Polynomial

Regression-Discontinuity Design. A powerful, alternative design for causal inference that is underutilized in the health and intervention sciences is the regression discontinuity (RD) design (Thistlewaite & Campbell, 1960). In its simplest form, the RD design involves the use of a screening measure of some form that is continuous and given to all persons. A cut point or criterion is set, which determines whether individuals are assigned to an intervention condition or a comparison condition. The…

Pricing Bonds in the Australian Market is an article, which appeared in the 33rd Australian Journal of Management in 2008. Written by Bilson et al., the article does an incredible job in highlighting issues pertaining to the modeling of the term structure of interest rates. The article begins by appreciating the fact that there are various models associated with the yield curve. The authors highlight the significance of the term structure of interest rates by offering valid examples. For…

that the algebra somewhat originally was a generalization . The adjective " algebraic " usually denotes a relationship with algebra , such as in algebraic structure . For historical reasons, it may also indicate a relationship with the solutions of polynomial equations , algebraic numbers , algebraic extension or algebraic expression. It AGREES distinguishes between : Elementary algebra is the part of algebra that is usually taught in mathematics courses . Abstract algebra is the name given to…

STRATEGIES FOR THE ACT MATHEMATICS TEST: The ACT mathematics test is designed to assess the mathematical skills students have typically acquired in courses taken up to the beginning of grade 12. The test presents multiple- choice questions that require you to use reasoning skills to solve practical problems in mathematics. • PACE Yourself- The ACT mathematics test contains 60 questions to be completed in 60 minutes. You have an average of 1 minute per question. • If you use calculator, use it…

seconds-1. The 3 v/v % hydrogen peroxide concentration recorded the highest reaction rate at 1.57 seconds-1. The 5 v/v % hydrogen peroxide concentration recorded a lower reaction rate than the 3 v/v % at 1.00 seconds-1. The trendline for the data is polynomial increasing to the highest value (1.57 seconds-1)…

Epilepsy is a common nervous system disorder that is described by sudden and recurrent seizures [1]. World Health Organization (WHO) statistics show that approximately 50 million people worldwide currently suffer from epilepsy [2]. Epileptic seizures are categorized into focal (also called partial), generalized, and unclassified. In the focal seizures, the abnormal electrical discharges start with a localized region, whereas in the generalized seizures, the abnormal electrical discharges start…

The Nothing That Is, by Robert Kaplan is an intriguing book that focuses on the history of civilizations and their ways of counting. It focuses on the struggles and revolutionary discoveries of different civilizations in their number systems. The book is pushed forward by focusing on the concept of the number “0” which had not been a thing or even a thought then. Zero has been in the making for thousands of years. It wasn’t introduced into any of the civilizations sets of counting until more…

Q1.Ethernet has become the standard for LAN communications. Give a brief overview of structure of an Ethernet frame. Ethernet and Wi-Fi are the most commonly used technologies to set up Local Area Networks today. It operates by using Carrier Sense Multiple Access Detection (CSMA/CD) to control media access. (Study CCNA, 2016) The structure of an Ethernet Frame is as follows: The Ethernet Frame Structure (Anon., 2013) Explanation: • Preamble: This field is responsible for harmonizing bits…

In this figure (10°C trial), the two test tubes are clearly labeled with 1 and 7, test tube 1 contains the 1 cm³ liver and test tube 7 contains the 5 mL of hydrogen peroxide. these two test tubes are in a 250 mL beaker containing approximately 125 mL of tap water and ice. The thermometer was placed in test tube 7, which contains the hydrogen peroxide to measure the temperature of the solutions. The hydrogen peroxide was poured into the test tube containing to the liver and was observed.…

\begin{abstract} It is known that Groebner bases is EXP-SPACE in general. We show that this remains true over Boolean rings. \end{abstract} \section{Boolean Rings} Let $\mathbb{F}_2 = \mathbb{Z}/(2)$. Let $R_n = \mathbb{F}_2[x_1,\ldots,x_n, y_1,\ldots,y_n, z_1,\ldots,z_n]$ and % \footnote{Over $\mathbb{F}_2$, $+$ is the same as $-$.} \[ S_n := \{c^2 -c \,\, | \,\, c \in \{x_1,\ldots,x_n, y_1,\ldots,y_n, z_1,\ldots,z_n\} \}. \] Let \[ R_n^{\rm b} := R_n / (S_n). \] This is {\em Boolean ring},…