'Better approximation' presentation slideshows

Limits, Continuity and the Derivative

Limits, Continuity and the Derivative. The Derivative and the Slope of a Graph. Consider the case of an object moving along a curve from left to right. At the point where the object is released, it continues in a straight line. This line is called the tangent line .

1.44k views • 45 slides

Lecture 2

Engineering Computation. Lecture 2. Round-off Error due to Arithmetic Operations. Smearing Occurs when individual terms are larger than summation itself. Consider the exponential series with x = -10 Consider formulas such as:. With 7-decimal-digit accuracy:

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Integration

Integration Topic: Romberg Rule Major: Computer Engineering f(x) y a b x Basis of Romberg Rule Integration The process of measuring the area under a curve. Where: f(x) is the integrand a= lower limit of integration b= upper limit of integration What is The Romberg Rule?

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Fish 507; Lecture 23

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OPC

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Some Useful Distributions

Some Useful Distributions. Binomial Distribution. Bernoulli 1720 k=0:20; y=bino c df(k,20,0.5); s tairs (k,y) grid on. k=0:20; y=binopdf(k,20,0.5); stem(k,y). Binomial Distribution. function y=mybinomial(n,p) for k=0:n

322 views • 19 slides

Effective Dimension Reduction with Prior Knowledge

Effective Dimension Reduction with Prior Knowledge. Haesun Park Division of Computational Science and Eng. College of Computing Georgia Institute of Technology Atlanta, GA. Joint work w/ Barry Drake, Peg Howland, Hyunsoo Kim, and Cheonghee Park

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When you see this symbol

When you see this symbol. Copy the notes and diagrams into your jotter. The area under a curve. Let us first consider the irregular shape shown opposite. How can we find the area A of this shape?. The area under a curve. We can find an approximation by placing a grid of squares over it.

342 views • 18 slides

The number p is defined as the ratio of the circumference of a circle to its diameter.

CS110: Introduction to Computer Science: Lab Module 3. Archimedes and Pi. How can you compute p ?. What is p ? . The number p is defined as the ratio of the circumference of a circle to its diameter. Quantitative concepts and skills Estimation Ratios Limits Proportions

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Muon+hadron alley

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Distinct Elements Problem

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Brook Taylor 1685 - 1731

12.4: Taylor Series. Brook Taylor was an accomplished musician and painter. He did research in a variety of areas, but is most famous for his development of ideas regarding infinite series.

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Trapezoidal Rule

Trapezoidal Rule. Mt. Shasta, California. Photo by Vickie Kelly, 1998. Using integrals to find area works extremely well as long as we can find the antiderivative of the function. Sometimes, the function is too complicated to find the antiderivative.

359 views • 14 slides

Newton's Method

Newton's Method. Lesson 3.8. Newton Views Roots. Consider a function as it crosses the x-axis (the root) Newton saw that the tangent line close to the root crossed the x-axis close to the root. Try this on Geogebra. x 1. x 2. Newton's Method.

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Section 7-4

Section 7-4. Arc Length. Find Length of a non-linear Function. D L. Length = L. a. b. Find Length of a non-linear Function. Use the Pythagorean Theorem to find the length of each line segment. To get a better approximation of the curve, let D L, D x, D y get infinitesimally

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Geant4 Low Energy Compton Profile

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The Ka Lua o Lapa eruption

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Comparisons

Comparisons. The Modelers : Faeder feedback model, but with better approximation to GEF reaction rate Random : Replace single rule for nucleotide exchange in Faeder feedback model with Hlavacek mass action rules DAN : Add feedback loop (a la Faeder model) to Science paper model.

186 views • 2 slides