What were the best parts of your PhD experience?

I am in the second year of my PhD. So far the best part was that I was able to grab NVIDIA Academic hardware grant. The grant is open to any faculty or PhD student researcher at a university or research institute. You can imagine the number of application each year. Before submitting the application I …

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What is the value of ln(x) ln(1−x) dx from 0 to 1? 

I will show you how we engineers solve these integrals. There are multiple methods to approximate these integrals. Here I will use Simpson’s 1/3 rule. First, we need to modify the interval such that the domain of the function is a real number. So, I modified the limit from 0.00000001 to 0.999999999. The approximate answer …

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Why did you switch back to Windows after using Linux?

I switched back to Windows as I had many issues with Linux. I’ve RTX A5000 24GB workstation grade GPU. It doesn’t play nicely with Ubuntu 20.04. The old kernel doesn’t even recognise the correct name of the GPU. The official driver blacks the screen while booting and I’ve to chroot and switch to noveau temporarily. …

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What do I want to do in a PhD in numerical analysis?

The numerical analysis is intensively used in real world engineering. You will learn the techniques to approximate the solution to physical systems often governed by PDEs. Now this field is huge. Here is a list general topics in numerical methods (taken from Wikipedia). Computing values of functions Interpolation, extrapolation, and regression Solving equations and systems …

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Why we need 2nd derivative test for local maxima and minima?

Because the 1st derivative tell you the location of the extreme, it doesn’t tell you whether the extremum is a maxima, minima or a saddle point. Thus you need a 2nd derivative, which tells you the change in the gradient. If the change in the gradient at the extremum is negative, it means the gradient …

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What is the reason that Microsoft does not make an easy-to-use configuration tool for PCs like Linux does with its package manager called ‘apt’?

Well Windows is made differently. dependency conflicts Have ever heard the word dependency conflict in Windows? Obviously not. Windows can’t force the proprietary softwares to disclose the dependency they use, as they may be protected by patents and laws. So, they ask the developers to ship the dependency and store in a specific location of …

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What is the definition of double integral calculus? How can it be used to solve physics and engineering problems? What are some real-life applications of double integral calculus?

We use an integral to obtain the area of the dependent variable along each independent variable. So a n times integral would require n independent variables. We use integrals to calculate the centroid, center of mass, moment of inertia of a body which is very useful in engineering analysis. We also use integrals to solve …

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