u/Appie-Fixo-8010

What industry roles involve substantial use of combinatorics, discrete mathematics, graph theory and advanced problem-solving?

For those working in such roles:

What are the relevant job titles?

What types of problems do you typically work on?

How much mathematics is involved in your day-to-day work?

How much of the role consists of programming or software engineering?

What skills and educational background are typically required?

What is the day-to-day work experience like?

Which industries or companies tend to have these types of roles?

I'd particularly appreciate responses from people with direct industry experience.

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Hi everyone,

I recently qualified for the iCAT exam conducted by Internship Studio (IStudio), and they are now asking me to pay ₹880 to proceed with the internship.

They told me that this amount will be refunded after successfully completing the internship.

Before paying, I wanted to ask:

- Has anyone here actually done an internship through Internship Studio/IStudio?

- Is the organization and internship genuine?

- Did you actually receive the ₹880 refund after completing the internship?

- Is the internship useful/worth putting on a CV, or is it mainly a certificate/payment-based program?

- Are there any hidden charges later?

I would really appreciate responses from people who have personally gone through the program, especially those who completed the internship.

Thanks!

I’ve noticed that I often struggle against very aggressive, tactical players in chess. I’m curious about the opposite side of the game: strong positional play, prophylaxis, maneuvering, and slowly improving a position.

Which players would you recommend studying to develop this style? Are there particular games, game collections, or classic examples that teach how to neutralize attacking players through positional understanding rather than direct tactical battles?

I’d especially appreciate recommendations for players whose games demonstrate:

• Restricting the opponent’s counterplay
• Improving pieces step by step
• Prophylactic thinking
• Converting small advantages patiently

Any suggestions for annotated game collections, YouTube playlists, or specific games would also be very welcome.

I'm trying to compile a list of university-specific or highly selective entrance examinations from around the world.

For example:

* **India:** JEE Advanced (IITs), ISI Admission Test, CMI Entrance Exam * **UK:** Oxford MAT, STEP (used by Cambridge and sometimes other universities), TMUA * **France:** Concours for the Grandes Écoles * **Japan:** University-specific entrance exams after the Common Test

I'm especially interested in exams that:

* Are known for being exceptionally challenging. * Test mathematical or scientific problem-solving rather than just memorization. * Are required or heavily used for admission to elite universities or specialized institutes. * May not be widely known outside their own countries.

I'd love to learn about exams from countries like Germany, China, South Korea, Singapore, Russia, Israel, the US, Canada, Australia, and anywhere else.

Please mention:

1. The country.
2. The name of the entrance exam.
3. Which universities or institutes use it.

Hi everyone,

I'm trying to understand a few key combinations in my chart from both a classical Parāśari and Jaimini perspective.

D1 (Rāśi):

• Gemini Lagna
• Ketu in the 5th house (Libra)
• 5th lord Venus placed in the Lagna (Gemini)
• Venus is conjunct Moon and Saturn.
• Mars, Mercury, and Jupiter are conjunct in the 3rd house (Leo).

Planetary strengths (JHora):

• Venus has good Vimsopaka Bala (around 80%+) and good Shadbala.
• Mercury is my strongest planet by Shadbala.
• Mars has adequate Shadbala but very low Ishta Phala and high Kashta Phala.
• Ketu has relatively lower Vimsopaka strength.

D9 (Navāṁśa):

• Atmakaraka: Saturn
• Karakāṁśa: Taurus
• 12th from Karakāṁśa: Aries (lord Mars)

I've often read that Ketu in the 5th can indicate unconventional intelligence, detachment from 5th-house matters, interest in spirituality or research, and non-linear education. At the same time, many astrologers say the results depend heavily on the 5th lord, and in my case Venus is in the Lagna and appears reasonably strong.

My questions are:

1. How much does a strong 5th lord in the Lagna mitigate or modify Ketu's effects in the 5th?
2. How would you interpret this combination for:
   • intelligence and learning,
   • higher education,
   • creativity,
   • mantra/spiritual inclination,
   • career potential?
3. Does the Navāṁśa placement or Karakāṁśa add anything significant to this interpretation?
4. Are there any classical references (BPHS, Jaimini, Phaladeepika, Saravali, etc.) discussing this combination?

I'd really appreciate insights based on traditional principles rather than generic interpretations.

Thank you!

I'm looking for highly instructive chess games where one player starts with a clearly inferior or strategically unpleasant position, but instead of relying on a tactical blunder or a cheap trick, they gradually improve their position move by move until they equalize or even win.

I'm specifically trying to learn how to improve bad positions, so I'm looking for games that demonstrate ideas such as:

• Improving the worst-placed piece.
• Finding useful waiting/improving moves instead of forcing tactics.
• Defending patiently and neutralizing the opponent's advantages.
• Creating counterplay from an inferior position.
• Turning a cramped or passive position into an active one.

I'm not looking for games decided by a single tactical combination or a one-move blunder. I'm much more interested in the strategic process and the sequence of improving decisions.

If possible, could you recommend:

• Classic master games (Capablanca, Karpov, Petrosian, Kramnik, Carlsen, etc.).
• Annotated games or books/videos explaining why each improving move was played.
• Games that you found particularly educational for learning positional play.

I've been learning probability and measure theory, and while I understand the formal definition of a σ-algebra, I'm struggling to understand the intuition behind why it is defined that way.

I'm not looking for the mathematical definition itself, but rather the reasoning and intuition behind it.

Some of the questions I have are:

- Why must a σ-algebra be closed under countable unions? Why countable instead of arbitrary unions?

- Is there a similar requirement for intersections? I might be mistaken, but I'm confused about why intersections seem to work differently.

- What is the intuition behind requiring complements?

- How did mathematicians arrive at these particular axioms? What problem were they trying to solve?

- How is a σ-algebra fundamentally different from a topology? They both seem to involve collections of subsets that satisfy closure properties, so what's the conceptual difference?

I'd really appreciate an explanation using a very simple example (like coins, dice, colored balls, or a small finite set) before moving to more abstract examples. If possible, I'd also love a real-world analogy or scenario that builds intuition for why σ-algebras are defined this way.

My goal is to understand why these axioms make sense, not just memorize them.

I understand why SQL is important for placements, and I've already studied SQL and PL/SQL in college. During interviews, companies usually ask SQL queries involving joins, subqueries, window functions, aggregations, and other common topics.

However, I'm curious about what happens after getting a job.

For software engineers, data engineers, backend developers, or other tech roles:

How is SQL actually used in day-to-day work?

What kinds of SQL queries do you write in a real project?

Is it mostly CRUD operations, or do you regularly write complex queries with CTEs, window functions, stored procedures, triggers, and query optimization?

How much database design and performance tuning is expected from a fresher?

Which SQL concepts should I focus on if I want to be productive in an actual job rather than just clear placement interviews?

I'd appreciate examples from your own work experience.