invariant

[[concept]]

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at DataviewInlineApi.eval (plugin:dataview:19027:21)

at evalInContext (plugin:dataview:19028:7)

at asyncEvalInContext (plugin:dataview:19038:32)

at DataviewJSRenderer.render (plugin:dataview:19064:19)

at DataviewJSRenderer.onload (plugin:dataview:18606:14)

at DataviewJSRenderer.load (app://obsidian.md/app.js:1:1182416)

at DataviewApi.executeJs (plugin:dataview:19607:18)

at DataviewCompiler.eval (plugin:digitalgarden:10763:23)

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at eval (plugin:digitalgarden:90:61)

Definition

Invariant

Let G be a group acting on a (data) set X. Then F:X→Y is invariant if

F(g∘x)=F(x)∀g∈G and x∈X

^definition

Random Matrix Theory

Orthogonal Invariance

Let x∈Rd be a random vector. We say that x (or its law Law(x)) is orthogonally invariant if for each (deterministic) orthogonal matrix Q∈O(d) we have

Law(Qx)=Law(x)
Note

The law is the distribution of the random vector.
We sometimes use "model" instead of "law" or "distribution" to remind us that our choice includes assumptions and judgements.

References

References

See Also

Mentions

Mentions

const modules = await cJS()

const COLUMNS = [  
	{ id: "Name", value: page => page.$link },  
	{ id: "Last Modified", value: page => modules.dateTime.getLastMod(page) },
];  
  
return function View() {  
	const current = dc.useCurrentFile();
// Selecting `#game` pages, for example. 
	let queryString = `@page and linksto(${current.$link})`;
	let pages = dc.useQuery(queryString);
	
	// check types
	pages = pages.filter( (p) => !modules.typeCheck.checkAll(p, current) ).sort()
	
	
	return <dc.Table columns={COLUMNS} rows={pages} paging={20}/>;  
}  


const { dateTime } = await cJS()

return function View() {
	const file = dc.useCurrentFile();
	return <p class="dv-modified">Created {dateTime.getCreated(file)}     ֍     Last Modified {dateTime.getLastMod(file)}</p>
}