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April 24, 2022
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How to use Latex on Blogspot.

How to use Latex on Blogspot.

May 19, 2021
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Fermat's Last Theorem

Fermat's Last Theorem

Number Theory - March 17, 2021
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Show that X is Hausdorff if and only if the diagonal $\Delta$= {x $\times$ x : x$\in$ X} is closed in X $\times$ X.

Show that X is Hausdorff if and only if the diagonal $\Delta$= {x $\times$ x : x$\in$ X} is closed in X $\times$ X.

Topology - February 28, 2021
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Find the integral surface of $2y(z-3)p+(2x-z)q=y(2x-3)$ which passes through the circle $x^{2}+y^{2}=2x,z=0$ .

Find the integral surface of $2y(z-3)p+(2x-z)q=y(2x-3)$ which passes through the circle $x^{2}+y^{2}=2x,z=0$ .

PDE - February 28, 2021
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Find the general integral of the pde $(y+x+u)u_{x}+(z+x+u)u_{y}$ $+(x+y+u)u_{z}=x+y+z$

Find the general integral of the pde $(y+x+u)u_{x}+(z+x+u)u_{y}$ $+(x+y+u)u_{z}=x+y+z$

differential equation - February 28, 2021
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Verify that Pfaffian differential equation yzdx +($x^{2}$y-zx)dy +($x^{2}$z-xy)dz is integrable and find the corresponding integral.

Verify that Pfaffian differential equation yzdx +($x^{2}$y-zx)dy +($x^{2}$z-xy)dz is integrable and find the corresponding integral.

PDE - February 28, 2021
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A letter is taken out at random from “ASSISTANT” and another is taken out from “STATISTICS”. The probability that they are the same letters is?

A letter is taken out at random from “ASSISTANT” and another is taken out from “STATISTICS”. The probability that they are the same letters is?

Probability - February 26, 2021
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‘A’ speaks truth in 75% cases and ‘B’ in 80% of the cases. In what percentage of cases are they likely to contradict each other narrating the same incident?

‘A’ speaks truth in 75% cases and ‘B’ in 80% of the cases. In what percentage of cases are they likely to contradict each other narrating the same incident?

Probability - February 26, 2021
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A card is drawn from an ordinary deck and we are told that it is red. What is the probability that the card is greater than 2 but less than 9?

A card is drawn from an ordinary deck and we are told that it is red. What is the probability that the card is greater than 2 but less than 9?

Probability - February 26, 2021
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A consignment of 15 record players contains 4 defective, the record players are selected at random, one-by-one and examined. Those examined are not replaced. What is the probability that the 9th one examined is last defective?

A consignment of 15 record players contains 4 defective, the record players are selected at random, one-by-one and examined. Those examined are not replaced. What is the probability that the 9th one examined is last defective?

Probability - February 26, 2021
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A company makes 850 parts. Out of which 50 got affected. If 3 parts are selected. What is the probability that the first two are defective and the third is not defective?

A company makes 850 parts. Out of which 50 got affected. If 3 parts are selected. What is the probability that the first two are defective and the third is not defective?

Probability - February 16, 2021
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Book for Topology by James R. Munkres

Book for Topology by James R. Munkres

Topology - January 30, 2021
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