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Mathematics : Recent Questions and Answers (Page 173)

Find answers to your questions about Mathematics or help others by answering their Mathematics questions.

would relation induced subset break cartesian product - homomorphism of convex hull?

Given two set of vectors $A, B subset mathbb{R}^n$, and a relation $D subseteq A times B$, here $times$ denote cartesian product. $CH(Atimes B) = CH(A)...

Asked on 12/18/2020 by peng yu

0 answer

Differentiation on tangent on a point

$$text{tangent of } e^{x^2} + ln x + e^{xln x}$$How to find the tangent of this curve at $(1, e+1)$ and differentiate it?...

Asked on 12/18/2020 by kk6

1 answer

P-NP for decision problems

The final quiz problem asked whether the statement For decision problems L1, L2 in NP, if P is not NP, L1 is at least as hard as L2, and L2...

Asked on 12/18/2020 by rasul_rza24

1 answer

In how many ways can a group of six people be divided into: 2 equal groups? 2 unequal groups, if there must be at least one person in each group?

In how many ways can a group of six people be divided into:a) two equal groupsI have $^6C_3 times space ^3C_3 = 20$ So, to choose the first group...

Asked on 12/18/2020 by user780357

2 answer

Area of $A:= lbrace (x,y) in mathbb{R}^2 : x^2+(e^x +y)^2leq1 rbrace$

I am having trouble calculating the area of $$A:= {lbrace(x,y) in mathbb{R}^2 : x^2+(e^x +y)^2leq1 rbrace}.$$ I hope someone can help me. I have tried using Fubini with the...

Asked on 12/18/2020 by marvel

1 answer

Max of $2$ independent random variables

Let :$X_1,X_2$ independent, with same law$ Var(X_1)= sigma^2$, $E(X_1)=0$$G$ is their cumulative functionLet $X= max(X_1,X_2)$ with cumulative function $F$We want to show that ...

Asked on 12/17/2020 by zestiria

2 answer

time-varying dynamical system

(1) Consider discrete-time nonlinear time-varying systems described by the difference equation $x(k+1)=f(k, x(k)), quad x(k) in mathbb{R}^{n}, k in mathbb{Z}$ where $f: mathbb{Z} times mathbb{R}^{n} rightarrow mathbb{R}^{n}$...

Asked on 12/17/2020 by Miss Q

2 answer

Prove that the solutions of a linear system are the same when using RREF

I am asked to prove that for the linear system $x+2y+3z=6, 4x+5y+6z=15 text{ and } 7x+8y+(21+λ)z=24$ the solution set equals the solution set that you can come up using...

Asked on 12/17/2020 by average_discrete_math_enjoyer

0 answer

logarithmic integral function and asymptotic expansion

Show that Logarithmic integral function $$int_2^x {1over log(t)} , dt = Li(x)$$ has asymptotic expansion of the form $${xover log(x)}cdotsum_{j=0}^infty a_jcdot (log(x))^{-j}.$$ I tried different stuff but I did...

Asked on 12/17/2020 by Paris Lamp

1 answer

How to solve the following system : $ begin{cases} 2x^2 +x + z = 0 \ (1-z) x^2 + 3x - y = 0 \ (2+y) x^2 + 4x - 2 = 0 end{cases} $?

Is there an algebraic method to solve the following system in $ mathbb{C} $, $$ begin{cases} 2x^2 +x + z = 0 \ (1-z) x^2 + 3x -...

Asked on 12/17/2020 by YoYo12

2 answer

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