Question: Elaborate on how to prove that two Gaussian vectors are independent. Gaussian Vectors: The number of vectors defined as such are said to be Gaussian when each of the vectors individually follows the Gaussian distribution for all real numbers. ...
We determine the probability $P$ of two independent events $A$ and $B$, which\noccur randomly $n_A$ and $n_B$ times during a total time $T$ and last for $t_A$\nand $t_B$, to occur simultaneously at some point during $T$. Therefore we first\nprove the precise equation \\...
If A, B, and C are pairwise-independent events, are A \cap B and C independent? How about A \cup B and C? How about if A, B, and C are mutually-independent? Justify your answers. How to prove something is a subset? Prove that A is a proper subset of B if and only...
Cultivation-independent methods are highly recommended to test for axenic conditions. A combination of flow-cytometry and 16S rRNA gene amplicon sequencing complement each other and will yield the most reliable result. Keywords: axenicity verification; microalgae; LB-agar-plate test; epifluorescence ...
To address the relationship between Rashi’s inversion, and the modern medical gaze: A modern medical gaze sees a spectrum, rather than two sharply defined sexes. Modern gender theories also see a spectrum of gender roles, as independent as they proved to be of the spectrum of sexes. Yet, ...
On the other hand, odds are the ratio of success to failure. In mathematical parlance, this is commonly known as the“odds in favor”or simply odds. We express odds in favor using the equation below: We can define the difference of the two equations in the following simple terms: ...
To prove our statement we consider the eventsAandAC. From set theory, we know that these two sets have empty intersection. This is because an element cannot simultaneously be in bothAand not inA. Since there is an empty intersection, these two sets aremutually exclusive. ...
Since most prospective undergraduate students aren't considered financially independent, it's difficult for them to qualify for domicile tuition in another state. But there are several ways to qualify for reduced tuition as an out-of-state student. These include:• State recipro...
I like to keep organized, it’s important for me to know what I’m doing and when. So, who would you hire, out of those two candidates? Read more: How to Describe Yourself in a Job Interview: Guide and Examples 3. Why do you want to work for us? Also: Why are you interested...
If the funds are still available in the mistaken account at that time, they may be retrieved electronically.Other uses for electronic paymentsElectronic pay isn’t limited to just payroll. Employers and employees alike rely on it for:Compensating independent contractors Receiving Social Security ...