SUBWAY - Random Thoughts Topic

Union Tpke · April 14, 2015

For the exception of 3 Avenue and Utica Avenue, I think that the Bronx and Brooklyn are pretty well covered. Queens definitely need better subway coverage, it's lacking. I prefer the old LIRR to be restored over the SBS route.

For me it would crazy to think otherwise. The ROW is right there! The only things that need to be moved are the shrubs and trees on the ROW, a baseball field, and a place for buses. No people are displaced!

The stupid park won't get many people, due to a lack of reliable transportation, please don't say that SBS is a viable opinion, because it isn't.

Bus routes, even SBS, aren't stable to the community like subway or rail. Property values go up because of rail service, not bus. Also, people are attracted to move to a community because of a quick trip to work and back home, not unreliable bus service.

Please public officials, please realize that there is an opportunity for a subway line, that doesn't cost a lot compared to other projects, LGA Airtrain, and the value of the extension will be payed back through taxes from increases property values and more customers for businesses surrounding the righto of way. Also, more cars will be taken off of the road, relieving congestion on Woodhaven Boulevard and other roads.

FamousNYLover · April 14, 2015

Have anyone heard new announce on R143?

Tonight, from turnstile at Court St platform, I made it to (2) train before door closed and there was different announcement.

It said: "(2) express train to the Bronx. Nest stop is...

"This is Park Place. Transfer to (A) (C) (E) and connect to PATH train."

Priincenene · April 14, 2015

Have anyone heard new announce on R143?

Tonight, from turnstile at Court St platform, I made it to train before door closed and there was different announcement.

It said: "(2) express train to the Bronx. Nest stop is...

"This is Park Place. Transfer to and connect to PATH train."

You mean R142, Yuki?

Nd if dats true dat som rare things right there man.....

MysteriousBtrain · April 14, 2015

You mean R142, Yuki?

Nd if dats true dat som rare things right there man.....

Some people on the forums did say the 2 train announcements changed a bit....

Maybe Wednesday I'll check the 2 out and listen to the announcements. I'd like to see what these new announcements are like.

Javier · April 14, 2015

They are HORRIBLE. Why did the MTA even change the announcements?

Q113 LTD · April 14, 2015

For some strange reason, every time I take the (A) from Far Rockaway and when it gets to Rockaway Blvd, some people on the platform don't even get on the train and they will wait for the next one. The train wasn't that crowded.

BronxBombers · April 14, 2015

For some strange reason, every time I take the from Far Rockaway and when it gets to Rockaway Blvd, some people on the platform don't even get on the train and they will wait for the next one. The train wasn't that crowded.

Same with the (5) that goes to Nereid (or Wakefield in the morning). People will just wait at E180 for the (2) , even though the (5) makes the same stops.

Lance · April 14, 2015

Same with the that goes to Nereid (or Wakefield in the morning). People will just wait at E180 for the , even though the makes the same stops.

What? The 5 train absolutely does not make the same stops from E 180 St to Nereid Av. </sarcasm>

Have anyone heard new announce on R143?

Tonight, from turnstile at Court St platform, I made it to train before door closed and there was different announcement.

It said: " express train to the Bronx. Nest stop is...

"This is Park Place. Transfer to and connect to PATH train."

Some people on the forums did say the 2 train announcements changed a bit....

Maybe Wednesday I'll check the 2 out and listen to the announcements. I'd like to see what these new announcements are like.

Check out this post on my observations:

http://www.nyctransitforums.com/forums/topic/47236-ntt-announcement-observations-apr-2015/

RollOver · April 14, 2015

I'm no longer a devoted buff that I once was, primarily because of the enormous amount of flaws in the subway system (and the (MTA) agency in general) that I've learned so far. Once you take some time to look at my proposals in the other thread, you'll understand that I'm not the type of person that will brainstorm for the fun of imagination. If that's what some people on this site might think of me, well, that's you.

ttcsubwayfan · April 15, 2015

I'm no longer a devoted buff that I once was, primarily because of the enormous amount of flaws in the subway system (and the agency in general) that I've learned so far. Once you take some time to look at my proposals in the other thread, you'll understand that I'm not the type of person that will brainstorm for the fun of imagination. If that's what some people on this site might think of me, well, that's you.

Why does it have to be flawless in order for you to be a fan?

RollOver · April 15, 2015

Why does it have to be flawless in order for you to be a fan?

I'm surprised you're questioning me about that when this is the Random Thoughts Thread. If you live here in New York City regularly, you'll be able to experience major delays which could lead to a short turn, reroute, etc. And all of that can lead to a gap in service and, in turn, overcrowding. In the morning rush, particular before you get to work in the CBDs or anywhere else for that matter, it's really important to minimize all delays. The same applies in the evening rush when you're going home. Take a look at the bottlenecks in the subway system next time you're in New York and then get back to me.

ttcsubwayfan · April 15, 2015

I'm surprised you're questioning me about that when this is the Random Thoughts Thread. If you live here in New York City regularly, you'll be able to experience major delays which could lead to a short turn, reroute, etc. And all of that can lead to a gap in service and, in turn, overcrowding. In the morning rush, particular before you get to work in the CBDs or anywhere else for that matter, it's really important to minimize all delays. The same applies in the evening rush when you're going home. Take a look at the bottlenecks in the subway system next time you're in New York and then get back to me.

First off, random thought ≠ immune to questions.

Second of all, I am aware of the fact that the subway can be a place filled with delays and overcrowding. I had the misfortune of riding a crowded (A) train at 8:30 PM once, an hour at which trains should absolutely not be crowded, to name but one example. That doesn't explain why you said that you were no longer a devoted buff because of said flaws. Why does it have to be perfect in order for you to be a devoted fan?

RollOver · April 15, 2015

First off, random thought ≠ immune to questions.

Second of all, I am aware of the fact that the subway can be a place filled with delays and overcrowding. I had the misfortune of riding a crowded train at 8:30 PM once, an hour at which trains should absolutely not be crowded, to name but one example. That doesn't explain why you said that you were no longer a devoted buff because of said flaws. Why does it have to be perfect in order for you to be a devoted fan?

I like the subway, not love it. But the point still stands: any major backups caused by a particular design of a bottleneck=could lead to a reroute, short turn, which could also lead to overcrowding.

Also, is it really worth nitpicking certain little things that I post? I don't think so. I don't ever do it to you, did I? So don't try and debate with me here about that particular. There are a ton of things in the (MTA) that just don't make sense and they knew it. Of course, though, there are always causes of why said bottlenecks were built the way they are, and now people are stuck with these delays and long gaps for years to come.

Edited April 15, 2015 by RollOver

Fresh Pond · April 15, 2015

That's why they tell you to plan ahead...and always have a plan B just in case your main way goes to shit

N6 Limited · April 15, 2015

That's why they tell you to plan ahead...and always have a plan B just in case your main way goes to shit

Which is only useful if you know beforehand. It's kind of late when you're stuck between stations and there's nothing you can do.

ttcsubwayfan · April 15, 2015

Also, is it really worth nitpicking certain little things that I post? I don't think so. I don't ever do it to you, did I? So don't try and debate with me here about that particular. There are a ton of things in the that just don't make sense and they knew it. Of course, though, there are always causes of why said bottlenecks were built the way they are, and now people are stuck with these delays and long gaps for years to come.

No need to get defensive. All I did was ask a question, not like I belittled you for it.

That's why they tell you to plan ahead...and always have a plan B just in case your main way goes to shit

+1

Javier · April 15, 2015

Steering back to the subject:

During late nights when the (3) is cut back to 14th Street and the (2) is running local, why dosen't the (2) have the local stops on the strip map?

RollOver · April 15, 2015

Steering back to the subject:

During late nights when the is cut back to 14th Street and the is running local, why dosen't the have the local stops on the strip map?

The (3) short turns at 42nd during nights, not 14th. And the (2) ran express in Manhattan 24/7 at the time the R142s were being delivered, so they felt it was unnecessarily to add the local stops on the strip maps.

YankeesPwnMets · April 15, 2015

Are there even enough LEDs on that board to put local stops? The (2) already has a sh*tload of stops and something tells me that they're aren't even enough lights to include the local stops

Edit: I counted 61 stops for the (2) local. I read somewhere that the boards have 64 lights (not sure) so I guess there would be just enough lights. They might as well add them in if they ever replace those maps (seriously some of them are brown now)

Edited April 15, 2015 by YankeesPwnMets

Daniel The Cool · April 16, 2015

The short turns at 42nd during nights, not 14th. And the ran express in Manhattan 24/7 at the time the R142s were being delivered, so they felt it was unnecessarily to add the local stops on the strip maps.

No the (2) started running local in Manhattan at nights in 1999 before the R142s were delivered.

Calvin · April 16, 2015

So, the updated annoucements starts on the (2) (5) first as heard from cars 6301-6630

Before: This Is a Manhattan Bound 2 train, The Next Stop Is: (station name)

Now: 2 Train To Manhattan, Next Stop: (station name)

CenSin · April 16, 2015

If you’ve attempted to reproduce the curves that trains follow on the computer, you’ll notice that the shapes of the curves cannot be reproduced by the likes of Adobe Illustrator without a lot of manual labor fitting the Bézier curves to the Cornu spirals that make up parts of the curves. Cornu spirals are commonly employed to lay out rail in order to permit righter turns, faster operating speeds, comfortable rides, and safety since they allow a train to turn without jerking side to side. From physics 101, an object that follows a circular curve experiences an outward force that’s proportional to the square of its velocity, but an object that follows a straight path experiences none, so to connect a circular arc directly to straight track would subject a moving train to a near instantaneous increase in lateral forces at the point where the two segments are joined. A small segment of a Cornu spiral allows a moving train to slowly transition to a circular arc or another tangent gracefully without abrupt lateral forces.

With the aid of Maple and Mathematica, I just created a set of formulas for calculating sets of points along two spiral curves connecting two tangents. The formulas are fully tunable, accepting parameters for degree of change, length of path, and number of points calculated for the entire curve. Hopefully, these points can be easily exported to SVG format for use in Adobe Illustrator. Tomorrow, I’ll be playing around with the file manipulation capabilities of Maple.

I actually got around to finishing the algorithm which takes an angle, curve length, and tolerance value. With a low enough tolerance value in the parameters, it creates some very smooth curves which are actually approximated using a series of lines. The curve I'm going to illustrate in this post is a simple loop. A vehicle traveling along this curve basically makes a 360° turn, starting and ending in the same direction. At each end of the curve, the tangential angle is 0°, which means the endpoints are theoretically straight.

θ=360°, L≈2828, Δ<0.125

The approximation is drawn with 188 line segments, each no more than 0.125 units from the actual curve. So if your unit was in feet, the segments would never deviate more than 1.5 inches from the real thing.

θ=360°, L≈2828, Δ<1

At a tolerance level of 1, the approximation is drawn with 60 line segments. The corners become noticeable if the curve is scruitinized.

θ=360°, L≈2828, Δ<8

At a tolerance level of 8, the approximation is drawn with 24 line segments. The curve is obviously not smooth.

θ=360°, L≈2828, Δ<64

This one only has 8 line segments, each one permitted to deviate as much as 64 units from the actual curve!

θ=360°, L≈2828, Δ<512

It doesn’t retain any semblance of the loop.

At smaller values of L, but holding θ and Δ constant, we get the same shapes—just smaller ones. For vehicles, that means tighter turns and slower speeds as L gets smaller since the vehicle has to turn more per unit of length to reach θ.

θ=360°, L≈283, Δ<0.125

This is the same shape as the first one, but the curve is approximated with only 52 line segments, and the length is a tenth as long.

Other curves can be made too:

θ=90°, L≈141, Δ<0.125

This one is made of 20 line segments.

θ=45°, L≈100, Δ<0.125

This one is made of 12 line segments.

And the Maple code behind all of it:

In a copyable and pastable form (hint: Maple files are simply XML files with an MW extension):

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firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.3" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/><Layout name="Dash Item" alignment="left" bullet="dash" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/><Layout name="HyperlinkError" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/><Layout name="Error" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/><Layout name="Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/><Layout name="Heading 1" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="4" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/><Layout name="Bullet Item" alignment="left" bullet="dot" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/><Layout name="Heading 4" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/><Layout name="Heading 3" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/><Layout name="Heading 2" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="2" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/><Layout name="HyperlinkWarning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/><Layout name="List Item" alignment="left" bullet="indent" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/><Pencil-style name="Pencil 5" pen-color="[255,0,0]" pen-height="5.0" pen-width="5.0" pen-opacity="1.0"/><Pencil-style name="Pencil 4" pen-color="[0,0,255]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/><Pencil-style name="Pencil 3" pen-color="[0,0,0]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/><Pencil-style name="Pencil 2" pen-color="[0,0,255]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/><Pencil-style name="Pencil 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/><Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" pen-opacity="0.8"/><Highlighter-style name="Highlighter 1" pen-color="[255,153,255]" pen-height="12.0" pen-width="8.0" pen-opacity="0.8"/><Highlighter-style name="Highlighter 4" pen-color="[0,255,255]" pen-height="32.0" pen-width="32.0" pen-opacity="0.8"/><Highlighter-style name="Highlighter 3" pen-color="[51,255,0]" pen-height="24.0" pen-width="24.0" pen-opacity="0.8"/><Highlighter-style name="Highlighter 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/></Styles><Task-table>    <Task-category name="<default>"/></Task-table><Task/><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L10" drawlabel="true"><Input><Text-field style="Title" layout="Title"><Font encoding="UTF-8">Tangent\342\200\223curve\342\200\223tangent Transition Spiral Calculations</Font></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L25" drawlabel="true"><Input><Text-field style="Heading 1" layout="Heading 1">Packages</Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L303" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Digits := 73:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEnRGlnaXRzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSNtbkdGJDYkUSM3M0YnRjktRjY2LVEiOkYnRjlGO0Y+RkBGQkZERkZGSEZKRk0vJStleGVjdXRhYmxlR0Y9Rjk=">QyQ+SSdEaWdpdHNHNiIiI3QhIiI=</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L27" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="with(LinearAlgebra):" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRLkxpbmVhckFsZ2VicmFGJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGQC1JI21vR0YkNi1RIjpGJ0ZALyUmZmVuY2VHRj8vJSpzZXBhcmF0b3JHRj8vJSlzdHJldGNoeUdGPy8lKnN5bW1ldHJpY0dGPy8lKGxhcmdlb3BHRj8vJS5tb3ZhYmxlbGltaXRzR0Y/LyUnYWNjZW50R0Y/LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVkY9RkA=">QyQtSSV3aXRoRzYiNiNJLkxpbmVhckFsZ2VicmFHNiRJKF9zeXNsaWJHRiUlKnByb3RlY3RlZEchIiI=</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L122" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="with(plots):" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRJnBsb3RzRidGL0YyLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRkAtSSNtb0dGJDYtUSI6RidGQC8lJmZlbmNlR0Y/LyUqc2VwYXJhdG9yR0Y/LyUpc3RyZXRjaHlHRj8vJSpzeW1tZXRyaWNHRj8vJShsYXJnZW9wR0Y/LyUubW92YWJsZWxpbWl0c0dGPy8lJ2FjY2VudEdGPy8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlZGPUZA">QyQtSSV3aXRoRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiNJJnBsb3RzR0YlISIi</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L225" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="with(XMLTools):" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRKVhNTFRvb2xzRidGL0YyLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRkAtSSNtb0dGJDYtUSI6RidGQC8lJmZlbmNlR0Y/LyUqc2VwYXJhdG9yR0Y/LyUpc3RyZXRjaHlHRj8vJSpzeW1tZXRyaWNHRj8vJShsYXJnZW9wR0Y/LyUubW92YWJsZWxpbWl0c0dGPy8lJ2FjY2VudEdGPy8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlZGPUZA">QyQtSSV3aXRoRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiNJKVhNTFRvb2xzR0YlISIi</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L1" drawlabel="true"><Input><Text-field style="Heading 1" layout="Heading 1">Functions</Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L392" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="Midpoint := proc (P__1, P__2) options operator, arrow; Vector[row](2, { = (1/2)*P__1[1]+(1/2)*P__2[1],  = (1/2)*P__1[2]+(1/2)*P__2[2]}) end proc:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEpTWlkcG9pbnRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JKG1mZW5jZWRHRiQ2JC1GIzYnLUYsNiNRJ2BQX18xYEYnLUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkgvRktRJjAuMGVtRicvRk5RLDAuMzMzMzMzM2VtRictRiw2I1EnYFBfXzJgRicvJStleGVjdXRhYmxlR0Y9RjlGOS1GNjYtUSgmc3JhcnI7RidGOUY7Rj5GQEZCRkRGRkZIRmVuL0ZORmZuLUkobWFjdGlvbkdGJDYkLUZQNigtSSdtdGFibGVHRiQ2NS1JJG10ckdGJDYnLUkkbXRkR0YkNigtRiM2KC1GLDYjUSFGJy1GIzYmRmJwLUkmbWZyYWNHRiQ2KC1GIzYuRlQtRjY2LVEiW0YnRjkvRjxGMUY+L0ZBRjFGQkZERkZGSC9GS1EsMC4xNjY2NjY3ZW1GJy9GTkZicS1JI21uR0YkNiRRIjFGJ0Y5LUY2Ni1RIl1GJ0Y5Rl9xRj5GYHFGQkZERkZGSEZhcS9GTlEsMC4xMTExMTExZW1GJy1GNjYtUSIrRidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORmFyRmluRlxxRmRxRmhxRlxvLyUscGxhY2Vob2xkZXJHRjFGOS1GIzYoLUZlcTYkUSIyRidGOUYvLyUrZm9yZWdyb3VuZEdRLFsyMDAsMCwyMDBdRidGXG9GY3JGMi8lLmxpbmV0aGlja25lc3NHRmdxLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmFzLyUpYmV2ZWxsZWRHRj1GXG9GOUZicEZcb0ZjckY5LyUpcm93YWxpZ25HRmRwLyUsY29sdW1uYWxpZ25HRmRwLyUrZ3JvdXBhbGlnbkdGZHAvJShyb3dzcGFuR0ZncS8lK2NvbHVtbnNwYW5HRmdxLUZecDYoLUYjNictRmhwNigtRiM2LkZURlxxRmdyRmhxRl1yRmluRlxxRmdyRmhxRlxvLyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnRjktRiM2JkZnckZcb0ZodEY5Rl1zRl9zRmJzRmRzRmJwRlxvRmNyRjlGZnNGaHNGanNGXHRGXnRGZnNGaHNGanMvJSZhbGlnbkdRJWF4aXNGJy9GZ3NRKWJhc2VsaW5lRicvRmlzRmFzL0ZbdFEnfGZybGVmdHxockYnLyUvYWxpZ25tZW50c2NvcGVHRjEvJSxjb2x1bW53aWR0aEdRJWF1dG9GJy8lJndpZHRoR0ZpdS8lK3Jvd3NwYWNpbmdHUSYxLjBleEYnLyUuY29sdW1uc3BhY2luZ0dRJjAuOGVtRicvJSlyb3dsaW5lc0dRJW5vbmVGJy8lLGNvbHVtbmxpbmVzR0Zkdi8lJmZyYW1lR0Zkdi8lLWZyYW1lc3BhY2luZ0dRLDAuNGVtfjAuNWV4RicvJSplcXVhbHJvd3NHRj0vJS1lcXVhbGNvbHVtbnNHRj0vJS1kaXNwbGF5c3R5bGVHRj0vJSVzaWRlR1EmcmlnaHRGJy8lMG1pbmxhYmVsc3BhY2luZ0dGYXZGOS9JK21zZW1hbnRpY3NHRiRRKlJvd1ZlY3RvckYnLyUlb3BlbkdGXnEvJSZjbG9zZUdGanFGZ3cvJSthY3Rpb250eXBlR1EucnRhYmxlYWRkcmVzc0YnLUY2Ni1RIjpGJ0Y5RjtGPkZARkJGREZGRkhGSkZNRlxvRjk=">QyQ+SSlNaWRwb2ludEc2ImYqNiRJJVBfXzFHRiVJJVBfXzJHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJVgqSSlhbnl0aGluZ0clKnByb3RlY3RlZEdGJUYlW2dsISQlISEhIiMiIywmJjkkNiMiIiIjRjQiIiMmOSVGM0Y1LCYmRjI2I0Y2RjUmRjhGO0Y1RiVGJUYlISIi</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L396" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="Distance := proc (P__1, P__2) options operator, arrow; sqrt((P__2[1]-P__1[1])^2+(P__2[2]-P__1[2])^2) end proc:" display="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">QyQ+SSlEaXN0YW5jZUc2ImYqNiRJJVBfXzFHRiVJJVBfXzJHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJS1JJXNxcnRHRiU2IywmKiQsJiY5JTYjIiIiRjYmOSRGNSEiIiIiI0Y2KiQsJiZGNDYjRjpGNiZGOEY+RjlGOkY2RiVGJUYlRjk=</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L2" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="Cornu := proc  options operator, arrow; Vector[row](1 .. 2, {1 = FresnelC(t), 2 = FresnelS(t)}, datatype = anything, storage = rectangular, order = Fortran_order, subtype = Vector[row]) end proc:" display="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">QyQ+SSZDb3JudUc2ImYqNiNJInRHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJS0mSSdWZWN0b3JHRiU2I0kkcm93R0YlNig7IiIiIiIjPCQvRjMtSSlGcmVzbmVsQ0dGJTYjOSQvRjQtSSlGcmVzbmVsU0dGJUY5L0kpZGF0YXR5cGVHRiVJKWFueXRoaW5nRyUqcHJvdGVjdGVkRy9JKHN0b3JhZ2VHRiVJLHJlY3Rhbmd1bGFyR0YlL0kmb3JkZXJHRkFJLkZvcnRyYW5fb3JkZXJHRiUvSShzdWJ0eXBlR0YlRi1GJUYlRiUhIiI=</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L61" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="Radius := proc  options operator, arrow; 1/t end proc:" display="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">QyQ+SSdSYWRpdXNHNiJmKjYjSSJ0R0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUqJDkkISIiRiVGJUYlRi4=</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L52" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="Angle := proc  options operator, arrow; (1/2)*Pi*t^2 end proc:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEmQW5nbGVGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRInRGJ0YvRjIvJStleGVjdXRhYmxlR0Y9RjlGOS1GNjYtUSgmc3JhcnI7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZORmduLUkmbWZyYWNHRiQ2KC1GIzYnLUYsNiVRJyYjOTYwO0YnL0YwRj1GOS1GNjYtUSJ+RidGOUY7Rj5GQEZCRkRGRkZIRmZuRmhuLUklbXN1cEdGJDYlRlQtRiM2Jy1JI21uR0YkNiRRIjJGJ0Y5Ri9GVy8lMGZvbnRfc3R5bGVfbmFtZUdRKDJEfk1hdGhGJ0YyLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0ZXRjlGaG8vJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmlwLyUpYmV2ZWxsZWRHRj0tRjY2LVEiOkYnRjlGO0Y+RkBGQkZERkZGSEZKRk1GV0Y5">QyQ+SSZBbmdsZUc2ImYqNiNJInRHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwkKiZJI1BpRyUqcHJvdGVjdGVkRyIiIjkkIiIjI0YwRjJGJUYlRiUhIiI=</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L54" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="Slope := proc  options operator, arrow; tan(Angle(t)) end proc:" display="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">QyQ+SSZTbG9wZUc2ImYqNiNJInRHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJS1JJHRhbkdGJTYjLUkmQW5nbGVHRiU2IzkkRiVGJUYlISIi</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L67" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="ArcLengthFromAngle := proc (theta) options operator, arrow; sqrt(2*theta/Pi) end proc:" display="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">QyQ+STNBcmNMZW5ndGhGcm9tQW5nbGVHNiJmKjYjSSZ0aGV0YUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUklc3FydEdGJTYjLCQqJjkkIiIiSSNQaUclKnByb3RlY3RlZEchIiIiIiNGJUYlRiVGNQ==</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L324" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="" display="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">QyQ+SSdSb3RhdGVHNiJmKjYkSSJNR0YlSSZ0aGV0YUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkwZGVsYXlEb3RQcm9kdWN0RzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUdGJUksVHlwZXNldHRpbmdHNiRGMEkoX3N5c2xpYkdGJTYlOSQtSSdNYXRyaXhHRiU2KTsiIiIiIiNGOzwmLzYkRjxGPC1JJGNvc0dGJTYjOSUvNiRGPEY9LUkkc2luR0YlRkMvNiRGPUY8LCRGRyEiIi82JEY9Rj1GQS9JKWRhdGF0eXBlR0YlSSlhbnl0aGluZ0dGMC9JKHN0b3JhZ2VHRiVJLHJlY3Rhbmd1bGFyR0YlL0kmb3JkZXJHRjBJLkZvcnRyYW5fb3JkZXJHRiUvSShzdWJ0eXBlR0YlRjlJJXRydWVHRjBGJUYlRiVGTA==</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L105" drawlabel="true" redirect-target="L388"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="CalculateCoordinates := proc (t__1, t__2, scale, tolerance) local t__m, p__1, p__2, p__m; t__m := (t__1+t__2)*(1/2); p__1 := scale*Cornu(t__1); p__2 := scale*Cornu(t__2); p__m := scale*Cornu(t__m); if tolerance < evalf(Distance(Midpoint(p__1, p__2), p__m)) then return `<,>`(CalculateCoordinates(t__1, t__m, scale, tolerance), DeleteRow(CalculateCoordinates(t__m, t__2, scale, tolerance), 1)) else return `<,>`(p__1, p__2) end if end proc:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzZdcy1JI21pR0YkNiVRNUNhbGN1bGF0ZUNvb3JkaW5hdGVzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRjY2L1ElcHJvY0YnLyUlYm9sZEdGMS9GM1ElYm9sZEYnLyUrZm9udHdlaWdodEdGVUY7Rj5GQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZORlktSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdGWS8lJmRlcHRoR0Zqbi8lKmxpbmVicmVha0dRJWF1dG9GJy1JKG1mZW5jZWRHRiQ2JC1GIzYrLUYsNiNRJ2B0X18xYEYnLUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkhGWC9GTlEsMC4zMzMzMzMzZW1GJy1GLDYjUSdgdF9fMmBGJ0Zqby1GLDYlUSZzY2FsZUYnRi9GMkZqby1GLDYlUSp0b2xlcmFuY2VGJ0YvRjIvJStleGVjdXRhYmxlR0Y9RjlGOS1GLDYjUSFGJy1GZm42JkZobkZbb0Zdby9GYG9RKG5ld2xpbmVGJy1GNjYtUSJ+RidGOUY7Rj5GQEZCRkRGRkZIRlhGWkZicUZicUZicUZicS1GNjYvUSZsb2NhbEYnRlJGVEZWRjtGPkZARkJGREZGRkhGWEZaRmJxLUYsNiNRJ2B0X19tYEYnRjUtSSZtZnJhY0dGJDYoLUYjNiZGZ28tRjY2LVEiK0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZkckZgcEY5LUYjNiQtSSNtbkdGJDYkUSIyRidGOUY5LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zhcy8lKWJldmVsbGVkR0Y9LUY2Ni1RIjtGJ0Y5RjtGXXBGQEZCRkRGRkZIRlhGTUZecUZicUZicUZicUZicUZicUZlcUZicS1GLDYjUSdgcF9fMWBGJ0Y1RmNwLUY2Ni1RJyZzZG90O0YnRjlGO0Y+RkBGQkZERkZGSEZYRlotRiw2JVEmQ29ybnVGJ0YvRjItRmNvNiQtRiM2JUZnb0ZpcEY5RjlGZnNGXnFGYnFGYnFGYnFGYnFGYnFGZXFGYnEtRiw2I1EnYHBfXzJgRidGNUZjcEZcdEZfdC1GY282JC1GIzYlRmBwRmlwRjlGOUZmc0ZecUZicUZicUZicUZicUZicUZlcUZicS1GLDYjUSdgcF9fbWBGJ0Y1RmNwRlx0Rl90LUZjbzYkLUYjNiVGaHFGaXBGOUY5RmZzRl5xRmJxRmJxRmJxRmJxRmJxLUY2Ni9RI2lmRidGUkZURlZGO0Y+RkBGQkZERkZGSEZYRlpGYnEtRiw2JVEmZXZhbGZGJ0YvRjItRmNvNiQtRiM2Ji1GLDYlUSlEaXN0YW5jZUYnRi9GMi1GY282JC1GIzYoLUYsNiVRKU1pZHBvaW50RidGL0YyLUZjbzYkLUYjNidGaXNGam9GZnRGaXBGOUY5RmpvRl11RmlwRjlGOUZpcEY5RjktRjY2LVEiPkYnRjlGO0Y+RkBGQkZERkZGSEZKRk1GZnBGYnEtRjY2L1EldGhlbkYnRlJGVEZWRjtGPkZARkJGREZGRkhGWEZaRl5xRmJxRmJxRmJxRmJxRmJxRmJxRmJxRmJxRmJxLUY2Ni9RJ3JldHVybkYnRlJGVEZWRjtGPkZARkJGREZGRkhGWEZaRmJxLUZjbzYmLUYjNilGKy1GY282JC1GIzYrRmdvRmpvRmhxRmpvRmNwRmpvRmZwRmlwRjlGOUZqby1GLDYlUSpEZWxldGVSb3dGJ0YvRjItRmNvNiQtRiM2KEYrLUZjbzYkLUYjNipGaHFGam9GYHBGam9GY3BGam9GZnBGOUY5RmpvLUZpcjYkRl5zRjlGaXBGOUY5RmlwRjlGOS8lJW9wZW5HUScmbGFuZztGJy8lJmNsb3NlR1EnJnJhbmc7RidGW3FGXnFGYnFGYnFGYnFGYnFGYnEtRjY2L1ElZWxzZUYnRlJGVEZWRjtGPkZARkJGREZGRkhGWEZaRl5xRmJxRmJxRmJxRmJxRmJxRmJxRmJxRmJxRmJxRmJ3RmJxLUZjbzYmRmp2RjlGanhGXXlGW3FGXnFGYnFGYnFGYnFGYnFGYnEtRjY2L1EkZW5kRidGUkZURlZGO0Y+RkBGQkZERkZGSEZYRlpGYnFGZHVGXnFGYnFGZXlGYnFGTy1GNjYtUSI6RidGOUY7Rj5GQEZCRkRGRkZIRkpGTUZpcEY5">QyQ+STVDYWxjdWxhdGVDb29yZGluYXRlc0c2ImYqNiZJJXRfXzFHRiVJJXRfXzJHRiVJJnNjYWxlR0YlSSp0b2xlcmFuY2VHRiU2JkkldF9fbUdGJUklcF9fMUdGJUklcF9fMkdGJUklcF9fbUdGJUYlRiVDJz44JC1JIipHJSpwcm90ZWN0ZWRHNiQsJjkkIiIiOSVGOiNGOiIiIz44JSomOSZGOi1JJkNvcm51R0YlNiNGOUY6PjgmKiZGQUY6LUZDNiNGO0Y6PjgnKiZGQUY6LUZDNiNGM0Y6QCUyOSctSSZldmFsZkdGNjYjLUkpRGlzdGFuY2VHRiU2JC1JKU1pZHBvaW50R0YlNiRGP0ZGRktPLUkkPCw+R0YlNiQtRiQ2JkY5RjNGQUZRLUkqRGVsZXRlUm93R0YlNiQtRiQ2JkYzRjtGQUZRRjpPLUZnbkZaRiVGJUYlISIi</Equation></Text-field></Input><Output><Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field></Output></Group><Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L388" drawlabel="true" redirect-source="L105"><Input><Text-field prompt="> " style="Maple Input" layout="Normal">print(<Label label="L105" view="label" executable="true"></Label>); # input placeholder</Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L317" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="ReverseRows := proc  options operator, arrow; Matrix(RowDimension(M), ColumnDimension(M), proc (i, j) options operator, arrow; M[RowDimension(M)-i+1, j] end proc) end proc:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JVEsUmV2ZXJzZVJvd3NGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRIk1GJ0YvRjIvJStleGVjdXRhYmxlR0Y9RjlGOS1GNjYtUSgmc3JhcnI7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZORmduLUYsNiVRJ01hdHJpeEYnRi9GMi1GUDYkLUYjNi4tRiw2JVEtUm93RGltZW5zaW9uRidGL0YyRk8tRjY2LVEiLEYnRjlGOy9GP0YxRkBGQkZERkZGSEZmbi9GTlEsMC4zMzMzMzMzZW1GJy1GLDYlUTBDb2x1bW5EaW1lbnNpb25GJ0YvRjJGT0Zjby1GUDYkLUYjNictRiw2JVEiaUYnRi9GMkZjby1GLDYlUSJqRidGL0YyRldGOUY5RllGVC1GUDYmLUYjNixGYG9GTy1GNjYtUSgmbWludXM7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORl5xRmBwLUY2Ni1RIitGJ0Y5RjtGPkZARkJGREZGRkhGXXFGX3EtSSNtbkdGJDYkUSIxRidGOUZjb0ZjcEZXRjlGOS8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJ0ZXRjlGOS1GNjYtUSI6RidGOUY7Rj5GQEZCRkRGRkZIRkpGTUZXRjk=">QyQ+SSxSZXZlcnNlUm93c0c2ImYqNiNJIk1HRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJS1JJ01hdHJpeEdGJTYlLUktUm93RGltZW5zaW9uR0YlNiM5JC1JMENvbHVtbkRpbWVuc2lvbkdGJUYxZio2JEkiaUdGJUkiakdGJUYlRilGJSZUJDYkLCgtRjA2I0Y6IiIiRjIhIiJGP0Y/OSVGJUYlNiRGKEYyRiVGJUYlRkA=</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L23" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="Translate := proc (M, V) options operator, arrow; Matrix(RowDimension(M), 2, proc (i, j) options operator, arrow; M[i, j]+V[j] end proc) end proc:" display="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">QyQ+SSpUcmFuc2xhdGVHNiJmKjYkSSJNR0YlSSJWR0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUtSSdNYXRyaXhHRiU2JS1JLVJvd0RpbWVuc2lvbkdGJTYjOSQiIiNmKjYkSSJpR0YlSSJqR0YlRiVGKkYlLCYmVCQ2JEYzOSUiIiImVCY2I0Y9Rj5GJUYlNiZGKEYzRilGPUYlRiVGJSEiIg==</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L46" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="TranslateTo := proc (M, P) options operator, arrow; Translate(M, P-Row(M, 1)) end proc:" display="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">QyQ+SSxUcmFuc2xhdGVUb0c2ImYqNiRJIk1HRiVJIlBHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJS1JKlRyYW5zbGF0ZUdGJTYkOSQsJjklIiIiLUkkUm93R0YlNiRGMEYzISIiRiVGJUYlRjc=</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L42" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="TranslateToOrigin := proc  options operator, arrow; TranslateTo(M, Vector[row](2, { = 0,  = 0})) end proc:" display="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">QyQ+STJUcmFuc2xhdGVUb09yaWdpbkc2ImYqNiNJIk1HRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJS1JLFRyYW5zbGF0ZVRvR0YlNiQ5JFgqSSlhbnl0aGluZ0clKnByb3RlY3RlZEdGJUYlW2dsISQlISEhIiMiIyIiIUYzRiVGJUYlISIi</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L272" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="MinX := proc  options operator, arrow; min(Column(M, 1)) end proc:" display="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">QyQ+SSVNaW5YRzYiZio2I0kiTUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkkbWluRyUqcHJvdGVjdGVkRzYjLUknQ29sdW1uR0YlNiQ5JCIiIkYlRiVGJSEiIg==</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L281" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="MaxX := proc  options operator, arrow; max(Column(M, 1)) end proc:" display="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">QyQ+SSVNYXhYRzYiZio2I0kiTUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkkbWF4RyUqcHJvdGVjdGVkRzYjLUknQ29sdW1uR0YlNiQ5JCIiIkYlRiVGJSEiIg==</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L283" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="MaxY := proc  options operator, arrow; max(Column(M, 2)) end proc:" display="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">QyQ+SSVNYXhZRzYiZio2I0kiTUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkkbWF4RyUqcHJvdGVjdGVkRzYjLUknQ29sdW1uR0YlNiQ5JCIiI0YlRiVGJSEiIg==</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L276" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="MinY := proc  options operator, arrow; min(Column(M, 2)) end proc:" display="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">QyQ+SSVNaW5ZRzYiZio2I0kiTUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkkbWluRyUqcHJvdGVjdGVkRzYjLUknQ29sdW1uR0YlNiQ5JCIiI0YlRiVGJSEiIg==</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L273" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="Width := proc  options operator, arrow; MaxX(M)-MinX(M) end proc:" display="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">QyQ+SSZXaWR0aEc2ImYqNiNJIk1HRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwmLUklTWF4WEdGJTYjOSQiIiItSSVNaW5YR0YlRi8hIiJGJUYlRiVGNA==</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L274" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="Height := proc  options operator, arrow; MaxY(M)-MinY(M) end proc:" display="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">QyQ+SSdIZWlnaHRHNiJmKjYjSSJNR0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUsJi1JJU1heFlHRiU2IzkkIiIiLUklTWluWUdGJUYvISIiRiVGJUYlRjQ=</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L378" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="NumberToString := proc (expr) options operator, arrow; StringTools:-RegSubs("^(-*[0-9]+)(\134\134.0+|(\134\134.[0-9]*[1-9])0+)$" = "\134\1341\134\1343", sprintf("%0.767f", HFloat(evalf(expr)))) end proc:" display="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">QyQ+SS9OdW1iZXJUb1N0cmluZ0c2ImYqNiNJJWV4cHJHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJS1fSSxTdHJpbmdUb29sc0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJUkoUmVnU3Vic0dGJTYkL1FHXigtKlswLTldKykoXFwuMCt8Z3IoXFwuWzAtOV0qWzEtOV0pMCspJEYlUSdcXDFcXDNGJS1JKHNwcmludGZHRi82JFEoJTAuNzY3ZkYlLUknSEZsb2F0R0YwNiMtSSZldmFsZkdGMDYjOSRGJUYlRiUhIiI=</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L294" drawlabel="true" redirect-target="L296"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="SVGPathData := proc  options operator, arrow; cat(seq(sprintf(piecewise(i = 1, "M %s %s", 1 < i, " L %s %s"), NumberToString(M[i, 1]), NumberToString(M[i, 2])), i = 1 .. RowDimension(M))) end proc:" display="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">QyQ+SSxTVkdQYXRoRGF0YUc2ImYqNiNJIk1HRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJS1JJGNhdEclKnByb3RlY3RlZEc2Iy1JJHNlcUdGLjYkLUkoc3ByaW50Zkc2JEYuSShfc3lzbGliR0YlNiUtSSpwaWVjZXdpc2VHRi42Ji9JImlHRiUiIiJRKE1+JXN+JXNGJTJGPUY8USl+TH4lc34lc0YlLUkvTnVtYmVyVG9TdHJpbmdHRiU2IyY5JDYkRjxGPS1GQjYjJkZFNiRGPCIiIy9GPDtGPS1JLVJvd0RpbWVuc2lvbkdGJTYjRkVGJUYlRiUhIiI=</Equation></Text-field></Input><Output><Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field></Output></Group><Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L296" drawlabel="true" redirect-source="L294"><Input><Text-field prompt="> " style="Maple Input" layout="Normal">print(<Label label="L294" view="label" executable="true"></Label>); # input placeholder</Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L308" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Heading 1" spacebelow="0" spaceabove="0"><Equation executable="true" style="2D Input" input-equation="SVGDocument := proc  options operator, arrow; XMLDocument(XMLElement("svg", ["xmlns" = "http://www.w3.org/2000/svg", "height" = NumberToString(Height(M)), "width" = NumberToString(Width(M))], XMLElement("path", ["fill" = "none", "stroke" = "black", "stroke-width" = "1", "d" = SVGPathData(M)]))) end proc:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JVEsU1ZHRG9jdW1lbnRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRIk1GJ0YvRjIvJStleGVjdXRhYmxlR0Y9RjlGOS1GNjYtUSgmc3JhcnI7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZORmduLUYsNiVRLFhNTERvY3VtZW50RidGL0YyLUZQNiQtRiM2JS1GLDYlUStYTUxFbGVtZW50RidGL0YyLUZQNiQtRiM2Ki1GLDYjUSFGJy1JI21zR0YkNiNRJHN2Z0YnLUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkhGZm4vRk5RLDAuMzMzMzMzM2VtRictRlA2Ji1GIzYxRmdvLUZbcDYjUSZ4bWxuc0YnLUY2Ni1RIj1GJ0Y5RjtGPkZARkJGREZGRkhGSkZNLUZbcDYjUTtodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2Z0YnRl5wLUZbcDYjUSdoZWlnaHRGJ0ZbcS1GLDYlUS9OdW1iZXJUb1N0cmluZ0YnRi9GMi1GUDYkLUYjNiUtRiw2JVEnSGVpZ2h0RidGL0YyLUZQNiQtRiM2JEZURjlGOUY5RjlGXnAtRltwNiNRJndpZHRoRidGW3FGZHEtRlA2JC1GIzYmLUYsNiVRJldpZHRoRidGL0YyRl5yRmdvRjlGOUY5RjkvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGXnBGYG8tRlA2JC1GIzYnRmdvLUZbcDYjUSVwYXRoRidGXnAtRlA2Ji1GIzY0RmdvLUZbcDYjUSVmaWxsRidGW3EtRltwNiNRJW5vbmVGJ0ZecC1GW3A2I1Enc3Ryb2tlRidGW3EtRltwNiNRJmJsYWNrRidGXnAtRltwNiNRLXN0cm9rZS13aWR0aEYnRltxLUZbcDYjUSIxRidGXnAtRltwNiNRImRGJ0ZbcS1GLDYlUSxTVkdQYXRoRGF0YUYnRi9GMkZeckY5RjlGXHNGX3NGOUY5RjlGOUY5RjktRjY2LVEiOkYnRjlGO0Y+RkBGQkZERkZGSEZKRk1GV0Y5">QyQ+SSxTVkdEb2N1bWVudEc2ImYqNiNJIk1HRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJS1JLFhNTERvY3VtZW50R0YlNiMtSStYTUxFbGVtZW50R0YlNiVRJHN2Z0YlNyUvUSZ4bWxuc0YlUTtodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2Z0YlL1EnaGVpZ2h0RiUtSS9OdW1iZXJUb1N0cmluZ0dGJTYjLUknSGVpZ2h0R0YlNiM5JC9RJndpZHRoRiUtRjo2Iy1JJldpZHRoR0YlRj4tRjA2JFElcGF0aEYlNyYvUSVmaWxsRiVRJW5vbmVGJS9RJ3N0cm9rZUYlUSZibGFja0YlL1Etc3Ryb2tlLXdpZHRoRiVRIjFGJS9RImRGJS1JLFNWR1BhdGhEYXRhR0YlRj5GJUYlRiUhIiI=</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3" drawlabel="true"><Input><Text-field style="Heading 1" layout="Heading 1">Parameters</Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L80" drawlabel="true"><Input><Text-field style="Text" layout="Normal"></Text-field></Input></Group><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L73" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`\316\224\316\270` := 180*((1/180)*Pi):" display="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">QyQ+SS8mRGVsdGE7JnRoZXRhO0c2Ii1JIipHJSpwcm90ZWN0ZWRHNiQiJCE9LCRJI1BpR0YoIyIiIkYqISIi</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L215" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`\316\224t` := 200*ArcLengthFromAngle((1/2)*`\316\224\316\270`):" display="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">QyQ+SSkmRGVsdGE7dEc2IiwkLUkzQXJjTGVuZ3RoRnJvbUFuZ2xlR0YlNiMsJEkvJkRlbHRhOyZ0aGV0YTtHRiUjIiIiIiIjIiQrIyEiIg==</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L101" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="tolerance := 1/8:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEqdG9sZXJhbmNlRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSZtZnJhY0dGJDYoLUkjbW5HRiQ2JFEiMUYnRjktRiM2JS1GUzYkUSI4RidGOUYvRjIvJS5saW5ldGhpY2tuZXNzR0ZVLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmluLyUpYmV2ZWxsZWRHRj0tRjY2LVEiOkYnRjlGO0Y+RkBGQkZERkZGSEZKRk0vJStleGVjdXRhYmxlR0Y9Rjk=">QyQ+SSp0b2xlcmFuY2VHNiIjIiIiIiIpISIi</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L5" drawlabel="true"><Input><Text-field style="Heading 1" layout="Heading 1">Intermediate Calculations</Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L82" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`\316\270__intermediate` := (1/2)*`\316\224\316\270`:" display="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">QyQ+STYmdGhldGE7X19pbnRlcm1lZGlhdGVHNiIsJEkvJkRlbHRhOyZ0aGV0YTtHRiUjIiIiIiIjISIi</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L85" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="t__intermediate := ArcLengthFromAngle(`\316\270__intermediate`):" display="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">QyQ+STB0X19pbnRlcm1lZGlhdGVHNiItSTNBcmNMZW5ndGhGcm9tQW5nbGVHRiU2I0k2JnRoZXRhO19faW50ZXJtZWRpYXRlR0YlISIi</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L88" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="scale := `\316\224t`/(2*t__intermediate):" display="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">QyQ+SSZzY2FsZUc2IiomSSkmRGVsdGE7dEdGJSIiIi1JIi9HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IywkSTB0X19pbnRlcm1lZGlhdGVHRiUiIiNGKCEiIg==</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L98" drawlabel="true"><Input><Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="curve__1 := CalculateCoordinates(0, t__intermediate, scale, tolerance):" display="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">QyQ+SSljdXJ2ZV9fMUc2Ii1JNUNhbGN1bGF0ZUNvb3JkaW5hdGVzR0YlNiYiIiFJMHRfX2ludGVybWVkaWF0ZUdGJUkmc2NhbGVHRiVJKnRvbGVyYW5jZUdGJSEiIg==</Equation></Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L108" drawlabel="true" redirect-target="L110"><Input><Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="P__intermediate := scale*Cornu(t__intermediate):" display="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">QyQ+STBQX19pbnRlcm1lZGlhdGVHNiIqJkkmc2NhbGVHRiUiIiItSSZDb3JudUdGJTYjSTB0X19pbnRlcm1lZGlhdGVHRiVGKCEiIg==</Equation></Text-field></Input><Output><Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field></Output></Group><Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L110" drawlabel="true" redirect-source="L108"><Input><Text-field prompt="> " style="Maple Input" layout="Normal">%;</Text-field></Input></Group></Presentation-Block><Presentation-Block><Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L114" drawlabel="true" redirect-target="L129"><Input><Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">QyQ+SSljdXJ2ZV9fMkc2Ii1JLFRyYW5zbGF0ZVRvR0YlNiQtSSdSb3RhdGVHRiU2JC1JMlRyYW5zbGF0ZVRvT3JpZ2luR0YlNiMtSTBkZWxheURvdFByb2R1Y3RHNiQlKnByb3RlY3RlZEcvSSttb2R1bGVuYW1lR0YlSSxUeXBlc2V0dGluZ0c2JEYySShfc3lzbGliR0YlNiUtSSxSZXZlcnNlUm93c0dGJTYjSSljdXJ2ZV9fMUdGJS1JJ01hdHJpeEdGNjYjL0kkJWlkR0YlIjUpejRxeHVTdVklPUkldHJ1ZUdGMiwkSTYmdGhldGE7X19pbnRlcm1lZGlhdGVHRiUiIiNJMFBfX2ludGVybWVkaWF0ZUdGJSEiIg==</Equation></Text-field></Input><Output><Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field></Output></Group><Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L129" 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paulrivera · April 16, 2015

I counted 61 stops for the local. I read somewhere that the boards have 64 lights (not sure) so I guess there would be just enough lights. They might as well add them in if they ever replace those maps (seriously some of them are brown now)

They already replaced most if not all of the (4) maps, for all we know there might be new maps for the rest of the lines on the way...

trainfanrod · April 16, 2015

SO the (3) line getting a facelift but they cant seem to fix the smelly CHambers St (J) and 59st-Lexington (4) (5) (6) like they want to repair the wrong stations, that dont need immediate help the (J) is one of the worst looking smelling stations ins the whole system.

Now that Van Sicklen and Rockaway is closed until Septmeber its going to be a crazy hot summer because all them ppl at vAN Sicklen either gonna go to New lots ave or Pennsylvania Ave and we have our own crowd coming off Starett and Pink houses buses

Edited April 16, 2015 by trainfanrod

trainfan22 · April 16, 2015

SO the line getting a facelift but they cant seem to fix the smelly CHambers St and 59st-Lexington like they want to repair the wrong stations, that dont need immediate help the is one of the worst looking smelling stations ins the whole system.

Now that Van Sicklen and Rockaway is closed until Septmeber its going to be a crazy hot summer because all them ppl at vAN Sicklen either gonna go to New lots ave or Pennsylvania Ave and we have our own crowd coming off Starett and Pink houses buses

59th-Lex already got an rehab.

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