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A strict total order on a set is a strict partial order on in which any two distinct elements are comparable. That is, a strict total order is a binary relation < {\displaystyle <} on some set X {\displaystyle X} , which satisfies the following for all a , b {\displaystyle a,b} and c {\displaystyle c} in X {\displaystyle X} :
A strict weak order that is trichotomous is called a strict total order. [14] The total preorder which is the inverse of its complement is in this case a total order . For a strict weak order < {\displaystyle \,<\,} another associated reflexive relation is its reflexive closure , a (non-strict) partial order ≤ . {\displaystyle \,\leq .}
Partial order – an antisymmetric preorder; Total preorder – a connected (formerly called total) preorder; Equivalence relation – a symmetric preorder; Strict weak ordering – a strict partial order in which incomparability is an equivalence relation; Total ordering – a connected (total), antisymmetric, and transitive relation
Read the fine print of the company’s refund and return policies, the item’s availability and the total cost before ordering. Get a shipment date. Keep records of your order, including the ...
A slotting fee, slotting allowance, [1] pay-to-stay, or fixed trade spending [2] is a fee charged to produce companies or manufacturers by supermarket distributors in order to have their product placed on their shelves or within their supply chain. [3] [4] The fee varies greatly depending on the product, manufacturer, and market conditions. For ...
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Order theory is a branch of mathematics that studies various kinds of objects (often binary relations) that capture the intuitive notion of ordering, providing a framework for saying when one thing is "less than" or "precedes" another. An alphabetical list of many notions of order theory can be found in the order theory glossary.
An example of a purchase order request from a travel agent. A purchase order, often abbreviated to PO, is a commercial document issued by a buyer to a seller, indicating types, quantities, and agreed prices for products or services required. [1] It is used to control the purchasing of products and services from external suppliers. [2]