Calculates axis orientation and rotation angles for the Sun, Moon, and planets. Why I Created This Thing I have been an amateur astronomer since childhood. I still remember the amazement I felt when I saw Saturn through a backyard telescope for the first time. As a software developer, I nat...
Soft set theory, initially introduced through the seminal article “Soft set theory—First results” in 1999, has gained considerable attent
Step 2: Solve the first equation From the first equation: 2cosx−1=0 Add 1 to both sides: 2cosx=1 Now, divide both sides by 2: cosx=12 Step 3: Find the values ofxforcosx=12 The cosine function equals12at the angles: x=π3(1st quadrant) ...
I have put you through all of this derivation so that, if you care, you can program the above equations and solve for the fracture tensor yourself. I chose Mathcad for programming rather than some other software like Matlab, because I find it more visually instructive. You can easily program...
as it makes use of three different evolution solvers: (i) the time-independent Hamiltonian diagonal solver, (ii) the average Hamiltonian theory, implemented up to third order but easily extendable to higher orders as required, and (iii) QuTiP with its different master equations [30], [31]. ...
The worst way to deform a mesh element without inverting it is to skew it. Askewed mesh elementhas angles that deviate substantially from 90°. Badly skewed elements have a negative impact on both the local accuracy and the condition number of the equation system (the equations are harder to...
To solve the problem, an actuator based on sliding mode to improve the robustness and stability is proposed [9–14]. Besides, the adaptive robust control is also a useful method to deal with the problem [15]. Moreover, model predictive control (MPC) strategy is also a popular method to ...
The object of this research is the liner sample installed in the "Impedance Tube" experimental set-up (which is used for measuring of the liner acoustic characteristics) and placed at the center of the perforated liner. The boundary condition used at the impedance tube inlet is the unsteady ...
(2.37) Equations (2.17) to (2.25) and Equations (2.32), (2.33), (2.34) and (2.37) are what we required to set up for generating the differential equations of motion in terms of the Eulerian parameters with s, (or &in) as independent variable. Particular- ization of these formulae ...
These may be represented by xy line equations with an associated θ value that describes the elevation of the line about the xy-plane. In the non-parallel case, the ev-ev edge corresponds to a curve that is a function of θ with this curve being represented by two scalar functions: fx ...