The Gauss rifle was found on a number of heavier Star League Defense Force 'Mechs, but fell out of use in the Inner Sphere during the technological decline of the Succession Wars. Using the Gauss rifle in this way however has a high chance of causing damage to the weapon. Though Gauss rifles fire standardized rounds, described as being melon-shaped and 30cm in diameter, they are technically capable of utilizing any object which can be propelled by magnets as "ammunition." In an emergency a 'Mech could even muzzle-load their weapon with something like a steel girder if their ammunition feed was disabled. (In game terms, a critical hit on a Gauss rifle is equivalent to a 20-point ammo explosion.) Some 'Mechs employ CASE in the section containing the Gauss rifle to protect internal components in the event the weapon explodes. However, if the weapon itself is struck by enemy fire, the capacitors that power the electromagnets will release their stored energy, with an effect similar to an ammo explosion. Since the Gauss rifle fires solid metal slugs, with neither propellant nor explosive, Gauss rifle magazines are not susceptible to ammunition explosions. If for example a pilot tried to fire both a Gauss rifle and several lasers at once, there would be a delay in the time it would take to get the entire salvo off. The Gauss rifle also has fairly heavy power requirements which, if used at the same time as similarly energy-intensive systems, forces the unit's computer to cycle and allocate power to meet the demands. However, the sheer mass and bulk of the weapon limits its applications. Unlike most traditional ballistic weapons, the Gauss rifle does not use combustible propellant, so its firing generates very little heat. So powerful is it that one hit from a Gauss rifle is capable of killing nearly any Light 'Mech. Let $x$ and $y$ be two independent normal variates each distributed with zero mean and a common variance it is then well-known that the quotient $x/y$ follows the Cauchy law distributed symmetrically about the origin.Introduced in 2590 by the Terran Hegemony, the Gauss rifle utilizes a series of electromagnets to propel slugs of ferrous nickel-iron alloy at extremely high velocities, making it a devastating and lethal long-range weapon. Now the question that naturally arises is whether we can obtain a characterization of the normal distribution by this property of the quotient. This converse problem can be more precisely formulated as follows: Let $x$ and $y$ be two independently and identically distributed random variables having a common distribution function $F(x)$. Let the quotient $w = x/y$ follow the Cauchy law distributed symmetrically about the origin $w = 0$. Then the question is whether $F(x)$ is normal. Beam Column with Arbitrary Cross Section Subject to Bending and. But this converse is not true in general. The author has recently constructed a very simple example of a non-normal distribution where the quotient $x/y$ follows the Cauchy law. Steck has also given some examples of non-normal distributions with this property of the quotient. In the present paper we shall first derive some interesting general properties possessed by the class of distribution laws $F(x)$. Activate a freshly created dedicated virtual environment by source activate xsection (skip a word source on Windows). In Section 3 we deduce a characterization of the normal distribution under some conditions on the distribution function $F(x)$. This will add a (xsection) at the beginning of your command line, signalling that you are using this virtual env. ONLY FOR WINDOWS: If you are using Windows, you will first have to install GDAL, Fiona and Shapely as a. Finally in Section 4 we construct an example of a non-normal distribution function $F(x)$ having finite moments of all orders where the quotient $x/y$ follows the Cauchy law. The method of proof is essentially based on the applications of Fourier transforms of distribution functions.
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