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The development of the human mind is complex and a debated subject, and may take place in a continuous or discontinuous fashion. [4] Continuous development, like the height of a child, is measurable and quantitative, while discontinuous development is qualitative, like hair or skin color, where those traits fall only under a few specific phenotypes. [5]
In the history of ideas, the continuity thesis is the hypothesis that there was no radical discontinuity between the intellectual development of the Middle Ages and the developments in the Renaissance and early modern period. Thus the idea of an intellectual or scientific revolution following the Renaissance is, according to the continuity ...
The term removable discontinuity is sometimes broadened to include a removable singularity, in which the limits in both directions exist and are equal, while the function is undefined at the point . [a] This use is an abuse of terminology because continuity and discontinuity of a function are concepts defined only for points in the function's ...
The dichotomy is used to discuss and evaluate the extent to which a historical development or event represents a decisive historical change or whether a situation remains largely unchanged. A good example of this discussion is the question of how much the Peace of Westphalia in 1648 represents an important change in European history.
A Riemann problem, named after Bernhard Riemann, is a specific initial value problem composed of a conservation equation together with piecewise constant initial data which has a single discontinuity in the domain of interest.
For example, suppose the treatment is passing an exam, where a grade of 50% is required. In this case, this example is a valid regression discontinuity design so long as grades are somewhat random, due either to the randomness of grading or randomness of student performance.
He adopted discontinuity as a positive working tool. Some of the discourse would be regular and continuous over time as knowledge steadily accumulates and society gradually establishes what will constitute truth or reason for the time being. But, in a transition from one era to the next, there will be overlaps, breaks and discontinuities as ...
The law of continuity is a heuristic principle introduced by Gottfried Leibniz based on earlier work by Nicholas of Cusa and Johannes Kepler. It is the principle that "whatever succeeds for the finite, also succeeds for the infinite". [ 1 ]