## SharePoint CSWP – Relative Paths for images

Morning folks,

I recently extended a Web Application in our SharePoint farm to get ready for AD FS as another Authentication Provider. The original WA comes with the URL https://portal-int.sharepoint.com, the extended is called via https://portal.sharepoint.com.

My problem now is, that all CSWP try to render images with the portal-int URL, no matter if I’m looking from “outside” (via portal.sharepoint.com) or from “inside” (via portal-int.sharepoint.com). CQWP work like a charm but are unfortunately not usable in this scenario. It’s not the query itself that makes trouble but the rendering.

How to solve that? I didn’t find any good query for google, etc. which would lead me into the wanted direction. Maybe some of you have an idea?!

## extracting pairs in which y-component has a relative maximum value

I have a list of several pairs. You can find it here or create it manually. Applying ListPlot on the intended list results in the below plot:

How do I extract the maximum pairs (x,y), whose y components are recognizable in the plot, from the list as an individual list.

## Use relative URL’s for static content in Magento 2

Is it possible to use relative URL’s in Magento 2? So change links like https://www.domain.com/my-product-title to /my-product-title.

And also use relative URL’s for javascript and css references?

## A group with a relative behavior mimicking the group of integers

Let $$G$$ be a group having a subgroup $$H$$ such that the interval $$[H,G]$$ in $$\mathcal{L}(G)$$ has the maximal condition. Let $$(K_i)_{i \in I}$$ be the coatoms of $$[H,G]$$.

Assume $$I$$ infinite countable and for every finite subset $$J \subset I$$ we have $$\bigcap_{j \in J} (G \setminus K_j) \neq \emptyset$$.

Question: Is it true that $$\bigcap_{i \in I} (G \setminus K_i) \neq \emptyset$$?

Remark: if $$G = \mathbb{Z}$$ and $$H = \{0\}$$, the maximal condition is satisfied, the coatoms are $$(p\mathbb{Z})_{p \in \mathbb{P}}$$ and $$\bigcap_{p \in \mathbb{P}} (\mathbb{Z} \setminus p\mathbb{Z}) = \{-1,1 \}$$.

## Minimising an Integrated Relative Entropy Functional

Suppose I am given

• A probability distribution on $$\mathbf R^d$$, with density $$\pi (x)$$.
• A family of transition kernels $$\{ q^0 (x \to \cdot) \}_{x \in \mathbf R^d}$$ on $$\mathbf R^d$$, with densities $$q^0 (x \to y)$$.

I now want to find a new family of transition kernels $$\{ q^1 (x \to \cdot) \}_{x \in \mathbf R^d}$$ such that

• $$q^1$$ is in detailed balance with respect to $$\pi$$, i.e.

\begin{align} \pi (x) q^1 ( x \to y ) = \pi (y) q^1 ( y \to x) \end{align}

• $$q^1$$ are as close as possible to $$q^0$$ in KL divergence, averaged across $$x \sim \pi$$.

To this end, I introduce the following functional

\begin{align} \mathbb{F} [ q^1 ] &= \int_{x \in \mathbf R^d} \pi (x) \cdot KL \left( q^1 (x \to \cdot ) || q^0 (x \to \cdot ) \right) dx\ &= \int_{x \in \mathbf R^d} \int_{y \in \mathbf R^d} \pi (x) \cdot q^1 (x \to y) \log \frac{ q^1 (x \to y) }{ q^0 (x \to y) } \, dx dy \ &= \int_{x \in \mathbf R^d} \int_{y \in \mathbf R^d} \pi (x) \cdot \left\{ q^1 (x \to y) \log \frac{ q^1 (x \to y) }{ q^0 (x \to y) } – q^1 (x \to y) + q^0 (x \to y) \right \} \, dx dy. \end{align}

I thus wish to minimise $$\mathbb{F}$$ over all transition kernels $$\{ q^1 (x \to \cdot) \}_{x \in \mathbf R^d}$$ satisfying the desired detailed balance condition. Implicitly, there are also the constraints that the $$q^1$$ are nonnegative and normalised.

I would like to solve this minimisation problem, or at least derive e.g. an Euler-Lagrange equation for it.

Currently, I can show that the first variation of $$\mathbb{F}$$ is given by

\begin{align} \left( \frac{d}{dt} \vert_{t = 0} \right) \mathbb{F} [q^1 + t h] = \int_{x \in \mathbf R^d} \int_{y \in \mathbf R^d} \pi (x) \cdot \log \frac{ q^1 (x \to y) }{ q^0 (x \to y) } \cdot h (x, y) \, dx dy. \end{align}

Moreover, my constraints stipulate that any admissible variation $$h$$ must satisfy the following two conditions:

1. $$\forall x, y, \quad \pi (x) h (x, y) = \pi (y) h (y, x)$$
2. $$\forall x, \quad \int_{y \in \mathbf R^d} h (x, y) dy = 0$$

I have not been able to translate these conditions into an Euler-Lagrange equation. I acknowledge that since the functional involves no derivatives of $$q^1$$, the calculus of variations approach may be ill-suited. If readers are able to recommend alternative approaches, this would also be appreciated. Anything which would allow for a more concrete characterisation of the optimal $$q^1$$ would be ideal.

## CSS position Absolute and position Relative clashing with Keyframe Animations (In React Project)

Look at .h1-div (Parsa Ventures Text)

If I make the div position relative, the animation works, but the h1 moves to the bottom of the screen below the content.

If I make the div position absolute, its very responsive and is positioned where it needs to be, but animation doesn’t work.

I need the responsiveness and the animation both to work on the h1.

(Imports and state not included in code)

import React from 'react' function App() {     return (         <>             <Home />          </>     ) }  export default App   

Home Component:

class Home extends React.Component {     render() {         return (             <div id="mainDiv" style={{ backgroundColor: '#FFFDF8', overflow: 'auto', width: '100%', height: 'auto',  position: 'relative'}}>                      <div className="h1-div">                         <h1>Parsa Ventures</h1>                       </div>                     <img src={leftTree} alt="a"  id="leftTree"/>                     <img src={swing} alt="a"  className="swing" id="swing"/>                    <img src={mSwing} alt="a" className="m-swing"  id="mSwing" />                     <img src={leftRope} alt="a"  className="left-rope" id="leftRope"/>                     <img src={rightTree} alt="a" className="right-tree" id="rightTree"/>                       <div className="pillow-a"  >                         <img src={pillowA} alt="" className={this.state.pillow ? 'enter' : 'leave'} id="p"/>                         <a href="#" onMouseEnter={this.handleEnter} onMouseLeave={this.handleLeave} id="p-a">About</a>                     </div>                     <div className="pillow-c"  >                         <img src={pillowA} alt="" className={this.state.pillow ? 'enter' : 'leave'} id="p"/>                         <a href="#" onMouseEnter={this.handleEnter} onMouseLeave={this.handleLeave} id="p-a">Contacts</a>                     </div>                     <div className="pillow-p"  >                         <img src={pillowA} alt="" className={this.state.pillow ? 'enter' : 'leave'} id="p"/>                         <a href="#" onMouseEnter={this.handleEnter} onMouseLeave={this.handleLeave} id="p-a">Projects</a>                     </div>                     <div className="pillow-m-a"  >                         <img src={pillowA} alt="" />                         <a href="#">About</a>                     </div>                     <div className="pillow-m-c">                     <a href="#">Contacts</a>                         <img src={pillowA} alt="" />                         </div>                     <div className="pillow-m-p"  >                     <a href="#">Projects</a>                         <img src={pillowA} alt="" />                      </div>              </div>         )     } }  export default Home 

SCSS:

.h1-div{      position: absolute;            width: 28%;     height:1%;     left: 67%;     top: 30%;         animation-name: pvh1;         animation-duration: 3s;         animation-fill-mode: forwards;          h1{             font-size: 3.7vw;             color: #38AFC9;             text-shadow: 6px 6px 0px rgba(255, 210, 225, 0.84);         }           }       @keyframes pvh1 {         0% {right: -25%; bottom: 50%;}         75% {right: 8.75%; bottom: 50%;}         100% {right: 5%; bottom: 50%;}     }    img{         max-width: 100%; }  .right-tree{     position: relative;     left: 40%;      max-width: 60%;  }  .swing{  position: absolute; left: 4%; top: 29.5%; width: 34.3%; height: auto; }  .left-rope{     position: absolute;     left: 4.6%;     top: 45%;     width: 3.7%;     height: auto;     z-index: 1; } 

## Position Aboslute queda debajo de position relative

Tengo un problema con un meno con posicion absoluta funciona todo bien pero a la hora de desplegarlo en componentes de tipo ‘col, col-md-2, col-4, etc’ de bootstrap, este menu queda debajo de dicho componentes.

al analizar el css, veo que tienen ‘position: relative;’, al desactivar el position funciona correctamente, pero quisiera saber si no existe otra forma, ya que no me es factible tener que quitar la posicion relativa a todos esos componentes.

## $\pi_1$ action on relative homotopy groups $\pi_n(X,A)$

It is known that there is a natural $$\pi_1(X,x)$$ action on $$\pi_n(X,x)$$ which also induces a bijection $$\pi_n(X,x)/\pi_1(X,x) \cong [S^n, X]$$.

Now, let $$(X,A)$$ be a pair of path-connected spaces and $$x\in A$$. We also have a $$\pi_1(A,x)$$ action on the relative homotopy group $$\pi_n(X,A,x)$$.

Is there any similar description for the quotient $$\pi_n(X,A,x)/ \pi_1(A,x)$$?

I guess it might be $$[(D^n,S^{n-1}), (X,A)]$$, the homotopy class of continuous maps of space pairs, since I notice that $$\pi_n(X,A, x)$$ can be defined as $$[(D^n, S^{n-1},pt), (X,A,x)]$$.

But maybe I was wrong, as I cannot find it in any reference.

## Relative path return 404 on ubuntu

I developed a small nodejs application and I’m facing a weird issue. Essentially, I’m using ExpressJS and I configured the static files, such as (js, css, etc…) to that path:

app.use(express.static(path.join(__dirname, "../public"))); 

when I run the application on windows I have no problem, all the css and js file are loaded correctly, eg:

<!-- STYLE CSS --> <link rel="stylesheet" href="/css/bootstrap.min.css"> <link rel="stylesheet" href="/css/style.css"> <link rel="stylesheet" href="/css/custom-style.css"> 

but when I run the app on ubuntu I get the 404 error.

I suspect there is something that doesn’t works on the double dots ../, infact I had the following loader first:

require('dotenv').config({     path: ./env-files/${process.env.NODE_ENV || 'development'}.env });  and I changed it to get it working. require('dotenv').config({ path: __dirname + '/env-files/' + $  {process.env.NODE_ENV || 'development'}.env }); 

Perhaps ubuntu doesn’t support the above syntax?

The structure of the app is:

app.js      config           environment.js      public            css           js 

the file environment.js load the folder public

## How to size content relative to screen size in scrollview for Xamarin?

I have a bunch of buttons I want to stack, but I also want them to be scrollable. How can I set the size of the buttons as a percentage of the actual screen size? I have tried star sizing on a grid layout.