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A prompt in a filter will ask the user that runs the report to supply a value to be used in the filter criteria A prompt can be used in a filter with Usage set to Always, but if the Usage is set to Optional, then the user can supply a value for the filter or the user can choose not to supply a value, in which case the filter will not be applied While you can add a prompt filter in your query subject, remember that the report user will be prompted every time he or she runs a report that uses any item from that query subject That is why we rarely put the prompt filter into the query subject If necessary in a particular report, a prompt filter can be added in Report Studio, as was covered earlier in this book The third filter usage setting is Design Mode Only Design mode filters can be used when testing a query subject by applying them on the Test Setting tab of the Options dialog, discussed earlier in this chapter Also, the design mode filter can be employed in Query Studio or Report Studio to get only a test sampling of the results

During this same initialization period while the vehicle is assumed to be non-accelerating, the gyro outputs can be averaged to provide initial estimates of the gyro biases Ideally the earth rate b would be subtracted ie from the gyro measurements; however, the gyros used in AHRS applications may not be su ciently accurate to resolve the Earth rate

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Given that the Earth gravity g and magnetic eld m vectors are not have the same direction, an alternative approach to attitude initialization can be developed by de ning the vector r = g m which is orthogonal to both g and m In the navigation frame, we form the matrix me 0 0 (1019) An = [mn , gn mn , gn ] = 0 me ge 0 0 0 ge which is known Because mb = Rb mn , rb = Rb rn , and gb = Rb gn , we n n n have that (1020) Ab = Rb An n where Ab = mb , gb mb , gb (1021) Given the vectors gb and mb de ned in eqns (1013) and (1017), respec tively, we can compute Ab = [mb , gb mb , gb ] from the accelerometer and magnetometer measurements From eqn (1020) with Ab and An known, the initial value of the rotation matrix can be computed as

The radius that an object must attain in order to become a black hole is directly proportional to the mass From elementary solid geometry, you will recall that the volume of an object is proportional to the cube of the radius If an object s mass is doubled, the size of its Schwarzchild radius doubles too However, its volume becomes eight times as great This means that the more massive a black hole happens to be, the less dense it is In fact, the density of a black hole is inversely proportional to the square of its mass (Fig 15-4) Suppose that before there were any stars in the Universe, but only hydrogen and helium gas, vast clouds congealed because of gravitation Suppose that this took place on a much bigger scale than the process of star formation If such a cloud were large enough, it could become a black hole before it attained a density anywhere near enough to start nuclear fusion The black hole would continue to pull matter in, becoming larger still and yet less dense As the atoms approached the event horizon, they would be accelerated to nearly the speed of light This would give them tremendous kinetic energy, and the result would be an object of brilliance greater than that of

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