Differential equation

modeled by the SPH method, which is a pure Lagrange method and does not need a mesh based on the interpolation theory. It uses a series of uniformly distributed smoothed particles having variety of physical properties to solve the partial differential equations under various conditions. The kernel estimated value f(x) can be expressed as [34–37]:…

Evolution is a growing theory. There are different developing theories and hypotheses that are being tested. Neanderthals are a subspecies of human that have been extinct for approximately 40,000 years (PNAS 2016). According to the tree of life, Modern humans and Neanderthals are closely related to each other. Research proves that modern humans and Neanderthals share 99.5% of the same DNA. Looking around in the world today, there are no Neanderthals present, which means they are extinct. The…

behavior of projection under the combined operation of spatial inversion and charge conjugation. In the present work we study the hybrid in which the gluons are in the first excitation state Λ=1 this state is represented by label Π_u. Radial differential equation for the hybrid mesons is given…

The report was regarded as being extremely valuable, and over the years the document became a cause of tension between Goldstine and von Neumann against Eckert and Mauchly. Eckert fought for the patent rights concerning EDVAC. He and Mauchly claimed that von Neumann "had merely summarized the group’s discussions and that they, Eckert and Mauchly, deserved the full credit for discovery of the fundamental ideas.” The situation escalated to its climax in the Honeywell v. Sperry Rand when Mauchly…

Juvenile delinquency is an umbrella term that characterizes a variety of illegal behaviors committed by minors. The majority of these illegal behaviors are referred to as status offenses, or offenses that are only considered illegal because the perpetrator is underage. One pattern of deviant behavior that is very prominent among juveniles is partaking in risky sexual behaviors, particularly when alcohol or illicit drugs are involved. These risky behaviors most often include having sex with…

Then, he would plug in x+xo for x and y+yo for y, leaving him with the equation 7(y+ýo)-5(x+x’o)^2-2. He would then subtract the original equation from the changed calculation: 7(y+ýo)-5(x+x’o)^2-2-(7y-5x^2-2)=0. 7y+7ýo-5(x^2+2xx’o+x’^2o^2)-2-7y+5x^2+2=0. 7y+7ýo-5x^2-10xx’o-5x’^2o^2-2-7y+5x^2+2=0. 7ýo-10xx’o-5x’^2o^2=0. Then, Newton would divide by o, leaving:…

While the nine classes considered originally began with a total enrolment of approximately 450, students who withdrew midway through the semester or failed to ever attend class are excluded from the results. As a result, there was a very strong positive correlation between the overall scores obtained on the written homework assignments (M = 78.08, SD = 23.07) and the combined exams (M = 72.76 SD = 17.51), with r = 0.71, p < 0.001, N = 375. This is noteworthy given that the exams (which are…

Math is different from any subject matter in many ways. For example, math is spoken in numbers while almost every other topic is spoken with words. Math also uses a different part of your brain than most disciplines. However, as showcased by award-winning film Hidden Figures, math is most significantly unique in it’s ability to break down barriers created by race, gender, and socioeconomic differences and prejudices. The first article, ‘Exploring the Math in 'Hidden Figures', takes a very…

In my 9th grade year I achieved first place in the North Carolina regional math competition this was an event that utterly changed who I am and resulted in the person that I am today. My teacher was at the front of the classroom while I was in the back barely paying attention. That was until I heard my teacher say something that made my ears perk up. My teacher said “... enter the math competition and you will automatically get a 100 on the final exam for this class”. I was purely ecstatic at…

total population of these three compartments is fixed. The SIR model shows the changes in each compartment. This is done by using rate of change equations, which are explained below. Rate of change equation for the population changed from the infectious to the recovery compartment: The rate of change for the recovery group is modeled through the equation: dR/dt= γI (Manning) The infectious compartment will have the disease and be able to transmit it up until a certain number of days, which…