$I_4=\displaystyle\int_{-\pi}^{\pi}\sqrt{\frac{1+\cos{x}}{2}} \, dx $

ok offhand i think what is in the radical is trig identity

but might be better way...]]>

what is this trying to say? N and V could be Noun and verb...]]>

For $n \in \mathbb{N}$ we consider the statistical product model $(X ,(P_{\theta})_{\theta\in\Theta})$ with $X = (0,\infty)^n$, $\Theta = (0,\infty)$ and densities $f_{\theta}(x_i) = \frac{1}{\theta} \textbf{1}_{(0,\theta)}(x_i)$ for all $x_i \in (0,\infty)$, $\theta \in \Theta$. It will be the three estimators $T$, $\tilde{T}$ , $\hat{T}$ : $X \rightarrow \mathbb{R}$, $$T(x)=\frac{2}{n}\sum_{i=1}^nx_i, \ \ \ \tilde{T}(x)=c\cdot \max (x_1,\ldots ,x_n), \ \ \...

Calculate the density - Unbiased estimator for θ]]>

For $n \in \mathbb{N}$ we consider the discrete statistical product model $(X ,(P_{\theta})_{\theta \in\Theta})$ with $X = \mathbb{N}^n$, $\Theta = (0, 1)$ and $p_{\theta}(x_i) = \theta(1 -\theta)^{x_i−1}$

for all $x_i \in \mathbb{N}, \theta \in \Theta$. So $n$ independent, identical experiments are carried out, the outcomes of which are modeled by independent, geometrically distributed random variables with an unknown probability of success $\theta$.

(a) Give the...

Likelihood function]]>

]]>

whose distance form (1,0) is $\sqrt{10}$

and whose distance is from (5.4) is $\sqrt{10}$

ok assume first we convert the info to (2) general eq of a circle

$(x-h)^2+(y-k)^2=r^2$

so we have

$(x-1)^2+(y-0)^2=10$ and $(x-4)^2+(y-4)^2=10$

edit:took out tikz]]>

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Given a triangle $ABC$ such that angles $A,\,B$ and $C$ satisfy $\dfrac{\cos A}{20}+\dfrac{\cos B}{21}+\dfrac{\cos C}{29}=\dfrac{29}{420}$. Prove that $ABC$ is a right-angled triangle.

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Remember to read the POTW submission guidelines to find out how to submit your answers!]]>

ok I tried to find a tikz graph online but most were too involved

basically 2 periods

show only ticks for xy intersections and light dashed lines for Amplitude

no background grid just xy axis

ok founut d this it renders in overleaf but not here

also, transformation is not yet applied

\begin{tikzpicture}[help lines/.style={black!50,very thin}]

\draw[<->,thick] (-4.25,0)--(4.25,0) node

{$x$};

\draw[<->,thick] (0,-4.25)--(0,4.25) node[above] {$y$}...

\draw[<->,thick] (0,-4.25)--(0,4.25) node[above] {$y$}...

-tikz7.8.1 y =3cos(pi x-2)+5]]>

Force User To Define Profile Fields - Allows you to designate profile fields which must be filled in.

Force User To Define Profile Fields]]>

I have no idea how to solve it]]>

]]>

ok this was posted on LinkedIn and sure it has already be answered

but usually these types of problems are resolved by way too many steps

so just wanted to proceed with this without looking at previous attempts

my first reaction was to get a CD but would introduce a bigger problem

however with the exp i presume you could do this by Quadratics and grouping

or is there a better direction?]]>

I found online the following code for a christmas tree in Python :

Code:

```
tree_height = input("Enter the tree height : ")
tree_height = int(tree_height)
spaces = tree_height-1
hashes = 1
stump_spaces = tree_height-1
while tree_height != 0 :
for i in range(spaces):
print(' ', end="")
for i in range(hashes):
print('#', end="")
print()
tree_height -= 1
spaces -= 1
hashes += 2
for i in range(stump_spaces):
print(' ', end="")...
```

ok first reponse is use IBP but can we use $e^u$ where $u=-\dfrac{x^2}{2}$ ot $u=\dfrac{x}{\sqrt{2}}$]]>

IDK what's their purpose. But some of them are badly hard as there are not many examples about it in textbook(In Nepal we can't get the textbook reference that the syllabus is made upon, we can of course get international writers textbook but our syllabus and exam paper is based on Indian author textbooks and we don't get that here in Nepal)

So I was studying about...

Confusions about hopfield neural network solved example!]]>

$y=3\cos(\pi x-2)+5$

ok I think these are the plug ins we use

$Y=A\cos\left[\omega\left(x-\dfrac{x \phi}{\omega} \right)\right]+B $

or

$A\cos\left(\omega x-\phi\right)+B$

$

$

ok just want to see if I have these plug in eq right, different books use different symbols]]>

Evaluate

$\displaystyle\lim_{x\to \infty}\dfrac{e^{3x}-e^{-3x}}{e^{3x}+e^{-3x}}$

sorry i'm clueless with this e stuff]]>

There is very minimum role of GFS master in writing and reading operations..

You can either go through these or just tell me what is the correct answer if you are bored to go through all of these.

1) My try-: https://we.tl/t-DG1QxAFMFJ

2)...

What is the role of GFS master during read and write operations?]]>

The transactions $T_1, T_2,\ldots , T_7$, the database elements $A, B, C, D, E$ and the below multiset are given

Now distribute the twenty elements from $M$ in three different ways so that three different schedules $S_1$, $S_2$ and $S_3$ arise. Also make sure that $S_1$ is a serial schedule, $S_2$ is a conflict serializable schedule, and $S_3$ is a non-conflict serializable schedule. Give the dependency graphs on S2...

How do we distribute the elements into schedules?]]>

Construct a class named Vector that expresses the meaning of the vector of numbers. The initialization function, __init__ will take as a argument a tuple corresponding to the vector. This tuple will be stored in the variable named coord. Also, __init__ will calculate the Euclidean measure of the vector and store it in the variable norm2.

How do we write the tuple as an argument of the function?

Do we write just :

Code:

```
class Vector :
def __init__(self, coord)...
```

]]>

1) I am Computer Engineering student and burnout is really a huge issue for me. I keep getting burn out(IDK the exact word for this tbh). I feel exhausted. I feel fed up studying. It feels like a brain fog. I...

How do I minimize/prevent AND recover from burnout from studying?]]>

Lazy space allocation-:https://stackoverflow.com/questions/18109582/what-is-lazy-space-allocation-in-google-file-system

With lazy space allocation, the physical allocation of space is delayed as long as possible, until data at the size of the chunk size (in GFS's case, 64 MB according the 2003 paper) is accumulated.

Large chunk size in GFS-:

=>A large chunk size, even with lazy space...

In Google File System,hotspots haven't been a major issue because our applications mostly read large multi chunk files sequentially. what it mean?]]>

But I have issue with reading huge huge texts as you know in this case it will require too much time when I do this. Is there way to simplify this reading style?

eg-: of sth that I want to read is this.

https://static.googleusercontent.com/media/research.google.com/en//archive/gfs-sosp2003.pdf

It takes me 45 minutes to read 3 paragraph and comprehend it at...

How to read research paper, textbook, long text content?]]>

Question:

A particle moves along

Starting at a specified state let

Question about Markov Chains]]>

IDK..I have been feeling this since a long time. How do I fix this feeling?]]>

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Without using a calculator, prove that $2^{\sqrt{12}}>11$.

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Remember to read the POTW submission guidelines to find out how to submit your answers!]]>

I have a formula which I need to rearrange but it's been a while since I covered this at school, I've tried to read up and re-study but I keep getting confused about what I can/can't do to the various brackets.

The formula is:

M = (((W x L / 2) x (L / 2)) - ((W x L / 2) x (L / 4)))

I'm trying to rearrange in terms of W, so W = ...

Any help or advance anyone could offer would be greatly appreciated.

Thanks]]>

ok I presnume the first thing to do is mulitply by conjugate]]>

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Let $M={-10,\,-9,\,-8,\,\cdots,\,9,\,10}$. There exists a polynomial $P(x)=x^3+ax^2+bx+c$ with $a,\,b,\,c \in M$. Given that $|P(2+\sqrt{2}|<\dfrac{9}{2018}$. Prove that $P(x)$ has 3 distinct roots.

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Remember to read the POTW submission guidelines to find out how to submit your answers!]]>

0.912606

0.837875

0.781625

0.737125

0.700875

0.670625]]>

My criteria for choosing this project-:

->Should be easy.

->Should be doable in 1.5 months.

->Should not to be too easy and should be just hard enough to be a major project.

->It is a group project but since this is nepal lol mainly 1 person is going to do it. max 2 persons will do this.

->Our skill level is not much. The one who is doing the project knows how to code in django and is good with programming. I...

Out of these around 20 projects, which project should I choose for final year cse project?]]>

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Determine the range of $w(w+x)(w+y)(w+z)$ where $x,\,y,\,z$ and $w$ are real numbers such that $x+y+z+w=x^7+y^7+z^7+w^7=0$.

-----

Remember to read the POTW submission guidelines to find out how to submit your answers!]]>

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Let $a,\,b,\,c,\,d \in \mathbb{N}$ such that the equation $x^2-(a^2+b^2+c^2+d^2+1)x+ab+bc+cd+da=0$ has an integer solution. Prove that the other solution is integer too and both solutions are perfect squares.

-----

Remember to read the POTW submission guidelines to find out how to submit your...

Problem Of The Week #484 September 23rd 2021]]>

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How many positive integral solutions $(x,\,y)$ are there for the equation $\dfrac{1}{x+1}+\dfrac{1}{y}+\dfrac{1}{y(x+1)}=\dfrac{1}{2015}$?

-----

Remember to read the POTW submission guidelines to find out how to submit your answers!]]>

I don't get the ans.]]>

ok not sure how to start on this the book example is in the spoiler

]]>

$\displaystyle\int_{0}^{\pi/8}\dfrac{\sec^2(2x)}{2+\tan\left({2x}\right)}$

ok not sue if this u v is correct or maybe better...

$u=\dfrac{\tan\left(2x\right)}{\sqrt{2}}\therefore du=\sqrt{2}\sec^2(2x) dx$]]>

1) Should be easy.

2) Should be doable in 1.5 months.

3) Should not to be too easy and should be just hard enough to be a major project.

4) It is a group project but since this is nepal lol mainly 1 person is going to do it. max 2 persons will do this.

5) Our skill level is not much. The one who is doing the project knows how to code in django and is good with programming. I personally know the basics of python but I have never made any projects...

Out of these 500+ projects which project should I choose for final year project?]]>

In this article, I am going to discuss Big Data Distributed Computing and Complexity. Distributed computing is a field of computer science

dotnettutorials.net

www.dummies.com

[URL...

Why is distributed computing/system important/necessary for big data? What is one example of use of distributed system in big data?]]>

Watching a video on youtube to help me understand about the mean, variance and standard deviation but last part of video left me confused.

The speaker said the following for the formula for standard deviation:

Consider if the variance is 200 for the first example and 2 for the second, please could someone explain in detailed simple terms why he calculated it to be 10 square...

Variance / standard deviation]]>

$\displaystyle \int_0^{\pi/2}\sin (x^2)\ dx$

ok think this should be area not volume but hope my int is set up ok]]>

http://cvit.iiit.ac.in/research/projects/cvit-projects/speaking-by-observing-lip-movements]]>

1) Follow a good course from a good teacher.

2) Read it aloud.

3) Practice the same thing multiple things to get insights. deliberate practice

What else can I do to overcome this learning plateau? https://drive.google.com/file/d/1fpksOvK5bLVC5C0njB-fNPgzOwj4GjqW/view These are the types of...

How to deal with learning plateau in CS?]]>