<snip 200 lines of Kanga shit now he's an x malcolm.. Does Google let you snip stuff? Clearly we are now entering the last stages of WW1 , and there is only room for one winner , islam christianity and judaism can never co exist The principle has been paraphrased into the maxim complete competitors cannot coexist .[1] this WAR will escalate until only one survives as distinct to superpowers who will come and go , the desire to have a GOD is universal and always will be , but the battles / WARS over the right to believe can only end when one of these 3 over runs the other 2 , all other smaller belief systems will fade away , and its clear Islam will , given time , replace all others _base_d on sheer numbers and toughness , survival of the fittest , Islam is growing very fast despite or indeed because of the hardship NOTHING can stop Islam from replacing ALL other religions , in time WHO CARES what you or I believe or what the books say , it matters not now we are trapped in a WAR that the christians and jews STARTED in 1914, some say 1492 , and it will never end until only ONE religion remains , there can never be peace again until the western white christians and jews are prevented from invading one country after another as they have done for the last 500 years the time has arrived to END the war forever , it wont be pretty and billions will die , but christian and jewish / funded by western taxpayers , will NEVER act like civilized human beings UNTIL they are exposed as the REAL terrorists of the last 500 years who have invaded EVERY country on EARTH , many several times , in their endless lust for power and stolen wealth ALL men and women of goodwill MUST help end the WAR the western christians and jews started in 1914 then the TRUTH will end the madness that has bought about this un winnable war for christian and jews gods and their wealthy jewish bankers In ecology: modeling population growth A logistic function or logistic curve is the most common sigmoid curve. It models the S-shaped curve (abbreviated S-curve) of growth of some set[1] P, where P might be thought of as population. The initial stage of growth is approximately exponential; then, as saturation begins, the growth slows, and at maturity, growth stops.
http://en.wikipedia.org/wiki/Verhulst_equation#The_Verhulst_equation Competitive exclusion principle From Wikipedia, the free encyclopedia Jump to: navigation, search In community ecology, the competitive exclusion principle,[1] sometimes referred to as Gause's Law of competitive exclusion or just Gause's Law,[2] is a proposition which states that two species competing for the same resources cannot stably coexist if other ecological factors are constant. One of the two competitors will always overcome the other, leading to either the extinction of this competitor or an evolutionary or behavioral shift towards a different ecological niche. The principle has been paraphrased into the maxim complete competitors cannot coexist .[1]
http://en.wikipedia.org/wiki/Competitive_exclusion_principle original message at: http://docs.google.com/View?id=dcgk9t7p_228cgf63ncb Pierre-François Verhulst (1804-1849) A typical application of the logistic equation[5] is a common model of population growth, originally due to Pierre-François Verhulst in 1838, where the rate of reproduction is proportional to: * The existing population * The amount of available resources all else being equal. Thus the second term models the competition for available resources, which tends to limit the population growth. Letting P represent population size (N is often used in ecology instead) and t represent time, this model is formalized by the differential equation: frac{dP}{dt}=rPleft(1 - frac{P}{K}right) where the constant r defines the growth rate and K is the carrying capacity. Interpreting the equation shown above: the early, unimpeded growth rate is modeled by the first term +rP. The value of the rate r represents the proportional increase of the population P in one unit of time. Later, as the population grows, the second term, which multiplied out is -rP2/K, becomes larger than the first as some members of the population P interfere with each other by competing for some critical resource, such as food or living space. This antagonistic effect is called the bottleneck, and is modelled by the value of the parameter K. The competition diminishes the combined growth rate, until the value of P ceases to grow (this is called maturity of the population).christianity has entered the stage of decline as Islam is set to double in the next 15 years , then double again in the next 15 years _base_d on present birth rates Let us divide both sides of the equation by K[6] to give frac{d}{dt}frac{P}{K}=rfrac{P}{K}left(1 - frac{P}{K}right) Now setting x = P / K gives us the differential equation frac{dx}{dt} = r x (1-x) For r = 1 we have the particular case with which we started. In ecology, species are sometimes referred to as r-strategist or K- strategist depending upon the selective processes that have shaped their life history strategies. The solution to the equation (with P0 being the initial population) is P(t) = frac{K P_0 e^{rt}}{K + P_0 left( e^{rt} - 1right)} where lim_{ttoinfty} P(t) = K., Which is to say that K is the limiting value of P: the highest value that the population can reach given infinite time (or come close to reaching in finite time). It is important to stress that the carrying capacity is asymptotically reached independently of the initial value P (0) 0, also in case that P(0) K. [edit] Time-varying carrying capacity Since the environmental conditions influences the carrying capacity, as a consequence it can be time-varying: K(t) 0, leading to the following mathematical model: frac{dP}{dt}=rPleft(1 - frac{P}{K(t)}right) A particularly important case is that of carrying capacity that varies periodically with period T: K(t+T) = K(t)., It can be shown that in such a case, independently from the initial value P(0) 0, P(t) will tend to a unique periodic solution P*(t), whose period is T. A typical value of T is one year: in such case K(t) reflects periodical variations of weather conditions. even primary school maths can tell Islam will sooner or later win the WAR _base_d on simple numbers Only blind fools refuse to accept the basic numbers Every day there are MORE Muslims and less christians and jews Its only a matter of time play GAMES with the numbers if you want The end result is very very easy to see to anybody who really cares to crunch the numbers kanga ======