Examples of transcendentalism in the following topics:
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- A transcendental function is a function that is not algebraic.
- Examples of transcendental functions include the exponential function, the logarithm, and the trigonometric functions.
- Formally, an analytic function $ƒ(z)$ of the real or complex variables $z_1, \cdots ,z_n$ is transcendental if $z_1, \cdots ,z_n$, $ƒ(z)$ are algebraically independent, i.e., if $ƒ$ is transcendental over the field $C(z_1, \cdots ,z_n)$.
- Because of this, transcendental functions can be an easy-to-spot source of dimensional errors.
- Identify a transcendental function as one that cannot be expressed as the finite sequence of an algebraic operation
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- Transcendentalism, America's first notable philosophical movement, emphasized the inherent goodness of both man and nature.
- Transcendentalism was America's first notable intellectual and philosophical movement.
- The publication of Ralph Waldo Emerson's 1836 essay Natureis usually considered the watershed moment at which transcendentalism became a major cultural movement.
- In the same year, transcendentalism became a coherent movement with the founding of the Transcendental Club in Cambridge, Massachusetts, on September 8, 1836, by prominent New England intellectuals including Emerson, George Putnam, and Frederick Henry Hedge.
- The transcendentalists desired to ground their religion and philosophy in transcendental principles.
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- Transcendentalism was among the more radical social philosophies of the nineteenth century.
- Transcendentalism was America's first notable intellectual and philosophical movement.
- The publication of Ralph Waldo Emerson's 1836 essay "Nature" is usually considered the watershed moment at which transcendentalism became a major cultural movement.
- In the same year, on September 8 in Cambridge, Massachusetts, transcendentalism became a coherent movement with the founding of the Transcendental Club by prominent New England intellectuals including Emerson, George Putnam, and Frederick Henry Hedge.
- In his 1842 lecture "The Transcendentalist," Emerson suggested that the goal of a purely transcendental outlook on life was impossible to attain in practice.
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- Matthiessen), this period encompasses (approximately) the 1820s to the dawn of the Civil War, and it has been closely identified with American romanticism and transcendentalism.
- The writers and thinkers devoted to transcendentalism, as well as the reactions against it, created a trove of writings, an outpouring that became what has now been termed the "American Renaissance."
- Many writers were drawn to transcendentalism, and they started to express its ideas through new stories, poems, essays, and articles.
- The ideas of transcendentalism were able to permeate American thought and culture through a prolific print culture, which allowed the wide dissemination of magazines and journals.
- These American writers who questioned transcendentalism illustrate the underlying tension between individualism and conformity in American life.
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- The natural logarithm is the logarithm to the base e, where e is an irrational and transcendental constant approximately equal to 2.718281828.
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- Emerson (1803 – 1882) was an American essayist, lecturer, poet, and leader of Transcendentalism in the mid-19th century.
- He formulated and expressed the philosophy of Transcendentalism in his 1836 essay, Nature (1836).
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- Emerson gradually moved away from the religious and social beliefs of his contemporaries, formulating and expressing the philosophy of Transcendentalism in his 1836 essay Nature.
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- The natural logarithm, generally written as $\ln(x)$, is the logarithm with the base e, where e is an irrational and transcendental constant approximately equal to $2.718281828$.
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- The Romantic movement gave rise to New England transcendentalism, which portrayed a less restrictive relationship between God and the universe.
- Transcendentalism and Romanticism appealed to Americans in a similar fashion; both privileged feeling over reason and individual freedom of expression over the restraints of tradition and custom.
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- The real numbers include all the rational numbers, such as the integer -5 and the fraction $\displaystyle \frac{4}{3}$, and all the irrational numbers such as $\sqrt{2}$ (1.41421356… the square root of two, an irrational algebraic number) and $\pi$ (3.14159265…, a transcendental number).