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This approximation is crucial to many known numerical techniques such as Euler’s Method to approximate solutions to ordinary differential equations. The idea to use linear approximations rests in the closeness of the tangent line to the graph of the function around a point.
The equation that…
YIN AND YANG
[concept]
in Asian philosophy and Chinese philosophy, the concept of yin yang (simplified Chinese: 阴阳; traditional Chinese: 陰陽; pinyin: yīnyáng), which is often referred to in the West as “yin and yang”, literally meaning “dark and light”, is used to describe how polar opposites or seemingly contrary forces are interconnected and interdependent in the natural world, and how they give rise to each other in turn. Opposites thus only exist in relation to each other. The concept lies at the origins of many branches of classical Chinese science and philosophy, as well as being a primary guideline of traditional Chinese medicine, and a central principle of different forms of Chinese martial arts and exercise, such as baguazhang, taijiquan (t’ai chi), and qigong (Chi Kung) and of I Ching divination. Many natural dualities - e.g. dark and light, female and male, low and high, cold and hot, water and fire, earth and air - are thought of as manifestations of yin and yang (respectively).
Yin yang are not opposing forces (dualities), but complementary opposites, unseen (hidden, feminine) and seen (manifest, masculine), that interact within a greater whole, as part of a dynamic system. Everything has both yin and yang aspects as light cannot exist without darkness and vice-versa, but either of these aspects may manifest more strongly in particular objects, and may ebb or flow over time. The concept of yin and yang is often symbolised by various forms of the Taijitu symbol, for which it is probably best known in western cultures.
There is a perception (especially in the West) that yin and yang correspond to evil and good. However, Taoist philosophy generally discounts good/bad distinctions and other dichotomous moral judgments, in preference to the idea of balance. Confucianism (most notably the philosophy of Dong Zhongshu, c. the 2nd century BCE) did attach a moral dimension to the idea of yin and yang, but the modern sense of the term largely stems from Buddhist adaptations of Taoist philosophy.
(Source: ifwemetupatmidnight)
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