Recent activity by Anand Vijayan

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I am referring to this video https://www.youtube.com/watch?v=vgELyZ9LXX4 at 1:08:39 .$n$ : number of nodes in the tree$Z_{n,k}$ : Indicator random variable that activates...
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Can someone please explain the math in detail.
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In the following, $A$ stands for a set of apples, and $S(x, y)$ stands for "$x$ is sweeter than $y$. Let$$\Psi \equiv \exists x : x \in A$$$$\Phi \equiv \forall x \in A :...
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Which of the following is a valid first order formula? (Here \(\alpha\) and \(\beta\) are first order formulae with $x$ as their only free variable)$((∀x)[α] ⇒ (∀x...
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$G$ is a simple undirected graph. Some vertices of $G$ are of odd degree. Add a node $v$ to $G$ and make it adjacent to each odd degree vertex of $G$. The resultant graph...
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Suppose $\begin{pmatrix}0&1 &0&0&0&1 \\1&0&1&0&0&0 \\0&1&0&1&0&1 \\0&0&1&0&1&0 \\0&0&0&1&0&1 \\1&0&1&0&1&0\end{pmatrix}$is the adjacency matrix of an undirected graph...
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How many $4$-digit even numbers have all $4$ digits distinct?$2240$$2296$$2620$$4536$
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http://gatecse.in/number-of-binary-trees-possible-with-n-nodes/In the first answer (What is the no. of distinct binary trees possible with n labeled nodes?), "An edge can...
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A subset $S$ of set of numbers $\{2,3,4,5,6,7,8,9,10\}$ is said to be good if has exactly $4$ elements and their $gcd=1$, Then number of good subset is$126$$125$$123$$121...
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Find the odd one in the following group: $\text{ALRVX, EPVZB, ITZDF,OYEIK}$$\text{ALRVX}$$\text{EPVZB}$$\text{ITZDF}$$\text{OYEIK}$
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I find alpha <x+y which gives me x+y<2. But the answer is A. Can someone please help. Consider the statement$:$$x(\alpha-x)<y(\alpha-y)$ for all $x,y$ with $0<x<y<1.$The ...
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Let $N$ be the sum of all numbers from $1$ to $1023$ except the five primes numbers: $2, 3, 11, 17, 31.$ Suppose all numbers are represented using two bytes (sixteen bits...
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The horse has played a little known but very important role in the field of medicine. Horses were injected with toxins of diseases until their blood built up immunities. ...
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The Headmaster ___________ to speak to you. Which of the following options is incorrect to complete the above sentence? is wanting wants want was wanting
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We know that Master's theorem is applicable if for the reccurence relation T(n)=aT(n/b) +Θ(n^k log^p n) ,the conditions: a>=1, b>1, k>=0 and p= any real number are sati...
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Find all real solutions of the equation $x^{2} - |x-1| - 3 = 0$
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If $a, b, c, d$ and $e$ are positive real numbers, then the minimum value of $(a+b+c+d+e)(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{d}+\frac{1}{e})$ is$25$$5$$125$Cann...
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An infinite two-dimensional pattern is indicated below.The smallest closed figure made by the lines is called a unit triangle. Within every unit triangle, there is a mous...
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Prove the following: $3 \; | \;\left ( a^2+b^2 \right )$ if and only if $3 \; | \;a$ and $3 \; | \;b$.
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Show that any comparison based sorting algorithm can be made stable without increasing its complexity beyond a constant factor.
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Prove or disprove the following: for finite sets A and B, $\overline{(A - B) \cup (B - A)} = A \cap B$ . If the proposition is incorrect, do minimal modifications to the ...
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Is it true that if someone had got more than 1 arrear in btech(even if it was cleared) cant get admission to IIIT-Banglore whatever be the GATE score and CGPA?
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Consider the following C code:#include<stdio.h int *assignval (int *x, int val) { *x = val; return x; } void main () { int *x = malloc(sizeof(int)); if (NULL == x) return...
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Consider the following C program.#include<stdio.h #include<string.h void printlength(char *s, char *t) { unsigned int c=0; int len = ((strlen(s) - strlen(t)) c) ? strlen...
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does Random page replacement algorithm suffers from belady's anomaly?
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In Shai Simonsons video lecture series , the last few videos are titled as follows : Complexity Theory, Quantified Boolean Formula,Savitchs Theorem, Space hierarchy ,Deci...
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What is the minimum number of ordered pairs of non-negative numbers that should be chosen to ensure that there are two pairs (a, b) and (c, d) in the chosen set such that...
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Is vector calculus in syllabus???? For gate 2017 cse???Topics like gradient, curl, directional derivative, greens theorem, gauss divergence theorem,..... Are they include...
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In a village, people build houses in the same side of the road. A thief plans to loot the village. He wants maximum amount of money without having any risk of getting cau...
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What is the variance of random variable X whose value when two fair dice are rolled is X((i,j)) = i + j , where i and j are the numbers appearing on the first and second ...