关键词:order(序), semimorphism(半态射), rounding invariant structures(舍入的不变量结构), floating-point arithmetic(浮点算术), interval arithmetic(区间算术), exact dot product(精确点积), reliable computing(可靠计算), computing with guarantees(有保证的计算),enclosure methods(封闭方法). semimorphism是...
They may be used to carry out numerous audit tasks, for example, to select a sample, either statistically or judgementally, during arithmetic calculations and checking for gaps in the processing of sequences. Purpose written programs These programs are usu...
Particular algorithms for sorting, searching, set manipulation, arithmetic, graph problems, pattern matching. Prerequisite: CSE 312; CSE 332. CSE 427: Computational Biology Algorithmic and analytic techniques underlying analysis of large-scale biological data sets such as DNA, RNA, and protein sequence...
We define numerical properties of algorithms, including stability and cost . Finally, we apply those concepts to floating-point arithmetic .doi:10.1007/978-1-4614-8453-0_1Robert M. CorlessNicolas FillionSpringer New York
The impact of the new arithmetic on numerical analysis is tremendeous. The new arithmetic has been systematically implemented on a computer. A large number of very general programming packages are available for solving diverse problems of nu-merical analysis. In all these cases a computation with ...
Arithmetic operations are mathematical calculations performed by the CPU on numerical data stored in registers. These operations include addition, subtraction, multiplication, and division. Logic operations are Boolean calculations performed by the CPU on binary data stored in registers. These operations inc...
The only reason I’ve included it here is because we’ll be using similar binary arithmetic in the coming examples. The only time I’ve seen this used in software is when obfuscating code. It’s more familiar for hardware programmers where addition isn’t supported....
Register also helps in arithmetic and logic operations. Arithmetic operations are mathematical calculations performed by the CPU on numerical data stored in registers. These operations include addition, subtraction, multiplication, and division. Logic operations are Boolean calculations performed by the CPU ...
The reasoning behind these concepts was discussed in Chapter 2 but is worth summarizing here. There is a small set of basic logic components that can be combined in various ways to store binary data and perform arithmetic and logical operations on that data. If there is a particular computation...
Error Analysis, Stability Problems, Convergence Problems, High Complexity Numerical Methods, Numerical Mathematics for Non-linear Systems Study, Numerical Computation in Dynamical Systems and Chaos, Simulation, Numerical Analysis problems in Science and Engineering, Special Topics and Applications. Ordinary dif...