Skip to content

Commit 95ca6c6

Browse files
committedOct 18, 2019
links and quotes are now beautiful just like you, various typos fixed and many small QoF improvements
1 parent 541d667 commit 95ca6c6

8 files changed

+46
-59
lines changed
 

‎_posts/2017-04-06-engineering-in-india.markdown

+1
Original file line numberDiff line numberDiff line change
@@ -11,6 +11,7 @@ mathjax: true
1111
p {
1212
text-align: justify;
1313
}
14+
1415
</style>
1516

1617
Let’s analyze the examination results which came out for me last week. In a particular subject (*no, I won’t tell ya*) this was the situation.

‎_posts/2017-04-28-triangulation-primer.markdown

+1
Original file line numberDiff line numberDiff line change
@@ -15,6 +15,7 @@ jsarr:
1515
p {
1616
text-align: justify;
1717
}
18+
1819
</style>
1920

2021
<!-- End -->

‎_posts/2017-09-04-Research-at-IIIT-BH.md

+1
Original file line numberDiff line numberDiff line change
@@ -11,6 +11,7 @@ mathjax: true
1111
p {
1212
text-align: justify;
1313
}
14+
1415
</style>
1516

1617
Okay, I'll be straight and frank.

‎_posts/2018-01-01-geometry-lagrange-multiplier.md

+8-6
Original file line numberDiff line numberDiff line change
@@ -17,6 +17,8 @@ mathjax: true
1717
p {
1818
text-align: justify;
1919
}
20+
21+
2022
</style>
2123

2224
The Lagrangian Multipliers is an important strategy in mathematical optimization to find the local maxima or minima of a function subject to equality constraints.
@@ -68,7 +70,7 @@ The point of intersection of the ellipse and the riverbed curve $f(x,y)$. They h
6870

6971
A lot of interesting stuff happens here at the interection point. First, you can easily verify that both the curves have a common tangent equations. Nice. Next, the point has two normals acting on it, in the opposite directions. This is what we care about.
7072

71-
<font color="blue">Normals.</font>
73+
<font color="red">Normals.</font>
7274

7375
Let's focus on normals. As we know the normal is given by the gradient of the curve, (since the gradient of a function is perpendicular to the contour lines)
7476

@@ -78,14 +80,14 @@ and,
7880

7981
$$ \nabla_{x,y} f = \Bigl( \frac{\partial{f}}{\partial{x}}, \frac{\partial{f}}{\partial{y}} \Bigr) $$
8082

81-
So, we never know whether these normal are balanced. It depends on the curve and elipse equations. Thus we introduce a scalar, non-zero constant, <font color='blue'> $\lambda$ </font> (to balance the point of interection, where the maxima or minima lies).
83+
So, we never know whether these normal are balanced. It depends on the curve and elipse equations. Thus we introduce a scalar, non-zero constant, <font color='red'> $\lambda$ </font> (to balance the point of interection, where the maxima or minima lies).
8284
<center>
8385
<div class="boxx">
8486
$$ \nabla_{x,y} f = \lambda \nabla_{x,y} g $$
8587
</div>
8688
</center>
8789

88-
This constant is called the <font color='blue'>Lagrange multiplier.</font>
90+
This constant is called the <font color='red'>Lagrange multiplier.</font>
8991

9092
We continue solving this equation,
9193

@@ -97,7 +99,7 @@ $$ \nabla_{x,y} f - \lambda \nabla_{x,y} g = 0$$
9799

98100
Note, setting $\lambda = 0$ is a solution if $f(x,y)$ is at the level (horizontal) regardless of $g(x,y)$.
99101

100-
Let us define another function $\mathscr{L}(x,y,\lambda) \equiv f(x,y) + \lambda g(x,y)$ to include all the conditions into one equation and solve for $\nabla_{x,y,\lambda}\mathscr{L}(x,y,\lambda) = 0.$ [ this function is also called the <font color="blue">Lagrangian Function</font>, also note that $\lambda$ can be positive or negative ]
102+
Let us define another function $\mathscr{L}(x,y,\lambda) \equiv f(x,y) + \lambda g(x,y)$ to include all the conditions into one equation and solve for $\nabla_{x,y,\lambda}\mathscr{L}(x,y,\lambda) = 0.$ [ this function is also called the <font color="red">Lagrangian Function</font>, also note that $\lambda$ can be positive or negative ]
101103

102104
As there are three unknowns, $x,y$ and $\lambda$, would need to solve three equations.
103105

@@ -214,9 +216,9 @@ $$\nabla_{\lambda} \mathscr{L} = 0 $$
214216

215217
<hr>
216218

217-
References include <font color="blue">my father's lecture notes on numerical methods and FEM at NITC (riverbed) </font>, <a href="https://en.wikipedia.org/wiki/Lagrange_multiplier">Wikipedia</a>, <a href="https://math.stackexchange.com">math.stackexchange</a>, <a href="https://www.microsoft.com/en-us/research/people/cmbishop/">Pattern Recognition and Machine Learning, Bishop</a> and <a href="https://ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007/video-lectures/lecture-13-lagrange-multipliers/">MIT OWC Multivariable Calculus. (necklace intuition)</a>
219+
References include my father's lecture notes on numerical methods and FEM at NITC (riverbed), <a href="https://en.wikipedia.org/wiki/Lagrange_multiplier">Wikipedia</a>, <a href="https://math.stackexchange.com">math.stackexchange</a>, <a href="https://www.microsoft.com/en-us/research/people/cmbishop/">Pattern Recognition and Machine Learning, Bishop</a> and <a href="https://ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007/video-lectures/lecture-13-lagrange-multipliers/">MIT OWC Multivariable Calculus. (necklace intuition)</a>
218220

219-
All images are mine and are licensed under CC-BY-4.0. Softwares used include MATLAB, OSX Grapher, Preview.app and Adobe illustrator.
221+
All images are mine and are licensed under CC-BY-4.0. Softwares used include MATLAB, OSX Grapher and Adobe Illustrator.
220222
<hr>
221223

222224
I hope you had as much fun reading than I had writing this up!

‎_posts/2018-01-26-Head-Fakes.md

+1-2
Original file line numberDiff line numberDiff line change
@@ -11,9 +11,8 @@ mathjax: true
1111
p {
1212
text-align: justify;
1313
}
14-
</style>
1514

16-
<style>
15+
1716
.boxx {
1817
border: 1px solid black;
1918
width: 400px;

‎_posts/2018-03-09-school-resolution.md

+1-42
Original file line numberDiff line numberDiff line change
@@ -50,7 +50,7 @@ I needed to try and create some intuition of genetic engineering. I went with CR
5050
My CRISPR slide.</div>
5151
</div>
5252

53-
**Observations:** Visualizing protein structure using AR would be pretty cool. <sup><a href="#first">1</a></sup>
53+
**Observations:** Visualizing protein structure using AR would be pretty cool.
5454

5555
---
5656

@@ -130,48 +130,7 @@ Enter the SpaceX Slide which brielfy taught about
130130
Explaining this kids a simple contraint problem! Copyrights: (NAE Bridge/Lars Blackmore/SpaceX) </div>
131131
</div>
132132

133-
### Sorcery.
134133
---
135-
<div class="imgcap">
136-
<img src="/assets/school/me.png" width="50%">
137-
<div class="thecap" style="text-align:center">
138-
When you allow kids to draw on your photo. Sorcery!</div>
139-
</div>
140-
141-
haha, someone started writing the formular for angular velocity!!?, someone drew horns, someone a hat, someone gave me muscles!, I have no clue what that red thing is on the chair!
142-
143-
The best feeling I got is when someone wrote "come again!".
144-
145-
146-
I will!
147-
148-
<hr>
149-
150-
151-
#### EDITS + UPDATES
152-
<div id="first">
153-
154-
<b>1:</b>
155-
156-
I tried to visualize a DNA strand using Vuforia and Unity and results are great! The only bad review from kids was the 3D model which I had freely downloaded. :(
157-
158-
I hope I'll try to make my own blender, perhaps model and open source this!
159-
<br>
160-
<br>
161-
162-
<div class="imgcap">
163-
<img src="/assets/school/dna-ar.png" style="border:border:1px solid #021a40; width:100%; height: 40%">
164-
<div class="thecap" style="text-align:center">
165-
DNA AR Model using Vuforia and Unity</div>
166-
</div>
167-
</div>
168-
169-
170-
---
171-
172-
More references.
173-
174-
Spring Valley School for allowing me to do this, Wikipedia, Nat and Friends, Google Search,
175134

176135
This was a fantastic experience in my life and I totally suggest you to try teaching at random schools. It's so much fun!
177136

‎_posts/2019-09-10-Visions.md

+1-1
Original file line numberDiff line numberDiff line change
@@ -14,7 +14,7 @@ p {
1414

1515
</style>
1616

17-
**Note:** This is [a comment I wrote on Reddit](https://www.reddit.com/r/Indian_Academia/comments/cqttnh/best_skillset_to_invest_in_now/ewzmozd/). As I'm right now going extremely slow on an original, quality post -- I hope this will suffice the need reading something new in my blog.
17+
**Note:** This is [a comment I wrote on Reddit](https://www.reddit.com/r/Indian_Academia/comments/cqttnh/best_skillset_to_invest_in_now/ewzmozd/) as right now I'm going extremely slow on an original, quality post -- I hope this will suffice the need to read something new in my blog. I expect the new post to be out around December last week.
1818

1919
---
2020

‎css/main.css

+32-8
Original file line numberDiff line numberDiff line change
@@ -81,9 +81,25 @@ body {
8181

8282
h1, h2, h3, h4, h5, h6 { font-size: 100%; font-weight: 400; }
8383

84-
a { color: #6c34ef; text-decoration: none; }
85-
a:hover { color: #000; text-decoration: underline; }
86-
a:visited { color: #C0C0C0; }
84+
a {
85+
color: #6c34ef;
86+
text-decoration: none;
87+
-o-transition:.5s;
88+
-ms-transition:.5s;
89+
-moz-transition:.5s;
90+
-webkit-transition:.5s;
91+
92+
transition:.3s;
93+
94+
95+
}
96+
a:hover {
97+
color: #6c34ef;
98+
text-decoration: underline;
99+
opacity: 0.5;
100+
101+
}
102+
/*a:visited { color: #AEB6BF; }*/
87103

88104
/* Utility */
89105
hr {
@@ -299,15 +315,23 @@ hr {
299315
}
300316

301317
.post-content blockquote {
302-
border-left: 4px solid #000000;
303-
border-right: 4px solid #000000;
304-
padding-left: 20px;
305-
padding-right: 20px;
318+
/*border-left: 4px solid #000000;*/
319+
/*border-right: 4px solid #000000;*/
320+
/*border-top: 2px solid #000000;
321+
border-bottom: 2px solid #000000;*/
322+
padding-left: 7px;
323+
padding-right: 7px;
324+
padding-top: 7px;
325+
padding-bottom: 7px;
306326
font-size: 18px;
327+
border: solid 2px;
328+
box-shadow: 7px 7px 0 0 #6c34ef;
329+
307330
opacity: 1;
308331
color: #6c34ef;
332+
309333
font-family: inherit;
310-
font-style: bold;
334+
font-style: italic;
311335
margin: 30px 0;
312336
}
313337

0 commit comments

Comments
 (0)
Please sign in to comment.