Rate equation

civilizations. One source of these estimates is the Drake equation, created by Frank Drake of SETI, in which the number of civilizations capable of communication is derived…

clock turns hours to days and days to years, details begin to protrude, warping the facade of childhood stories to their true state, presenting anything but a happy ending. Such stories are presented as Popular Mechanics by Raymond Carver, The Cold Equations by Tom Godwin, and This Year’s Class Picture by Dan Simmons, these three tales strive to entertain and warn about the choices and consequences of life and how it is not always what is desired. These three authors all portray characters as…

correlation between the two subjects to be viewed easier. Trend lines help people accurately determine future outcomes that can come in handy if there is a problem. This is possible because trend lines make it easier to find the slope intercept equation. This equation could be used to find future points in the graph. In this essay I will try to determine who is the best basketball player between Lebron James and Michael Jordan by using a trend line. Before finding the better player, we first…

started off by allowing students to solve a quadratic I had written on board. However the quadratic equation I had written on the board was the wrong equation so students got stuck when they tried to use the quadratic equation because they got a negative under the square root. From there, we went to the graph of the quadratic to see if that would be able to help identify the x-intercepts. But, the equation didn’t have any real solutions so there were no x-intercepts for us to use. Next, I…

It seemed like all the large questions had been answered. The behaviour of bodies, from asteroids to galaxies, was predicted by Sir Isaac Newton 's laws of gravity and motion. Magnetism, electricity and light were linked by James Clerk Maxwell’s Equations. The understanding of the atom had reached the plum pudding stage, where an atom was a globe of 'stuff ' with the positive and negative charges speckled throughout. Physicists were confident that all the important things had been discovered,…

Coulomb interaction operator, is a spherically symmetric component of the polarization energy operator, and ( herrU,ˆ ()rVˆ is the dielectric solvation energy operator. To obtain the explicit form of these operators we solve analytically the Poisson equation for a potential due to a point charge in the core/shell structure with the standard boundary conditions that account for discontinuity of the dielectric constant at hetero-interfaces.3 As a result, we obtain the following solutions: 3…

CFO Tool 3 & 4 Whoever you are, and whatever income or debt you have, I think it is important to try to think of yourself like a business entity. Like a business you will have income and expenses. A balance sheet and an income statement tell a business what they are worth, defines income and spending, and also helps the firm set and measure goals. Both of these tools are useful for long term planning. A business is often measured by profits, and your budget is the same way. Since the…

functions, otherwise the equation will not be able to solve. An important rule to understand when deriving the quadratic formula by completing the square, is that the leading term must equal to “1”. On the other hand, if the leading term does not equal to “1”, one will have to factor the equation by dividing each term by the leading term. The quadratic equation must start as the following: 〖ax〗^2+bx+c=0. Next, the constant number is to be moved to the other side of the equation. Another…

at . Next, Hopf bifurcation at : The Jacobian matrix corresponding to is given by (36) where and its nonzero elements are defined as in (14) and (15) with & replaced by & respectively. The characteristic equation corresponding to obeys (37) where the coefficients are defined as in (16). By the Routh–Hurwitz criteria, all the roots of (37) will have negative real parts if , and It is required for a Hopf bifurcation that…

in which the vessel will travel. They take no time to consider that an unforeseen variable could spiral into the equation. The algorithm developed to produce their answer leaves no room for error, after-all it is a formula birthed by the forces that keep planets spinning and maintain gravitational pressure, human hands cannot alter the design of such a thing. The product of the equation is exact. There are never miscalculations, only misconceptions about what the answer should have been made…