Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions by D. Baleanu, P. Agarwal, S. D. Purohit

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Roadmap for Designing Donor-<inline-formula><math display="inline"><semantics><mrow><mi mathvariant="bold-sans-serif">π</mi></mrow></semantics></math></inline-formula>-Acceptor Fluorophores in UV-Vis and NIR Regions: Synthesis, Optical Properties and Applications by Guliz Ersoy, Maged Henary

“…The emission wavelengths of fluorophores can be altered from UV-vis to NIR region by modifying the donor unit, acceptor moiety and the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="sans-serif">π</mi></mrow></semantics></math></inline-formula> linker between them. …”
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A Generalization of Itô's Formula and the Stability of Stochastic Volterra Integral Equations by Wenxue Li, Meng Liu, Ke Wang

“…And then we extend Itô’s formula to a more general form applicable to some kinds of SVIEs. …”
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The formula for Peace as a result of a future without war in Ukraine by M. Pyvovar

“…Conversely, russia demanded the recognition of Crimea, withdrawal of Ukrainian forces from Donbas, expanded rights for the russian language, and other concessions. …”
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Bifidobacterium fermentation with infant formulas is associated with benefits for gut and brain barrier function by Emily G. Knox, Paula Sánchez-Díaz, Colin Buttimer, Sarah-Jane Leigh, Klara Vlckova, Colin Hill, Elaine Kennedy, Jonathan O’Regan, Seamus McSweeney, David Goulding, Maria Rodriguez Aburto, Caitriona M. O’Driscoll, John F. Cryan, Eoin Gunnigle, Gerard Clarke

“…Here, we evaluated the impact of four infant formulas fermented with three Bifidobacterium strains, originally isolated from infant stool, on gut and BBB integrity. …”
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Patterns Exploration on Patterns of Empirical Herbal Formula of Chinese Medicine by Association Rules by Li Huang, Jiamin Yuan, Zhimin Yang, Fuping Xu, Chunhua Huang

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The Anti-Hitler Coalition: From Enmity to Military Alliance — A Formula for Success by A. Yu. Borisov

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Effects of nitrogen, phosphorus and potassium formula fertilization on the yield and berry quality of blueberry. by Xinyu Zhang, Shuangshuang Li, Xiaoli An, Zejun Song, Yunzheng Zhu, Yi Tan, Xiaolan Guo, Delu Wang

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Effect of Carbohydrate Formulas on Instrumental and Sensory Parameters in Dry-Fermented Iberian Pork Sausages by Maite Sánchez-Giraldo, Montserrat Vioque-Amor, Rafael Gómez-Díaz, Ignacio Clemente-López, Manuel Ángel Amaro-López, Carmen Avilés-Ramírez

“…This batch, made with dextrose (in higher proportion) and dextrin, differed from the other Iberian pork sausages, suggesting that this carbohydrate formula may be more appreciated by Mediterranean consumers.…”
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A new formulation of the law of octic reciprocity for primes ≡±3(mod8) and its consequences by Richard H. Hudson, Kenneth S. Williams

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A New Default Probability Calculation Formula and Its Application under Uncertain Environments by Liang Wu, Xian-bin Mei, Jian-guo Sun

“…Following this, we develop a new fuzzy form pricing formula for CDS, the simulation analysis of which shows that all kinds of fuzziness in the market have a significant impact on credit spreads, and that the credit spreads, relative to the degree of external shock fuzziness, are much more sensitive. …”
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Detection, Risk Assessment, and Survey of Four Polycyclic Aromatic Hydrocarbon Markers in Infant Formula Powder by Chenggang Cai, Pinggu Wu, Pingping Zhou, Dajin Yang, Zhengyan Hu

“…A gas chromatography-mass spectroscopy (GC-MS) method was developed to assess the infant exposure assessment from four important polycyclic aromatic hydrocarbon (PAH) markers in infant formula powder: benzo[a]anthracene, chrysene, benzo[b]fluoranthene, and benzo[a]pyrene (collectively referred to as PAH4). …”
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A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space II by Young Sik Kim

“…We prove a change of scale formula for Wiener integrals of F on the abstract Wiener space.…”
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Asymptotic Formulas for the Reflection/Transmission of Long Water Waves Propagating in a Tapered and Slender Harbor by Eric-Gustavo Bautista, Federico Méndez, Oscar Bautista

“…We obtain asymptotic formulas for the reflection/transmission coefficients of linear long water waves, propagating in a harbor composed of a tapered and slender region connected to uniform inlet and outlet regions. …”
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Newfangled Linearization Formula of Certain Nonsymmetric Jacobi Polynomials: Numerical Treatment of Nonlinear Fisher’s Equation by W. M. Abd-Elhameed, Afnan Ali, Y. H. Youssri

“…The derivation of this formula is based on employing a new moment formula of this class of polynomials and after that using suitable symbolic computation to reduce the resulting linearization coefficients into simplified forms that do not contain any hypergeometric functions or sums. …”
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On the Normalized Laplacian Spectrum of the Zero-Divisor Graph of the Commutative Ring <inline-formula><math display="inline"><semantics><msub><mstyle mathvariant="bold"><mi mathvariant="double-struck">Z</mi></mstyle><mrow><msubsup><mi mathvariant="bold-italic">p</mi><mn mathvariant="bold">1</mn><msub><mi mathvariant="bold-italic">T</mi><mn mathvariant="bold">1</mn></msub></msubsup><msubsup><mi mathvariant="bold-italic">p</mi><mn mathvariant="bold">2</mn><msub><mi mathvariant="bold-italic">T</mi><mn mathvariant="bold">2</mn></msub></msubsup></mrow></msub></semantics></math></inline-formula> by Ali Al Khabyah, Nazim, Nadeem Ur Rehman

“…Motivated by their work, this article investigates the normalized Laplacian spectrum of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Γ</mo><mo>(</mo><msub><mi mathvariant="double-struck">Z</mi><mi mathvariant="fraktur">n</mi></msub><mo>)</mo></mrow></semantics></math></inline-formula> for a more general class of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">n</mi></semantics></math></inline-formula>, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">n</mi></semantics></math></inline-formula> is represented as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi>p</mi><mn>1</mn><msub><mi>T</mi><mn>1</mn></msub></msubsup><msubsup><mi>p</mi><mn>2</mn><msub><mi>T</mi><mn>2</mn></msub></msubsup></mrow></semantics></math></inline-formula>, with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>p</mi><mn>1</mn></msub></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>p</mi><mn>2</mn></msub></semantics></math></inline-formula> being distinct primes <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><msub><mi>p</mi><mn>1</mn></msub><mo><</mo><msub><mi>p</mi><mn>2</mn></msub><mo>)</mo></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>T</mi><mn>1</mn></msub><mo>,</mo><msub><mi>T</mi><mn>2</mn></msub></mrow></semantics></math></inline-formula> are positive integers.…”
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An Approximation Mathematical Formula of Pattern Analysis for Distorted Reflector Antennas considering Surface Normal Vector Variation by Shuxin Zhang, Guigeng Yang, Yiqun Zhang

“…In this approximation formula, besides the phase error caused by the structural deformation being added in the far field integral, the surface normal vector variation is also taken into consideration. …”
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Cost-effectiveness Analysis of Hypoallergenic Milk Formulas for the Management of Cow’s Milk Protein Allergy in the United Kingdom by Rui Martins, Mark P. Connolly, Eleanor Minshall

“…Hypoallergenic formulas comparative efficacy was sourced from a prospective cohort study. …”
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Fecal Microbiome and Metabolomic Profiles of Mixed-Fed Infants Are More Similar to Formula-Fed than Breastfed Infants by Mei Wang, Negin Valizadegan, Christopher J. Fields, Sharon M. Donovan

“…Many infants consume both human milk and infant formula (mixed-fed); however, few studies have investigated how mixed feeding affects the gut microbiome composition and metabolic profiles compared to exclusive breastfeeding or formula feeding. …”
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Solving change of basis from Bernstein to Chebyshev polynomials by D.A. Wolfram

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