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Error in plotting a quantity involving integral!

With my limited knowledge of Mathematica, I tried but could not figure out the issues in the following few-line code:

   mat1 = 1/2 ( {      {1, -I},      {I, 1}     } ); mat2[x_, t_] = {{1/2 - 1/2 Sqrt[1 - 4 x^2] - Sqrt[      1 - 4 x^2]/(-1 + E^(t Sqrt[1 - 4 x^2])), I x}, {-I x,      1/2 (1 + Sqrt[1 - 4 x^2] + (        2 Sqrt[1 - 4 x^2])/(-1 + E^(t Sqrt[1 - 4 x^2])))}};  intx = Integrate[mat2[x, t], {t, 0, 50}]; int0 = Integrate[mat2[0, t], {t, 0, 50}]; quantity[x_] := (Tr[ mat1.intx] - Tr[mat1.int0] )^2;  Plot[quantity[x], {x, 0, 1}] 

Any help would be greatly appreciated. Thanks.

Best way to store information about a list of materials and their quantity

I want to store some information about a game. Specifically information about certain buildings that can be built in it.

Said buildings require materials to be built. I am trying to come up with a good DB model for storing that information in my database.

For example, one building needs 10 wood to be built. I thought about having a "Buildings" table with columns for ID, name, icon and material cost. However I’m usually used to referencing common values from another table. This is to say I would have a separate table named "Materials" with columns ID, name and icon and the "Buildings" table would have a column "MaterialsRequired" which would hold a reference to the ID of the needed material in the "Materials" table. But I have no idea how to do that (which is a best practice, afaik) AND store the needed amount of said material.

WooComemrce Show selected color beside color variation title and separate Add to cart button from quantity

I need some help doing such changes on my site. First of all, I want to show n selected color label to show beside Color title. and second of all, I want to show Add to cart in a separate row not in the same row with quantity. I am attaching a picture below for the reference. Pardon me if it is a silly question I am learning about WooCoomerce. w

In a woocommerce’s project, How to update the cart quantity with ajax?

I’m building my own woocommerce theme with an HTML template that I bought for it. The question is: how can i update the cart’s label text with the ajax when a new product is added?

See my code to display the cart’s count:

<span class="cart_count" name='update_cart'><?= wc()->cart->cart_contents_count?></span> 

The button’s code to add a new product to the cart:

<li class="add-to-cart">   <a product-id="<?= $  featured_product->id ?>" href="#" class="single_add_to_cart_button">     <i class="icon-basket-loaded"></i>   </a> </li> 

the add-cart.php function:

<?php  function woocommerce_ajax_add_to_cart_js() {   if (function_exists('is_product') && is_product()) {       wp_enqueue_script('woocommerce-ajax-add-to-cart', plugin_dir_url(__FILE__) . 'assets/ajax-add-to-cart.js', array('jquery'), '', true);   } } add_action('wp_enqueue_scripts', 'woocommerce_ajax_add_to_cart_js', 99);  add_action('wp_ajax_woocommerce_ajax_add_to_cart', 'woocommerce_ajax_add_to_cart'); add_action('wp_ajax_nopriv_woocommerce_ajax_add_to_cart', 'woocommerce_ajax_add_to_cart');  function woocommerce_ajax_add_to_cart() {             $  product_id = apply_filters('woocommerce_add_to_cart_product_id', absint($  _POST['product_id']));             $  quantity = empty($  _POST['quantity']) ? 1 : wc_stock_amount($  _POST['quantity']);             $  variation_id = absint($  _POST['variation_id']);             $  passed_validation = apply_filters('woocommerce_add_to_cart_validation', true, $  product_id, $  quantity);             $  product_status = get_post_status($  product_id);              if ($  passed_validation && WC()->cart->add_to_cart($  product_id, $  quantity, $  variation_id) && 'publish' === $  product_status) {                  do_action('woocommerce_ajax_added_to_cart', $  product_id);                  if ('yes' === get_option('woocommerce_cart_redirect_after_add')) {                     wc_add_to_cart_message(array($  product_id => $  quantity), true);                 }                  WC_AJAX :: get_refreshed_fragments();             } else {                  $  data = array(                     'error' => true,                     'product_url' => apply_filters('woocommerce_cart_redirect_after_error', get_permalink($  product_id), $  product_id));                  echo wp_send_json($  data);             }              wp_die();         }  ?> 

the ajax-add-to-cart.js :

(function ($  ) {   $  (document).on("click", ".single_add_to_cart_button", function (e) {     e.preventDefault();      var $  thisbutton = $  (this),       product_qty = 1,       product_id = $  thisbutton.attr("product-id") || id,       variation_id = 0;      var data = {       action: "woocommerce_ajax_add_to_cart",       product_id: product_id,       product_sku: "",       quantity: product_qty,       variation_id: variation_id,     };      $  (document.body).trigger("adding_to_cart", [$  thisbutton, data]);      $  .ajax({       type: "post",       url: wc_add_to_cart_params.ajax_url,       data: data,       beforeSend: function (response) {         $  thisbutton.removeClass("added").addClass("loading");       },       complete: function (response) {         $  thisbutton.addClass("added").removeClass("loading");       },       success: function (response) {         if (response.error & response.product_url) {           window.location = response.product_url;           return;         } else {           $  (document.body).trigger("added_to_cart", [             response.fragments,             response.cart_hash,             $  thisbutton,           ]);         }       },     });      return false;   }); })(jQuery); 

I’ve already tried adding a script to the wp_footer:

jQuery('div.woocommerce').on('change', '.qty', function() {   jQuery("[name='update_cart']").prop("disabled", false);   jQuery("[name='update_cart']").trigger("click"); }); 

but I actually don’t know what dom element should be that div.woocommerce.

Trading Auction – Need help with calculating price / quantity of restricted underlying securities for matching

I’m having some difficulty with implementing a non-brute force algorithm for solving the following Problem. If I can get something even close to O(N^3) i’d be happy at this point.

Auction: https://www.investopedia.com/terms/a/auctionmarket.asp

I have an algorithm in place that can do a generic Auction (accumulating bids and offers over a fixed period of time, leading up to an event whereby bids and offers are matched to determine a reference price (the price securities are sold at in the auction)however we’ve just implemented a level of complexity that is throwing me for a loop.

We have a security with underlying shares that contain restrictions on who can own them. During an auction, we need to ensure that buyers can only buy shares they’re allowed based on the underlying restriction.

Example:

Security: Foo -Class A Shares -Class B Shares -Class C Shares

Buy Orders

  1. John can only buy Class A and Class B (Wants to buy 500 at $ 1.50)

  2. Sally can only buy Class B, and Class C (Wants to buy 300 at $ 1.52)

  3. Joel can buy any class. ((Wants to buy 200 @ 1.49)

Sell Orders

  1. Xavier owns 500 (200 Class A, 300 class B) and is selling 400 at $ 1.42

  2. Jennifer owns 1000 shares (800 Class B, 200 class C) and is selling 650 at $ 1.50

  3. Martha owns 1500 shares (300 Class A, 1200 class C) and is selling 400 at $ 1.52


The goal is trying to find the price point where the most shares can be sold, while making sure that we’re filling all orders that can be filled.

I’ve ran through multiple scenarios on calculating it from a price perspective, and the underlying class perspective, calculating the # of shares that can be sold at each price point, but I’m at a blank as each way I do it, i find I’m missing shares that could be traded.

Example: The following illustrates (when we have a correct price) that we also need to match buyer & seller using the most restricted / least tradable security so we match those who can’t trade with much first, then go for those that are less restricted.

enter image description here

The above isn’t hard to solve, it’s getting to that point, to figure out the best price and tradeable amount.

Any thoughts or ideas on this?

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Adding height to a minimum quantity of steps

I have a set of concrete steps. Each step has a height. I record the height of each stair, from first to last, bottom to top, as a list of heights: [0, 1.3, 2, 3.5, 4.2].

The difference in height between any two steps may not be the same. This is a tripping hazard. I wish to adjust the steps so that the height increase between any two steps is uniform, within an acceptable tolerance, q (example: 0.2).

Adding concrete is time-consuming on a per-step basis, but concrete is cheap, so it doesn’t matter how much height I add to any one step, only how many steps I raise. I can’t subtract height from any steps, and I also can’t raise the last step, since that’s the landing.

What is the minimum number of steps that can be added to such that the height gain from any one step to the next is within the tolerance, q?

Quantity increment and decremnt happening to all products at a time in grouped products

i Have created quantity icrement and decrement for grouped products in this location

C:\xampp\htdocs\Magento2\vendor\magento\module-grouped-product\view\frontend\templates\product\view\type\grouped.phtml

but the problem is if click on quantity increment it applying to all products in grouped.individually it is not coming

code https://drive.google.com/open?id=1aY-ANcC1pL0j1P33ANZFGwXnXMoldkaO enter image description here

enter image description here