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1

Koca, Mehmet, Nazife Ozdes Koca, Abeer Al-Siyabi, and Ramazan Koc. "Explicit construction of the Voronoi and Delaunay cells ofW(An) andW(Dn) lattices and their facets." Acta Crystallographica Section A Foundations and Advances 74, no. 5 (2018): 499–511. http://dx.doi.org/10.1107/s2053273318007842.

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Voronoi and Delaunay (Delone) cells of the root and weight lattices of the Coxeter–Weyl groupsW(An) andW(Dn) are constructed. The face-centred cubic (f.c.c.) and body-centred cubic (b.c.c.) lattices are obtained in this context. Basic definitions are introduced such as parallelotope, fundamental simplex, contact polytope, root polytope, Voronoi cell, Delone cell,n-simplex,n-octahedron (cross polytope),n-cube andn-hemicube and their volumes are calculated. The Voronoi cell of the root lattice is constructed as the dual of the root polytope which turns out to be the union of Delone cells. It is
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2

Kumar, Sanjay, Debaprasad Giri, and Sujata Krishna. "Multifractal behaviour of n-simplex lattice." Pramana 54, no. 6 (2000): 863–70. http://dx.doi.org/10.1007/s12043-000-0181-3.

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3

Leemreize, Hanna, Jacob Rostgaard Eltzholtz, and Henrik Birkedal. "Lattice macro and microstrain fluctuations in the calcified byssus of Anomia simplex." European Journal of Mineralogy 26, no. 4 (2014): 517–22. http://dx.doi.org/10.1127/0935-1221/2014/0026-2391.

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4

Cheng, Naiqian, Benes L. Trus, David M. Belnap, William W. Newcomb, Jay C. Brown, and Alasdair C. Steven. "Handedness of the Herpes Simplex Virus Capsid and Procapsid." Journal of Virology 76, no. 15 (2002): 7855–59. http://dx.doi.org/10.1128/jvi.76.15.7855-7859.2002.

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ABSTRACT The capsid of herpes simplex virus has an icosahedral surface lattice with a nonskew triangulation number, T=16. Nevertheless, the proteins arrayed on this lattice necessarily have an intrinsic handedness. We have determined the handedness of both the herpes simplex virus type 1 capsid and its precursor procapsid by a cryoelectron microscopic tilting method.
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5

Sasakura, Naoki. "Evolving fuzzy CPn and lattice n-simplex." Physics Letters B 599, no. 3-4 (2004): 319–25. http://dx.doi.org/10.1016/j.physletb.2004.08.043.

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6

Forcade, Rod, and Jack Lamoreaux. "Lattice-Simplex Coverings and the 84-Shape." SIAM Journal on Discrete Mathematics 13, no. 2 (2000): 194–201. http://dx.doi.org/10.1137/s0895480198349622.

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7

Zhu, Xuanmin, Yuanchun Deng, Dezheng Zhang, Runping Gao, Qun Wei, and Zijiang Luo. "Spatial search by continuous-time quantum walk on truncated simplex lattices." Laser Physics Letters 20, no. 3 (2023): 035205. http://dx.doi.org/10.1088/1612-202x/acb594.

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Abstract Quantum search via continuous-time quantum walk on truncated simplex lattices is an important example of the quantum search on the structured database. In this letter, when the search target is a set of the marked vertices, the run time of the quantum search and the critical jumping rates are derived. Quantum search with the partial information of the location of the marked vertex is also discussed. Furthermore, with the edge weights suitably adjusted, the three-stage search process can be optimized into a two-stage quantum search algorithm on the second-order truncated simplex lattic
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8

Pradita Fiqlyanur Isna Primadana, Tristiana Erawati, Noorma Rosita, and Siti Hartini Hamdan. "Application of the Simplex Lattice Design Methode to Determine the Optimal Formula Nanoemulsion with Virgin Coconut Oil and Palm Oil." JURNAL FARMASI DAN ILMU KEFARMASIAN INDONESIA 11, no. 3 (2024): 395–401. https://doi.org/10.20473/jfiki.v11i32024.395-401.

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Background: The success of nanoemulsion preparation is characterized by characteristics such as small droplet size, polydispersity index (PDI), and % transmittance, which are close to 100%. One of these factors is the type of oil component used. The Simplex Lattice Design (SLD) method can be used to determine the ratio of oil combinations to obtain an optimal nanoemulsion formula. Objective: The application of the Simplex Lattice Design (SLD) method can help researchers speed up the acquisition of optimal formulas without trial and error so that nanoemulsion formulas that meet specifications c
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9

Setyawan, Ferdinta D., Ilham Kuncahyo, and Wiwin Herdwiani. "Optimisation and Characterisation of Curcumin Nanoparticles with Chitosan-TPP Combination Using Ionic Gelation Method as a Cut Wound Healer." East Asian Journal of Multidisciplinary Research 3, no. 9 (2024): 4271–88. http://dx.doi.org/10.55927/eajmr.v3i9.10865.

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Curcumin has low oral bioavailability, low solubility, and is easily degraded, making its clinical application difficult. This study aims to determine the effect of optimum concentration and formula of chitosan and TPP in the preparation of curcumin nanoparticles on particle size, zeta potential, adsorption efficiency, and incision wound healing. The optimisation method used simplex lattice design method. There were 8 draft formulas consisting of a combination of chitosan and TPP. Each formula was tested for zeta potential value, adsorption efficiency, particle morphology, and wound healing ab
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10

Zhao, Haiqing, Guanghui Li, and Junpeng Li. "Uniform Test on the Mixture Simplex Region." Symmetry 14, no. 7 (2022): 1371. http://dx.doi.org/10.3390/sym14071371.

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For the symmetrical mixture model and mixture test area, the lattice point set is used to partition, and then the corresponding test statistics can be constructed. In this paper, we first propose the partition methods under the lattice point sets and obtain several sub-simplexes without common interior points. Furthermore, we present a method for constructing a uniform design on the simplex using the center points of these sub-simplexes. The designs satisfy the uniformity of maximum distance deviation and provide good results for the mean square error deviation. Finally, the uniformity test on
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11

Chasalow, Scott D., and Richard J. Brand. "Algorithm AS 299: Generation of Simplex Lattice Points." Applied Statistics 44, no. 4 (1995): 534. http://dx.doi.org/10.2307/2986144.

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12

Cattani, Carlo, Ettore Laserra, and Ivana Bochicchio. "Simplicial Approach to Fractal Structures." Mathematical Problems in Engineering 2012 (2012): 1–21. http://dx.doi.org/10.1155/2012/958101.

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13

Al Sabouni-Zawadzka, Anna. "Extreme Mechanical Properties of Regular Tensegrity Unit Cells in 3D Lattice Metamaterials." Materials 13, no. 21 (2020): 4845. http://dx.doi.org/10.3390/ma13214845.

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The study focuses on the identification of extreme mechanical properties of 3D lattice metamaterials based on regular tensegrity modules: 4-strut simplex, 3-strut simplex, expanded octahedron, truncated tetrahedron and X-module. The basis of the analysis is a continuum model which is used to find the equivalent elasticity matrices of the unit cells. For each examined tensegrity module a line of extreme properties is determined, which indicates the occurrence of the soft mode of deformation. Moreover, the eigenvectors corresponding to soft and stiff deformation modes are calculated and presente
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Ramadhani, Reshita Amalia, Dody Herdian Saputra Riyadi, Bayu Triwibowo, and Ratna Dewi Kusumaningtyas. "Review Pemanfaatan Design Expert untuk Optimasi Komposisi Campuran Minyak Nabati sebagai Bahan Baku Sintesis Biodiesel." Jurnal Teknik Kimia dan Lingkungan 1, no. 1 (2017): 11. http://dx.doi.org/10.33795/jtkl.v1i1.5.

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Pencampuran berbagai jenis minyak nabati untuk sintesis biodiesel merupakan salah satu upaya pencarian sumber energi alternatif terbarukan. Campuran berbagai macam minyak nabati lebih potensial karena ketersediaannya masih melimpah dan kurang dimanfaatkan. Campuran minyak nabati yang dapat digunakan sebagai bahan baku antara lain: minyak jarak pagar, minyak nyamplung, dan minyak jelantah. Komposisi campuran ditentukan dan dioptimasi menggunakan metode simplex lattice design dengan total campuran tertentu. Data yang akan didapat yaitu data pengaruh masing-masing campuran minyak terhadap penurun
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15

Kiyan, V. I., V. G. Gomozova, N. E. Monastyreva, and L. I. Mishchenko. "Lattice simplex planning study on sheet glass working characteristics." Glass and Ceramics 47, no. 3 (1990): 79–81. http://dx.doi.org/10.1007/bf01196173.

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16

C., Garala Kevin, Ekshinge Vinit, Jarag Ravindra, and Shinde Anil J. "Fast-disintegrating aceclofenac tablets: formulation development using simplex lattice." Thai Journal of Pharmaceutical Sciences 32, no. 3 (2008): 77–81. http://dx.doi.org/10.56808/3027-7922.2201.

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17

Suryani, Suryani, Andi Nafisah, and Syahrir Mana'an. "Optimasi Formula Gel Antioksidan Ekstrak Etanol Buah Bligo (Benincasa hispida) dengan Metode Simplex Lattice Design (SLD)." Jurnal Farmasi Galenika (Galenika Journal of Pharmacy) (e-Journal) 3, no. 2 (2017): 150–56. http://dx.doi.org/10.22487/j24428744.0.v0.i0.8815.

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Benincasa hispida has many benefits including as antioxidant. This study aims to evaluate the effect of Carbomer 940, HPMC and NaOH concentrations in antioxidant gel formula and to determine Carbomer 940, HPMC and NaOH concentrations that could produce the optimal antioxidant gel formula. Benincasa hispida was extracted by maceration method and antioxidant activity was tested by DPPH method. The antioxidant gels were formulated with variety combinations of Carbomer 940, HPMC and NaOH. The optimal gel formula was obtained by Design Expert 7.1.5 with Simplex Lattice Design method. The physical c
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18

Volgin, S. N., and O. S. Matina. "Determination of Optimal Composition for Freeze-Resistant Semifluid Grease by Scheffe Simplex Lattice Design." Oil and Gas Technologies 137, no. 6 (2021): 31–36. http://dx.doi.org/10.32935/1815-2600-2021-137-6-31-36.

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The purpose of this article is to present arguments for using Scheffe simplex lattice design to evaluate additive ratio for freeze-resistant semifluid grease. By extreme experiment method (simplex method) determined optimal quantitative ratio of additives, providing required performance level for freeze-resistant semifluid grease.
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19

Syahrina, Dahlia, and Noval Noval. "Optimasi Kombinasi Asam Sitrat dan Asam Tartrat sebagai Zat Pengasam pada Tablet Effervescent Ekstrak Ubi Jalar Ungu (Ipomoea batatas L)." Jurnal Surya Medika 7, no. 1 (2021): 156–72. http://dx.doi.org/10.33084/jsm.v7i1.2651.

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Purple sweet potato has the content of anthocyanin compounds that are efficacious as antioxidants. To deliver these efficacious compounds, formulations of effervescent tablets are required as antioxidants with a combination of citric acid and tartrate acid to accelerate the solubility of the drug. The research aims to optimize the combination of citric acid and tartrate acid as a sourgent on effervescent tablets of purple sweet potato extract using the simplex lattice design method. The manufacture of tablets using a direct pumping method with effervescent powder evaluation includes flow rate
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20

Dr., Udeme Hanson Iron. "Flexural Strength Models for Normal Laterised and High Strength Laterised Concretes at Optimum Mix Proportions." Flexural Strength Models for Normal Laterised and High Strength Laterised Concretes at Optimum Mix Proportions 05, no. 07 (2022): 1767–84. https://doi.org/10.5281/zenodo.6880694.

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This study develops mathematical models for obtaining optimum flexural strengths of normal laterised(NLC) and high strength laterised concretes (HSLC). The models can be expressly used to evaluate the indirect tensile strengths of both types of concretes without going through the traditional methods of mix design. Optimum mixing ratios and optimum flexural strengths predicted are also supplied by the models. The three point load method was adopted for testing for the flexural strengths. Laterite, has been widely used to partially or wholly replace sand in concrete with resultant low strengths.
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21

Zulhij, Fizrya, Minda Sari Lubis, Rafita Yuniarti, and Zulmai Rani. "Optimasi Dan Formulasi Minuman Instan Granul Bunga Kecombrang (Etlingera Elatior (Jack) R.M.Sm) Dengan Kombinasi Xylitol, Madu Dan Sukrosa." Indonesian Journal of Pharmaceutical and Clinical Research 7, no. 2 (2024): 25–31. https://doi.org/10.32734/idjpcr.v7i2.18034.

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Kecombrang merupakan tumbuhan dari keluarga Zingiberaceae, tumbuh di banyak tempat di Indonesia. Tujuan penelitian ini adalah untuk mengetahui hasil formula optimum granul instan serbuk bunga kecombrang (Etlingera elatior) dengan kombinasi Xylitol, Madu dan Sukrosa dari Simplex Lattice Design, untuk mengetahui hasil sediaan granul instan yang dilihat dari persyaratan sebagai granul instan. Metode yang digunakan adalah eksperimental. Granul instan diolah menggunakan simplex lattice design melalui aplikasi Design Expert® versi 13, selanjutnya run formula yang didapat dari aplikasi dan diuji kar
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22

Dewi, Indri Kusuma. "OPTIMASI SEDIAAN GEL FRAKSI ETIL ASETAT TONGKOL JAGUNG." Jurnal Jamu Kusuma 1, no. 2 (2021): 57–66. http://dx.doi.org/10.37341/jurnaljamukusuma.v1i2.15.

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Gel merupakan sediaan kosmetik yang digunakan secara topikal, sehingga harus nyaman digunakan setelah lama penyimpanan. Gel adalah sediaan gel yang baik yang dibuat dengan mencampurkan gelling agent, humektan, dan alkalizing agent untuk menghasilkan gel dengan kualitas fisik dan stabilitas yang dapat diterima. Karbopol, TEA, dan propilen glikol digunakan sebagai basis gel dalam penelitian ini. Tujuan penelitian ini untuk mengetahui hasil optimum formulasi sediaan gel tongkol jagung. Metode optimasi digunakan untuk mendapatkan sediaan yang optimum adalah Simplex Lattice Design. Penelitian ini m
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23

LARSSON, T. A. "P-CELL GAUGE THEORIES, MANIFOLD SPACE, AND MULTI-DIMENSIONAL INTEGRABILITY." Modern Physics Letters A 05, no. 04 (1990): 255–64. http://dx.doi.org/10.1142/s0217732390000305.

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We construct lattice gauge theories where the gauge potentials live on p-cells, using ideas from the theory of multi-dimensional lattice integrability. The classical limit of these models can naturally be considered as chiral models in the space ΩPM of p-dimensional manifolds on M, or alternatively as gauge theories in ΩP−1M. The continuum models have an infinite set of functionally conserved currents in ΩPM, which are classical analogs of the simplex equations of lattice integrable systems.
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24

Khan, Mohammad Iqbal, Yassir M. Abbas, and Galal Fares. "Simplex-Lattice Hydration Prediction and Microstructure Verification of Cementitious Systems." Materials 12, no. 3 (2019): 490. http://dx.doi.org/10.3390/ma12030490.

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In this investigation, the age-dependent hydration development of blended pastes containing Portland cement (PC), pulverized fuel ash (PFA) and silica fume (SF) was assessed by quantifying the amount of CH and non-evaporable water using thermo-gravimetric analysis (TGA). Microstructure was investigated using scanning electron microscope (SEM). It was observed that the amount of liberated CH increases up to three-days in PC-PFA binary blended pastes, after which it progressively decreases and this reduction was proportional to the PFA dosage. The introduction of SF to PC-PFA binary mixtures to
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25

Uskova, Yuliya, and Roman Kandrokov. "SIMPLEX LATTICE METHOD APPLICATION IN MODELING THE GINGER COOKIES FORMULA." Bulletin of KSAU, no. 6 (January 22, 2025): 193–202. https://doi.org/10.36718/1819-4036-2023-6-193-202.

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The aim of the study is to optimize the recipe composition of enriched gingerbread cookies (using oatmeal and convection-dried arbutus powder) using a second-order simplex model. The spectral surface of the regression made it possible to determine the dependence of the plastic strength index of products on the percentage of bulk raw materials. An increase in plastic strength, within the studied limits of changes in prescription components by more than 15 %, leads to irreversible rheological changes in the structure of the product. It was established that the content of such mineral elements as
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Siswanto, Agus, Reza Aditya Al Iman, Erza Genatrika, Asmiyenti Djaliasrin Djalil, and Iwangga Afif Gawa Panulung. "Optimization of Floating Tablet Containing Glibenclamide Using Simplex Lattice Design." Journal of Physics: Conference Series 1464 (February 2020): 012043. http://dx.doi.org/10.1088/1742-6596/1464/1/012043.

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27

Azizkhodzhaeva, M. M., A. P. Irkhakhodzhaeva, and N. A. Sirazhiddinov. "Use of a simplex-lattice experimental design for studying glasses." Glass and Ceramics 49, no. 8 (1992): 386–88. http://dx.doi.org/10.1007/bf00677868.

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28

Tuthill, G. F., and W. A. Schwalm. "Biased interacting self-avoiding walks on the four-simplex lattice." Physical Review B 46, no. 21 (1992): 13722–34. http://dx.doi.org/10.1103/physrevb.46.13722.

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29

Molev, V. I., S. G. Kozhevatkin, S. N. Sizov, and M. V. Artamonova. "Simplex-lattice experiment-planning method applied to ternary metaphosphate systems." Glass and Ceramics 47, no. 6 (1990): 210–12. http://dx.doi.org/10.1007/bf00685463.

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30

Taufik, Irfan Imam, Sundani Nurono Soewandhi, and Yuda Prasetya Nugraha. "Optimasi Formula Emulgel Vitamin C dengan Pendekatan Simplex Lattice Design." Jurnal Sains Farmasi & Klinis 10, no. 1 (2023): 145. http://dx.doi.org/10.25077/jsfk.10.1.145-154.2023.

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Vitamin C dalam bidang kosmetik memiliki banyak manfaat termasuk sebagai antioksidan. Akan tetapi sediaan vitamin C mudah teroksidasi dan mengalami perubahan warna sehingga perlu ditambahkan penstabil yang mampu menjaga kestabilan vitamin C selama pemakaian dan penyimpanan. Penelitian ini bertujuan untuk mengetahui pengaruh hydroxyethyl acrylate/sodium acryloyldimethyl taurate copolymer dan natrium metabisulfit terhadap karaktiristik emulgel vitamin C serta menentukan formula emulgel yang optimum melalui pendekatan Design of Experiment (DOE) dengan metode Simplex Lattice Design. Hasil peneliti
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31

Leinartas, Evgeniy K. "The Euler-Maclaurin Formula in the Problem of Summation over Lattice Points of a Simplex." Journal of Siberian Federal University. Mathematics & Physics 15, no. 1 (2022): 108–13. http://dx.doi.org/10.17516/1997-1397-2022-15-1-108-113.

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32

Monton, Chaowalit, Panupong Chuanchom, Puwadon Popanit, Sukanya Settharaksa, and Pathamaporn Pathompak. "Simplex lattice design for optimization of the mass ratio of Curcuma longa L., Curcuma zedoaria (Christm.) Roscoe and Curcuma aromatica Salisb. to maximize curcuminoids content and antioxidant activity." Acta Pharmaceutica 71, no. 3 (2020): 445–57. http://dx.doi.org/10.2478/acph-2021-0025.

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Abstract The aim of this work was to optimize the mass ratio of three Curcuma plants’ rhizomes to obtain the highest curcuminoid content and antioxidant activity using the simplex lattice design. The selected Curcuma plants were C. longa, C. zedoaria and C. aromatica. The simplex lattice design was applied in the work. The individual curcuminoids (curcumin, demethoxycurcumin and bis-demethoxycurcumin) and total curcuminoid content were determined using high-performance liquid chromatography. Curcuma longa alone provided the highest content of bis-demethoxycurcumin and demethoxycurcumin. A mixt
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33

Aris Purwanto, Raudatul Patimah, Nor Latifah, and Sofia Nabila Safitri. "OPTIMASI FORMULASI TABLET EFFERVESCENT EKSTRAK KULIT PUTIH BUAH SEMANGKA (Citrulluslanatus) MENGGUNAKAN ASAM TARTRAT ASAM SITRAT." Medical Sains : Jurnal Ilmiah Kefarmasian 8, no. 1 (2023): 11–20. http://dx.doi.org/10.37874/ms.v8i1.464.

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Kulit putih buah semangka memiliki kandungan senyawa sitrulin yang berkhasiat sebagai antioksidan, untuk menghantarkan senyawa berkhasiat tersebut diperlukan formulasi sediaan tablet effervescent sebagai antioksidan dengan kombinasi asam tartrat dan asam sitrat guna mempercepat kelarutan obat. Penelitian ini bertujuan untuk melakukan optimasi formulasi asam sitrat dan asam tartrat sebagai zat pengasam pada tablet effervescent dengan menggunakan metode simplex lattice design. Pembuatan tablet menggunakan metode kempa langsung dengan evaluasi tablet meliputi uji organoleptik, keseragaman bobot t
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Lagarias, Jeffrey C., and Günter M. Ziegler. "Bounds for Lattice Polytopes Containing a Fixed Number of Interior Points in a Sublattice." Canadian Journal of Mathematics 43, no. 5 (1991): 1022–35. http://dx.doi.org/10.4153/cjm-1991-058-4.

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AbstractA lattice polytope is a polytope in whose vertices are all in . The volume of a lattice polytope P containing exactly k ≥ 1 points in d in its interior is bounded above by . Any lattice polytope in of volume V can after an integral unimodular transformation be contained in a lattice cube having side length at most n˙n ! V. Thus the number of equivalence classes under integer unimodular transformations of lattice poly topes of bounded volume is finite. If S is any simplex of maximum volume inside a closed bounded convex body K in having nonempty interior, then K⊆ ( n + 2)S — (n+ l)s whe
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Phadke, Shivaji, Tanvi Kanekar, Suhas Gumaste, and Vaishnavi Parikh. "Application of simplex lattice design for the development of extended release tablets of model drug diclofenac sodium." Therapeutic Delivery 10, no. 8 (2019): 515–25. http://dx.doi.org/10.4155/tde-2019-0034.

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Aim: Simplex lattice design was applied to predict extent of drug release from extended release diclofenac sodium tablets. Methods: The effects of composition on dissolution rate were evaluated by varying the levels of hydroxypropyl methylcellulose, dicalcium phosphate and cornstarch via three component design. Results: The rate of drug release was primarily dictated by the proportion of hydroxypropyl methylcellulose and was also affected by the proportion of dicalcium phosphate and the method of processing (direct compression/wet granulation). Polynomial equations constructed for directly com
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Kartikasari, Ayu Lifia Nur, Anisa Devi Kharisma Wibowo, and Ilham Kuncahyo. "Optimization of naringenin sunscreen cream formula using the simplex lattice design method." Journal of Halal Science and Research 4, no. 2 (2023): 81–87. http://dx.doi.org/10.12928/jhsr.v4i2.7172.

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Naringenin is a pure isolate belonging to a group of flavonoid compounds with pharmacological effects such as anti-inflammatory, anticancer, antiatherogenic, antifibrogenic, and antioxidant properties. The purpose of this study was to determine the effect of variations in the combination of emulator tween 80 and span 80 on physical quality and stability in naringenin sunscreen preparations, obtain the optimum formula composition from emulsifying agents, and activity of naringenin sunscreen cream preparations in terms of their SPF values. The study used Design Expert 7.1.5 software to design th
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Aumklad, Porawan, Phuvamin Suriyaamporn, and Prasopchai Patrojanasophon. "Formulation and Optimization of Progesterone Microemulsion Using Simplex Lattice Mixture Design." Key Engineering Materials 914 (March 21, 2022): 75–80. http://dx.doi.org/10.4028/p-rj4fmr.

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Progesterone (P4) is a neurosteroid hormone synthesized in both males and females, it is widely used in reproductive health and hormone replacement therapy. The aim of this study was to develop microemulsions (ME) and optimization of P4 microemulsion using a simplex lattice mixture design for enhancing the transdermal delivery of P4. Pseudo-ternary phase diagrams were generated to find the optimal ratio of the microemulsion constituents. The solubilities of P4 in different oils, surfactants, and co-surfactants were determined. The ME formulations of P4 were then prepared and optimized by simpl
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Dvurečenskij, Anatolij. "The Lattice and Simplex Structure of States on Pseudo Effect Algebras." International Journal of Theoretical Physics 50, no. 9 (2011): 2758–75. http://dx.doi.org/10.1007/s10773-011-0775-1.

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Turdiyanto, Totok, Iswandi Iswandi, and Ilham Kuncahyo. "KARAKTERISASI DAN OPTIMASI EMULGEL NA DIKLOFENAK DENGAN METODE SIMPLEX LATTICE DESIGN." Jurnal Ilmiah Ibnu Sina (JIIS): Ilmu Farmasi dan Kesehatan 8, no. 2 (2023): 239–52. http://dx.doi.org/10.36387/jiis.v8i2.1414.

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Diclofenac Na is an NSAID class of drugs that functions to treat pain and inflammation of rheumatoid arthritis, osteoarthritis or joint disease. The aim of this study is to investigate the effect of carbopol 940, HPMC K15M and propyleneglycol variations on the emulgel physical properties, carbopol concentration, HPMC, propyleneglycol to produce an optimum formula.The method used in this optimization is Simplex Lattice Design. The independent variables which include carbopol 490 , HPMC K15M , propylene glycol were then included in the expert design to obtain 16 runs. Each formula was tested for
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Sari, Arum Kavita, and Dwi Saryanti. "OPTIMASI PENGGUNAAN KARBOPOL DAN Na CMC PADA FORMULA GEL EKSTRAK ETANOL DAUN KAYU PUTIH (Melaleuca leucadendra L.)DENGAN METODE SIMPLEX LATTICE DESIGN." Jurnal Ilmiah Manuntung: Sains Farmasi Dan Kesehatan 7, no. 2 (2021): 175–81. https://doi.org/10.51352/jim.v7i2.458.

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Eucalyptus leaves (Melaleuca leucadendra L.) are a type of plant that has antibacterial properties for Klebsiella pneumoniae, which is a bacteria that causes respiratory tract infections (ISPA). Eucalyptus leaves have active compounds thought to have Klebsiella pneumoniae antibacterial activity, namely flavonoids and phenolic, in the ethanol extract of eucalyptus leaves with a concentration of 20%. The gel preparations have the advantage of being easy to dry out, forming a film layer that is easy to wash and gives a cool feeling to the skin. This study aims to make an optimal eucalyptus leaf e
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Setyawan, Eka Indra, Abdul Rohman, Erna Prawita Setyowati, and Akhmad Kharis Nugroho. "The combination of simplex lattice design and chemometrics in the formulation of green tea leaves as transdermal matrix patch." Pharmacia 68, no. (1) (2021): 275–82. https://doi.org/10.3897/pharmacia.68.e61734.

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Aim: This study was aimed to formulate a transdermal matrix patch using green tea leaf extract. Materials and methods: The transdermal matrix patch formulation was optimized by the simplex lattice design method. The correlation between responses was analyzed using chemometrics. The observed responses were: 1. the physical properties of the matrix patch, and 2. the percentage of dissolution efficiency of catechins, caffeine, and epigallocatechin gallate released from the patch. The determination of drug release kinetics was based on the curve-fitting analysis using zero-order, first-order, Higu
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Schröder, Bernd. "The Complexity of the Fixed Clique Property." Journal of Graph Algorithms and Applications 28, no. 1 (2024): 351–63. http://dx.doi.org/10.7155/jgaa.v28i1.2957.

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We prove that the following decision problems are co-NP-complete:Determinewhether a finite reflexive graph has the fixed clique property.Determinewhether a finite simplicial complex has the fixed simplex property.Determinewhether a finite truncated lattice has the fixed point property.
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Kim, Bara, and Jeongsim Kim. "A Refinement of the Conjecture on the Pseudo Component Transformation of the Lattice Points in the Simplex." Symmetry 12, no. 9 (2020): 1427. http://dx.doi.org/10.3390/sym12091427.

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We consider mixture experiments in which the proportions of the components must be non-negative and their sum must equal one. Thus, the experimental region for a mixture of components is a simplex. Li and Zhang (2017) made the conjecture that the pseudo component transformation of the lattice points in the simplex has a special property. In this paper, we show that this conjecture is not true in general. Furthermore, we refine this conjecture and prove the refined conjecture.
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Ostrover, Yaron, Vinicius G. B. Ramos, and Daniele Sepe. "From Lagrangian products to toric domains via the Toda lattice." Compositio Mathematica 161, no. 2 (2025): 365–84. https://doi.org/10.1112/s0010437x24007590.

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Abstract In this paper we use the periodic Toda lattice to show that certain Lagrangian product configurations in the classical phase space are symplectically equivalent to toric domains. In particular, we prove that the Lagrangian product of a certain simplex and the Voronoi cell of the root lattice $A_n$ is symplectically equivalent to a Euclidean ball. As a consequence, we deduce that the Lagrangian product of an equilateral triangle and a regular hexagon is symplectomorphic to a Euclidean ball in dimension 4.
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Aisiyah, Siti. "OPTIMASI SEDIAAN GUMMY CANDY PARASETAMOL DENGAN VARIASI KONSENTRASI GELATIN DAN GLISERIN MENGGUNAKAN METODE SIMPLEX LATTICE DESIGN." Jurnal Farmasi (Journal of Pharmacy) 11, no. 2 (2022): 13–22. http://dx.doi.org/10.37013/jf.v11i2.211.

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Gummy candy parasetamol adalah permen kenyal yang tersusun atas campuran pemanis dan komponen hidrokoloid yang mengandung parasetamol dan didesain untuk hancur dan lumer di lidah. Penelitian ini bertujuan untuk melihat pengaruh variasi konsentrasi gelatin dan gliserin terhadap kualitas fisik sediaan parasetamol gummy candy, serta mengetahui konsentrasi gelatin dan gliserin yang terbaik untuk mendapatkan sediaan parasetamol gummy candy dengan sifat fisi k optimum.Pembuatan sediaan menggunakan metode cetak tuang dan menggunakan 8 rancangan formula dari Design Expert Simplex Lattice Design dengan
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Fanani, Zaenal, Endang Setyowati, and Ria Etikasari. "Simplex Lattice Design Analysis for Optimizing the Sangketan Extract (Achyranthes aspera) production." Journal of Physics: Conference Series 1764, no. 1 (2021): 012022. http://dx.doi.org/10.1088/1742-6596/1764/1/012022.

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Fitrya, Fitrya, Najma Annuria Fithri, Budi Untari, and Aprililianti. "Tablet Formula Optimization From Helminthostachys Zaylanica Extract Using A Simplex Lattice Design." Science and Technology Indonesia 6, no. 3 (2021): 131–36. http://dx.doi.org/10.26554/sti.2021.6.3.131-136.

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Helminthostachys zeylanica extract has pharmacological activities such as antioxidant, antiinflamatory, and antihyerucemia. This extract is nontoxic substance from the acute and subchronic toxicity tests. This extract has a potency to be formulated into tablet dosage forms. This study aims to optimize a tablet formula from Helminthostachys zeylanica extract. Disintegrant and binder concentrations were independent variables, while physical properties and dissolution time of the tablets were dependent variables. The tablet was prepared by a wet granulation method. Formula was optimized by Simple
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Lee, Kangsun, Choong Kim, and Kwang Oh. "Single-Layered Microfluidic Network-Based Combinatorial Dilution for Standard Simplex Lattice Design." Micromachines 9, no. 10 (2018): 489. http://dx.doi.org/10.3390/mi9100489.

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In this paper, we presented a straightforward strategy to generate 15 combinations of three samples based on an experimental simplex lattice design using a single-layer microfluidic network. First, we investigated the performances of the plain structural and the groove structural combinatorial devices by computational simulation (CFD-ACE+). The simulated output concentrations were extremely close to the desirable values within an absolute error of less than 1%. Based on the simulated designs, polydimethylsiloxane (PDMS) devices were fabricated with soft lithography and tested with fluorescent
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Sania, Sania, Danang Raharjo, and Tatiana Siska Wardani. "OPTIMASI GEL MOISTURIZER ANTI-AGING EKSTRAK DAUN SUKUN DENGAN SIMPLEX LATTICE DESIGN." Jurnal Kesehatan Tambusai 5, no. 4 (2024): 10536–48. https://doi.org/10.31004/jkt.v5i4.34088.

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Gel merupakan sediaan setengah padat yang terdiri dari suatu disperse yang tersusun baik dari partikel organic yang kecil atau molekul organik yang besar dan saling diresapi cairan. Tujuan penelitian ini adalah untuk mengetahui pengaruh variasi HPMC dan propilenglikol terhadap mutu fisik dan aktivitas antioksidan dari ekstrak etanol daun sukun (Artocarpus altilis) dan untuk mengetahui konsentrasi HPMC dan propilenglikol yang paling optimal dalam sediaan gel moisturizer Anti-aging dengan metode Simplex Lattice Design (SLD). Metode penelitian ini yaitu penelitian kuantitatif bersifat eksperiment
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van Kamp, Herman V., Gerad K. Bolhuis, and Coenraad F. Lerk. "Optimization of a formulation for direct compression using a simplex lattice design." Pharmaceutisch Weekblad 9, no. 5 (1987): 265–73. http://dx.doi.org/10.1007/bf01953629.

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