System of linear equations

The harmonics distortion caused by non-linear load such as electric arc furnaces, large concentrations of arc discharge lamps, variable speed motors, saturation of magnetization of transformer and a distorted line current. The current generated by such loads will interact with power system impedance and increases harmonics. Harmonics can lead to degradation of power quality at the consumer’s end, increase of power losses, and malfunction in communication system. The harmonics voltage and current…

Potential planetary targets that have potential to be explored by NASA with manned or robotic missions have been categorized according to this system. Those of the least concern with planetary protection measures include asteroids and the moon of Jupiter Io (4). This is because they have been deemed by NASA as being not important for determining the chemical and evolutionary origins of life.…

equals 8 feet. That means you should set up an equation using tangent (tangent = opposite leg/adjacent leg) The equation would look like that: tan(30°) = b/8 0.5774 = b/8 0.5774/1 = b/8 b = 8(0.5774) b = 4.6188 So you found out that length b measures about 4.6 ft. Now you do basically the exact same thing to solve for c. C is the hypotenuse and the given side is still the adjacent leg of angle 30° (you could also use the side b to solve the equation by using the sine formula) You would use…

the example equation below: Atomic Absorption Calibration Data We were asked to prepare a 10 g/L HCl solution from a 200 g/L standard solution, and found the volume by: Thus, we add 5 mL of 200 g/L HCl to get 100 mL of our 10 g/L HCl solution.…

For math, I am going to discuss the linear programming steps and use the word problem discussed earlier in this essay. I connected my math to the theme by relating the problem to a cheese factory maximization of workers. It connects more to history than the other subject, because I placed…

forward control. Firstly, the transfer function of the linear DC Motor model has to be obtained. Actually in our case, the input of the plant is current so the transfer function of the mathematical model in ratio of angular velocity to current has to be obtained. It is given by: G(s)=Ω_1/I_a =R_A/K_M 1/(T_e s+1) where T_e=(J_meq R_A)/(K_m Cϕ) is electro-mechanical time constant. The feed forward control could be determined using equation G_F=G^(-1)(2.64) as follows: G_F (s)=K_M/R_A (T_e…

According to results of the calculation of wind velocity and wind pressure, that shows the typical distributions.Thus explains why, while wind velocity increases less than linearly with height, pressure instead increases as a nearly linear function of height. Wind pressure is thus positive on the windward side, while it is negative on the leeward side, because of the suction effect produced by the airflow separation.The map of strong winds in Europe gives wind velocities at the standard…

modification of the human ancestral tree and the analysis of various sites. One of the newest sites dealing with human evolution is the Rising Star cave system in South Africa, where a new species of human ancestors, Homo naledi, was discovered. Because of its modernity, quick excavation, and controversial conclusions, the site of the Rising Star cave system is still being actively researched. The remains have yet to be dated and this information would have an important impact…

that class with respect to the feature, so if------- we choose wi. This is called the likelihood ratio approach. We can also include a loss function (ʎ), which can manipulate our decision with respect to the consequence of the error as presented in equation 2. The maximum likelihood is an easy approach to compute but will only work for 2 category case i.e. Dichotomizer. For more than two categories, we have to use a different method, for example discriminant functions, which can be expanded for…

above. w=2πf a=-(〖w)〗^2 x Where w is the angular speed and f is the frequency. Using the equation above for a we can set it equal to the one we found previously to find T using f from angular speed. (-x)/g=-(〖2πf)〗^2 x g/l=(〖2πf)〗^2 √(g/l)=2πf f=√(g/l)/2πf T=2π√(l/g) We can also solve for g to find the acceleration due to gravity from our result by rearranging the equation. g=(4π^2…