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Mathematica : Recent Questions and Answers (Page 7)

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

How can I minimize expression involving logarithms?

I am trying to find minimum of this expression:$$log _aleft(frac{4}{9} (3b-1)right)+8 log_{frac{b}{a}}^2(a)-1,$$where $ 0 < b < a < 1$. I triedClear[a, b] ...

Asked on 11/23/2021

3 answer

RegionProduct to extrude a 3d volume with thickness variation

RegionProduct[] is very useful when one intends to extrude a 2d region into 3d:s = BoundaryMeshRegion[RandomPolygon[{"Convex", 15}]];sLinExtrd = RegionProduct[s, MeshRegion[{{0}, {1}}, Line[{1, 2}]]]Output:...

Asked on 11/23/2021

1 answer

Three dimensional Laplacian insulated on lateral faces and convectively exposed on transverse faces (updated)

I have the three dimensional Laplacian $nabla^2 T(x,y,z)=0$ representing temperature distribution in a cuboid shaped wall which is exposed to two fluids flowing perpendicular to each other on either...

Asked on 11/23/2021

2 answer

series expansion unpredictably dividing by leading coefficient

When expanding the simple expressionexpr = y^3as a series in x, withexpand = y -> Sum[Subscript[y, j] x^j, {j, 1, 20}];The behaviour of SeriesCoefficient and Series are unpredictable,...

Asked on 11/23/2021

0 answer

Laplace's equation with mixed boundary condition using separation of variables

The equation and boundary condition are defined in the picture where $T_1$, $T_2$, $T_3$, $k$ and $h$ are constant value. I...

Asked on 11/21/2021

2 answer

Breaking "Functional Loops" and Doing Lazy Evaluation In Mathematica

Alright, so this is a question about the functional way to break a for/while loop. Since we're on the Mathematica SE, I'm interested in the ways a Mathematica vet would...

Asked on 11/17/2021

2 answer

Manipulate updates due to variable changes outside manipulate: can this be stopped?

I have created a large notebook where i have two or more manipulates whose execution is supposed to wait till I click an update button. The button operates a dummy...

Asked on 11/17/2021

0 answer

Error on using Compile[]

My code is below.deltaX = 1/128;W=256;Mmax=40;lPoly = ParallelTable[ LegendreP[ order, (-1.) + (deltaX/2.) + ((index - 1.)*deltaX)], {order, 0, Mmax}, {index, 1, W}];XPoly =...

Asked on 11/17/2021

1 answer

Why Mathematica doesn't give output for Integration of Special Function

I am trying to Integrate the expression given below. But, everytime I am not able to integrate it. Tried a lot but it's not working. Please any suggestion will help...

Asked on 11/15/2021

0 answer

How to solve a differential equation involving LaplaceTransform?

currently I'm working on a problem in which I need to solve an equation of the following form: $$mathcal{L}left[frac{partial f(x,t) }{partial x} + frac{partial f(x,t)}{partial t}right] = frac{1}{y^{3/4}}mathcal{L}left[frac{partial^{2}f(x,t)}{partial t^{2}}right]...

Asked on 11/15/2021

1 answer

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