FIND ME OUTt

I start with the letter 'e' I end with the letter 'e' i contain only one letter but i am not 'e'
Who am I

Period of composite functions

Hi
Long time we people were out of touch
Lets discuss something simple

G(x) = H(x) + I(x)

H(x) is periodic with interval t
I(x) is periodic with interval u

Is G(x) periodic?
If it is then what is its period and why?

Judgement

A person found guilty
Judge told
If you say truth you will be mprisoned for 5 years and if you say a lie you will be imprisoned for 10
he said something and was set free
what did he say

timing complexity of an algo

in a room their there are n people
amongst them one is a vip
everybody knows vip
vip knows nobody
and a person can ask only one question to another
do you know me?
find out who is the vip
now give a algo for this and state its timing complexity

match switches to bulbs

You have 3 switches and 3 bulbs to it
now the 3 bulbs are not visible outside the room
switches are outside the room
you are allowed to enter only once in a room
how will you check that which switch belongs to which bulb

how can i keep my bottle filled

i have a 1 litre bottle and i want that everyday some amount of water has to be consumed but still the bottle should never be empty

how can i do that?

you can neglect the surface tension and molecular bonding theories here.

Time for Autotmata

We know that for dfa

d or transition function is defined as

q x s->q
where q is the set of all the states and s is the set of input symbols

and in nfa

d is defined as

q x s->2^q


what do you interpret by this?

TRAVEL the WORLD

A man travels 1 km south
takes a left and travels 1 km east
again he travels 1 km north

now he measures the distance between his initial and final position (displacement) using chain survey

what will be the readings?

Time for simple limits

lets
f(x) = number of solutions for (sin y = 1) where y is [0,x];
g(x) = number of solutions for (sin^2y = 1) where y is [0-x];


c(x) = f(x)/g(x);

find the value of c(x) lim 1/x->0;

answer is simple and to the point

mechanics favorite of many

i have a sheet inclined at angle x

move a block y along the sheet UP THE PLANE

i turn the sheet parallel to the surface

move the same block y again along the sheet

where will i burn my energy more?

Time for vehicle dynamics

What is the relation between the toe angle of rear wheel and understeer and oversteer?

give me an approppriate reason for that

find out the 9 gm coin?

there are 10 rooms

each room is filled with 10 gm coins of gold

except 1 room filled with 9 gm coins of gold

we have a weighing machine which operates on one rupee coin

Now you have only one rupee in your pocket and you need to find out which room contains the 9 gm coin

In short,
you are allowed to use the weighing machine only once
and yes the weghing machine can measure gms i.e. it is accurate to measure gm

Graph for the simple calculus question

these red points is the graph for rhs
and hence it is not differentiable

Where has the one rupee gone?

Three friends went for a dinner and the bill amount was 75rs
all the 3 gave 25 rs each
manager gave 5rs concession
waiter kept 2rs with himself and gave one rupee each
so the bill amount for each person was 24rs
now 24+24+24 = 72 and 2rs of waiter
total 74rs
where the one rupee is?

Lets solve the series

find the nth term of the following series

1,3,4,9,10,12,13......................

The above series is actually the increasing sequence of sum of numbers that are generated by sum of unique powers of 3

for example

4 = 1+3

10 = 1+9

12 = 3+9

13 = 1+3+9

find the nth term of the series

me and patro are not allowed to answer first

i want the explanation for this as this can be or may be done by more than one method

Time For Simple Calculus

we know that

d(x^2)/dx = 2x;

now we also know that

x^2 = x*x = (x+x+x+x+x+x+x+-----------)x times;

thus y differentiating both the side

d(x^2)/dx = (1+1+1+1+1+1+1+----------)x times;

2x = x;

2 = 1

:(

what the hell is this
think about it

I will be happy if you prove it wrong because i dont want my studied mathematics to be a waste

Valentine day

Lets have some funny discussion on the day

Lets Interpret this

"How can I love you as the way you are
as
I love you so much that i do not want you to get hurt"

Interpret this

Communication

What is the basic difference between quantization and sampling?

8 Queen Problem

The problem is to arrange the 8 queens in 8 * 8 chessboard such that no queens can take over each other

To find the number of distinct or unsymmetrical solution and let me know the approach

If you are finding total number of solutions then also it will do just give your approach

Lets Start With A Basic Interpretation

We know that while doing binary arithmetics we take 2's complement of the negative numbers in signed representation

Give your Understanding that why is it done

If you can give a better representation then you are most welcome

I will put my views in the end

Mathematics Behind Technology

Friends

Human Mind is something very interesting

Let me explain you with an example. If we want to reach from periphery to the center of the circle we have infinite ways. This is something very interesting as to understand a simple concept there are numerous ways and this is the magic of human mind.

Human Mind is all about mathematics. You may argue that there are many people who are bad at mathematics but they have a nice mind towards art. But my friend i am not referring to the maths taught to us in our curriculum where 1+2 = 3

Maths is a magic where 1+2 = 10 if we are taking a base 3

Even the invention of computer and modern technology is mathematics output

So lets discuss that what is your route to center

and lets understand and share knowledge on simple concepts of computation

This is the place where you can give the weirdest of explanation for your solution because the world is weird too.

This blog is also designed for everybody to enjoy and learn new concepts which is learnt by you people in computer engg.

So Happy Learning