User contributions
19 October 2022
Template:=
Created page with "<includeonly>{{error|Error: The retired template {{tn|1==}} has been transcluded; see mw:Help:Magic words#Other for details. To fix this, use only the code {{Magic word|1==}} to generate the = character.}} T</includeonly><noinclude>{{Documentation|heading=50px|link=|alt= Magic word documentation}} </noinclude>"
Template:Tnull
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Template:Template link general
Created page with "{{{{{|safesubst:}}}#Invoke:Template link general|main}}<noinclude> {{Documentation}} </noinclude>"
Module:Template link general
Created page with "-- This implements Template:Tlg local getArgs = require('Module:Arguments').getArgs local p = {} -- Is a string non-empty? local function _ne(s) return s ~= nil and s ~= "" end local nw = mw.text.nowiki local function addTemplate(s) local i, _ = s:find(':', 1, true) if i == nil then return 'Template:' .. s end local ns = s:sub(1, i - 1) if ns == '' or mw.site.namespaces[ns] then return s else return 'Template:' .. s end end local function trimTemplate(..."
Template:Template link expanded
Created page with "{{#Invoke:Template link general|main|code=on}}<noinclude> {{Documentation|1=Template:Tlg/doc |content = {{tlg/doc|tlx}} }} <!-- Add categories to the /doc subpage, not here! --> </noinclude>"
Template:Tlx
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Module:Delink
Created page with "-- This module de-links most wikitext. require("Module:No globals") local p = {} local getArgs local function delinkReversePipeTrick(s) if s:match("^%[%[|.*[|\n]") then -- Check for newlines or multiple pipes. return s end return s:match("%[%[|(.*)%]%]") end local function delinkPipeTrick(s) -- We need to deal with colons, brackets, and commas, per Help:Pipe trick. -- First, remove the text before the first colon, if any. if s:match(":") then s = s:ma..."
Template:Term
Created page with "<dt class="glossary {{{class|}}}" {{#if: {{{noid|}}}||id="{{#invoke:delink|delink|{{#invoke:String|replace|source={{lc:{{{id|{{{term|{{{1}}}}}}}}}}}|"|<!--blank to strip out double quote mark-->}}}}"}} style="{{#if:{{{multi|}}}|margin-top: -0.2em;|margin-top: 0.4em; {{{style|}}}}}">{{#if:{{{nondefining|}}}||<dfn class="glossary">}}{{{content|{{{2|{{{term|{{{1}}}}}}}}}}}}{{#if:{{{nondefining|}}}||</dfn>}}</dt><noinclude> {{Documentation}} </noinclude>"
Template:Plainlist
Created page with "<div class="plainlist {{{class|}}}" {{#if:{{{style|}}}{{{indent|}}}|style="{{#if:{{{indent|}}}|margin-left: {{#expr:{{{indent}}}*1.6}}em;}} {{{style|}}}"}}>{{#if:{{{1|}}}| {{{1}}} </div>}}<noinclude></div> {{documentation}} </noinclude>"
Template:Ordered list
Created page with "{{<includeonly>safesubst:</includeonly>#invoke:list|ordered}}<noinclude> {{documentation}} <!-- Categories go on the /doc subpage, and interwikis go on Wikidata. --> </noinclude>"
Template:Navbox top
Created page with "<includeonly>{{#invoke:navbox top and bottom|top}}</includeonly><noinclude> {{documentation}} </noinclude>"
Template:Navbox bottom
Created page with "<includeonly>{{#invoke:navbox top and bottom|bottom}}</includeonly><noinclude> {{documentation|Template:Navbox top/doc}}</noinclude>"
Template:Hlist
Created page with "{{<includeonly>safesubst:</includeonly>#invoke:list|horizontal}}<noinclude> {{documentation}} <!-- Categories go on the /doc subpage, and interwikis go on Wikidata. --> </noinclude>"
Template:Glossary end
Created page with "<noinclude><dl></noinclude></dl><!--end glossary--><noinclude> {{Documentation|Template:Glossary/doc}}<!--Categories go in the /doc subpage.--> </noinclude>"
Template:Glossary
Created page with "<dl class="glossary {{{class|}}}" {{#if:{{{style|}}}|style="{{{style}}}"|}} {{#if:{{{id|}}}|id="{{{id}}}"|}}><noinclude>{{glossary end}} <!--Categories and interwikis go on the /doc page.--> {{Documentation}} </noinclude>"
Template:Defn
Created page with "<dd class="glossary {{{class|}}}" {{#if:{{{id|}}}|id="{{{id}}}"|{{#if:{{{term|}}}|id="{{{term}}}-defn{{{2|{{{no|1}}}}}}"|}}|}} {{#if:{{{style|}}}|style="{{{style}}}"|}}>{{#if:{{{2|{{{no|}}}}}}|{{{2|{{{no}}}}}}. |}}{{{defn|{{{1|{{{content}}}}}}}}}</dd><noinclude> {{Documentation}}<!--Categories go in the /doc subpage.--> </noinclude>"
Template:Cslist/styles.css
Created page with "{{pp-template}}: make an inline list with either comma or semicolon separators: ul.cslist, ul.sslist { margin: 0; padding: 0; display: inline-block; list-style: none; } ul.cslist-embedded { display: inline; } .cslist li, .sslist li { margin: 0; padding: 0 0.25em 0 0; display: inline-block; } .cslist li:after { content: ", "; } .sslist li:after { content: "; "; } .cslist li:last-child:after, .sslist li:last-child:after {..."
Template:Cslist
Created page with "<templatestyles src="Cslist/styles.css" />{{#invoke:Cslist |makelist}}<noinclude> {{documentation}} </noinclude>"
Template:Columns-list
Created page with "<includeonly>{{#if:{{{1|}}}|{{{{{|safesubst:}}}#invoke:Template wrapper|wrap|_template=div col|_alias-map=1:content|colwidth=30em}}}}</includeonly>{{#invoke:Check for unknown parameters|check|unknown={{main other|_VALUE_{{PAGENAME}}}}|preview=Page using Template:Columns-list with unknown parameter "_VALUE_"|ignoreblank=y| 1 | class | content | colwidth | gap | rules | small | style }}<noinclude> {{document..."
Template:Bulleted list
Created page with "{{<includeonly>safesubst:</includeonly>#invoke:list|bulleted}}<noinclude> {{documentation}} <!-- Categories go on the /doc subpage, and interwikis go on Wikidata. --> </noinclude>"
Module:Bold list
Created page with "-- Written by User:Ahecht in response to a thread at WP:VPI return { main = function(frame) args = {} for i, v in ipairs(frame:getParent().args) do table.insert(args, v) end conj = "'''" .. (#args > 2 and ", " or " ") .. (frame.args.conj or "or") .. " '''" return "'''"..mw.text.listToText(args, "''', '''", conj).."'''" end }"
Template:Bold list
Created page with "<includeonly>{{{{{|safesubst:}}}#invoke:Bold list|main|conj={{{conj|or}}}}}</includeonly><noinclude>{{{{BASEPAGENAME}}|A|B|C}} {{Documentation}}</noinclude>"
Template:HTML lists
Created page with "{{navbox top |name= HTML lists |title=HTML lists |state=<includeonly>collapsed</includeonly> |above = More information: {{hlist | Help:List | WP:List dos and don'ts | WP:Manual of Style/Embedded lists | {{section link|WP:Manual of Style/Accessibility#Lists}} | WP:WikiProject Lists }} }} {| style="width:100%; text-align:left;" ! style="text-align:right;padding-right:0.5em;" | Flat | style="vertical-align:top; width:30%"| {| style="width:100%" ! style="fon..."
Template:Format TemplateData
Created page with "<includeonly>{{#ifeq:{{yesno-yes|{{{header}}}}}|yes|{{TemplateData header}} }}{{#invoke:Format TemplateData| f |classNoNumTOC=nonumtoc |cssParams=border:#B3B7FF 1px solid;|docpageCreate=%s/doc |docpageDetect=/doc$ |msgDescMiss=Missing description |cat=Templates with TemplateData errors}}</includeonly><noinclude> {{Documentation}} </noinclude>"
Template:Para
Created page with "<code class="tpl-para" style="word-break:break-word;{{SAFESUBST:<noinclude />#if:{{{plain|}}}|border: none; background-color: inherit;}} {{SAFESUBST:<noinclude />#if:{{{plain|}}}{{{mxt|}}}{{{green|}}}{{{!mxt|}}}{{{red|}}}|color: {{SAFESUBST:<noinclude />#if:{{{mxt|}}}{{{green|}}}|#006400|{{SAFESUBST:<noinclude />#if:{{{!mxt|}}}{{{red|}}}|#8B0000|inherit}}}};}} {{SAFESUBST:<noinclude />#if:{{{style|}}}|{{{style}}}}}">|{{SAFESUBST:<noinclude />#if:{{{1|}}}|{{{1}}}=..."
Template:Endflatlist
Created page with "<includeonly></div></includeonly><noinclude> {{documentation|Template:Flatlist/doc}} </noinclude>"
Exploring electroencephalography with a model inspired by quantum mechanics 2
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Store:Exel15
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+2,502
Store:Exel15
Created page with "== Supplementary Information == Supplementary Figures.(28M, docx) Supplementary Information.(375K, docx) == Acknowledgements== We would like to thank Silvano Petrarca for his continued assistance in devising the model. This study was funded by the NSERC Discovery Grant (05578–2014RGPIN), CERC (215063), CIHR Foundation Fund (167264). AMO is a Fellow of the CIFAR Brain, Mind, and Consciousness Program. == Author contributions== N.J.M.P., C.M. and G.L. performed the..."
Store:Exel14
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+1,504
Store:Exel14
Created page with "The expression for can be readily applied to the probabilities and positions as defined above, resulting in the first term given by <center> {| width="80%" | |- | width="33%" | | width="33%" |{{CD1}}<math>\langle x^2(t)\rangle=\sum_{j=1}^{92}P_j(t) x_j^2</math>{{CD2}} | width="33%" align="right" |<math>(8)</math> |} </center> And the second term given by the square of Eq. (4). The second term of <math>\Delta P_x</math> is given by the square of Eq. (5), but the f..."
Store:Exel13
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+2
Store:Exel13
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Store:Exel13
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Store:Exel13
Created page with "== Model == Each of the j electrodes is described by an ordered pair (<math>x_j,y_j,z_j</math>) in 3-dimensional space. To complete this analysis, the electrodes were first projected onto the (<math>x,y</math>) plane, removing the depth of the head. Figure 1A shows the locations of each electrode in this 2d-space. Following this projection, the time courses for each of the 92 electrodes were Hilbert transformed and then normalized following the procedure listed using Eq..."
Store:Exel12
Created page with "== Methods== === Data acquisition=== Twenty-eight healthy subjects were recruited from The Brain and Mind Institute at the University of Western Ontario, Canada to participate in this study. Informed written consent was acquired prior to testing from all participants. Ethics approval for this study was granted by the Health Sciences Research Ethics Board and the Non-Medical Research Ethics Board of The University of Western Ontario and all research was performed in acco..."
Exploring electroencephalography with a model inspired by quantum mechanics 2
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−19,057
Store:Exel11
Created page with "==== Discussion ==== In the current study, we investigated the spatial-extent and the associated transitional properties of neural activity in the brain during active and resting conditions, and whether similar underlying network properties exist. We found that applying the Hilbert transformation to the EEG data and normalizing it (Eq. 2) imposes a probabilistic structure to the EEG signal across the brain (Eq. 3), which we used to identify probability of spatial patter..."
Store:Exel10
Created page with "=== Table 2=== {| class="wikitable" !Stimulus !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> !<math>\Delta x\Delta p_x</math> !<math>\Delta y\Delta p_y</math> |- | colspan="1" rowspan="1" |Taken | colspan="1" rowspan="1" |<small><math display="inline">(7\pm2.1)10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math..."
Store:Exel09
Created page with "==== Uncertainty principle ==== Despite the confirmation of previous neuroscientific results, and the apparent success of our quasi-quantum model, our research question as posed above remains only half answered. Using this model, we noted differences in the probability distributions and the phase space centroids in rest when compared to task. However, we still sought a parameter from the model that would remain the same in rest and task. To this end, we defined an analo..."
Store:Exel08
Created page with "=== Table 1 === Group averages of the centroids. {| class="wikitable" |+ !Stimulus !<math>\langle x\rangle</math> !<math>\langle y\rangle</math> !<math>\langle p_x\rangle</math> !<math>\langle p_y\rangle</math> |- |Taken | colspan="1" rowspan="1" |<small><math>(-1.4\pm5.8)\times10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math>(2.4\pm8.0)\times10^{-1}</math></small> | colspan="1" rowspan="1" |<small><math>(-5.8\pm27.0)\times10^{-2}</math></small> | colspan=..."
Store:Exel07
Created page with "===== Phase space ===== We also explored the average-valued phase space of this system. The phase space for each subject was plotted as the average position and momentum along the <math>x</math> direction <math>(\langle x(t)\rangle,\langle p_x(t)\rangle)</math> or as the average position and momentum along the <math>x</math> direction <math>(\langle y(t)\rangle,\langle p_y(t)\rangle)</math>. Figure 2 shows the centroids of the phase space scatter plots for each subject..."
Exploring electroencephalography with a model inspired by quantum mechanics 2
Abstract
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Store:Exel06
Created page with "With the same holding true for y. These two equations are how we create our quasi-quantum mechanical analogues. The second equation is an extension of Ehrenfest’s theorem, relating the average momenta of a particle to the time derivative of its average position. Where we have assumed a Hamiltonian with only a spatially dependent potential. Note that as the positions are fixed in space (positions of the electrodes) only the probability changes in time. Throughout this p..."
Store:Exel05
Created page with "With <math>i=\sqrt{-1}</math>. We then imposed the normalization condition, <center> {| width="80%" | |- | width="33%" | | width="33%" |{{CD1}}<math>\hat{\Psi}_j(t)= \frac{\Psi_j(t)}{\sqrt{\sum_{j=1}^{92}|\Psi_j|^2}}</math>{{CD2}} | width="33%" align="right" |<math>(2)</math> |} </center> The summation extends to 92, corresponding to the 92 electrodes selected from the original 129 on the head cap (channels removed from the face and neck for this analysis). T..."
Store:Exel04
Created page with "=== Results === In this paper, we adapted the probability amplitudes of quantum mechanics to define new metrics for examining EEG data—the ‘average position’ and ‘average momentum’ of the EEG signal. These were constructed from our definition of ‘brain states’ based on the quasi-quantum model. This allowed us to ascertain the frequency with which unique brain regions are entered by the pseudo-wavefunction, as well as explore the average-valued phase space...."
Store:Exel03
Created page with "Is there a way to identify the shared neural architecture underlying the cognitive processes associated with rest and active states while also quantifying how these processes diverge from that shared architecture of neural activity? In this paper, we applied mathematical methods analogous to those of quantum mechanics, and the concept of phase space to EEG recorded during rest and movie-watching to extract spatial and transitional properties of dynamic neural activity. Q..."
Store:Exel02
Created page with "=== Introduction === An important but outstanding issue in contemporary cognitive neuroscience is understanding the organizational properties of neural activity. For instance, is there a fundamental structure to the spatial–temporal patterns neural brain activity across different conditions? One common approach used to address this question is to examine the brain at “rest”. Measures such as functional connectivity, independent component analysis and graph theoreti..."
Store:Exel01
Created page with "== Abstract== An outstanding issue in cognitive neuroscience concerns how the brain is organized across different conditions. For instance, during the resting-state condition, the brain can be clustered into reliable and reproducible networks (e.g., sensory, default, executive networks). Interestingly, the same networks emerge during active conditions in response to various tasks. If similar patterns of neural activity have been found across diverse conditions, and ther..."
MediaWiki:Common.css
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−16