ThesaurusAntonymsRelated WordsSynonymsLegend: Switch tonew thesaurus Noun1.mathematical operation- (mathematics) calculation by mathematical methods; "the problems at the end of the chapter demonstrated the mathematical processes involved in the derivation"; "they were learning the basic operations of arith...
Synonyms for mathematical operation noun(mathematics) calculation by mathematical methods Synonyms mathematical process operation Related Words calculation computation computing permutation combination differentiation maximization integration exponentiation involution arithmetic operation matrix operation construction relaxation...
For instance, instead of using the terms 'carry' and 'borrow' in teaching simple mathematical operations, it will be better to use 'regroup' or 'trade' which actually describe the processes used in addition and subtraction algorithms. Essentially, teachers should use the words that mathematicians...
In other words,\(\text {VI}\big (G, \text {SOL}(F,Y)\big )\)is the problem of finding\(x \in {\mathbb {R}}^n\)that solves $$\begin{aligned} x \in \text {SOL}(F,Y), \quad G(x)^{\scriptscriptstyle T}(y-x) \ge 0,\quad \forall \,y\in \text {SOL}(F,Y)....
An efficient strategy is one for which there does not exist another strategy that has higher mean and no higher variance, and/or has lower variance and no lower mean at the terminal time T. In other words, an efficient strategy is one that is Pareto optimal. By Definitions 2.1 and 2.2,...
However, in mathematical definitions the words “and only if” generally are omitted and are understood implicitly, particularly when the defined word or phrase is displayed in boldface or italics. For instance, in our earlier sentence Statement A is stronger than statement B if A ⇒ B; then...
In the field of machine-learning, two main types of tools are available: supervised and unsupervised learning. The principal distinction between the two kinds of tools is that supervised learning is carried out by means of ground truth. In other words, prior knowledge of the output data values...
expressions(opens in new tab). This process works like a “language translation” for math—once the model comprehends the symbolic representation, it can understand the underlying logic. This way, LLMs can perform various operations like calculators while maintaining strong gener...
Carry through in detail all the algebraic or geometric operations which you have recognize previously as feasible.Convince yourself of the correctness of each step by formal reasoning, or by intuitive insight, or both ways if you can. If your problem is very complex you can distinguish “great...
Furthermore, it is very difficult to modify our language so that it will be able to describe these atomic processes, for words can only describe things of which we can form mental pictures, and this ability, too, is a result of daily experience. Fortunately, mathematics is not subject to ...