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For a random variable with finite variance and nonzero mean, its relative variance is . It equals the square of the coefficient of variation under the usual positive-mean convention. Multiplying by a nonzero constant leaves unchanged; adding a constant generally does not.
For an average of independent identically distributed observations with mean and variance , the relative variance is . Chebyshev's inequality gives , explaining its role in self-averaging. At zero mean the ratio is undefined, so another reference scale is needed.
A seed dispersal syndrome is a combination of seed or fruit traits associated with a mode of seed dispersal. Wings can favor transport by wind, while fleshy fruits can attract animals that later deposit the enclosed seeds. The traits generate a hypothesis about likely transport, not direct proof of the agent responsible for every dispersal event.
A comparative study connecting fruit traits with observed disperser networks found that morphological traits better supported broad groups of dispersing birds, terrestrial mammals and bats than chemical or display traits did.[ref]
Fleshy fruit traits and seed dispersers: which traits define syndromes? by Tobias Nicolas Rojas and others. Annals of Botany 129, pp. 831–838; trait groups and disperser functional types
Direct observations remain valuable because removal of a fruit, deposition of a viable seed and establishment after germination are different stages of successful seed dispersal.Liquid scintillation counting measures radiation through light produced in a liquid scintillator containing the radioactive sample. Energy deposited in the medium leads to optical emission, which photomultipliers detect as pulses. The apparatus is a scintillation counter, but the measured pulse rate still needs a model connecting it to radioactive activity.[ref]
A Review of NIST Primary Activity Standards for 18F: 1982 to 2013 by Denis E. Bergeron and others. Section 2.1: scintillation medium, light conversion and photomultiplier detection.
In an idealized one-count-per-decay model with background subtracted and other corrections negligible,where is radioactive activity and is detection efficiency. A hypothetical net rate of with corresponds to . At the same activity, an efficiency of would produce only . A smaller count rate need not mean that fewer decays occur.
A motivating measurement example is L. L. Lucas's comparison of tritium-containing water standards. Liquid scintillation counting supplied massic activity ratios that could be compared with independently recorded mass-based dilutions. Agreement within stated measurement uncertainties supports consistency of the standards; it does not turn the counting apparatus into an uncertainty-free activity meter.[ref]
Massic Activity Ratios of the NBS/NIST Tritiated-Water Standards Issued Between 1954 and 1999 by L. L. Lucas. Abstract, Journal of Research of NIST 105 (2000), pp. 535–539; DOI 10.6028/jres.105.042.
Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. - Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact





