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CMS Development Magento

Subtotal not showing including tax in minicart and shopping cart

I do the settings to show price include Tax in Configuration > Settings > Stores > Sales > Tax > Price Display Settings > Display Product Prices In Catalog and Display Shipping Prices. Configuration > Settings > Stores > Sales > Tax > Shopping Cart Display Settings > Display Prices and Display Subtotal. On product […]

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CMS Development Magento

magento 2 How to add custom content under the buy button for a specific product

I want to add some custom content under the shopping button on the product page of the specified category. I have used the block and widget functions to create it, but the display position is not what I want. How to achieve it?

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longest possible chain from a collection of ordered pairs/ co-ordinates

I have a bunch of ordered pairs x, y where 0 < x < y <= n (some given upper bound) like S = [(1,2), (1,3), (1,4), (2,3), (3,4)] I need to find the Length of the longest subset where all the numbers within the ordered pairs are unique. Here that would be 2. eg: […]

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Lévy Khinchine Proof

I am supposed to prove this theorem Theorem 1.16 For a semimartingale levy process X, there is a continuous non decreasing function $\beta$ with $\beta_0 = 0$, a measure $\kappa$ satisfying the conditions of the theorem 1.11 such that : $\mathbb{E}[e^{iu(X_t-X_0)}] = \exp\{iu\alpha_t – \frac{u^2}{2}\beta_t + \int_{]0,t] \times \mathbb{R}} (e^{iux} – 1 – iux 1_{|x|\leq1} […]

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This problem is based on identity theorem.Please provide a solution in easy way.

Find all polynomials P(x) with real coefficients such that $(x-8).P(2x)=8(x-1).P(x).$ Find all polynomial $P(x)$ with real coefficients such that $(x^2 -ax + 18).P(x) = (x^2+3x).P(x-3).$ In second one,I plugged, $x=-3,$ then, a=-9 further it simplifies to:$(x+6).P(x)=(x).P(x-3)$. putting $x=-6,$ $P(-9)=0$ putting$ x=0,$ $P(0)=0$ So, $P(x)=x(x+9).Q(x)$ putting the above value of $P(x)$, $(x+6)(x)(x+9)Q(x)=(x)(x-3)(x+6)Q(x-3)$ $(x+9)Q(x)=(x+6)Q(x-3)$ Now, here I […]

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Taking Limits of Expressions of Different Variables in Proof of L’Hopital’s Rule?

In my real analysis textbook, they present the proof of L’Hopital’s by using Cauchy’s mean value theorem. The part in the proof I am struggling to work out rigorously is a particular implication involving equivalent limits using different variables. We have assumed that $f(c)=g(c)=0$, $f$ and $g$ are differentiable on a neighbourhood of $c$, and […]

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Should infinite order elements not be called zero order elements?

For a unital ring $R$, there is a homomorphism $f:\mathbb{Z}\rightarrow R$ and the kernel is an ideal of the form $n\mathbb{Z}$ for unique $n\in \mathbb{N}$ which we call the characteristic of the ring. In a similar kind of way, for a group $G$, and $g\in G$ there is a homomorphism $f:\mathbb{Z}\rightarrow G$ sending $n$ to […]

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Direct union of finitely generated subgroup

I’m reading Wagon’s book “The Banach-Tarski paradox”. At page $149$, the author talks about the “direct union of a directed system of amenabile groups” without defining it. Q1: does direct union simply mean union? If this is the case, why does he use the adjective “direct”? Or is direct union the same as direct limit? […]

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Bayesian network and conditional probability

Bayesian Network I am working on an exercise that find out certain probability based on a Bayesian Network. The Bayesian Networking showed on the above The following are my work out: P(C ∩ S ∩ E ∩ ¬P ∩ ¬F) = P(¬F | C ∩ S ∩ E ∩ ¬P) ⋅ P(C ∩ S ∩ […]

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Suppose $H_1,H_2$ are two subgroups of group G,their intersection contains a normal subgroup N of G

Prove that $H_1/N∩H_2/N≌(H_1∩H_2)/N$ I have no idea how to solve this problem.Is there anyone help me?