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Q: What descriptions best defines the term logistic growth a type of growth that is linear at first but slows as the amount reaches a certain minimum value?
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How did the Egyptians know when it was the summer solstice?

They could see the length of shadows reaching a minimum each day, and the daily minimum would also have a yearly minimum, and that defines the summer solstice.


Compare exponential growth with logistic growth?

Exponential growth occurs when numbers increase by a certain factor in each successive time period. Logistic growth is population growth that starts with a minimum number of individuals and reaches a maximum depending on the carrying capacity of the habitat. In exponential growth population grows slowly when it's small, but as the population gets larger, growth speeds up. In logistic growth, when the population is small, the growth rate is fast because there are plenty of natural resources. (Logistic) As the population approaches the carrying capacity, resources become scarce. Completion for food, shelter and mates increases between individuals of a population. As a result, the growth rate slows. Exponential growth, grows fast in the beginning and then slows down. Logistic growth grows slow in the beginning and then speeds up.


What is the minimum required sample size for running logistic regression?

In fitting a logistic regression, as in applying any statistic method, the required sample size depends on the level of dispersion in the population and the quality of the statistics that you are prepared to accept. Usually there will be some information available somewhere (in the literature, say, or from colleagues) suggesting what level of variability to expect in data that is collected. This can be used to simulate some data sets and the logistic regression results that would arise from them. By varying the sizes of the data sets you can make a judgement. Once you have collected your first sample and fit the actual logistic regression to it you will have a much better idea how much data is actually required for useful estimates.


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What are the principles in the Logistics of movements?

The following logistic principles are not a checklist but rather a guide for analytical thinking and prudent planning:Responsiveness. Responsiveness is the right support in the right place at the right time. This is the keystone of the logistic principles, for all else becomes irrelevant if the logistic system cannot support the concept of operations of the supported commander.Simplicity. Simplicity is avoidance of complexity and often fosters efficiency in both the planning and execution of national and theater logistic operations.Flexibility. Flexibility is the ability to adapt logistic structures and procedures to changing situations, missions, and concepts of operations. Logistics plans and operations must be flexible to achieve both responsiveness and economy.Economy. Economy is the provision of support at the least cost. This element must continually be considered.Attainability. Attainability (or adequacy) is the ability to provide the minimum essential supplies and services required to begin combat operations. An operation should not begin until minimum essential levels of support are on hand.Sustainability. Sustainability is a measure of the ability to maintain logistic support to all users throughout the theater for the duration of the operation. This focuses the supporting commander's attention on long-term objectives and capabilities of the supported forces.Survivability. Survivability is the capacity of the organization to prevail in the face of potential destruction. Active measures must include a plan for ground defense of logistic installations with provisions for reinforcement and fire support. Passive measures include dispersion, physical protection of personnel and equipment, deception, and limiting the size and capabilities of an installation to what is essential for the mission. (JP 4-0, Chapter II, paras 1 & 2)


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A global minimum is a point where the function has its lowest value - nowhere else does the function have a lower value. A local minimum is a point where the function has its lowest value for a certain surrounding - no nearby points have a lower value.