Quite a dramatic mixture of events for a day it is, I tell you.

There was Mary Poppins. Supercalifragilisticexpialidocious. Uncle-neice time. A happy mail to Lipsa.

Then mom calls. A silent wish from sister to get out of her house as her in laws are coming, and the house can’t hold everyone together.

The conversation with mom goes this way:

Mom: Did you get tickets for tomorrow?

Me: No. There’s no ticket for today, tomorrow or day after tomorrow.

Mom: Why don’t you try for today?

Me: No tickets.

Mom: Why not today?

Me: No tickets.

Mom: Then?

Me: Let me see. There are tickets on Monday. I’ll come somehow.

Mom: Why don’t you come stay here two more days? Come on Saturday.

Me: No, amma, no ticket! (attempt not to lose my temper is evidently there)

(sister interupts and gets phone from me, gives it back to me)

Mom: Did you try for tickets on Sunday?

Me: It’s not there.

Mom: Then try for today!

Me: There’s no ticket today!

Mom: You should have booked last week itself!

Me: I was unsure when I will have to meet sir again. I thought I’ll book after that.

Mom: Sure there’s no ticket today?

(grunts)

Mom: Come two days before Monday!

Me: That’s Saturday, and that day is also called tomorrow, and there’s no ticket, and I HAVE BEEN SAYING THAT FOR PAST 15MINUTES NOW!

Me: There’s none, not today, not tomorrow, and not day after tomorrow. I don’t know what else to say! (all anger aside, as calm as I can, because I knew anger is not helping)

Mom: I hate your attitude these days. Learn to speak nicely.

(silence)

I will speak only when you are done shouting!

(silence again)

Done?

Me: I didn’t say a word.

Mom: (more silence)

Shout at me all that you want.

Me: I still didn’t say a word. Are you not well?

Mom: Yes. Bad cold for two days. Is there ticket for tomorrow?

Me: (having lost hope, calmly) Amma, there’s no ticket.

(carefully diverts conversation to something else.)

Well, all that half n hour of phone conversation could have cut short in two simple lines,

“Did you get tickets for tomorrow?”

“No – there’s none available today, tomorrow or day after tomorrow.”

which had actually happened right at the beginning of the conversation.

The phone rings again. It’s mom again.

“They say my phone won’t work until recharge?”

“Ok, I will, it’s plan voucher. Not recharge.”

“You need the debit card number?”

“No, I can manage without it!”

(cuts the call)

Phone rings again.

“Here’s the card details”

“I don’t need it, amma!”

“Then how will you recharge?”

“It’s saved online”

“Still I will tell you the number.”

“I don’t need it. Just wait for sometime!”

Phone rings again.

And again.

And again.

Test of patience. Successfully managed to not express the frustration to anyone.

Neice wakes up. I went near her and she screams telling me to move away. Silently walks away, she might not not-express her anger like me.

Phone rings again.

I figure out how to fix the plan voucher thing. Fixed. Phone rings again to tell me it’s fixed now. Shuts down my laptop.

Phone rings again. This time, it’s Christy.

Christy: Da, NET results are out.

Me: Going with the flow of the day, I think I already know the results.

Christy: What is it?

Me: Still, let me check it once before confirming.

Laptop booting up, and just as I expected, my roll number is not there among qualified candidates. I was reminded of Danielle, who had written an exam a week before mine, and results came last week that she did not clear it. Both of us were pretty confident about the results, that we will clear it, and both seemed to have failed.

(text)

Me: Not there.

Christy: Aiyyo!

Me: I’d be gone form visible world for few days.

(throws phone away)

Few seconds later, I find myself wondering the same. At least I’ve got this blog to  vent worries of my heart.

I think I’ll just get out of the house and walk down until I get lost.

And try saying “Supercalifragilisticexpialidocious”.

Bis bald.

## Quote #0: Sylvia Plath

Sounds like “Jack of all trades, master of none!” Loved the quote!

“Perhaps when we find ourselves wanting everything, it is because we are dangerously close to wanting nothing.” -Sylvia Plath

Or mathematically put, $lim_{x\to\infty}d(x,0)=0$

## The Philosopher’s Stone

One day, a philosopher found a beautiful stone. He wondered what to do with it, and after contemplating for a long time on possible ways the stone may entertain him, he decided to try throw it up and throw it down at the same time.

That was a saisfying meal for him as a philosopher, I tell you.

(…and I’m clearly bored, you might have noticed it already!)

## Rikki-tikka-tavi

(This is my reply to Tikka’s marriage invitation, one of the most happening woman I’ve seen back there in Pondy)

​Ola,

I’m here in Chennai, but unfortunately in a deadlock!

I wonder why August 28th is a good day to get married, because my cousin, a classmate from PU and you are getting married on the same day and unfortunately I’m going to miss all three! Smeh.

Quite a lot happening around me (this time they are happening by themselves, and I’m not making them happen) and that gives me a lot of possibilities to dramatically excuse myself from anything that comes on my way. After all, we all live everyday just to put up a new and exciting drama, don’t you think so?

Plus a fever I caught from somewhere between Tambaram and Kodambakkam to add to the flavour.

Plus the crane’s about to deliver a child to my sister – that’s the cherry on top. She’ll manage the crane, but I’m in charge of Amazon that will deliver other things while she’s in hospital and the elder one, Alana. Waiting for delivery message from both crane and Amazon now, we will get it all hopefully in a day or two.

See, I sound a lot saner now right?

Anyway, back to you! Get happy and get married for life! Plant good guava tree in your field, you can always trust a guava more than apples! Plus, I like guava better than apples!;-)

Oh, and don’t forget to panic a bit about wedding arrangements! Do some drama (the happy drama) to make that day kinda happening beyond everyone’s expectation!

May be the Oppa Tikka style!

With Love,

A fever flavoured cake with a lot of mess to sort and a cherry on top.

Correction: Grace says storks give babies and not cranes. Whatever. The rest is still from Amazon, I’m pretty sure about it.

## Hello World (Again!)

And I decided to start writing (again)!

The other day Pavi proved that I’m highly (or as she dramatically put it, “very very highly”) impulsive with her crazy line-circle-painting practical test. She also told me I’ve got a lot of ‘p’-something skill too. Well, back then I believed anything high is good, very high is very good, and I felt like a very very rich man after talking to her!

I don’t think anything else better explains why I deleted my last personal blog and I regretted it the very next day.

Here I am almost a year later, back blogging.

There will be the same old senselessness, and fact that I may be working for a while hopefully starting next week, you can also expect few mlanathafied (depressing) posts out of work-stress. I’d be meeting a lot of new people, and a few old people at a different level – it’s equally exciting and scary!

Let’s see how long this blog survives.

Bis bald. (Showing off my German skills)

## ODE Cheat Sheet: Few Relevant Definitions

It’s been a while since I wrote here, and this is an attempt to resurrect the blog, and get inspiration to contribute something for Wikibooks as well.

This is a part of the book “Ordinary Differential Equations: Cheat Sheet” that I am compiling in Wikibooks, and it will be published in five instalments before/along with finalising the book in Wikibooks. And just like Examples and Counter Examples Series (Which again I am planning to compile in Wikibooks), this will also be edited as I learn.

## Wronskian of Two Functions

### Definition

Wronskian of two functions, $y_1,y_2$ is given by $W_{y_1,y_2}(x)=\left|\begin{matrix} y_1 && y_2 \\ y_1' && y_2'\end{matrix}\right|$

### Useful Facts

If two functions $y_1,y_2$ are linearly dependent in an interval, then it’s Wronskian vanishes in that interval.

## Laplace Transforms

### Definition

$\mathcal{L}\{f(t)\}=F(s)=\int_0^\infty e^{-st}f(t)dt$

### Properties

1. $\mathcal{L}\{af + bg\} = a \mathcal{L}\{f\} + b \mathcal{L}\{g\}\,,$
2. $\mathcal{L}\{e^{at} f(t)\}(s) = F(s - a)\,$ for $s > \alpha + a$.
3. If $F(s) = \mathcal{L}\{f(t)\}$, then $\mathcal{L}\{f'(t)\} = sF(s) - f(0)$
4. Similarly, $\mathcal{L}\{f''(t)\} = s^2F(s) - sf(0) - f''(0)$

### Laplace Transform of Few Simple Functions

1. $\mathcal{L}\{1\} = {1 \over s}$
2. $\mathcal{L}\{e^{at}\} = {1 \over s-a}$
3. $\mathcal{L}\{\cos \omega t\} = {s \over s^2 + \omega^2}$
4. $\mathcal{L}\{\sin \omega t\} = {\omega \over s^2 + \omega^2}$
5. $\mathcal{L}\{1\} = {1 \over s}$
6. $\mathcal{L}\{t^n\} = {n! \over s^{n+1}}$

## Convolution

### Definition

$f(t)*g(t)=\int_0^t f(u)g(t-u)dt$

1. Associative
2. Commutative

## Examples and Counter Examples for Abelian Groups

Note: This is the first of “Examples and Counter Examples” series. I plan on expanding such posts in course of time, as I come across examples.

Interesting fact: These are the OEIS lists of number of distinct groups of order n: number of groups,number of abelian groups, number of non-abelian groups

### Examples

1. $\Bbb Z$
2. $\Bbb Q$
3. $\Bbb R$
4. Integers modulo n $\Bbb Z / n \Bbb Z$
5. $S_n,n\le2$, the symmetric group.
6. $A_n \subset S_n,\forall n\ge1$
7. Any group of order < 4

### Counter-Examples (or Non-Abelian Groups)

1. Symmetric groups $S_n,n\ge3$

## New kid in the block

Welcome the new kid in the block.

Almost two and a half years ago I kicked off my first WordPress blog Far Far Away, an attempt to showcase and improve my writing skills, and thankfully it was decently received in its first year before I got lazy and stopped writing regularly.

Off late I have been fascinated by the idea of “maths blogging” which is expected to improve my maths writing skills, and help me improve my skills in communicating mathematics. Thankfully WordPress.com supports $LaTeX$ (\LaTeX fails to render though).

For the record, this is my sixth or seventh blog, and second to hopefully survive my wrath and an attempt to learn writing maths. I am a maths post graduate.

I have also transferred my following tech posts from Far Far Away, an attempt to make that blog more focussed on non-maths, non-tech content:

I hope I will be able to be able to post more frequently after December 20th. Since then, I plan on at least one post a week.

The content will be mostly about (and not restricted to),