System of linear equations

in the α to β transition. There are however certain observations of discontinuities in structural parameters during this transition. The stark contrast is that during the α phase, there are huge thermal expansions or contractions that present a non-linear angular variation. This is the same concept as expansion occurs when temperature increases and thus there will be an increase in volume which is related to the tilting of the tetrahedra.…

Technology: Past vs. Modern The earliest humans created technology in order to help them solve for their needs, they used stones, woods and other materials to manufacture the simplest and most original tools. After that, the younger generation used ancestral experiences and wisdom to continuous improvement and innovation technology in every period. That’s why we have today’s high-technology. Technology is developing faster and faster in each year, however, that’s resulting in people losing…

The shape of the system at point 1 and 2 are labeled and shown below (Figure 5.12). The moment of the system was solved for in ABAQUS and superimposed in red over the shape of the column. It can be seen that the system moment is zero in a variety of places over the course of the loading. One place the moment it zero here is at L/2. The moment at L/2 is only zero during line-contact. Due to the symmetric nature of the buckling sequence, line-contact repeats here throughout the course of…

phenolphthalein was added and the content stirred on a plate stirrer with magnet to fully solubilize pectin.. The solution was titrated against 0.1M NaOH solution till PH 7.5 was attained (when the colour just started to turn pink). The following equation was applied to establish equivalent weight: Equivalent weight (EW)=(weight of pectin sample x 1000)/(volume of alakali (〖cm〗^3 )x Normality of Alkali) The…

demands cause congestion in transmission lines which leads to instability in the power system operation. Distributed generation is used to minimize the power losses and thus to improve the system stability. Improper DG placement may increase system losses, network capital and operating costs. Which is important to find the size and location of distributed generation, inorder to minimize line losses of power system. This paper uses the Maximum Power Stability Index (MPSI) which is derived from…

11a, lab 1: Motion, Measurement and Statistics In the first lab we will investigate the motion of a ball rolling down an inclined plane. We will use this simple system to investigate the concept of systematic and random measurement uncertainties to understand how much we can trust a measurement. We will then compare the experimental outcome with theory. I. Ball on an inclined plane: Measuring motion We want to measure the motion of a ball that rolls down on an inclined plane…

Equations (1.4) and (1.5) can be combined to obtain the equation for piezoelectric polarization as, P_pz=2 (a_s-a_o)/a_o (e_31-c_13/c_33 e_33) (1.6) The total polarization P tot is calculated by summing together the two polarization components: P_tol…

They postulated that the collective memory is shared via the dance language and presented a model that describes the colony's decision-making process using system of non-linear differential equations that has most affect on the total foraging success. This model, however, disregarded some aspects of honey bees foraging process, like individual behavior. In many papers this problem was referred, with a still open question about…

2.10.1 Fuzzy Inference System (FIS) Fuzzy set theory explain this technique to enhance an image of handwritten scripts and for an edge detection of wrist X-ray images. In the case of the contrast enhancement process of an image, the Fuzzy set also seen as a collection of membership functions, where each represents how much degree of corresponding grayscale pixels is possible to be “bright”. In other words, a Fuzzy membership value of the image Fuzzy set can be understood as the degree of…

For any evidence of a civilization ever existing there has to be some form of art or architecture left behind. Clues of a long forgotten government, economy, and social class for scientists to find. Remains of their math and science, religion and literature works left to vanish into thin air. The remnants of Mesopotamia reveal to us that their intellectual achievements were far greater than those of Egypt, in terms of their architecture, economy and government, knowledge in math and science,…