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15:41, 3 October 2022 Gianfranco talk contribs created page The Charity (Created page with "The Charity")
15:31, 3 October 2022 Gianfranco talk contribs completed renaming of translatable page The Charity to The Charity (copy)
15:31, 3 October 2022 Gianfranco talk contribs moved page The Charity to The Charity (copy) without leaving a redirect (Part of translatable page "The Charity")
17:20, 24 September 2022 Gianfranco talk contribs created page Formula:Khrennikov006 (Created page with "<math>O_1, O_2</math>")
16:40, 24 September 2022 Gianfranco talk contribs created page Talk:Copia di Quantum-like modeling in biology with open quantum systems and instruments (Created page with " ;Formule {| border="1" cellpadding="8" | |- | F:Khrennikov001 | {{:F:Khrennikov001}} |- | F:Khrennikov002 | {{:F:Khrennikov002}} |- | F:Khrennikov | {{:F:Khrennikov003}} |- | F:Khrennikov | {{:F:Khrennikov004}} |- | F:Khrennikov | {{:F:Khrennikov005}} |- | F:Khrennikov | {{:F:Khrennikov006}} |- | F:Khrennikov | {{:F:Khrennikov007}} |- | F:Khrennikov | {{:F:Khrennikov008}} |- | F:Khrennikov | {{:F:Khrennikov009}} |- | F:Khrennikov...")
16:29, 24 September 2022 Gianfranco talk contribs created page Formula:Khrennikov005 (Created page with "<math>[\hat{A},\hat{B}]\neq0</math>")
16:28, 24 September 2022 Gianfranco talk contribs created page Formula:Khrennikov004 (Created page with "<math>\hat{B}</math>")
16:27, 24 September 2022 Gianfranco talk contribs created page Formula:Khrennikov003 (Created page with "<math>\hat{A}</math>")
16:27, 24 September 2022 Gianfranco talk contribs created page Formula:Khrennikov002 (Created page with "<math>B</math>")
16:26, 24 September 2022 Gianfranco talk contribs created page Formula:Khrennikov001 (Created page with "<math>A</math>")
16:16, 24 September 2022 Gianfranco talk contribs created page Store:Khrennikov16 (Created page with "==11. Compound biosystems== ===11.1. Entanglement of information states of biosystems=== The state space <math>{\mathcal{H}}</math> of the biosystem <math>S</math> consisting of the subsystems <math>S_j,j=1,2,....n</math>, is the tensor product of subsystems’ state spaces<math>{\mathcal{H}}_j</math> , so {| width="80%" | |- | width="33%" |'''<big>*</big>''' | width="33%" |<math>\Im=\Im_1\otimes....\otimes\Im_n</math> | width="33%" align="right" |<math>(31)</math>...")
16:16, 24 September 2022 Gianfranco talk contribs created page Store:Khrennikov15 (Created page with "==10. Connecting electrochemical processes in neural networks with quantum informational processing== As was emphasized in introduction, quantum-like models are formal operational models describing information processing in biosystems. (in contrast to studies in quantum biology — the science about the genuine quantum physical processes in biosystems). Nevertheless, it is interesting to connect the structure quantum information processing in a biosystem with physical an...")
16:14, 24 September 2022 Gianfranco talk contribs created page Store:Khrennikov14 (Created page with "==9. Epigenetic evolution within theory of open quantum systems== In paper (Asano et al., 2012b), a general model of the epigenetic evolution unifying neo-Darwinian with neo-Lamarckian approaches was created in the framework of theory of open quantum systems. The process of evolution is represented in the form of ''adaptive dynamics'' given by the quantum(-like) master equation describing the dynamics of the information state of epigenome in the process of interaction wi...")
16:14, 24 September 2022 Gianfranco talk contribs created page Store:Khrennikov13 (Created page with " ==8. Open quantum systems: interaction of a biosystem with its environment== As was already emphasized, any biosystem <math>S</math> is fundamentally open. Hence, dynamics of its state has to be modeled via an interaction with surrounding environment <math> \varepsilon</math>. The states of <math>S</math> and <math> \varepsilon</math> are represented in the Hilbert spaces <math>\mathcal{H}</math> and <math>\mathcal{H}</math>. The compound system <math>S+\varepsilon<...")
16:13, 24 September 2022 Gianfranco talk contribs created page Store:Khrennikov12 (Created page with "==7. Genetics: interference in glucose/lactose metabolism== In paper (Asano et al., 2012a), there was developed a quantum-like model describing the gene regulation of glucose/lactose metabolism in Escherichia coli bacterium.11 There are several types of E. coli characterized by the metabolic system. It was demonstrated that the concrete type of E. coli can be described by the well determined linear operators; we find the invariant operator quantities characterizing each...")
16:12, 24 September 2022 Gianfranco talk contribs created page Store:Khrennikov11 (Created page with "==6. Modeling of cognitive effects== In cognitive and social science, the following opinion pool is known as the basic example of the order effect. This is the Clinton–Gore opinion pool (Moore, 2002). In this experiment, American citizens were asked one question at a time, e.g., :<math>A=</math> “Is Bill Clinton honest and trustworthy?” :<math>B=</math> “Is Al Gore honest and trustworthy?” Two sequential probability distributions were calculated on the basis o...")
16:11, 24 September 2022 Gianfranco talk contribs created page Store:Khrennikov10 (Created page with "==5. Modeling of the process of sensation–perception within indirect measurement scheme== Foundations of theory of ''unconscious inference'' for the formation of visual impressions were set in 19th century by H. von Helmholtz. Although von Helmholtz studied mainly visual sensation–perception, he also applied his theory for other senses up to culmination in theory of social unconscious inference. By von Helmholtz here are two stages of the cognitive process, and they...")
16:11, 24 September 2022 Gianfranco talk contribs created page Store:Khrennikov09 (Created page with "==4. Quantum instruments from the scheme of indirect measurements== The basic model for construction of quantum instruments is based on the scheme of indirect measurements. This scheme formalizes the following situation: measurement’s outputs are generated via interaction of a system <math>S</math> with a measurement apparatus <math>M</math> . This apparatus consists of a complex physical device interacting with <math>S</math> and a pointer that shows the result of me...")
16:10, 24 September 2022 Gianfranco talk contribs created page Store:Khrennikov08 (Created page with "===3.4. General theory (Davies–Lewis–Ozawa)=== Finally, we formulate the general notion of quantum instrument. A superoperator acting in <math display="inline">\mathcal{L}(\mathcal{H})</math> is called positive if it maps the set of positive semi-definite operators into itself. We remark that, for each '''<u><math>x,\Im_A(x)</math></u>''' given by (13) can be considered as linear positive map. Generally any map<math>x\rightarrow\Im_A(x)</math> , where for each <m...")
15:15, 24 September 2022 Gianfranco talk contribs created page Store:Khrennikov07 (Created page with "===3.3. Non-projective state update: atomic instruments=== In general, the statistical properties of any measurement are characterized by # the output probability distribution <math display="inline">Pr\{\text{x}=x\parallel\rho\}</math>, the probability distribution of the output <math display="inline">x</math> of the measurement in the input state <math display="inline">\rho </math>; # the quantum state reduction <math display="inline">\rho\rightarrow\rho_{(X=x)} </ma...")
15:12, 24 September 2022 Gianfranco talk contribs created page Store:Khrennikov06 (Created page with "===3.2. Von Neumann formalism for quantum observables=== In the original quantum formalism (Von Neumann, 1955), physical observable <math>A</math> is represented by a Hermitian operator <math>\hat{A}</math> . We consider only operators with discrete spectra:<math>\hat{A}=\sum_x x\hat{E}^A(x)</math> where <math>\hat{E}^A(x)</math> is the projector onto the subspace of <math display="inline">\mathcal{H}</math> corresponding to the eigenvalue <math display="inline">x</...")
15:10, 24 September 2022 Gianfranco talk contribs created page Store:Khrennikov05 (Created page with "===3.1. A few words about the quantum formalism=== Denote by <math display="inline">\mathcal{H}</math> a complex Hilbert space. For simplicity, we assume that it is finite dimensional. Pure states of a system <math>S</math> are given by normalized vectors of <math display="inline">\mathcal{H}</math> and mixed states by density operators (positive semi-definite operators with unit trace). The space of density operators is denoted by <math>S</math> (<math display="inli...")
15:06, 24 September 2022 Gianfranco talk contribs created page Store:Khrennikov04 (Created page with " CP was mathematically formalized by Kolmogorov (1933)<ref name=":2" /> This is the calculus of probability measures, where a non-negative weight <math>p(A)</math> is assigned to any event <math>A</math>. The main property of CP is its additivity: if two events <math>O_1, O_2</math> are disjoint, then the probability of disjunction of these events equals to the sum of probabilities: {| width="80%" | |- | width="33%" |&n...")
14:48, 24 September 2022 Gianfranco talk contribs created page Store:Khrennikov03 (Created page with " The standard mathematical methods were originally developed to serve classical physics. The real analysis served as the mathematical basis of Newtonian mechanics (Newton, 1687)<ref>{{cita libro | autore = Newton Isaac | titolo = Philosophiae naturalis principia mathematica | url = https://archive.org/details/bub_gb_6EqxPav3vIsC | volume = | opera = | anno = 1687 | editore = Benjamin Motte | città = London UK | ISBN = | DOI = | PMID...")
14:45, 24 September 2022 Gianfranco talk contribs created page Store:Khrennikov02 (Created page with " Mathematical formalism of quantum mechanics, Open quantum systems, Quantum instruments, Quantum Markov dynamics, Gene regulation, Psychological effects,Cognition, Epigenetic mutation, Biological functions")
14:43, 24 September 2022 Gianfranco talk contribs moved page Store:Khrennikov1 to Store:Khrennikov01
14:42, 24 September 2022 Gianfranco talk contribs created page Store:Khrennikov1 (Created page with "<!-- Abstract -_> We present the novel approach to mathematical modeling of information processes in biosystems. It explores the mathematical formalism and methodology of quantum theory, especially quantum measurement theory. This approach is known as ''quantum-like'' and it should be distinguished from study of genuine quantum physical processes in biosystems (quantum biophysics, quantum cognition). It is based on quantum information representation of biosystem’s stat...")
14:40, 24 September 2022 Gianfranco talk contribs created page Copia di Quantum-like modeling in biology with open quantum systems and instruments (Created page with "{{FR | Title = Quantum-like modeling in biology with open quantum systems and instruments | author1 = Irina Basieva | author2 = Andrei Khrennikov | author3 = Masanao Ozawa | Source = https://pubmed.ncbi.nlm.nih.gov/33347968/ | Original =  | Date = 2021<!-- date of the original work, when the author/s published it (dd/mm/yy...")
16:38, 23 September 2022 Gianfranco talk contribs created page Formula:Test15 (Created page with "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. (2). A prob...")
16:01, 23 September 2022 Gianfranco talk contribs created page Nota test (Created page with "<ref>Test1</ref>")
15:52, 23 September 2022 Gianfranco talk contribs created page Formula:Krennikov1a (Created page with "<math>P(B=\beta)=\sum_\alpha P(A=\alpha)P(B=\beta|A=\alpha)</math>")
15:50, 23 September 2022 Gianfranco talk contribs created page Formula:Krennikov1 (Created page with "{| width="80%" | |- | width="33%" | | width="33%" |<math>P(B=\beta)=\sum_\alpha P(A=\alpha)P(B=\beta|A=\alpha)</math> | width="33%" align="right" |<math>(1)</math> |}")
15:38, 23 September 2022 Gianfranco talk contribs created page Formula:1 (Created page with "{{F|K_{brain}}}")
15:38, 23 September 2022 Gianfranco talk contribs created page Template:F (Created page with "<math>{{{1}}}</math>")
15:36, 23 September 2022 Gianfranco talk contribs created page (Test) Exploring electroencephalography with a model inspired by quantum mechanics (Created page with "{{FR | Title = Exploring electroencephalography with a model inspired by quantum mechanics | author1 = Nicholas J. M. Popiel | author2 = Colin Metrow | author3 = Geofrey Laforge | author4 = Adrian M. Owen | author5 = Bobby Stojanoski | author6 = Andrea Soddu | author7 = | author8 = | author9 = | author10 = | Source = https://pubmed.ncbi.nlm.nih.gov/34611185/ | Original = <!-- link t...")
09:39, 22 September 2022 Gianfranco talk contribs created page Draft:2510 (Created page with "====<translate> The partition of causal relevance</translate>==== :Always be <math>n</math> the number of people we have to conduct the analyses upon, if we divide (based on certain conditions as explained below) this group into <math>k</math> subsets <math>C_i</math> with <math>i=1,2,\dots,k</math>, a cluster is created that is called a "partition set" {{:Draft:2514}} <translate> where with the symbolism <math>C_i \subset n </math> it indicates...")
09:38, 22 September 2022 Gianfranco talk contribs created page Draft:2514 (Created page with "<math>\pi</math>: :<math>\pi = \{C_1, C_2,\dots,C_k \} \qquad \qquad \text{with} \qquad \qquad C_i \subset n , </math>")
09:34, 22 September 2022 Gianfranco talk contribs created page Draft:2515 (Created page with "{| |+ |<math>P(D| Deg.TMJ \cap TMDs)=0.95 \qquad \qquad \; </math> | |<translate> where</translate> | | |<math>\C_1 \equiv Deg.TMJ \cap TMDs</math> |- |<math>P(D| Deg.TMJ \cap noTMDs)=0.3 \qquad \qquad \quad </math> | |<translate> where</translate> | | |<math>C_2\equiv Deg.TMJ \cap noTMDs</math> |- |<math>P(D| no Deg.TMJ \cap TMDs)=0.199 \qquad \qquad \; </math> | |<translate> where</translate> | | |<math>C_3\equiv no Deg...")
16:32, 21 September 2022 Gianfranco talk contribs created page (Test):Two Forms of Electrical Transmission Between Neurons/fr (Created page with "{{Transl}} <div style="display: inline-block; font-size: 78%; float:right; width:420px; border: 1px solid orange; margin: 0.6em; padding: 1em; border-radius: 10px; background-color: #f1f1dd; -webkit-box-shadow: 6px 6px 75px -8px rgba(0,0,0,0.75); -moz-box-shadow: 6px 6px 75px -8px rgba(0,0,0,0.75); box-shadow: 6px 6px 75px -8px rgba(0,0,0,0.75)"> <div style="display:block; text-align:center; background-color:green; color: white; border-radius: 6px; font-size:150%; paddi...")
16:29, 21 September 2022 Gianfranco talk contribs created page (Test):Two Forms of Electrical Transmission Between Neurons/it (Created page with "{{transl}} <div style="display: inline-block; font-size: 78%; float:right; width:420px; border: 1px solid orange; margin: 0.6em; padding: 1em; border-radius: 10px; background-color: #f1f1dd; -webkit-box-shadow: 6px 6px 75px -8px rgba(0,0,0,0.75); -moz-box-shadow: 6px 6px 75px -8px rgba(0,0,0,0.75); box-shadow: 6px 6px 75px -8px rgba(0,0,0,0.75)"> <div style="display:block; text-align:center; background-color:green; color: white; border-radius: 6px; font-size:150%; paddi...")
16:27, 21 September 2022 Gianfranco talk contribs created page (Test):Two Forms of Electrical Transmission Between Neurons (Created page with " <div style="display: inline-block; font-size: 78%; float:right; width:420px; border: 1px solid orange; margin: 0.6em; padding: 1em; border-radius: 10px; background-color: #f1f1dd; -webkit-box-shadow: 6px 6px 75px -8px rgba(0,0,0,0.75); -moz-box-shadow: 6px 6px 75px -8px rgba(0,0,0,0.75); box-shadow: 6px 6px 75px -8px rgba(0,0,0,0.75)"> <div style="display:block; text-align:center; background-color:green; color: white; border-radius: 6px; font-size:150%; padding:5px">''...")
16:22, 21 September 2022 Gianfranco talk contribs created page Template:Transl (Created page with "{| style="align:center; width:80%; border:1px solid grey; border-radius: 8px;" |- ! align="right" width="20%" background="grey" | '''Other languages:''' | align="left" | '''English · français · italiano''' |}")
16:17, 21 September 2022 Gianfranco talk contribs created page Translations:Draft:Two Forms of Electrical Transmission Between Neurons/3/fr (Created page with "La seconde se produit en l'absence de contacts cellule à cellule et est une conséquence des champs électriques extracellulaires générés par l'activité électrique des neurones. Nous replaçons ici les notions actuelles sur la transmission électrique dans une perspective historique et nous opposons les contributions de ces deux formes différentes de communication électrique au fonctionnement du cerveau.")
16:16, 21 September 2022 Gianfranco talk contribs created page Draft:Two Forms of Electrical Transmission Between Neurons/fr (Created page with "L'une d'elles est la conséquence des voies intercellulaires de faible résistance, appelées "jonctions lacunaires", pour la propagation des courants électriques entre l'intérieur de deux cellules.")
16:16, 21 September 2022 Gianfranco talk contribs created page Translations:Draft:Two Forms of Electrical Transmission Between Neurons/Page display title/fr (Created page with "Draft:Deux formes de transmission électrique entre les neurones")
16:16, 21 September 2022 Gianfranco talk contribs created page Translations:Draft:Two Forms of Electrical Transmission Between Neurons/1/fr (Created page with "La signalisation électrique est une caractéristique cardinale du système nerveux et lui confère la capacité de réagir rapidement aux changements de l'environnement. Bien que la communication synaptique entre les cellules nerveuses soit perçue comme étant principalement à médiation chimique, des interactions synaptiques électriques se produisent également. Deux stratégies différentes sont responsables de la communication électrique entre les neurones")
16:16, 21 September 2022 Gianfranco talk contribs created page Translations:Draft:Two Forms of Electrical Transmission Between Neurons/2/fr (Created page with "L'une d'elles est la conséquence des voies intercellulaires de faible résistance, appelées "jonctions lacunaires", pour la propagation des courants électriques entre l'intérieur de deux cellules.")
16:15, 21 September 2022 Gianfranco talk contribs created page Translations:Draft:Two Forms of Electrical Transmission Between Neurons/3/it (Created page with "La seconda si verifica in assenza di contatti cellula-cellula ed è una conseguenza dei campi elettrici extracellulari generati dall'attività elettrica dei neuroni. In questa sede, collochiamo le attuali nozioni sulla trasmissione elettrica in una prospettiva storica e contrapponiamo i contributi delle due diverse forme di comunicazione elettrica alla funzione cerebrale.")
16:14, 21 September 2022 Gianfranco talk contribs created page Translations:Draft:Two Forms of Electrical Transmission Between Neurons/2/it (Created page with "One is the consequence of low resistance intercellular pathways, called “gap junctions”, for the spread of electrical currents between the interior of two cells")
16:14, 21 September 2022 Gianfranco talk contribs created page Draft:Two Forms of Electrical Transmission Between Neurons/it (Created page with "Die elektrische Signalübertragung ist ein wesentliches Merkmal des Nervensystems und verleiht ihm die Fähigkeit, schnell auf Veränderungen in der Umwelt zu reagieren. Obwohl man davon ausgeht, dass die synaptische Kommunikation zwischen Nervenzellen hauptsächlich chemisch vermittelt wird, gibt es auch elektrische synaptische Interaktionen. Für die elektrische Kommunikation zwischen Neuronen sind zwei verschiedene Strategien verantwortlich Übersetzt mit www.DeepL.c...")

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