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The COR is a property of a pair of objects in a collision, not a single object. If a given object collides with two different objects, each collision has its own COR. When a single object is described as having a given coefficient of restitution, as if it were an intrinsic property without reference to a second object, some assumptions have been made – for example that the collision is with ...
In differential geometry, a one-form (or covector field) on a differentiable manifold is a differential form of degree one, that is, a smooth section of the cotangent bundle. [1] Equivalently, a one-form on a manifold is a smooth mapping of the total space of the tangent bundle of to whose restriction to each fibre is a linear functional on the ...
The apparent plural form in English goes back to the Latin neuter plural mathematica , based on the Greek plural ta mathēmatiká (τὰ μαθηματικά) and means roughly "all things mathematical", although it is plausible that English borrowed only the adjective mathematic(al) and formed the noun mathematics anew, after the pattern of ...
Chapter 1, "The Lesson", explains that economics is a field filled with fallacies because of the difficulties inherent in the subject and the special pleading of selfish interests. [3] Every group has economic interests antagonistic to other groups.
A real (1,1)-form is called semi-positive [1] (sometimes just positive [2]), respectively, positive [3] (or positive definite [4]) if any of the following equivalent conditions holds: − ω {\displaystyle -\omega } is the imaginary part of a positive semidefinite (respectively, positive definite) Hermitian form .
Suppose in period t − 1 the system is in equilibrium, i.e. =. Suppose that in the period t, disposable income Y t {\displaystyle Y_{t}} increases by 10 and then returns to its previous level. Then C t {\displaystyle C_{t}} first (in period t) increases by 5 (half of 10), but after the second period C t {\displaystyle C_{t}} begins to decrease ...
1 Corinthians 1:1–21 in Codex Amiatinus from the 8th century 1 Corinthians 1:1–2a in Minuscule 223 from the 14th century. The epistle may be divided into seven parts: [30] Salutation (1:1–3) Paul addresses the issue regarding challenges to his apostleship and defends the issue by claiming that it was given to him through a revelation from ...
The First Anglo-Afghan War (Pashto: ده انګريز افغان اولني جګړه) was fought between the British Empire and the Emirate of Kabul from 1838 to 1842. The British initially successfully invaded the country taking sides in a succession dispute between emir Dost Mohammad Khan and former King Shah Shujah (), whom they reinstalled upon occupying Kabul in August 1839.