Equivalence relations permeate mathematics with several salient examples readily available:
1. Residue classes [a]N consist of all numbers congruent (equivalent) modulo N
2. a negative number is a set of all equivalent pairs (a,b) of integers with a3. a rational number is a set of all equivalent pairs (a,b) of integers, where two pairs (a,b) and (c,d) are equivalent iff ad = bc
4. an irrational number is an equivalence class of sequences r1, r2, r3, ... of rational numbers, where two sequences {ri} and {si} are equivalent iff they have limits as i and their limits coincide.
Relation (mathematics) redirects here. For a more general notion of relation, see Finitary relation. For a more combinatorial viewpoint, see Theory of relations. In mathematics, a binary relation on a set A is a collection of ordered pairs of elements of A. In other words, it is a subset of the Cartesian product A2 = A × A. More generally, a binary relation between two sets A and B is a subset of A × B. The terms dyadic relation and 2-place relation are synonyms for binary relations.
Friday, July 10, 2009
Love relations
It may be easy to look around our world today and see the appearance of chaos, difficulty and strife. Yet, when we come from an open heart, we can also see our opportunity to love all things into balance, joy, harmony and peace. This planet does not need more visions of desperation, fear, doubt and hate - it requires an abundance of love, especially unconditional love, to heal and restore the beauty contained in every moment. This becomes the easier path once we take the first step and begin to share our love.
When we bring unconditional love back into our personal, professional, community and family lives, we begin the journey of restoring wholeness and happiness to our planetary adventure. Of course it takes determined effort on our part as the old ways of being are quick to return in our mind. However, this effort to love is rewarded with a new perspective on everything and all life benefits as a result.
When we bring unconditional love back into our personal, professional, community and family lives, we begin the journey of restoring wholeness and happiness to our planetary adventure. Of course it takes determined effort on our part as the old ways of being are quick to return in our mind. However, this effort to love is rewarded with a new perspective on everything and all life benefits as a result.
relationship between carrying cost and ordering cost
If various items in stock are multiplied by their purchasing price, one is able to determine the “A” items, those few that account for the highest value, the “B” items, those that come next and account for less value, and the “C” items, the remaining large number of items that have a far smaller share of the total value of inventory. By concentrating on the “A” items and then the “B” items one can develop a strategy that rest on reducing the quantities of “A” and “B” items held in stock to the optimum level. An important element of this strategy consist of placing several orders of smaller quantities for “A” and “B” items per year instead of placing one order for whole year and keeping these in stock. The smaller the size of the order the less are the carrying costs. But the same, if more orders are placed then an extra cost is incurred as this may entail hiring more personnel to place and process these orders, and increased paperwork.Therefore the greater number of order in smaller quantities. The lower will be the carrying costs, but the ordering costs may increase. The optimum solution would where the two curves intersect.