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Binary search Visualization of the binary search algorithm where 7 is the target value Class Search algorithm Data structure Array Worst-case performance O (log n) Best-case performance O (1) Average performance O (log n) Worst-case space complexity O (1) Optimal Yes In computer science, binary search, also known as half-interval search, logarithmic search, or binary chop, is a search ...
For example, subject to certain assumptions, the cost of looking up the integers between and , inclusive, in any binary search tree holding those values, is () when those numbers are queried in bit-reversed order.
Uniform binary search is an optimization of the classic binary search algorithm invented by Donald Knuth and given in Knuth's The Art of Computer Programming.It uses a lookup table to update a single array index, rather than taking the midpoint of an upper and a lower bound on each iteration; therefore, it is optimized for architectures (such as Knuth's MIX) on which
Abstractly, a dichotomic search can be viewed as following edges of an implicit binary tree structure until it reaches a leaf (a goal or final state). This creates a theoretical tradeoff between the number of possible states and the running time: given k comparisons, the algorithm can only reach O(2 k ) possible states and/or possible goals.
MATLAB (an abbreviation of "MATrix LABoratory" [18]) is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks.MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages.
For example, the key may be a geographic position (latitude and longitude) on the Earth. In that case, common kinds of queries are "find the record with a key closest to a given point v ", or "find all items whose key lies at a given distance from v ", or "find all items within a specified region R of the space".
Newton's method in optimization (can be used to search for where the derivative is zero) Golden-section search (similar to ternary search, useful if evaluating f takes most of the time per iteration) Binary search algorithm (can be used to search for where the derivative changes in sign) Interpolation search; Exponential search; Linear search
English: Example of a binary search. This work was inspired by Binary search tree search 4.svg, although it describes a slightly different search; in particular, search starts from element 7 instead of 8 in this picture.