Probability density function

One of the many questions posed by those searching for answers on Just Noticeable Difference was if JND could be a suitable as a unit of measure. Analyzing data from two prior experiments, where participants were to discriminate different colors when shown different brightness intervals and applying it to sound also. Once all the data was analyzed, the researchers determined that JND could not be used as a unit of measure (Newman, 1933). Although JND could not be used as a unit of measurement,…

For this curriculum study, I chose third grade mathematics as my unit of study. As far as my objectives go, I would want my students to walk away from this particular section of fractions with the understanding of what a fraction is, the difference between the components of a fraction such as the numerator and denominator, knowing how to identify how many parts of a whole are shaded in, and knowing how to simplify a fraction. As far as my instructional method, I created an original prezi, which…

allowed us to construct a national income model. We used figures for 2014. UK National Income model approximations The variables we need include: • A consumption function, C = a + b(Y-T) • An import demand function, M = k + mY • Exogenous variables, representing investment, I*, exports, X*, government expenditure, G* • A tax revenue function, T = tY + T* • Equilibrium condition for Y National income in the uk In 2014 the GDP in the UK came to $2522.26 Billion. We will use this…

It is important in children’s cognitive development and with their success in school. Executive functions are used to organize and act on information. Working memory is one executive function. This skill is the ability to carry information in mind for the purpose of completing a task. Working memory is like your mental sticky note. When I was in fifth grade my classmates and I were learning how…

There are several areas in the natural world where the process of exponential decay arises from random processes. Whenever a material decays at a rate in proportion to its amount, this material represents the process of exponential decay. Exponential decay can be described using the mathematical model y=a×e^(-bx). A prominent example of naturally occurring random exponential decay is the process of radioactive decay. Some isotopes of nature are considered radioactive due to a specific…

Results: At the start of the experiment, the initial flow rate was established as 20 ml min-1. This means that there is a steady flow of fluid or blood in your body (in this case, water) at a rate of 20ml min-1. In order to find the final concentration of the Eosin (2,5 mg ml-1) in the “blood” after 60 minutes a calibration curve had to be created by making up seven different solutions of eosin (11,25 μg ml-1) and water to compare it against their absorbance that was calculated in a…

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…

that led to the further decline of many already struggling neighborhoods, it was her most popular book and it ignited a spark of controversy among urban planning professionals in the field . Jacobs’ called this popular piece “the relation of the function to design in large cities.” One thing that Jacob criticized in her book was how the government supported the many urban planners who wanted to inject failing cities with big monopolizing industries along with areas of town specified for only…