Tag: vectors

JEE coaching and high school learning

One reason I’m not as good at machine learning as I can possibly be is because I suck at linear algebra. I totally completely suck at it. Seven years of usage of R has meant that at least I no longer get spooked out by the very sight of vectors or matrices, and I understand the concept of matrix multiplication (an operator rotating a vector), but I just don’t get linear algebra.

For example, when I see terms such as “singular value decomposition” I almost faint. Multiple repeated attempts at learning the concept have utterly failed. Don’t even get me started on the more complicated stuff – and machine learning is full of them.

My inability to understand linear algebra runs deep, and it’s mainly due to a complete inability to imagine vectors and matrices and matrix operations. As far back as I remember, I have hated matrices and have tried to run away from it.

For a long time, I had placed the blame for this on IIT Madras, whose mathematics department in its infinite wisdom had decided to get its brilliant Graph Theory expert to teach us matrices. Thinking back, though, I remember going in to MA102 (Vectors, Matrices and Differential Equations) already spooked. The rot had set in even earlier – in school.

The problem with class 11 in my school (a fairly high-profile school which was full of studmax characters) was that most people harboured ambitions of going to IIT, and had consequently enrolled themselves in formal coaching “factories”. As a result, these worthies always came to maths, physics and chemistry classes “ahead” of people like me who didn’t go for such classes (I’d decided to chill for a year after a rather hectic class 10 when I’d been under immense pressure to get my school a “centum”).

Because a large majority of the class already knew what was to be taught, teachers had an incentive to slack. Also the fact that most students were studmax had meant that people preferred to mug on their own rather than display their ignorance in class. And so jai happened.

I remember the class when vectors and matrices were introduced (it was in class 11). While I don’t remember too many details, I do remember that a vocal majority already knew about “dot product” and “cross product”. It was similar a few days later when the vocal majority knew matrix multiplication.

And so these concepts were glossed over, and lacking a grounding in fundamentals, I somehow never “got” the concept.

In my year (2000), CBSE decided to change format for its maths examination – everyone had to attempt “Part A” (worth 70 marks) and then had a choice between “Part B” (vectors, matrices, etc.) and “Part C” (introductory statistics). Most science students were expected to opt for Part B (Part C had been introduced for the benefit of commerce students studying maths since they had little to gain from reading about vectors). For me and one other guy from my class, though, it was a rather obvious choice to do Part C.

I remember the invigilator (who was from another school) being positively surprised during my board exam when I mentioned that I was going to attempt Part C instead of Part B. He muttered something to the extent of “isn’t that for commerce students?” but to his credit permitted us to do the paper in whatever way we wanted (I fail to remember why I had to mention to him I was doing Part C – maybe I needed log tables to do that).

Seventeen odd years down the line, I continue to suck at linear algebra and be stud at statistics. And it is all down to the way the two subjects were introduced to me in school (JEE statistics wasn’t up to the same standard as Part C so the school teachers did a great job of teaching that).

Horoscopes and Caesarean Births

The fundamental question is about what needs to be considered as a zero point in a person’s life – conception or delivery. I don’t want to start a debate on abortion here, but just wonder what Indian astrology considers to be the zero point of a person’s life. The answer to this question can determine the effectiveness of Indian astrology, even assuming that it is ok that it hasn’t been recalibrated for a few millenia.

Now my argument here is about the numerous instances in Indian mythology where the child’s future is written down by an astrologer even when it is in its mother’s womb. If an astrologer can tell a child’s future when it is in its mother’s womb, isn’t it an indicator that it is the position of stars at conception that matters more than the position of stars at the time of delivery?

The thing is that no one really knows when a child was conceived. Hence, the time of the child’s delivery is usually used as some sort of a proxy to determine when it was conceived. So basically astrology in its current form has a formula to calculate time of conception based on time of delivery, and so effectively what we have as astrology now is a product of two vectors – one that transposes time of birth to time of conception, and another that translates time of conception to position of stars at conception which then gives rise to the horoscope.

I suppose you can understand that there is obviously one source of error in this – regarding the determination of time of conception at the time of birth – basically no two kids born at the same moment would have been conceived at the same moment, right? So this introduces a fundamental error into Indian astrology.

And as if it were not enough, technology has (as usual) stepped in to hinder religion. The concept of Caesarean section has ended up playing complete havoc with the time-tested formulae of determining time of conception based on time of birth. The concept of Caesarean section has ensured that children need not remain in their mothers’ wombs for a “fixed quota” of time, and there is a very good chance they get released early.

So my argument is that Indian astrology as it stands now is inappropriate for people who were born through Caesarean section, since the error in determination of time of conception is extremely high. Also considering how discontinous things are – there are cases where a half an hour’s change in birth time can completely change a person’s horoscope – the impact of this error is too large to be ignored.

The most common use of astrology in recent times is that horoscope-match is considered by some as a necessary condition for matchmaking. Thinking about it, it is bad (and inaccurate) enough if one of the two parties has been born by Caesarean section. I wonder if it has any impact at all if both parties have been born by Caesarean section!

PS: Back when I was in the arranged scissors market, and my mother was around, this is the argument she would give to people who would demand to see my horoscope in the course of matchmaking. That it didn’t make sense given I was born through Caesarean section.