You work at a dialysis center where people with impaired kidney function come to use a dialysis machine to clean their blood as would their kidneys if they were working properly. You are the Facility Administrator in a location of a small chain of dialysis centers founded and run by a group of doctors who treat kidney disease. You supervise a group of med techs who work with the patients to help them undergo dialysis. The center is located in a state that has mandated that all healthcare workers be vaccinated against Covid and that covers all of your med techs. All of them have produced CDC vaccination cards that show they are fully vaccinated.
One of your med techs in particular stands out. It is Rob Spears who just charms all the patients. Everyone who comes into the center seems to know him and he is particularly good with the older patients who make up the majority of the center’s customers. Rob has become very friendly with the center’s Medical Director who is one of the owners of the chain. Occasionally, they play golf.
One Saturday, while you are grocery shopping, you run into an old friend who used to be a med tech at the center. She mentions that she attended a party not long ago and saw Rob Spears. She was going to say hello but stopped to listen to the conversation he was having. She states that he was bragging about fooling his employer with a fake CDC vaccination card he bought off the internet. He noted that he would not be forced to be vaccinated by an employer.
You are a little overwhelmed by this information. Dialysis patients are particularly susceptible to Covid and you are very concerned that an unvaccinated med tech is working so closely with them. Even so, Rob is popular with the patients, is a great employee otherwise, and has a personal relationship with one of the owners. No one knows that you are aware of this possible problem. Should you choose to, you can keep silent, and it is unlikely that anyone will know. What do you think is the ethical thing to do in this situation and what would you choose to do regardless?
On one hand, not informing senior management of Rob’s behavior could lead to a serious health crisis if he were to contract COVID-19 and spread it among other staff members or patients. At a minimum, it would be an act of negligence for failing to take action when presented with knowledge that could jeopardize public safety (Crane & Matten 2018). On the other hand, if informed of Rob’s actions, senior management might choose severe disciplinary measures such as termination which would have disastrous consequences on his life given his personal relationship with one of the owners. This must also be taken into consideration when weighing different options.
Given all these factors, I believe that speaking up is an ethically responsible decision despite how difficult it may be due to personal relationships involved. As a Facility Administrator tasked with managing patient welfare, choosing silence over action would pose undue risk towards their well being. Furthermore reporting Rob’s misconduct is particularly important given healthcare workers are expected to uphold professional standards at all times (Adams & Berg 2018). That said there are ways around punishing him too harshly such as providing education on vaccine safety instead so hopefully he can learn from this experience without facing long term repercussions.
To conclude however, maintaining patient safety should always remain top priority even if doing so means having tough conversations or making uncomfortable decisions sometimes because ultimately those actions can make all the difference between life and death.
The coin throw may be one example, however there are others. Some others are the “even totals” (Puncture, 2014). The level aggregates design is including the numbers in each line and getting their totals. In the event that you continue to do this, you see the example where the aggregate copies at each line (Puncture, 2014).
Another example is the “types of 11” design (Puncture, 2014). In this example, first, you raise 11 to 0 (110), then you raise it to the numbers after 0 (for instance, 110, 111, 112, 113… ). The way this connects with Pascal’s Triangle is that 110 = 1, and the number in the principal column in Pascal’s Triangle is 1. 111 = 11, and the numbers in the subsequent column are 1, 1. 112 = 121, and the numbers in the third line are 1, 2, 1. This continues et cetera (Puncture, 2014).
You may be taking a gander at the image above and pondering, “What do I do with regards to the force of 5?” What you do it you would have to cover and add the numbers into the crate before the number. The image to the extreme left shows visuals.
Pascal’s Triangle: Starting points and Development
Some could imagine that Pascal’s triangle was found by Blaise Pascal, however they would be erroneous. Pascal’s triangle originally showed up, on paper, on the cover sheet for the Number-crunching of Petrus Apianus in 1527 which was before Pascal was conceived. Pascal’s triangle properties were first created by Chinese mathematician, Jia Xian, in the eleventh hundred years. His triangle was additionally considered and created, spreading the word, by one more Chinese Mathematician, Yang Hui, in the thirteenth hundred years. Since the triangle was promoted by Yang Hui, it is typically named Yanghui triangle in China. (See connected page.) Yang Hui made his own rendition of Pascal’s Triangle by utilizing pole numerals. Bar numerals were a number framework utilized by the old Chinese. They referred to it as “筹” (pinyin: chóu). (They were little bars around 3-14 cm long) (Hosch, 2009).
~Yang Hui Triangle
One more way that Pascal’s Triangle had developed was from twentieth century Clean mathematician, Wacław Sierpiński. Sierpiński further fostered the considerations of the multitude of mathematicians that let to a fractal known as the Sierpinski contraption (photograph at the extreme left) (Hosch, 2009).
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There are numerous things to be familiar with Pascal’s Triangle. (This one thought branches off into a lot more points not referenced in this paper.) Pascal’s Triangle was crafted by one man, yet crafted by numerous men on a similar thought. This shows that, it could be said, cooperation makes the fantasy work. In this cas