Likelihood function

In 1540, a man by the name of Lodovico Ferrari, please be aware that I don’t think his name has anything to do with the sports car, was an Italian mathematician known for discovering the solutions to quartic functions. A quartic function is a function of the form ax^4 + bx^3 +cx^2 +dx+e, where a is a nonzero, which is defined by a polynomial raised to the fourth degree, called quartic polynomial. We will probably go more in depth about these quartic polynomials soon in class. My quartic…

Have you ever looked at your math paper and questioned why do I have to make a trend line? Is making a trend line really necessary? Well, trend lines allow the user to see a more defined trend of the data. Also, the creation of a trend line allows a correlation between the two subjects to be viewed easier. Trend lines help people accurately determine future outcomes that can come in handy if there is a problem. This is possible because trend lines make it easier to find the slope intercept…

people with type 2 diabetes to adhere with their treatment plan to improve diabetes care as measured by serial HbA1c measurements over an 18 month study period. This study was particularly notable because it also used other endpoints such as renal function (assessed by estimated glomerular filtration rate and urinary albumin to creatinine ratio), the lipid profile, (assessed by total, HDL and LDL cholesterol and triglyceride levels), and other indices such as blood pressure, waist…

Manifest Functions/pg. 81: the intended beneficial consequences of people’s actions. Manifest functions are a common thing in the mega slum of India, while everyone has their own worries and tasks to do on a daily basis, many are still willing to do what they can not only for themselves but to help others…

Greece to the enlightenment in Europe. While it has evolved from the original chord function to a plethora of functions and identities throughout the ages, many of the identities were already known in antiquity and utilized to measure distance and location in the skies. This paper provides a short review of the development of the sine and a short review of the development of the remaining trigonometric functions. The paper ends with an instructional suggestion to teach the fundamental and…

daily activities and do not always give us purpose and meaning. For example, in mathematics, the unit circle plays a key role in describing the graphs of the six trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant. Although memorizing and being able to cite the values of the each trigonometric function at each pi without a calculator is extremely useful and quite impressive, I find valuable information adds no personal purpose or meaning to my life as a whole. While I…

Al-Khwarizmi’s knowledge in trigonometry and how he used it to complete trigonometric astronomical tables. This allowed him to interpret the movement of celestial bodies. Al-Khwarizmi was able to provide very accurate tables for the trigonometric functions of sine and cosine in his time. This meant that Al-Khwarizmi was able to calculate the sine and cosine values for special angles such as 0°, 30°, 45°, 60° and 90°. Later on, he was also able to create tangent tables,…

Erard shows that bilinguals are better cognitive thinkers. His research reveals that going from language to language is easier. (This is the same for multitasking, and focusing on certain tasks, while later transitioning with ease.) Their executive functions were more mature, and the effects of aging were lessened. Since language knowledge improves brain health, the mind lives longer alongside multiple languages or dialects. Bilingualism in children proves this point, since children are learning…

invariant (LTI) systems the relationship between the input and the output could be described in the frequency domain through frequency response functions (FRFs). In these systems an input with the frequency of f1 creates an output at frequency f2. The gain function of FRFs describes the relationship between input and output amplitudes and the phase function describes the timing information (i.e. lead or lag). Periodic systems like locomotion however are not LTI. Close to their point of operation…

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