Lemma: If p > 3 is prime, then either p = 1 (mod 6) or p = 5 (mod 6). Proof: The residue classes modulo 6 partition Z, so any z in Z satisfies a congruence z = n (mod 6) where n is in {0,1,...,5}. z is divisible by 6 if n = 0, 2 if n = 2, 3 if n = 3, and 2 if n = 4. These cases cover the primes z = 2 and z = 3; if z > 3 is prime, it follows that n = 1 or n = 5, i.e., z = 1 (mod 6) or z = 5 (mod 6). Now suppose there are only finitely many primes congruent to 5 modulo 6, say p_1, ...,…
Descriptive statistics I can describe the data with the help of descriptive statistics. The data can be described with the help of various types of graphs and central tendency. Measures of central tendency are mean, median and mode. Mean is reliable for normal data. Median is reliable for a data which has outliers. And mode is preferred when data is categorical. There are various types of graphs like pie chart, bar graph which gives us a pictorial representation of data. Measure of…
directed by nerve impulses sent from the central nervous system. There are three main types of muscles: smooth,…
Barre could possibly temporary have a serious affliction on the individual’s life, some of which we have heard of. Take Franklin D. Roosevelt for example, he suffered from Guillain Barre or also commonly known as “GBS” experienced a fight with this nerve damaging infection. GBS progressively starts to own a person’s life, being educated about this disease, the symptoms and effects, and the treatments will be beneficial. Two brilliant scientists discovered this syndrome, they found out what the…
A Strength Training Program is Much Different Than A Bodybuilding Program. In order to setup a proper strength training routine, you need to understand how a muscle gets stronger. If you fail to understand the physiology behind getting stronger, you will put together a sub-optimal strength training program. My goal in this short article is to explain the differences between bodybuilding and gaining strength. How a Bodybuilding Program Works. Bodybuilding involves breaking down a muscle. This…
Experiment 1 showed the isometric force generated by the ADM muscle of the test subject was able to be measured accurately and quantified into EMG activity as shown in results from Table 1. The established threshold of 2.2mA was used for subsequent increases in stimulation from the threshold to show that more motor units of both Type I and Type II were simultaneously being recruited. The size of the twitch force at 20% above the threshold, 2.6mA, was not a drastic jump as was 40%, 3.2mA, which…
surrounds the body. The complex wall muscle is composed of the circular diagonal and muscle fibers (Newmark and Alvarado, 2001). The nervous system contains two ventral nerve cores. The nerve cores are aggregated in the anterior part of the planarian to form the cerebral ganglia that are connected to two ventral longitudinal nerve cords, which are interconnected with the lateral commissures, and a submuscular nervous plexus (Newmark and Alvarado, 2001, Wenemoser, 2011). The function of the…
Nerves and muscles in the body send electrical signals throughout the body- sending and receiving messages to the brain. Electro diagnostic testing helps the doctor to get a better understanding of how those electrical signals are functioning in the body. There are two types of electro diagnostic testing; Electromyography, more commonly known as an EMG, and Nerve Conduction Studies, or NCS. An EMG allows the doctor to monitor and…
said in National Institute of Neurological Disorders and Stroke “That the physicians Jean-Martin Charcot, Pierre Marie, and Howard Henry Tooth. In 1886 Charcot, Marie, and Tooth discovered a group of progressive disorders that affects the peripheral nerves” (NINDS). They still consider this disease to being rare in the United states. The estimated amount of people who are diagnosed is fewer than 175,00 a year and the worldwide estimate is around 2.5 million. Of course, this number can be much…
rupture of the ligament allows for the gel like substance or nucleus pulposus to exit the disc. Both conditions can create pressure on the corresponding spinal nerves or even on the spinal cord which leads to neurological symptoms such as pain, numbness, tingling, and weakness throughout the area serviced by the corresponding spinal nerve or area of the spinal cord”(Ashby). This can cause many problems for the patient's spine. Chiropractors can treat the symptoms by “ adjusting the corresponding…