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The integral value has the dimension of information. The differential measure can be used, for example, to discuss how the value of information changes with time or with other parameters of the problem.<\/jats:p>","DOI":"10.3390\/e27010043","type":"journal-article","created":{"date-parts":[[2025,1,7]],"date-time":"2025-01-07T06:49:13Z","timestamp":1736232553000},"page":"43","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["On the Differential and the Integral Value of Information"],"prefix":"10.3390","volume":"27","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1973-8449","authenticated-orcid":false,"given":"Raphael D.","family":"Levine","sequence":"first","affiliation":[{"name":"Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem 91904, Israel"},{"name":"Department of Molecular and Medical Pharmacology, David Geffen School of Medicine, University of California, Los Angeles, CA 90095, USA"},{"name":"Department of Chemistry and Biochemistry, University of California, Los Angeles, CA 90095, USA"}]}],"member":"1968","published-online":{"date-parts":[[2025,1,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Min Chen, J.M., Dunn Golan, A., and Ullah, A. 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Phys."},{"key":"ref_12","unstructured":"Tolman, R.C. (1948). The Principles of Statistical Mechanics, Oxford University Press."},{"key":"ref_13","unstructured":"Katz, A. (1967). Principles of Statistical Mechanics: The Information Theory Approach, Freeman."},{"key":"ref_14","unstructured":"Callen, H.B. (1985). Thermodynamics and an Introduction to Thermostatistics, Wiley. [2nd ed.]."},{"key":"ref_15","unstructured":"Mayer, J.E., and Mayer, M.G. (1940). Statistical Mechanics, Wiley."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"276","DOI":"10.1063\/1.1724036","article-title":"The Statistical Thermodynamics of Multicomponent Systems","volume":"13","author":"McMillan","year":"1945","journal-title":"J. Chem. Phys."},{"key":"ref_17","unstructured":"Clausius, R. (1879). Mechanical Theory of Heat, Macmillan."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Golan, A. (2017). Foundations of Info-Metrics: Modeling, Inference, and Imperfect Information, Oxford University Press.","DOI":"10.1093\/oso\/9780199349524.001.0001"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1103\/PhysRevA.18.89","article-title":"Connection Between Maximal Entropy and Scattering Theoretic Analyses of Collision Processes","volume":"18","author":"Alhassid","year":"1978","journal-title":"Phys. Rev. A"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"2122","DOI":"10.1021\/j100257a001","article-title":"Dynamical Symmetries","volume":"89","author":"Levine","year":"1985","journal-title":"J. Phys. 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