Asymptotic Formulae via a Korovkin-Type Result by Daniel Cárdenas-Morales, Pedro Garrancho, Ioan Raşa

“…We present a sort of Korovkin-type result that provides a tool to obtain asymptotic formulae for sequences of linear positive operators.…”
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The formula for Peace as a result of a future without war in Ukraine by M. Pyvovar

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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

“…In the real world, corporate defaults will be affected by both external market shocks and counterparty risks. …”
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Formulas For Solutions Of The Riccati’s Equation by A. Asanov, E. Hazar, R. Asanov

“…In this paper we obtained the formula for the common solution of Riccati equations. …”
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A generalization of the Itô formula by Said Ngobi

“…The classical Itô formula is generalized to some anticipating processes. …”
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A generalized formula of Hardy by Geoffrey B. Campbell

“…We give new formulae applicable to the theory of partitions. Recent work suggests they also relate to quasi-crystal structure and self-similarity. …”
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Handy formulas for binomial moments by Maciej Skorski

“…This paper introduces novel formulas for binomial moments in the form of polynomials in the variance rather than in the success probability. …”
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Early and midterm results of Cook Formula stent in children with right heart disease: A single-center experience by Haritha Girija, Chinnasamy Sivaprakasam Muthukumaran, Rajaguru Ganesan, Sankarakuttalan Ramkishore, Vijay Arun, Vellusamy Mahitha, Neville Solomon, Swaminathan Vaidyanathan

“…Results: Our patient cohort included 65 patients with a median age of 3 years (range: 3 months to 17 years). …”
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Stress-Softening Formulae of Polymer Bearings by M. H. B. M. Shariff, Anoop Sivasankaran, Zanin Kavazović

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Low Temperature Expansion in the Lifshitz Formula by M. Bordag

“…The starting point is the Lifshitz formula in Matsubara representation and the basic method is its reformulation using the Abel-Plana formula making full use of the analytic properties. …”
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Kreĭn's trace formula and the spectral shift function by Khristo N. Boyadzhiev

“…We give here a new proof of this result and discuss the class of admissible functions. …”
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An iterative method based on the average quadrature formula by Tusar Singh, Dwiti Behera, Shno Othman Ahmed, Rostam Saeed

“…This method involves the creation of a new quadrature formula by averaging Simpson's 1/3 rd and Trapezoidal rules. …”
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Formulas for Generalized Two-Qubit Separability Probabilities by Paul B. Slater

“…The possibility of an analogous “master” formula for P(k,α) is, then, investigated, and a number of interesting results are found.…”
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An Observational Study of Glomerular Functions in Beta-thalassemia Major Children by Schwartz Formula and Technetium 99m Diethylenetriaminepentaacetic Acid Renogram by Sukanta Mandal, Tathagata Bose, Rachna Gulati, Manish Singh Ahuja

“…P < 0.05 was considered statistically significant. Results: The prevalence of glomerular dysfunction by Schwartz formula and DTPA renogram was 44% and 24%, respectively. …”
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<inline-formula><tex-math notation="LaTeX">$\mathcal {H}_{2}$</tex-math></inline-formula>- and <inline-formula><tex-math notation="LaTeX">$\mathcal {H}_\infty$</tex-math></inline-f... by Abhishek Pandala, Aaron D. Ames, Kaveh Akbari Hamed

“…The developed layered controllers are numerically and experimentally validated for the robust locomotion of the A1 quadrupedal robot subject to various disturbances and uneven terrains. Our numerical results suggest that the <inline-formula><tex-math notation="LaTeX">$\mathcal {H}_{2}$</tex-math></inline-formula>- and <inline-formula><tex-math notation="LaTeX">$\mathcal {H}_\infty$</tex-math></inline-formula>-optimal MPC controllers significantly improve the robust stability of the gaits compared to the normal MPC.…”
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Bushen Huoxue formula protects against renal fibrosis and pyroptosis in chronic kidney disease by inhibiting ROS/NLRP3-mediated inflammasome activation by Lin Liao, Pengyu Tao, Qiming Xu, Jie Chen, Weiwei Liu, Jing Hu, Jianrao Lu

“…Bushen Huoxue (BSHX) formula is a Traditional Chinese Medicine used to treat chronic renal failure. …”
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Finite Integral Formulas Involving Multivariable Aleph-Functions by Hagos Tadesse, D. L. Suthar, Minilik Ayalew

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ON THE COMPLEX FORMULA OF THE APPARENT POWER IN CALCULATIONS OF THE ELECTRICAL SYSTEMS by Bаndia Baro

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A note on the exact formulas for certain $2$-color partitions by Guadalupe, Russelle

“…Let $p\le 23$ be a prime and $a_p(n)$ count the number of partitions of $n$ where parts that are multiple of $p$ come up with $2$ colors. Using a result of Sussman, we derive the exact formula for $a_p(n)$ and obtain an asymptotic formula for $\log a_p(n)$. …”
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On the Complex Inversion Formula and Admissibility for a Class of Volterra Systems by Ahmed Fadili, Hamid Bounit

“…We first present results on the validity of the inverse formula of the Laplace transform for the resolvent families associated with scalar Volterra integral equations of convolution type in Banach spaces, which extends and improves the results in Hille and Philllips (1957) and Cioranescu and Lizama (2003, Lemma 5), respectively, including the stronger version for a class of scalar Volterra integrodifferential equations of convolution type on unconditional martingale differences UMD spaces, provided that the leading operator generates a C0-semigroup. …”
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