Logarithm

biological half-life of drugs and other chemicals in a human body. The converse of half-life is doubling time (Wikipedia). In this project, the concept of exponential is explored. We will apply the natural logarithm/Neperian to solve our problem. The natural logarithm of a number is its logarithm to the base of the mathematical constant e. Where e is an irrational number approximately equal to…

Mu’nisah Ujima November 12, 2014 Dr. Sailah Jamar Algebra Project Due Date: November 23, 2014 Muslim Contributions to the History of Mathematics How do Muslims and mathematics go hand in hand? What did Muslims contribute to mathematics? Last but not least how do I think Islam inspire major contributions to the history of mathematics? In my essay you will get a glimpse of Muslims and mathematics through my eyes. Muslims have made many contributions to almost all branches of the sciences…

mathematical fundamentals like Euclidean geometry. Stewart elucidates the importance of each equation by mentioning its uses in the modern world, like while logarithms are generally not employed now that we have inexpensive calculators and computers, but many measurements like sound, radioactive decay and earthquakes still employ logarithms. Calculus, invented by Sir Issac Newton, helps in incorporating the movement of the solar system bodies into one mathematical equation. The equation I could…

range of a log function is the domain of an exponential function was very difficult for me to understand because similar concepts were dealt with in previous sections. However, this is a combination of two functions; the common logarithm of a real number and the natural logarithm of a real…

permits a user to authenticate his identity several times to several users. Merkle’s technique requires A and B to verify each other’s activities by other means. This method suggested by Diffie and Hellman makes use of the difficulty of computing logarithms over a finite field GF(q) with q number of elements, as its strength, or possibly adds to its computational…

Nicolette Casula College Algebra Biography April 27, 2015 Biography of Johannes Kepler Nicolette Casula College Algebra Biography April 27, 2015 Johannes Kepler On the 27th day of December, a mercenary soldier named Heinrich Kepler and Katharina Guldenmann, a keeper of a local inn, gave birth to Johannes Kepler. He was born in a town called “Weil der Stadt”, which is now known as Germany. Kepler was a young child when he lost his father to whom gave his life in a battle of war.…

Multicollinearity Multicollinearity is one of the common problems in spatial regression analysis. Sometimes some or all of the explanatory variable are highly correlated in the sample data, which means that it is difficult to tell which of them is influencing the dependent variable (Barrow, 2009, p. 306). Hence, to check whether the independent variables are correlated with each other, a correlation matrix for the three indicators was measured using excel. The correlation matrix in table 2…

In this study, there are various of market structures used as variable to investigate the relationship with bank's performance. However, two market structure will be selected which included concentration ratio and Herfindahl Index (HHI). These two variables have been used as measures of market structure of bank. There are several authors also applied concentration ratio as their measurement such as Goldberg and Rai (1996), Berger (1995), Short (1979), Molyneux (1992) and so forth. According…

experiment is to find the pKIn blue using spectrophotometry. Bromophenol blue dissociate in water by the following reaction: i) HIn + H2O ⇋ H3O+ + In- The KIn value can be calculated from the reaction: ii) K_In=[H3O+][ In-]/[HIn] Taking the negative logarithm on both sides, iii)〖pK〗_In=pH+log⁡[HIn]/[〖In〗^- ] Solution sample of bromophenol blue with different but similar pH is put into spectrophotometer to find out the ratio of [HIn]/[In-] based on the Beer- Lambert Law1: iv) A=log⁡(l_t/l_o…

He made contributions to virtually every area of mathematics. It is sometimes jokingly stated that he was so prolific, that many discoveries were named for the first person after Euler to discover them (Richeson, 2008). The base of the natural logarithm, e, is named after Euler, as well as the Euler-Mascheroni constant, also called Euler’s constant. However, in spite of his significant accomplishments in a number of varied fields, he does not receive the acclaim or renown that many feel he…