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The engineering trade-off was therefore to use the fastest algorithm that could fit in the available memory. Modern computers are significantly faster than early computers and have a much larger amount of memory available (gigabytes instead of kilobytes). Nevertheless, Donald Knuth emphasized that efficiency is still an important consideration:
Time management is the process of planning and exercising conscious control of time spent on specific activities—especially to increase effectiveness, efficiency and productivity. [ 1 ] Time management involves demands relating to work , social life , family , hobbies , personal interests and commitments.
Graphs of functions commonly used in the analysis of algorithms, showing the number of operations N as the result of input size n for each function. In theoretical computer science, the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm.
Special relativity says, the faster you go, the slower time goes. If you travelled a year at 95% the speed of light; you'd age one year, and people on Earth would age 3.2 years!
Although usually applied to time efficiency, an algorithm can be said to use asymptotically optimal space, random bits, number of processors, or any other resource commonly measured using big-O notation. Sometimes vague or implicit assumptions can make it unclear whether an algorithm is asymptotically optimal.
A general technique to improve performance is to avoid work. A good example is the use of a fast path for common cases, improving performance by avoiding unnecessary work. For example, using a simple text layout algorithm for Latin text, only switching to a complex layout algorithm for complex scripts, such as Devanagari.