Reset sliders to default (zero) when a PopupMenu item is selected

I am setting up a UI with sliders that are enabled or disabled according to the item in a PopupMenu. I have been trying to figure out how to reset the sliders to the default value of zero when I select another item from the PopupMenu. After reading the documentation I think that Refresh should do the trick but I am missing something. It seems that after refresh the sliders need to be updated but I cannot figure out how. Can you help? Please see the mwe below. I am using v 12.1.1.0. Thank you!

BU

(* Initialization section *) dMin = -500; dMax = 500; dStep = 0.1; aMin = 0; aMax = 500; aStep = 0.1;  PopupMenu[Dynamic[tType], {   {0, 0, 1, 0, 0, 0} -> "t1",   {1, 0, 1, 1, 0, 0} -> "t2",   {1, 0, 1, 1, 1, 1} -> "t3",   {1, 1, 1, 1, 1, 1} -> "t4",   {2, 1, 1, 1, 0, 0} -> "t5",   {3, 1, 1, 1, 0, 0} -> "t6",   {0, 1, 1, 1, 0, 0} -> "t7",   {0, 1, 1, 1, 1, 1} -> "t8"}]  Manipulate[Grid[{    {"a", Slider[      Dynamic[aa], {If[tType[[1]] == 3 , 1.5 bb, dMin],        If[tType[[1]] == 2, 1.5 bb, If[1.5 bb <= dMax, dMax, 1.5*dMax]],        dStep}, Enabled -> tType[[1]] > 0,       Appearance -> {Small, "UpArrow", "Labeled"},       Background -> LightBlue, ImageMargins -> 0]},    {"b", Slider[Dynamic[bb], {dMin, dMax, dStep},       Enabled -> tType[[2]] > 0,       Exclusions -> {If[tType[[2]] > 0, 0, None]},       Appearance -> {Small, "UpArrow", "Labeled"},       Background -> LightBlue, ImageMargins -> 0]},(*     excludes zero from types 4 t0 8 *)    {"c", Slider[Dynamic[cc], {dMin, dMax, dStep},       Enabled -> tType[[3]] > 0,       Appearance -> {Small, "UpArrow", "Labeled"},       Background -> LightBlue, ImageMargins -> 0]},    {"d", Slider[Dynamic[dd], {aMin, aMax, aStep},       Enabled -> tType[[4]] > 0,       Appearance -> {Small, "UpArrow", "Labeled"},       Background -> LightBlue, ImageMargins -> 0]},    {"e", Slider[Dynamic[ee], {dMin, dMax, dStep},       Enabled -> tType[[5]] > 0,       Appearance -> {Small, "UpArrow", "Labeled"},       Background -> LightMagenta, ImageMargins -> 0]},    {"f", Slider[Dynamic[ff], {aMin, aMax, aStep},       Enabled -> tType[[6]] > 0,       Appearance -> {Small, "UpArrow", "Labeled"},       Background -> LightMagenta, ImageMargins -> 0]}},   Frame -> Outer, ItemSize -> {{1, 21}}],   Dynamic[tType,    Refresh[{aa = 0, bb = 0, cc = 0, dd = 0, ee = 0, ff = 0},     TrackedSymbols :> {tType}]], AppearanceElements -> None] 

Recovery possibilities with Zero knowledge encryption

I have some encryption understanding however I fail to get my head around following scenarios. I would like to know if they are possible with a zero knowledge encryption system.

What the system can or can’t do can be added to the answer. Example:

  • The system needs to keep a encrypted copy of the key.
  • The user has to have the key on a USB stick.

In the end, all scenarios ask the same questions.

  • Can the user access his data?
  • Does the system know about his data?

Scenario 1: User logs in on a new computer. Does not have the key with him.

Scenario 2: User logs in on a new computer. Does have the key with him (e.g. USB stick).

Scenario 3: User lost his password. His identity has been verified and approved.

Scenario 4: New sub-users are assigned to the same resource.

Google Search and YouTube search change spelling to spelling with zero results

NOTE: How to remove "Did You Mean:" from Google Search? does not answer this question. The suggested fixes in this question is to set up FB, IG, and other social media pages. We have had these for months. We have 576 Instagram followers, 293 followers on Facebook, 17,425 views on Vimeo, Youtube, Pinterest and LinkedIn presence. Here is the response in a YouTube search:

enter image description here

Let’s be clear. If you search for my company name and product name YT changes the spelling to something that doesn’t exist and suggests a video with no matching result terms (using either spelling) disparaging OTHER luxury handbags, while leaving the viewer with the impression it is referring to our handbags.

Google

When a user searches for our business, Aslaen Vaugn, Google changes the spelling to Aslan Vaughn and displays these results:

enter image description here

If you misspell part of the name (aslan vaugn or aslaen vaughn), it shows my company at the top of the results. For the first few months it just seemed like it was taking some time to percolate, but over 7 months we have had 17,500 unique visitors and 90 backlinks.

enter image description here

The only results for Aslan Vaugn is the birth announcement of the second child of a musician in New Jersey. It is a Facebook post and has 14 likes. Google is favoring a spelling that has only two results with 14+ views over my company with dozens of results and tens of thousands of views.

How is this possible? An FB post with 14 likes is that much more popular than a business with 17,500 unique visitors and 40,000 page views (despite the Google obfuscation)? Do I have an enemy at Google? On other search engines my company covers the first few pages in results. Through Google, you cannot find our company no matter how many pages in you go. Unless you search for the term in quotes, "aslaen vaugn". In which case we cover the first few pages here like in the other search engines:

enter image description here

Include a leading zero in pagination

I’m new to WordPress Development and have been teaching myself over the last few months how to develop a theme from scratch. Normally I can figure issues out on my own through forums, but I can’t really find much on this one.

I’ve been trying to add leading zeros to my pagination if the number is less than 10.

I.e: < Newer 01 02 03 … 10 Older >

Here is my pagination code. Any pointers in the right direction would be appreciated!

if ( !function_exists('palfrey_pagination') ) { function palfrey_pagination( $  range = 5 ) {      if( is_singular() )         return;      // $  paged - number of the current page     global $  paged, $  wp_query;      // Stop execution if there's only 1 page.     if( $  wp_query->max_num_pages <= 1 )         return;       $  paged = get_query_var( 'paged' ) ? absint( get_query_var( 'paged' ) ) : 1;      if ( !$  max_page )         $  max   = intval( $  wp_query->max_num_pages );      if ( $  max_page > 1 )             if ( !$  paged ) $  paged = 1;       // Add current page to the array.     if ( $  paged >= 1 )         $  links[] = $  paged;       // Add the pages around the current page to the array.     if ( $  paged >= 3 ) {         $  links[] = $  paged - 1;         $  links[] = $  paged - 2;     }       if ( ( $  paged + 2 ) <= $  max ) {         $  links[] = $  paged + 2;         $  links[] = $  paged + 1;     }          // The pagination     echo "\n" . '<div class="content-block-common-large">                     <div class="block-wrap">                         <div class="inline-group flex-group relative align-center column-align-bottom">                             <div class="column responsive width-450">                                 <ul class="pagination display-block relative align-center width-1of1">' . "\n";       // Link to 'Newer' posts.     if ( get_previous_posts_link() ) {         printf( '<li>%s</li>' . "\n", get_previous_posts_link( '<div class="display-inline-block relative float-left"><span class="pagination-prev">Newer</span></div>' ) );     }else{     echo '<li><div class="display-inline-block relative float-left pointer-events-none" style="opacity: .6;"><span class="pagination-prev">Newer</span></div></li>';     }          // Link to first page, plus ellipses if necessary.     if ( ! in_array( 1, $  links ) ) {         $  class = 1 == $  paged ? ' class="active"' : '';           printf( '<li%s><a href="%s">%s</a></li>' . "\n", $  class, esc_url( get_pagenum_link( 1 ) ), '1' );           if ( ! in_array( 2, $  links ) )             echo '<li>…</li>';     }       // Link to current page, plus 2 pages in either direction if necessary.     sort( $  links );     foreach ( (array) $  links as $  link ) {         $  class = $  paged == $  link ? ' class="active"' : '';         printf( '<li%s><a href="%s">%s</a></li>' . "\n", $  class, esc_url( get_pagenum_link( $  link) ), $  link );     }       // Link to last page, plus ellipses if necessary.     if ( ! in_array( $  max, $  links ) ) {         if ( ! in_array( $  max - 1, $  links ) )             echo '<li>…</li>' . "\n";           $  class = $  paged == $  max ? ' class="active"' : '';         printf( '<li%s><a href="%s">%s</a></li>' . "\n", $  class, esc_url( get_pagenum_link( $  max) ), $  max );     }       // Link to 'Older' posts.     if ( get_next_posts_link() ) {         printf( '<li>%s</li>' . "\n", get_next_posts_link( '<div class="display-inline-block relative float-right"><span class="pagination-next">Older</span></div>' ) );     }else{     echo '<li><div class="display-inline-block relative float-right pointer-events-none" style="opacity: .6;"><span class="pagination-next">Older</span></div></li>';     }       echo "\n" . '           </ul>                         </div>                     </div>                 </div>             </div>' . "\n";       } } 

How to find lines of matrix that has the property of being zero everywhere except for 1 entry?

I am interested in finding the lines where all entries are equal to zeros except for one.

Example: Given the follwoing matrix:

\begin{bmatrix}0 &0 &3 & 8\ 0 & 4 & 0 & 0 \ 0 &1 & 0 & 1\end{bmatrix}

Only the second line verify this property.

Of course, the brute force way is to go over the entries and check them one by one. But I am wondering if there is another most efficient way I don’t know about.

How is a VAS called in which each addition vector has zero sum?

For the purpose of this question, a vector addition system (VAS) is a pair $ (v,A)$ such that there is a dimension $ d\in\mathbb{N}_{>0}$ such that $ A$ is a finite subset of $ \mathbb{Z}^d$ and $ v\in \mathbb{N}_{\ge 0}^d$ .

Consider the set of all VAS $ (v,A)$ such that for the dimension $ d$ of $ (v,A)$ and all vectors $ a\in A$ we have $ \sum_{i<d} a_i=0$ (here, we index components by numbers ranging between 0 and $ d-1$ ). Does this set have an established name? I failed to find any myself.