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17:55, 19 October 2022 Gianfranco talk contribs created page 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...")
17:55, 19 October 2022 Gianfranco talk contribs created page 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...")
17:54, 19 October 2022 Gianfranco talk contribs created page 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....")
17:53, 19 October 2022 Gianfranco talk contribs created page 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...")
17:53, 19 October 2022 Gianfranco talk contribs created page 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...")
17:52, 19 October 2022 Gianfranco talk contribs created page 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...")
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:Tau by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:Pval by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:Psi by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:P-val by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:M by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:Krennikov1a by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:Krennikov1 by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:Khrennikov006 by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:Khrennikov005 by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:Khrennikov004 by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:Khrennikov003 by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:Khrennikov002 by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:Khrennikov001 by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:Imo by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:Im by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:Hilbert007 by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:Hilbert006 by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:Hilbert005 by file upload (1 revision)
16:13, 19 October 2022 Gianfranco talk contribs imported Formula:Hilbert004 by file upload (1 revision)
16:12, 19 October 2022 Gianfranco talk contribs imported Formula:Hilbert003 by file upload (1 revision)
16:12, 19 October 2022 Gianfranco talk contribs imported Formula:Hilbert002 by file upload (1 revision)
16:12, 19 October 2022 Gianfranco talk contribs imported Formula:Hilbert001 by file upload (1 revision)
16:12, 19 October 2022 Gianfranco talk contribs imported Formula:H by file upload (1 revision)
16:12, 19 October 2022 Gianfranco talk contribs imported Formula:Delta series by file upload (1 revision)
16:12, 19 October 2022 Gianfranco talk contribs imported Formula:Delta4 by file upload (1 revision)
16:12, 19 October 2022 Gianfranco talk contribs imported Formula:Delta3 by file upload (1 revision)
16:12, 19 October 2022 Gianfranco talk contribs imported Formula:Delta2 by file upload (1 revision)
16:12, 19 October 2022 Gianfranco talk contribs imported Formula:Delta1 by file upload (1 revision)
16:12, 19 October 2022 Gianfranco talk contribs imported Formula:D by file upload (1 revision)
16:12, 19 October 2022 Gianfranco talk contribs imported Formula:C by file upload (1 revision)
16:12, 19 October 2022 Gianfranco talk contribs imported Formula:A-alpha by file upload (1 revision)
16:12, 19 October 2022 Gianfranco talk contribs imported Formula:1 by file upload (1 revision)
16:10, 19 October 2022 Gianfranco talk contribs created page Formula:P-val (Created page with "<math>P-value</math>")
16:09, 19 October 2022 Gianfranco talk contribs created page Formula:Pval (Created page with "<math>P-value</math>")
16:08, 19 October 2022 Gianfranco talk contribs created page Template:Formulist (Created page with "{{!}}- {{!}} [[F:{{{1}}}]] {{!}} {{:F:{{{1}}}}} {{!}} '''<code><nowiki>{{:F:</nowiki>{{{1}}}<nowiki>}}</nowiki></code>'''")
16:08, 19 October 2022 Gianfranco talk contribs created page Aiuto:Elenco formule (Created page with " == Valori caldi== {| |- | {| border="1" cellpadding="8" | |- ! link ! rendering ! codice da inserire |- {{formulist|Pval}} |} | {| border="1" cellpadding="8" | |- ! link ! rendering ! codice da inserire |- {{formulist|P-val}} |} |} == Singole lettere == {| border="1" cellpadding="8" | |- ! link ! rendering ! codice da inserire |- {{Formulist|Khrennikov001}} {{Formulist|Khrennikov002}} {{formulist|C}} {{formulist|D}} {{formulist|H}} {{formulist|Hilbert003}} {{...")
15:12, 19 October 2022 Gianfranco talk contribs moved page Template:PV to Template:Pv
15:11, 19 October 2022 Gianfranco talk contribs created page Template:PV (Created page with "<math>P-value</math>")
15:05, 19 October 2022 Gianfranco talk contribs created page Store:FLen06 (Created page with "==Final considerations== Topics that could distract the reader’s attention were, in fact, essential for demonstrating the message. Normally, indeed, when any more or less brilliant mind allows itself to throw a stone into the pond of Science, a shockwave is generated, typical of the period of Kuhn’s extraordinary science, against which most of the members of the international scientific community row. With good faith, we can sa...")
14:58, 19 October 2022 Gianfranco talk contribs created page Store:FLen05 (Created page with "==Fuzzy set <math>\tilde{A}</math> and membership function <math>\mu_{\displaystyle {\tilde {A}}}(x)</math>== We choose - as a formalism - to represent a fuzzy set with the 'tilde':<math>\tilde{A}</math>. A fuzzy set is a set where the elements have a 'degree' of belonging (consistent with fuzzy logic): some can be included in the set at 100%, others in lower percentages. To mathematically represent this degree of belong...")
14:51, 19 October 2022 Gianfranco talk contribs created page Store:FLen04 (Created page with "===Set operators=== Given the whole universe <math>U</math> we indicate with <math>x</math> its generic element so that <math>x \in U</math>; then, we consider two subsets <math>A</math> and <math>B</math> internal to <math>U</math> so that <math>A \subset U</math> and <math>B \subset U</math> {| |left|80px |'''Union:''' represented by the symbol <math>\cup</m...")
14:48, 19 October 2022 Gianfranco talk contribs created page Store:FLen03 (Created page with "==Set theory== As mentioned in the previous chapter, the basic concept of fuzzy logic is that of multivalence, i.e., in terms of set theory, of the possibility that an object can belong to a set even partially and, therefore, also to several sets with different degrees. Let us recall from the beginning the basic elements of the theory of ordinary sets. As will be seen, in them appear the formal expressions of the principles of Aristotelian logi...")
14:45, 19 October 2022 Gianfranco talk contribs created page Store:FLen02 (Created page with "==Fuzzy truth== In the ambitious attempt to mathematically translate human rationality, it was thought in the mid-twentieth century to expand the concept of classical logic by formulating fuzzy logic. Fuzzy logic concerns the properties that we could call ‘graduality’, i.e., which can be attributed to an object with different degrees. Examples are the properties ‘being sick’, ‘having pain’, ‘being tall’, ‘being young’, and so on. <!...")
14:33, 19 October 2022 Gianfranco talk contribs created page Store:FLen01 (Created page with "==Introduction== We have come this far because, as colleagues, are very often faced with responsibilities and decisions that are very difficult to take and issues such as conscience, intelligence and humility come into play. In such a situation, however, we are faced with two equally difficult obstacles to manage that of one <math>KB</math> (Knowledge Basis), as we discussed in the chapter ‘The logic of probabilistic language|Logic of probabil...")

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