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Hence, the condition is more generally stated as an invariance of the form () under canonical transformation, expanded as: = If the above is obeyed for any arbitrary variations, it would be only possible if the indirect conditions are met. [6] [7] The form of the equation, is also known as a symplectic product of the vectors and and the ...
When the condition refers to the past, but the consequence to the present, the condition clause is in the past perfect (as with the third conditional), while the main clause is in the conditional mood as in the second conditional (i.e. simple conditional or conditional progressive, but not conditional perfect).
Change of variables is an operation that is related to substitution. However these are different operations, as can be seen when considering differentiation or integration (integration by substitution). A very simple example of a useful variable change can be seen in the problem of finding the roots of the sixth-degree polynomial:
Impermanence, also known as the philosophical problem of change, is a philosophical concept addressed in a variety of religions and philosophies. In Eastern philosophy it is notable for its role in the Buddhist three marks of existence .
Other terms used include grave, extremely critical, critical but stable, serious but stable, guarded, [3] and satisfactory.. The American Hospital Association has advised doctors not to use the word "stable" either as a condition or in conjunction with another condition, especially one that is critical, as it inherently implies unpredictability and the instability of vital signs. [2]
This is accomplished by solving heat equations in both regions, subject to given boundary and initial conditions. At the interface between the phases (in the classical problem) the temperature is set to the phase change temperature. To close the mathematical system a further equation, the Stefan condition, is required. This is an energy balance ...
Difference in conditions (DIC) insurance policy is a form of expanded coverage designed to supplement standard insurance policies by covering what they may lack. This type of insurance is ...
Condition numbers can also be defined for nonlinear functions, and can be computed using calculus.The condition number varies with the point; in some cases one can use the maximum (or supremum) condition number over the domain of the function or domain of the question as an overall condition number, while in other cases the condition number at a particular point is of more interest.