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The survival function is a function that gives the probability that a patient, device, or other object of interest will survive past a certain time. [1] The survival function is also known as the survivor function[2] or reliability function. [3] The term reliability function is common in engineering while the term survival function is used in a ...
Differential calculus. Derivative. Notation. Newton's notation for differentiation. Leibniz's notation for differentiation. Simplest rules. Derivative of a constant. Sum rule in differentiation. Constant factor rule in differentiation.
Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of infinitesimals ", it has two major branches, differential calculus and integral calculus.
One quality-adjusted life year (QALY) is equal to 1 year of life in perfect health. [5] It combines two different benefits of treatment—length of life and quality of life—into a single number that can be compared across different types of treatments. For example, one year lived in perfect health equates to 1 QALY.
Actuarial notation is a shorthand method to allow actuaries to record mathematical formulas that deal with interest rates and life tables. Traditional notation uses a halo system, where symbols are placed as superscript or subscript before or after the main letter. Example notation using the halo system can be seen below.
Years of potential life lost. Years of potential life lost (YPLL) or potential years of life lost (PYLL) is an estimate of the average years a person would have lived if they had not died prematurely. [1] It is, therefore, a measure of premature mortality. As an alternative to death rates, it is a method that gives more weight to deaths that ...
Life table. In actuarial science and demography, a life table (also called a mortality table or actuarial table) is a table which shows, for each age, the probability that a person of that age will die before their next birthday ("probability of death "). In other words, it represents the survivorship of people from a certain population. [1]
Outline of calculus. Calculus is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of contemporary mathematics education. Calculus has widespread applications in science, economics, and engineering and can solve many problems for which algebra alone is ...