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Figure 1: Parallelogram construction for adding vectors. This construction has the same result as moving F 2 so its tail coincides with the head of F 1, and taking the net force as the vector joining the tail of F 1 to the head of F 2. This procedure can be repeated to add F 3 to the resultant F 1 + F 2, and so forth.
The resulting vector is sometimes called the resultant vector of a and b. The addition may be represented graphically by placing the tail of the arrow b at the head of the arrow a, and then drawing an arrow from the tail of a to the head of b. The new arrow drawn represents the vector a + b, as illustrated below: [7] The addition of two vectors ...
The colon comes from a general Scala syntax mechanism whereby the apparent infix operator is invoked as a method on the left operand with the right operand passed as an argument, or vice versa if the operator's last character is a colon, here applied symmetrically. Scala also features the tree-like folds using the method list.fold(z)(op). [11]
In computer science, a double-ended queue (abbreviated to deque, / d ɛ k / DEK [1]) is an abstract data type that generalizes a queue, for which elements can be added to or removed from either the front (head) or back (tail). [2] It is also often called a head-tail linked list, though properly this refers to a specific data structure ...
Enone–alkene cycloadditions can produce two isomers, depending on the orientation of substituents on the alkene and the enone carbonyl group. When the enone carbonyl and substituent of highest priority are proximal, the isomer is termed "head-to-head." When the enone carbonyl and substituent are distal, the isomer is called "head-to-tail."
However, it is possible for defects to form where substituents are placed on adjacent carbon atoms, producing a head/head tail/tail configuration, such as by recombination of two growing radical chains, or by direct head-head addition if steric effects are weak enough, such as in polyvinylidene fluoride.
For Minkowski addition, the zero set, {}, containing only the zero vector, 0, is an identity element: for every subset S of a vector space, S + { 0 } = S . {\displaystyle S+\{0\}=S.} The empty set is important in Minkowski addition, because the empty set annihilates every other subset: for every subset S of a vector space, its sum with the ...
This discussion will be technical, so recall that, for a list, | | denotes its length, that NIL represents an empty list and (,) represents the list whose head is h and whose tail is t. The data structure used to implement our queues consists of three singly-linked lists ( f , r , s ) {\displaystyle (f,r,s)} where f is the front of the ...