Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 196

Why write computational complexity as $Oleft( m n log (n^2 / m) right)$?

On slide 40 of this presentation, an algorithm is described as having a complexity of $Oleft( m n log (n^2 / m) right)$. But since ...

Asked on 11/07/2020

1 answer

How to obtain equation from graph?

Consider we have an autonomous differential equation$$dfrac{dy}{dt}=f(y)$$and we need to draw a slope field using the information from this graph:...

Asked on 11/07/2020 by Dewton

2 answer

Construction ruler and compass [logic]

Carl is given three distinct non-parallel lines $ell_1, ell_2, ell_3$ and a circle $omega$ in the plane. In addition to a normal straightedge, Carl has a special straightedge...

Asked on 11/06/2020 by Meulu Elisson

1 answer

Show that the solution of the equation $x^5-2x^3-3=0$ are all less than 2 (using proof by contradiction).

The question is "Show that the solution of the equation $x^5-2x^3-3=0$ are all less than 2."I have attempted to answer this question using proof by contradiction and I think...

Asked on 11/06/2020 by Mardia

1 answer

Evaluate $lim _{nto infty }int _{0}^{1}nx^ne^{x^2}dx$

Evaluate $lim _{nto infty }int _{0}^{1}nx^ne^{x^2}dx.$I applied the mean value thorem of integral to $int _{0}^{1}nx^ne^{x^2}dx.$ We get $cin (0,1):$ $$int _{0}^{1}nx^ne^{x^2}dx=(1-0)nc^ne^{c^2}.$$ Taking...

Asked on 11/04/2020 by Unknown x

5 answer

Deriving the Cauchy-Riemann from the derivative of the complex conjugate.

I am trying to prove the Cauchy-Riemann conditions naturally arise from the condition that: $$frac{partial f(z,z^{*})}{partial z^{*}} = 0$$ But I'm having trouble starting from the definition of a...

Asked on 11/03/2020 by mojojojo

1 answer

Why does every oscillating sequence diverge?

Is this statement true? $$bftext{Every oscillating sequence diverges.}$$ My thoughts: $bf{False}$. $s_n = (-1)^n$ does not converge. But it's bounded, therefore, not divergent either. Divergent means diverging...

Asked on 11/03/2020 by user13985

3 answer

What was the weight of concrete in pounds per cubic foot?

A batch of concrete consisted of $200$ lbs. fine aggregate, $350$ lbs coarse aggregate, $94$ lbs cement, and $5$ gallons water. The specific gravity of the sand and gravel may...

Asked on 11/03/2020 by Mike

4 answer

Is there an involutive automorphism mapping two given elements of a poset or lattice?

$S$ is a finite poset or lattice ; $A$ and $B$ two distinct elements. If there is at least one automorphism that maps $A$ to ...

Asked on 11/03/2020 by ycras

1 answer

Variation of metric

I am looking at the derivation of the Einstein field equations as the Euler-Lagrange equations of the Hilbert functional.To do this one starts with a variation$$ g(t)...

Asked on 11/02/2020 by MSDG

1 answer

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