\abc' -> 'abc\\\\abc'
'abc\"abc' -> 'abc\"abc'
I have used patterns like \\[^\"]- and \\[^\"]+- but none of them works.
Thanks
You can use
string.gsub((s .. ' '), '\\([^"])', '\\\\\\\\%1'):sub(1, -2)
See the online demo:
local s = [[abc\abc abc\"abc\]];
s = string.gsub((s .. ' '), '\\([^"])', '\\\\\\\\%1'):sub(1, -2)
print( s );
-- abc\\\\abc abc\"abc\\\\
Notes:
\\([^"]) - matches two chars, a \ and then any one char other than a " char (that is captured into Group 1)
\\\\\\\\%1 - replacement pattern that replaces each match with 4 backslashes and the value captured in Group 1
(s .. ' ') - a space is appended at the end of the input string so that the pattern could consume a char other than a " char
:sub(1, -2) - removes the last "technical" space that was added.

Need DXL code to arrange attribute lines into table (converting DOORS data to LaTeX source)

I have a DXL script which parses all data in DOORS columns into a LaTeX -compatible text source file. What I can't figure out is how to re-order some data into a tabular - compatible format. The attributes in question are DXL links to a reference DOORS module, so there is one line (separated by a line-feed) per link in each cell. Currently I loop thru all columns for each object (row), with the code snippet (part of the full script)
for col in doorsModule do {
var_name = title( col )
if( ! main( col ) && search( regexp "Absolute Number", var_name, 0 ) == false )
{
// oss is my output stream variable
if ( length(text(col, obj) ) > 0 )
{
oss << "\\textbf{";
oss << var_name; // still the column title here
oss << "}\t"
var_name = text( col, obj );
oss << var_name;
oss << "\n\n";
c++;
}
}
}
Examples of the contents of a cell, where I have separately parsed the Column Name to bold and collected it prior to collecting the cell contents. All four lines are the contents of a single cell.
\textbf{LinkedItemName}
DISTANCE
MinSpeed
MaxSpeed
Time
\textbf{Unit}
m
km/h
km/h
minutes
\textbf{Driver1}
100
30
80
20
\textbf{Driver2}
50
20
60
10
\textbf{Driver3}
60
30
60
30
What I want to do is re-arrange the data so that I can write the source code for a table, to wit:
\textbf{LinkedItemName} & \textbf{Unit} & \textbf{Driver1} & \textbf{Driver2} & \textbf{Driver3} \\
DISTANCE & m & 100 & 50 & 60 \\
MinSpeed & km/h & 30 & 20 & 30 \\
MaxSpeed & km/h & 80 & 60 & 60 \\
Time & minutes & 20 & 10 & 30 \\
I know in advance the exact Attribute names I'm "collecting." I can't figure out how to manipulate the data returned from each cell (regex or otherwise) to create my desired final output. I'm guessing some regex code (in DXL) might be able to assign the contents of each line within a cell to a series of variables, but don't quite see how.
Combination of regex and string assembly seems to work. Here's a sample bit of code (some of which is straight from the DOORS DXL Reference Manual)
int idx = 0
Array thewords = create(1,1)
Array thelen = create(1,1)
Regexp getaline = regexp2 ".*"
// matches any character except newline
string txt1 = "line 1\nline two\nline three\n"
// 3 line string
while (!null txt1 && getaline txt1) {
int ilen = length(txt1[match 0])
print "ilen is " ilen "\n"
put(thelen, ilen, idx, 0)
putString(thewords,txt1[match 0],0,idx)
idx ++
// match 0 is whole of match
txt1 = txt1[end 0 + 2:] // move past newline
}
int jj
// initialize to simplify adding the "&"
int lenone = (int get(thelen,0,0) )
string foo = (string get(thewords, 0, 0,lenone ) )
int lenout
for (jj = 1; jj < idx; jj++) {
lenout = (int get(thelen,jj,0) )
foo = foo "&" (string get(thewords, 0, jj,lenout ) )
}
foo = foo "\\\\"
// foo is now "line 1&line two&line three\\ " (without quotes) as LaTeX wants

identify yAxis tick interval

I am using highcharts to display total income per quarter (in thousands of pounds) for a variety of departments.
Sometimes the income for the department is quite small. in this case, the y axis values contains 2 decimal places
Sometimes the income is larger and the y axis values contain 1 decimal place
And occasionally, the value are very large and the y axis values do not contain any decimal places
Fiddle to demonstrate different formatting
The problem I have is that the current formatting of the y axis looks wrong.
I need to set the number of decimal places on the y axis values based on the tick interval: -
small values (i.e. 0.25, 0.5, 0.75, 1 etc) need to be formatted to 2 decimal places.
larger values (i.e. 0.5, 1, 1.5, 2 etc) need to be formatted to 1 decimal place.
very large values (i.e. 80, 90, 100, 110 etc) need no decimal places.
The actual values can be up to 3 decimal places (e.g. 0.306, 0.518 (small) 1.429, 1.806 (larger) 102.429, 160.806(very large))
My code builds up a script string and then uses ScriptManager.RegisterStartupScript to run the script.
I have tried to set the number of decimal places based on the values
Dim yAxisValue as Double= 0
Dim numberOfDP as Integer = 0
...
While reader.Read
If yAxisValue < reader.Item("YAxisValues").ToString Then
yAxisValue = reader.Item("YAxisValues").ToString
If Val(yAxisValue) < 1 Then
numberOfDP = 2
ElseIf Val(yAxisValue) < 10 Then
numberOfDP = 1
End If
End If
End While
MyScript = MyScript & "yAxis: {" & vbCrLf
MyScript = MyScript & "labels: {" & vbCrLf
MyScript = MyScript & "style: {color: 'black'," & vbCrLf
MyScript = MyScript & "'fontSize': '11pt'}," & vbCrLf
MyScript = MyScript & "format: '{value:. & numberOfDP & f}'" & vbCrLf
MyScript = MyScript & "}" & vbCrLf
MyScript = MyScript & "}" & vbCrLf
But I would rather base the formatting on the actual tick interval.
Is there any way I can do this?
I am not sure about ScriptManager.RegisterStartupScript, but in Highcharts you can set yAxis.labels.formatter and determine there how many decimals should be displayed, for example:
function formatter () {
var dec = this.axis.tickInterval > 1 ? 0 : (this.axis.tickInterval > 0.1 ? 1 : 2);
return this.value.toFixed(dec);
}
Now just use in yAxis options that:
yAxis: {
labels: {
formatter: formatter
}
},
And live demo for you: https://jsfiddle.net/4y8n33ob/

Parsing an input file which contains polynomials

Hello experienced pythoners.
The goal is simply to read in my own files which have the following format, and to then apply mathematical operations to these values and polynomials. The files have the following format:
m1:=10:
m2:=30:
Z1:=1:
Z2:=-1:
...
Some very similar variables, next come the laguerre polynomials
...
F:= (12.58295)*L(0,x)*L(1,y)*L(6,z) + (30.19372)*L(0,x)*L(2,y)*L(2,z) - ...:
Where L stands for a laguerre polynomial and takes two arguments.
I have written a procedure in Python which splits apart each line into a left and right hand side split using the "=" character as a divider. The format of these files is always the same, but the number of laguerre polynomials in F can vary.
import re
linestring = open("file.txt", "r").read()
linestring = re.sub("\n\n","\n",str(linestring))
linestring = re.sub(",\n",",",linestring)
linestring = re.sub("\\+\n","+",linestring)
linestring = re.sub(":=\n",":=",linestring)
linestring = re.sub(":\n","\n",linestring)
linestring = re.sub(":","",linestring)
LINES = linestring.split("\n")
for LINE in LINES:
LINE = re.sub(" ","",LINE)
print "LINE=", LINE
if len(LINE) <=0:
next
PAIR = LINE.split("=")
print "PAIR=", PAIR
LHS = PAIR[0]
RHS = PAIR[1]
print "LHS=", LHS
print "RHS=", RHS
The first re.sub block just deals with formatting the file and discarding characters that python will not be able to process; then a loop is performed to print 4 things, LINE, PAIR, LHS and RHS, and it does this nicely. using the example file from above the procedure will print the following:
LINE= m1=1
PAIR= ['m1', '1']
LHS= m1
RHS= 1
LINE= m2=1
PAIR= ['m2', '1']
LHS= m2
RHS= 1
LINE= Z1=-1
PAIR= ['Z1', '-1']
LHS= Z1
RHS= -1
LINE= Z2=-1
PAIR= ['Z2', '-1']
LHS= Z2
RHS= -1
LINE= F= 12.5*L(0,x)L(1,y) + 30*L(0,x)L(2,y)L(2,z)
PAIR=['F', '12.5*L(0,x)L(1,y) + 30*L(0,x)L(2,y)L(2,z)']
LHS= F
RHS= 12.5*L(0,x)L(1,y) + 30*L(0,x)L(2,y)L(2,z)
My question is what is the next best step to process this output and use it in a mathematical script, especially assigning the L to mean a laguerre polynomial? I tried putting the LHS and RHS into a dictionary, but found it troublesome to put F in it due to the laguerre polynomials.
Any ideas are welcome. Perhaps I am overcomplicating this and there is a much simpler way to parse this file.
Many thanks in advance
Your parsing algorithm doesn't seem to work correctly, as the RHS of your variables dont produce the expected result.
Also the first re.sub block where you want to format the file seems overly complicated. Assuming every statement in your input file is terminated by a colon, you could get rid of all whitespace and newlines and seperate the statements using the following code:
linestring = open('file.txt','r').read()
strippedstring = linestring.replace('\n','').replace(' ','')
statements = re.split(':(?!=)',strippedstring)[:-1]
Then you iterate over the statements and split each one in LHS and RHS:
for st in statements:
lhs,rhs = re.split(':=',st)
print 'lhs=',lhs
print 'rhs=',rhs
In the next step, try to distinguish normal float variables and polynomials:
#evaluate rhs
try:
#interpret as numeric constant
f = float(rhs)
print " ",f
except ValueError:
#interpret as laguerre-polynomial
summands = re.split('\+', re.sub('-','+-',rhs))
for s in summands:
m = re.match("^(?P<factor>-?[0-9]*(\.[0-9]*)?)(?P<poly>(\*?L\([0-9]+,[a-z]\))*)", s)
if not m:
print ' polynomial misformatted'
continue
f = m.group('factor')
print ' factor: ',f
p = m.group('poly')
for l in re.finditer("L\((?P<a>[0-9]+),(?P<b>[a-z])\)",p):
print ' poly: L(%s,%s)' % (l.group("a"),l.group("b"))
This should work for your given example file.

How to use some text processing(awk etc..) to put some character in a text file at certain lines

I have a text file which has hex values, one value on one separate line. A file has many such values one below another. I need to do some analysis of the values for which i need to but some kind of delimiter/marker say a '#' in this file before line numbers 32,47,62,77... difference between two line numbers in this patterin is 15 always.
I am trying to do it using awk. I tried few things but didnt work.
What is the command in awk to do it?
Any other solution involving some other language/script/tool is also welcome.
Thank you.
-AD
This is how you can use AWK for it,
awk 'BEGIN{ i=0; } \
{if (FNR<31) {print $0} \
else {i++; if (i%15) {print $0} else {printf "#%s\n",$0}}\
}' inputfile.txt > outputfile.txt
How it works,
BEGIN sets an iterator for counting from your starting line 32
FNR<31 starts counting from the 31st record (the next record needs a #)
input lines are called records and FNR is an AWK variable that counts them
Once we start counting, the i%15 prefixes a # on every 15th line
$0 prints the record (the line) as is
You can type all the text with white spaces skipping the trailing '\' on a single command line.
Or, you can use it as an AWK file,
# File: comment.awk
BEGIN{ i=0; }
$0 ~ {\
if (FNR<31) {print $0} \
else {\
i++; \
if (i%15) {\
print $0
}\
else {\
printf "#%s\n",$0
}\
}\
}
And run it as,
awk -f comment.awk inputfile.txt > outputfile.txt
Hope this will help you to use more AWK.
Python:
f_in = open("file.txt")
f_out = open("file_out.txt","w")
offset = 4 # 0 <= offset < 15 ; first marker after fourth line in this example
for num,line in enumerate(f_in):
if not (num-offset) % 15:
f_out.write("#\n")
f_out.write(line)
Haskell:
offset = 31;
chunk_size = 15;
main = do
{
(h, t) <- fmap (splitAt offset . lines) getContents;
mapM_ putStrLn h;
mapM_ ((putStrLn "#" >>) . mapM_ putStrLn) $
map (take chunk_size) $
takeWhile (not . null) $
iterate (drop chunk_size) t;
}

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