Changing ISR’s return address to a function’s memory location?

When using ISR, can I choose the address I will return to as the address I have determined instead of the address I stay? In this way, I can override the interrupt logic, make an instant interruption and determine the return location myself.

functions – Order column custom date using pre_get_posts

How I want to sort my custom column contain string date with format j F Y

my column data contains string example “21 januari 2021”, how I can change the format to date so I sort it.

My value from postmeta with meta_key “datepicker”.

here my code:

    add_action( 'pre_get_posts', 'manage_wp_posts_be_qe_pre_get_posts', 1 );
function manage_wp_posts_be_qe_pre_get_posts( $query ) {


   if ( $query->is_main_query() && ( $orderby = $query->get( 'orderby' ) ) ) {

      switch( $orderby ) {

     
         case 'delivery_date':

            // set our query's meta_key, which is used for custom fields
            $query->set( 'meta_key', 'datepicker' );

            $query->set( 'orderby', 'meta_value' );
            break;

      }

   }

}

how I can orderby meta_valuewith format date?

Mass matrix for hat functions, triangulation

Ive included a picture of the task im trying to solve where i need to show some equalities for the integral of hat functions on a triangulated grid

enter image description here

naming – Terminology for cumulative vs non cumulative functions on timeseries data

Say you had some (contrived) timeseries data like:

time   |  1  |  2  |  3  |  4  |  5  |
temp 1 |  3  |  3  |  4  |  4  |  5  |
temp 2 |  2  |  2  |  2  |  2  |  2  |
...etc

Is there a particular terminology for functions that go across the rows (cumulative) vs the columns (point in time)?

For example, the sum of temp 1 across all the time periods is 19 (cumulative) but perhaps the max temp at time 3 is 4 (point in time).

functions – Convert list of InterpolatingFunctions to data

Clear("Global`*")

data = RandomReal(10, {20, 2}) // Sort;

g = Interpolation(data)

enter image description here

The source data can be extracted from the InterpolatingFunction

data === Transpose({g((3, 1)), g((4, 3))})

(* True *)

To uniformly resample the InterpolatingFunction on the domain

dom = g((1, 1))

(* {0.0472677, 9.7063} *)

data2 = {#, g(#)} & /@ (Subdivide(##, 9) & @@ dom);

Show(
 Plot(g(x), {x, dom((1)), dom((2))},
  PlotRange -> All),
 ListPlot({data, data2},
  PlotStyle -> {Blue, Red}))

enter image description here

Two non constant meromorphic functions over a connected compact Riemann surface, could not be algebraically independent

Let $M$ be a connected compact Riemann surface. Let $f, g$ be two nonconstant meromorphic functions. Why is there a two-variable complex polynomial $F(x,y)$ that vanishes for $(x, y)=(f, g)$, (in other words $F(f,g)=0$)?

custom functions in function file delete automatically daily

I have added some custom ajax calls and functionality on my WordPress site. I added code in function.php which is placed in wp_includes folder. It was working fine but from the last 2 weeks, my custom functions automatically removed from functions.php file.
what is the solution of this? I am new to WordPress. Any help would be highly appreciable.

functions – query_vars treat as single var from URL

I want to use the link parameter from URL as one query_var.
If I visit the page where (flipwoo) is in, for example:
https://test.com/test/?link=https://test.com/?download_file=1953&order=wc_order_zHOH4RI97k9mR&email=test%40gmail.com&key=91c44b50-6922-4976-ac57-6d499136eead
the following is echoed:
https://test.com/?download_file=1953
but I want the whole URL after ?link= to be echoed:
https://test.com/?download_file=1953&order=wc_order_zHOH4RI97k9mR&email=test%40gmail.com&key=91c44b50-6922-4976-ac57-6d499136eead

Where is the mistake?

function themeslug_query_vars( $qvars ) {
    $qvars() = 'link';
    return $qvars;
}
add_filter( 'query_vars', 'themeslug_query_vars' );

function get_woolink() {
    $linked = get_query_var( 'link', 1 );
    echo $linked;
}

add_shortcode('flipwoo', 'get_woolink');

Bezout’s identity for analytic functions of several variables

In (single-variable) complex analysis, given analytic functions $f$ and $g$ with no common zeros, one can find analytic functions $u$ and $v$ such that $uf+vg=1$. I’d like to know if the same holds in several variables; as a simple case, specifically,

Let $f,gcolonmathbb{D}^2tomathbb{C}$ be analytic (in the bi-disc $mathbb{D}^2$) with no common zeros. Does there exist analytic functions $u,vcolon mathbb{D}^2tomathbb{C}$ such that $uf+vg=1$?

functions – Computing the sign of an expression

As $sigma>0$ we can divide the expression by $sigma$ without changing its sign. Then, defining $x=(p-v_0)/sigma$, the expression becomes

Sign(Sqrt(2) + E^(x^2/2)*Sqrt(π)*x*Erfc(-x/Sqrt(2)))

This expression seems to be positive for any $xinmathbb{R}$, so I’d say that the answer to your question is that your Sign(...) is always 1:

LogPlot(Sqrt(2) + E^(x^2/2)*Sqrt(π)*x*Erfc(-x/Sqrt(2)), {x, -1000, 10},
  WorkingPrecision -> 100, PlotRange -> All)

enter image description here

The asymptotes of your expression are

  • $sqrt{2}/x^2$ for $xto-infty$, which is positive,
  • $2xsqrt{pi} e^{frac{x^2}{2}}$ for $xto+infty$, which is positive.