/sci/ - Science & Math

I'm pretty sure that with a little effort an android with AI could hold down a pointless marketing job. Try again.

Help time ??
This is from a section in a textbook I have on Markov chains and the problem is as follows,
A zero-seeking device operates as follows: If it is in state m at time n, then at time n+1, its position is uniformly distributed over the states 0,1,...,m-1 Find the expected time until the device first hits zero starting from state m.

Can't seem to figure it out, I can see what the TPM will look like but ugh I don't know. Anyone seen this before?

Abstract Algebra Proof, I am not sure my proof is legit.
Suppose that $a$ and $b$ belong to a group, $a$ has odd order, and aba^{-1}=b^{-1}. Prove b^{2}=e.

So my proof is

We know b\inC(b) ( b is in C(b) and that C(b) is a subgroup of the group) Since C(b) is a subgroup and b is in it then b^{-1} is also in C(b). Since aba^{-1}=b^{-1} this also means a is in C(b). ( this is what I am questioning) Therefore (b commutes with a) and aa^{-1}b=b^{-1} which implies b=b^{-1} which implies b^{2}=e.

this is a math/bussiness question
can you help?
Christine is the owner and she wants to maximize her contribution and benefits.
Her lifetime income will be $16,250 a month which translates to $195,000 a year.

Here is the question.
How much does she need to fund over the next 16 years to receive $16,250?.
The contributions must be annual and the same amount each year (a/k/a ILP funding). The interest rate assumption is 3% per year.
The annuity conversion rate is $4.72 per thousand per month (or $56.64 per year per $1,000) on Security Mutual's annuity. (In English you give security mutual $1,000, they give you 56.64 a year for life).

HALLPP question on my take home quiz :/

The client Mr. June wants has a total of $162,000 to put into salary and pension. He wants the minimum salary and maximum pensions. (Currently a salary of $195,000 will generate a pension contribution of $220,941)-this ratio will remain the same) What is the optimal (lowest salary) to generate the maximum pension contribution with a total budget of $162,000.

Hey I would LOOOVE help on these formal languages and automata questions.


Computer Science 401
Fall 2011
Homework 3 – Due: 11am, Nov 9, in class
Diagrams and picture may be hand-drawn, but they must be neat and easy to read!

1. (10pts) Find a context-free grammar for the following languages.

a. {anbm | n ≥ m ≥ 0}*
b. The set of all strings of a’s and b’s that are not of the form ww, that is, not equal to any string repeated.
2. (5 pts) Construct a PDA that accepts the language described in 1b by empty stack. You may, if you wish, convert the CFG you found to a PDA. In this case, you have to make sure your grammar is correct.
3. (2 pts) Let P be an empty stack PDA of the language L, and suppose that ^ is not in L. Describe how you would modify P so that it accepts L{^}by empty stack.
4. (3 pts) Transform the following empty stack PDA into a final state PDA:
4. (5 points) Draw the PDA which accepts all and only the strings in the set {x Î {a,b}* | na(x) = nb(x) }(Note: The empty string is in L.) Ensure that your diagram is easy for me to interpret.
5. (10 pts) Given the following final state PDA, convert it to a CFG:
(0, a, X, push(A), 0)
(0, a, A, push(A), 0)
(0, b, A, nop, 1)
(0, ^, A, pop, 0)
(1, a, A, pop, 1)
(1, b, X, nop, 0) where

State 0 is the start state as well as the final state. X is the initial stack symbol.
6. (5 pts) Prove L = {anbn | n≥ 0} is a deterministic context-free language.

help
using induction
Prove for every natural number n, we have 3 | (n^3-n).

so I show that 3|0 by 3m=0 where m=0

then for
1,2,..,k
m=(k^3-k)/3

then i am stuck for k+1

>>3620126
>After a sharp right-hand turn the train would enter a straight, where loading of passengers and unloading of the bodies could take place.

Assuming were counting fingers up? its 7.5. If were counting fingers down its 0. Idiots will say 6

Oh man, troll be trollin'.

Determine the constant c so that f(x0 satifies the conditions of being a p.m.f. for a random variable X, and then depict each p.m.f. as a bar graph:

c) f(x)=c(1/4)^x, x=1,2,3,... I know this is a geometric sum but when I do all the calculutions i keep getting 3/4 and the answer is 3.

e) f(x)=x/c x=1,2,3,...,m

Here is one of these questions:

A cafe lets you order a deli sandwich your way. There are six choices for bread, four choices for meat, four choices for cheese, and 12 different garnishes (condiments). How many different sandwich possibilities are there if you choose

(c) One bread; 0, 1, or 2 meats; 0, 1, or 2 cheeses; and from 0 to 12 garnishes?

Consider a set of letters consitsting of 4 different vowels(including e) and 8 different consonants(including b). How many different 5-letter sequences can be formed using 2 vowels and 3 consonants(with no repeated letters)
a) containing b?
b) beginning with e?

help.....

Man has to abandon any form of anthropocentrism in order to understand reality.
Man needs to abandon ego.

How do?

>>3301589
>those who want it
>want

>2011
>he still believes free will exists

halp......
Describe the set of all points that is 4 units from the xz plane.


is this a parabolic cylinder?

how do you do this....
Let x equal a number that is selected randomly from the closed interval zero to one

what is
P(x:0<=x<=1/3)

Can someone give me a crash course in Factorials. I am in fucking 400 level math and for some reason have no clue about how to simplify these motherfuckers. I am trying to solve (n+1)!<2000.

Please just give me some basic rules, tips and what not.

how do you make a bifurcation diagram in mathematica?

I need to make one for F(x)=x^2+x+c

So I'm just going to throw this out there, you need to give the system energy to even get the weight to a point of sufficient gravitational potential energy. The "string" or whatever is just taking away energy through friction and rotational kinetic loss. I hope you're not trying to innovate here.

ask an applied mathematician anything

what does .9999... = ?

anyone know of a kengen for mathematica 8.0?

Prove as the limit as x approaches infinity of sin(x) does not exist.

halp