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Coupon collector's problem. In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: if each box of a given product (e.g., breakfast cereals) contains a coupon, and there are n different types of coupons, what is the probability that more ...
The Official Table of Drops, formerly issued by the British Home Office, is a manual which is used to calculate the appropriate length of rope for long drop hangings . Following a series of failed hangings, including those of John Babbacombe Lee, a committee chaired by Henry Bruce, 1st Baron Aberdare was formed in 1886 to discover and report on ...
The first equation shows that, after one second, an object will have fallen a distance of 1/2 × 9.8 × 1 2 = 4.9 m. After two seconds it will have fallen 1/2 × 9.8 × 2 2 = 19.6 m; and so on. The next-to-last equation becomes grossly inaccurate at great distances. If an object fell 10 000 m to Earth, then the results of both equations differ ...
v. t. e. Body mass index ( BMI) is a value derived from the mass ( weight) and height of a person. The BMI is defined as the body mass divided by the square of the body height, and is expressed in units of kg/m 2, resulting from mass in kilograms (kg) and height in metres (m). The BMI may be determined first by measuring its components by means ...
v. t. e. The Jeans instability is a concept in astrophysics that describes an instability that leads to the gravitational collapse of a cloud of gas or dust. [ 1] It causes the collapse of interstellar gas clouds and subsequent star formation. It occurs when the internal gas pressure is not strong enough to prevent the gravitational collapse of ...
Terminal velocity. The downward force of gravity ( Fg) equals the restraining force of drag ( Fd) plus the buoyancy. The net force on the object is zero, and the result is that the velocity of the object remains constant. Terminal velocity is the maximum speed attainable by an object as it falls through a fluid ( air is the most common example).
The Morse Fall Scale (MFS) is a rapid and simple method of assessing a patient ’s likelihood of falling. [ 1] A large majority of nurses (82.9%) rate the scale as “quick and easy to use,” and 54% estimated that it took less than 3 minutes to rate a patient. "The scale consists of six items reflecting risk factors of falling such as: (i ...
The capillary length or capillary constant is a length scaling factor that relates gravity and surface tension. It is a fundamental physical property that governs the behavior of menisci, and is found when body forces (gravity) and surface forces ( Laplace pressure) are in equilibrium. The pressure of a static fluid does not depend on the shape ...