Directional derivative

Semra Özal CONNECTIONS OF LOGARITHMIC FUNCTIONS Logarithm and exponential functions have close relationship and they are inverse function of each other in a way. Before explicitly clarifying this inverse relationship, we should analyze their definitions. Logarithm means, in mathematics, “The exponent that indicates the power to which a base number is raised to produce a given number “2 Exponential function means that “mathematical function in which an…

Temporal outliers are common trajectories that follow the populated route, but with an important difference of the speed compared to the other common trajectories. For extracting such type of outliers, we make use of the average speed used by the moving objects in the populated route, we make comparison between each sub-trajectory from the common trajectories and the average speed for all common trajectories that traverse the same route with some tolerance, and we extract two essential types;…

In a day to day situation, if we want to find how much time does it take a person to go from Point A to Point B, we can use the equation T= D/V. In this equation, D represents the distances in meters between Point A and Point B, and V represents the speed (meter/ second) of how fast a person walks. In mathematical terms, it uses the total distance traveled to divided by the time to get an estimation of the average speed(second). But, if we want to find out the age of the universe ? Then, we…

that it was “important to have someone who looked like [the protagonist] on the front” (Larbelestier, 2009). This is still something not only supported by the author, but in the references throughout the text, however Larbelestier fully supports derivative works of her novels (Larbestier, 2008). Disallowing transformative work damages the relationship with the readership (Schwabach, 2013 p1), the majority of which write these works as a tribute and homage rather than for profit and the violation…

The name of the center that I have chosen was Omaha Early Learning Community (OELC) located as of now in Skinner Magnet School, in Omaha, Nebraska. The ages of children in the room are from sixteen months to twenty-two months old. I (Kellee R. Smith) am the Lead Teacher and I have a one Teacher Assistant and one Aide who has had little experience with toddlers and infants. ____ Part 1: Classroom observation: What score did you assign FOR EACH Item and why? What were the strengths? Any areas…

Following our in-depth study into writing systems in our First Year Seminar class as well as the ways in which writing systems have served their time period, our group collectively created a writing system named Gibba Jabber. Our writing system intends to serve the modern-day society, the 21st century. The 21st century is a century where written communication takes precedent over verbal communication. In other words, texting has replaced the need of phone calls due to the advancement of texting…

Adaptive Skills: Self-care: Fraidy D. is not a picky eater, eating most foods and textures. She doesn’t use the side of a fork to cut her food since she usually uses a plastic knife instead. Fraidy dresses and undresses alone properly with minimal help or supervision. She chooses clothing that she likes or desires to wear but it isn’t necessarily inclined to the weather but can be appropriate for the occasion. This can be due to the fact, that she has a uniform to wear to school but the mom…

Compared to the straight optimization of a non-transition state system to a ground state, transition states are more numerically sensitive and take more time to calculate. To achieve this level of accuracy, we continuously modified second derivative (force constants and frequencies) calculation criteria, which was either calculated initially by Gaussian and then approximated in further steps (Opt=CalcFC), or re-calculated at each step (Opt=CalcAll). Approximating the force constants was usually…

The good thing is that Calvin and Hobble are not one-directional or plastic, but rather open and portraying a wider picture that the audience needs to understand (Reis, & Correia, 2011). Unlike other contemporaries of the funny creations, Calvin and hobble cannot be explicable in one sentence. Calvin and Hobble…