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Published: Friday, 24 March 2023 18:17

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ChatGPT

ChatGPT is a revolutionary Genrative AI chat Bot developed by openai.com. GPT stands for "Generative Pre-trained Transformer".

chatGPT link: https://chat.openai.com/chat

You will need to make an account, before you can use it. openai.com has a lot of other tools too, such as

I've a separate section for chatGPT, as looks like it can give answers to all your questions, no matter how badly you phrase it. It's amazing, as to what is causing it to understand questions, and then respond in a human way, not just "matching answers" from it's database.

Here are few basic questions that chatGPT gets totally messed up.

Maths:

1. Simple Geometry question: Given 3 coordinates of a parallelogram, find it's 4 coordinate. Here the trick is that if you solve it in not so smart way, the process may be very long. First you find equations of 2 parallel sides, name . Then you find eqn of 3rd side, and use that to find eqn of 4th side. Then you find intersection of 3rd and 4th side which are not parallel, the solution of which gives you the coordinates. However, simpler solution is to find the midpoint of the parallelogram using 2 of the coordiantes, and then use that midpoint to find other coordiante.

Question: If 3 coordinates of parallelogram as (3,4), (5,7) and (9,0), what's the 4th coordiante?

Answer: chatGPT first uses the complex eqns to determine the solution. It messes up trying to the find the intersection of 2 parallel lines, solves for x as follows (which is total garbage):

3/2 * x - 1/2 = 3/2 * x - 27/2

=> 27/2 - 1/2 = 0

=> x = 2

When you say it's wrong, it tries the midpoint formula and comes up with one possible solution pretty fast. If you ask for other solutions" it says :

"No, there is only one solution for the fourth vertex of the parallelogram given three of its vertices. The fourth vertex is uniquely determined by the geometry of the parallelogram, as it is determined by the intersection of the two diagonals of the parallelogram."

When you confront by saying that the vertices can be in any order, then it comes up with all 3 possible solutions.

Score: PASS

Physics:

1. Simple Charge question: Given 2 equal charges of opposite magnitude (+Q1 and -Q1) in a gravity free environment, and the initial distance between them thrown with some initial velocity, how long will it take for them to collide? For the solution, we just need to solve differential equation for electrostatic force between the two charges, and the resulting acceleration between them, and then solve for distance r=0.