###### encloses the minimal area

- A quadrat that encloses the minimal area is called a relevé, and using species-area curves in this way is called the relevé method. (wikipedia.org)

###### probability

- Why is does the area underneath the normal distribution (or any distribution) represent probability? (physicsforums.com)
- Putting these together shows why the area under the curve represents probability. (physicsforums.com)

###### graph

- Split $\displaystyle R_2$ into two parts: One area is completely below the graph of the quadratic function, the second one is completely below the straight line. (mathhelpforum.com)
- Remembering some of my physics class I calculated the area under the graph of 'x' from points 0-2 on the x axis which equals 2. (physicsforums.com)

###### receiver opera

- A receiver operating characteristic curve , i.e. (wikipedia.org)

###### shape of the curve

- Moreover, t s now apparent, that habtat gran, patch sze, and equtablty wll have a substantal nfluence on the shape of the curve and must be evaluated n that context. (docplayer.net)
- The shape of the curve is distilled into several of the surface roughness parameters, especially the Rk family of parameters. (wikipedia.org)

###### Concepts

- 1 peces versty Concepts peces Rchness peces-area Curves versty Indces - mpson's Index - hannon-wener Index - rlloun Index peces Abundance Models escrbng Communtes There are two mportant descrptors of a communty: ) ts physognomy (physcal structure), as descrbed n the prevous lecture, and ) the number of speces present and ther relatve abundances (speces rchness and dversty). (docplayer.net)

###### continuous

- Often, in addition to the continuous rating, separate SOA curves are plotted for short duration pulse conditions (1 ms pulse, 10 ms pulse, etc. (wikipedia.org)

###### compute

- Use Riemann sums and a limit to compute the exact area under the curve. (mathhelpforum.com)

###### equation

- The diagram shows a sketch of part of the curve with equation y = x 2+1 and the line with equation y =7− x . (mathhelpforum.com)

###### sketch

- Again, sketch the curves, and then see what you can do. (mathhelpforum.com)

###### integral calculus

- This applet allows the user to learn visually and numerically understand how the subdivided rectangles under a curve of a function can converge to (reach) the exact value of area calculated with integral calculus methods by increasing the number of subdivisions to close to the infinite limit. (geogebra.org)
- While integral calculus techniques can be applied to find an area under the normal curve, we shall judiciously not attempt to do so. (oreilly.com)

###### Calculate

- the area under the line must equal: [tex]\int dx[/tex] but, from 0-2 how do you calculate it? (physicsforums.com)
- Calculate the area enclosed by x=9-y^2 and x=5 in two ways: as an integral along the y-axis and as an integral along the x-axis. (mathhelpforum.com)

###### sensitivity

- The ROC curve is thus the sensitivity as a function of fall-out . (wikipedia.org)
- The area under the entire curve (AUC) is one of the most commonly used summary indices in receiver operating characteristic (ROC) analysis and can be interpreted as the average value of sensitivity for all possible values of specificity [ 1 ]. (hindawi.com)

###### represents

- From calculus we know the integral on the right represents the area under f(x) between a and b. (physicsforums.com)
- The whole municipality and Rankovce Palanka municipality curve represents the catchment area curve Reka.Minuvajkji through steep grassy area and collect most sources flowing through the forest belt. (wikipedia.org)

###### rectangle

- But the calculation would be exactly the same if you were calculating the area of the rectangle and subtract area A. So it seems silly not to use this method and do use the above method. (physicsforums.com)

###### estimation

- Maximum likelihood estimation of receiver operating characteristic (ROC) curves using the "proper" binormal model can be interpreted in terms of Bayesian estimation as assuming a flat joint prior distribution on the c and d a parameters. (spie.org)
- Estimation of the minimal area from the curve is necessarily subjective, so some authors prefer to define minimal area as the area enclosing at least 95 percent (or some other large proportion) of the total species found. (wikipedia.org)

###### metric

- The detection performance is characterized by the area under the Receiver Operating Characteristic (ROC) Curve (AUC), which is a simple statistical performance measuring metric that varies between 0.5 and 1. (techrepublic.com)
- Includes standard vector algebra, vector analysis, introduction to tensor fields and Riemannian manifolds, geodesic curves, curvature tensor and general relativity to Schwarzschild metric. (wikipedia.org)

###### Different

- Different shapes of the ROC curves, false positive fraction ranges, and sample size configurations were considered. (hindawi.com)
- Larger islands contain larger habitat areas and opportunities for more different varieties of habitat. (wikipedia.org)
- Then applying different sampling methods will lead to different sets of individuals being observed for the same area of interest, and the species richness of each set may be different. (wikipedia.org)
- Such curves can be constructed in different ways. (wikipedia.org)
- Michael Rosenzweig also notes that species-area relationships for very large areas-those collecting different biogeographic provinces or continents-behave differently from species-area relationships from islands or smaller contiguous areas. (wikipedia.org)
- Species-area relationships are often graphed for islands (or habitats that are otherwise isolated from one another, such as woodlots in an agricultural landscape) of different sizes. (wikipedia.org)

###### creatinine

- It takes under consideration the creatinine clearance and the desired area under curve. (wikipedia.org)

###### integration

- To find the area of a region between two curves using integration. (slideserve.com)
- I know basic integration and differentiation and I was siting on my bed today thinking how on earth any of it could correlate to finding the area under a curve. (physicsforums.com)

###### Find

- a) Find the area of R 1. (mathhelpforum.com)
- b) Find the area of R 2. (mathhelpforum.com)
- Find the area enclosed by y = x - 1 and y2 = 2x + 6. (slideserve.com)
- To find the total area, one sums up all the small strips, from x=0 to x=2. (physicsforums.com)
- Only in special cases can you find the area using geometric methods, for example, y=x and x=0,x=2, forms a triangle. (physicsforums.com)
- 1. Find the area of the region lying to the right of x=(y^2)-5 and the left of x=3-(y^2). (mathhelpforum.com)
- How to find the area under this curve? (openstudy.com)
- Lets call this area A. Now normally if we wanted to find the area under a height, we would simply mulitply height by the value of x and subtract the integrated form to find the are above the curve to that height. (physicsforums.com)
- I cant simply say h*x minus the integral of whatever to find area B. Is there another way to find area B while knowing the function but not involving area A in any way? (physicsforums.com)
- I need to find area A and area B separately. (physicsforums.com)
- I cant find area B by subtracting A out of it and conversely I cant find area A by subtracting B out of it. (physicsforums.com)

###### diagram

- The finite region R 2 is below the curve and the line and is bounded by the positive x - and y -axes as shown in the diagram. (mathhelpforum.com)

###### region

- The finite region R 1 is bounded by the line and the curve. (mathhelpforum.com)
- I can work this out, but How would I go about working the area of region 2? (mathhelpforum.com)
- Becasue there's also the area of region 1 inside region 2. (mathhelpforum.com)
- It is a seat of the Rankovce municipality which covers an area of Slavishko field that belongs to the famous region of Kriva Reka. (wikipedia.org)

###### Results

- This is done by plotting the curve (usually on arithmetic axes, not log-log or semilog axes), and estimating the area after which using larger quadrats results in the addition of only a few more species. (wikipedia.org)

###### commonly

- An ROC curve is the most commonly used way to visualize the performance of a binary classifier , and AUC is (arguably) the best way to summarize its performance in a single number . (dataschool.io)
- An ROC curve is a commonly used way to visualize the performance of a binary classifier , meaning a classifier with two possible output classes. (dataschool.io)

###### line

- area under curve and line. (mathhelpforum.com)
- or (3) the ROC curves generated from individual biomarker have straight-line shapes. (hindawi.com)
- The curve could be found from a profile trace by drawing lines parallel to the datum and measuring the fraction of the line which lies within the profile. (wikipedia.org)

###### normal

- statistics is going to draw this beautifully symmetrical normal curve. (coursera.org)
- Instead, we shall read the area under the normal curve directly from a table. (oreilly.com)

###### Leads

- The theory assumes that speciation rates are constant with area, and a lower extinction rate coupled with higher speciation leads to more species. (wikipedia.org)