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The two kinds of righteousness is a Lutheran paradigm (like the two kingdoms doctrine).It attempts to define man's identity in relation to God and to the rest of creation. The two kinds of righteousness is explicitly mentioned in Luther's 1518 sermon entitled "Two Kinds of Righteousness", in Luther's Commentary on the Epistle to the Galatians (1535), in his On the Bondage of the Will ...
The felicific calculus is an algorithm formulated by utilitarian philosopher Jeremy Bentham (1748–1832) for calculating the degree or amount of pleasure that a specific action is likely to induce. Bentham, an ethical hedonist , believed the moral rightness or wrongness of an action to be a function of the amount of pleasure or pain that it ...
Imputed righteousness is a concept in Christian theology proposing that the "righteousness of Christ ... is imputed to [believers]—that is, treated as if it were theirs—through faith." [ 1 ] : 106 It is on the basis of Jesus' righteousness that God accepts humans.
Divine Proportions does not assume much in the way of mathematical background in its readers, but its many long formulas, frequent consideration of finite fields, and (after part I) emphasis on mathematical rigour are likely to be obstacles to a popular mathematics audience. Instead, it is mainly written for mathematics teachers and researchers.
In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector that represents a point P in space. Its length represents the distance in relation to an arbitrary reference origin O , and its direction represents the angular orientation with respect to given reference axes.
Essentially, the root is being approximated by replacing the actual function by a line segment on the bracketing interval and then using the classical double false position formula on that line segment. [9] More precisely, suppose that in the k-th iteration the bracketing interval is (a k, b k).
For example, the orientation in space of a line, line segment, or vector can be specified with only two values, for example two direction cosines. Another example is the position of a point on the Earth, often described using the orientation of a line joining it with the Earth's center, measured using the two angles of longitude and latitude.
In China, Pei Xiu (224–271) identified "measuring right angles and acute angles" as the fifth of his six principles for accurate map-making, necessary to accurately establish distances, [5] while Liu Hui (c. 263) gives a version of the calculation above, for measuring perpendicular distances to inaccessible places.