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Summatory Multiplicative Arithmetic Functions: Scaling and Renormalization
Published 2025-01-01“…We apply the derived formulas to a large number of basic summatory functions including the Euler <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ϕ</mi><mo>(</mo><mi>k</mi><mo>)</mo></mrow></semantics></math></inline-formula> and Dedekind <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ψ</mi><mo>(</mo><mi>k</mi><mo>)</mo></mrow></semantics></math></inline-formula> totient functions, divisor <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>σ</mi><mi>n</mi></msub><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> and prime divisor <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>β</mi><mo>(</mo><mi>k</mi><mo>)</mo></mrow></semantics></math></inline-formula> functions, the Ramanujan sum <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>C</mi><mi>q</mi></msub><mrow><mo>(</mo><mi>n</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> and Ramanujan <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>τ</mi></semantics></math></inline-formula> Dirichlet series, and others.…”
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KORELASI BODY MASS INDEX (BMI) DENGAN VO2MAX PADA ATLET SEMI-PROFESIONAL FUTSAL KOTA BLITAR
Published 2024-12-01Get full text
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Protecting the Autonomy of Patients with Severe Mental Illness Through Psychiatric Advance Directive Peer-Facilitation
Published 2023-08-01“…accountid=7118. [12] Rachel C. Conrad et al., "Duties toward Patients with Psychiatric Illness," Hastings Center Report 50, no. 3 (2020): 67-69, https://doi.org/10.1002/hast.1139…”
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Googling Patients
Published 2022-11-01“…This paper provides an excellent framework for those interested in a deeper analysis of potential uses of PTG. [9] 45 C.F.R. § 160.103. [10] “Summary of the HIPAA Privacy Rule.” …”
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Factorization of the Non-Normal Hamiltonian of Reggeon Field Theory in Bargmann Space
Published 2024-12-01“…</mo></mrow></mstyle></semantics></math></inline-formula> We introduce the change of variable <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>y</mi><mo>=</mo><mstyle scriptlevel="0" displaystyle="true"><mfrac><mi>λ</mi><mrow><mn>2</mn><msup><mi>λ</mi><mo>′</mo></msup></mrow></mfrac></mstyle><mrow><mo>(</mo><mn>1</mn><mo>−</mo><mi>c</mi><mi>o</mi><mi>s</mi><mrow><mo>(</mo><mi>θ</mi><mo>)</mo></mrow><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>θ</mi><mo>∈</mo><mo>[</mo><mn>0</mn><mo>,</mo><mi>π</mi><mo>]</mo></mrow></semantics></math></inline-formula> to obtain the main result of transforming <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mstyle scriptlevel="0" displaystyle="true"><msub><mi>H</mi><mrow><msup><mi>λ</mi><mo>′</mo></msup><mo>,</mo><mi>μ</mi><mo>,</mo><mi>λ</mi></mrow></msub></mstyle></semantics></math></inline-formula> into a product of two first-order operators: <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mstyle scriptlevel="0" displaystyle="true"><mrow><msub><mover accent="true"><mi>H</mi><mo stretchy="false">˜</mo></mover><mrow><msup><mi>λ</mi><mo>′</mo></msup><mo>,</mo><mi>μ</mi><mo>,</mo><mi>λ</mi></mrow></msub><mo>=</mo><msup><mi>λ</mi><mo>′</mo></msup><mrow><mo>(</mo><mfrac><mi>d</mi><mrow><mi>d</mi><mi>θ</mi></mrow></mfrac><mo>+</mo><mi>α</mi><mrow><mo>(</mo><mi>θ</mi><mo>)</mo></mrow><mo>)</mo></mrow><mrow><mo>(</mo><mo>−</mo><mfrac><mi>d</mi><mrow><mi>d</mi><mi>θ</mi></mrow></mfrac><mo>+</mo><mi>α</mi><mrow><mo>(</mo><mi>θ</mi><mo>)</mo></mrow><mo>)</mo></mrow><mo>,</mo></mrow></mstyle></semantics></math></inline-formula> with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>α</mi><mo>(</mo><mi>θ</mi><mo>)</mo></mrow></semantics></math></inline-formula> being explicitly determined.…”
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Detección temprana del cáncer colorrectal, una necesidad impostergable
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The Bioethics-CSR Divide
Published 2024-03-01“…The National Commission for the Protection of Human Subjects of Biomedical and Behavioral Research, “The Belmont Report: Ethical Principles and Guidelines for the Protection of Human Subjects of Research” (Washington: Department of Health, Education, and Welfare, April 18, 1979), https://www.hhs.gov/ohrp/sites/default/files/the-belmont-report-508c_FINAL.pdf. [13] Shana Alexander, “They Decide Who Lives, Who Dies,” in LIFE, by Time Inc, 19th ed., vol. 53 (Nova Iorque: Time Inc, 1962), 102–25…”
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