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1

Zhang, Xiao-Ming, and Man-Hong Yung. "Low-depth optical neural networks." Chip 1, no. 1 (2022): 100002. http://dx.doi.org/10.1016/j.chip.2021.100002.

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2

Nešetřil, Jaroslav, and Patrice Ossona de Mendez. "On Low Tree-Depth Decompositions." Graphs and Combinatorics 31, no. 6 (2015): 1941–63. http://dx.doi.org/10.1007/s00373-015-1569-7.

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3

Kang, Yun-Suk, and Yo-Sung Ho. "Low-Resolution Depth Map Upsampling Method Using Depth-Discontinuity Information." Journal of Korea Information and Communications Society 38C, no. 10 (2013): 875–80. http://dx.doi.org/10.7840/kics.2013.38c.10.875.

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4

A Isogun, Monday, and Adekunle A Adepelumi. "Maximum Depth Rules for Total Magnetic Field Anomalies at Low Latitude." International Journal of Scientific Engineering and Research 6, no. 12 (2018): 165–71. https://doi.org/10.70729/ijser18512.

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5

Limaye, Nutan, Srikanth Srinivasan, and Sébastien Tavenas. "Superpolynomial Lower Bounds Against Low-Depth Algebraic Circuits." Communications of the ACM 67, no. 2 (2024): 101–8. http://dx.doi.org/10.1145/3611094.

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An Algebraic Circuit for a multivariate polynomial P is a computational model for constructing the polynomial P using only additions and multiplications. It is a syntactic model of computation, as opposed to the Boolean Circuit model, and hence lower bounds for this model are widely expected to be easier to prove than lower bounds for Boolean circuits. Despite this, we do not have superpolynomial lower bounds against general algebraic circuits of depth 3 (except over constant-sized finite fields) and depth 4 (over any field other than F 2 ), while constant-depth Boolean circuit lower bounds ha
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6

Reinders, Daniel M., Susan A. Baldwin, and Joel L. Bert. "Endometrial Thermal Balloon Ablation Using a High Temperature, Pulsed System: A Mathematical Model." Journal of Biomechanical Engineering 125, no. 6 (2003): 841–51. http://dx.doi.org/10.1115/1.1634279.

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A new endometrial thermal balloon ablation treatment for menorrhagia is modeled mathematically to predict its efficacy and safety. A device preheats a fluid to 173°C within a reservoir external to the uterus, and then pulses this fluid without further heating between the reservoir and the balloon for 2.1 min of treatment time. The model predicted this treatment to result in consistent immediate tissue death (coagulation) depths of 3.4±0.1 mm for uterine cavities of 7 to 26 mL, and that eventual necrosis (tissue death that would occur 1–5 days post burn) may occur to depths of 6.5±0.2 mm. Where
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7

Stefanoudis, Paris V., Molly Rivers, Struan R. Smith, et al. "Low connectivity between shallow, mesophotic and rariphotic zone benthos." Royal Society Open Science 6, no. 9 (2019): 190958. http://dx.doi.org/10.1098/rsos.190958.

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Worldwide coral reefs face catastrophic damage due to a series of anthropogenic stressors. Investigating how coral reefs ecosystems are connected, in particular across depth, will help us understand if deeper reefs harbour distinct communities. Here, we explore changes in benthic community structure across 15–300 m depths using technical divers and submersibles around Bermuda. We report high levels of floral and faunal differentiation across depth, with distinct assemblages occupying each depth surveyed, except 200–300 m, corresponding to the lower rariphotic zone. Community turnover was highe
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Stefanoudis, Paris, Molly Rivers, Struan Robertson Smith, et al. "Low connectivity between shallow, mesophotic and rariphotic zone benthos." Royal Society Open Science 6 (September 18, 2019): 190958. https://doi.org/10.1098/rsos.190958.

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Worldwide coral reefs face catastrophic damage due to a series of anthropogenic stressors. Investigating how coral reefs ecosystems are connected, in particular across depth, will help us understand if deeper reefs harbour distinct communities. Here, we explore changes in benthic community structure across 15–300 m depths using technical divers and submersibles around Bermuda. We report high levels of floral and faunal differentiation across depth, with distinct assemblages occupying each depth surveyed, except 200–300 m, corresponding to the lower rariphotic zone. Community turnov
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9

Wigderson, Avi. "Technical Perspective: Low-depth arithmetic circuits." Communications of the ACM 60, no. 6 (2017): 91. http://dx.doi.org/10.1145/3065468.

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10

Kim, Young L., Yang Liu, Vladimir M. Turzhitsky, Ramesh K. Wali, Hemant K. Roy, and Vadim Backman. "Depth-resolved low-coherence enhanced backscattering." Optics Letters 30, no. 7 (2005): 741. http://dx.doi.org/10.1364/ol.30.000741.

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11

Schuster, Thomas, Jonas Haferkamp, and Hsin-Yuan Huang. "Random unitaries in extremely low depth." Science 389, no. 6755 (2025): 92–96. https://doi.org/10.1126/science.adv8590.

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Random unitaries are central to quantum technologies and the study of complex quantum many-body physics. However, existing protocols for generating random unitaries require long evolution times and deep circuits. In this work, we prove that local quantum circuits can form random unitaries in extremely low depth on any geometry. These shallow circuits have low complexity and create only short-range correlations, yet are indistinguishable from random unitaries with exponential complexity. This finding contrasts sharply with classical systems, in which a long evolution time is required to appear
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12

Shao, Feng, Weisi Lin, Gangyi Jiang, and Mei Yu. "Low-Complexity Depth Coding by Depth Sensitivity Aware Rate-Distortion Optimization." IEEE Transactions on Broadcasting 62, no. 1 (2016): 94–102. http://dx.doi.org/10.1109/tbc.2015.2496818.

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13

Celinski, Peter, Jose F. López, S. Al-Sarawi, and Derek Abbott. "Low depth, low power carry lookahead adders using threshold logic." Microelectronics Journal 33, no. 12 (2002): 1071–77. http://dx.doi.org/10.1016/s0026-2692(02)00112-x.

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14

Jaskot, A. E., та M. S. Oey. "LINKING Lyα AND LOW-IONIZATION TRANSITIONS AT LOW OPTICAL DEPTH". Astrophysical Journal 791, № 2 (2014): L19. http://dx.doi.org/10.1088/2041-8205/791/2/l19.

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15

Kumar Jha, Vyomkesh, Stefan Grushko, Jakub Mlotek, et al. "A DEPTH IMAGE QUALITY BENCHMARK OF THREE POPULAR LOW-COST DEPTH CAMERAS." MM Science Journal 2020, no. 5 (2020): 4194–200. http://dx.doi.org/10.17973/mmsj.2020_12_2020057.

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16

Cooper, E. A., and A. M. Norcia. "Perceived depth in natural images reflects encoding of low-level depth statistics." Journal of Vision 14, no. 10 (2014): 1112. http://dx.doi.org/10.1167/14.10.1112.

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17

Rosca, Dorin Mircea, Mircea Anton Vasiloni, and Milena Folea. "Dynamic study of milling low depth channels." MATEC Web of Conferences 94 (2017): 02013. http://dx.doi.org/10.1051/matecconf/20179402013.

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18

van Schalkwyk, J. J. D. "Low bitrate video coding with depth compensation." IEE Proceedings - Vision, Image, and Signal Processing 141, no. 3 (1994): 149. http://dx.doi.org/10.1049/ip-vis:19941056.

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19

Hoornstra, Stanley J. "Low‐frequency hydrophone and depth sensor assembly." Journal of the Acoustical Society of America 91, no. 5 (1992): 3090. http://dx.doi.org/10.1121/1.402866.

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20

Gupta, Ankit, Pritish Kamath, Neeraj Kayal, and Ramprasad Saptharishi. "Unexpected power of low-depth arithmetic circuits." Communications of the ACM 60, no. 6 (2017): 93–100. http://dx.doi.org/10.1145/3065470.

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21

Zhang, Qiuwen, Ping An, Yan Zhang, Liquan Shen, and Zhaoyang Zhang. "Low complexity multiview video plus depth coding." IEEE Transactions on Consumer Electronics 57, no. 4 (2011): 1857–65. http://dx.doi.org/10.1109/tce.2011.6131164.

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22

Giangrandi, S., K. Arstila, B. Brijs, T. Sajavaara, A. Vantomme, and W. Vandervorst. "Depth resolution optimization for low-energy ERDA." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 261, no. 1-2 (2007): 512–15. http://dx.doi.org/10.1016/j.nimb.2007.03.093.

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23

Antunes, Luís, Lance Fortnow, Alexandre Pinto, and André Souto. "Low-Depth Witnesses are Easy to Find." computational complexity 21, no. 3 (2011): 479–97. http://dx.doi.org/10.1007/s00037-011-0025-1.

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24

Iblisdir, S., M. Cirio, O. Boada, and G. K. Brennen. "Low depth quantum circuits for Ising models." Annals of Physics 340, no. 1 (2014): 205–51. http://dx.doi.org/10.1016/j.aop.2013.11.001.

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25

Boyar, Joan, Magnus Gausdal Find, and René Peralta. "Small low-depth circuits for cryptographic applications." Cryptography and Communications 11, no. 1 (2018): 109–27. http://dx.doi.org/10.1007/s12095-018-0296-3.

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26

Sato, Shingo, Yusuke Takahashi, Tatsuya Ohmi, and Manabu Iguchi. "OS8-2-3 Penetration depth of low-density particles under various agitation conditions." Abstracts of ATEM : International Conference on Advanced Technology in Experimental Mechanics : Asian Conference on Experimental Mechanics 2007.6 (2007): _OS8–2–3–1—_OS8–2–3–4. http://dx.doi.org/10.1299/jsmeatem.2007.6._os8-2-3-1.

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27

Pande, Paritosh, Ryan L. Shelton, Guillermo L. Monroy, Ryan M. Nolan, and Stephen A. Boppart. "Low-cost hand-held probe for depth-resolved low-coherence interferometry." Biomedical Optics Express 8, no. 1 (2016): 338. http://dx.doi.org/10.1364/boe.8.000338.

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28

Yang, Wei-Jong, Hsuan Tsai, and Din-Yuen Chan. "High-Precision Depth Estimation Networks Using Low-Resolution Depth and RGB Image Sensors for Low-Cost Mixed Reality Glasses." Applied Sciences 15, no. 11 (2025): 6169. https://doi.org/10.3390/app15116169.

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In recent years, with the booming development of the three-dimensional and mixed reality (MR) industries, depth estimation tools have become increasingly important to support many visual problems. Intrinsically, the restriction of computational resources hardly lets complex depth completion methods be implemented on MR glasses. In this paper, we propose a competitive high-precision depth estimation network, which integrates a dual-path autoencoder and adaptive bin depth estimator together. The proposed network with different types of models can aptly fuse a pair of an RGB image and low-resolut
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29

Lee, Hyung-Ik, Dae Won Moon, Suhk Kun Oh, Hee Jae Kang, Hyun Kyong Kim, and Jeong Yun Won. "Sub-nm depth resolution in sputter depth profiling by low energy ion bombardment." e-Journal of Surface Science and Nanotechnology 2 (2004): 24–27. http://dx.doi.org/10.1380/ejssnt.2004.24.

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30

Yuan, Liang, Xin Jin, Yangguang Li, and Chun Yuan. "Depth map super-resolution via low-resolution depth guided joint trilateral up-sampling." Journal of Visual Communication and Image Representation 46 (July 2017): 280–91. http://dx.doi.org/10.1016/j.jvcir.2017.04.012.

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31

Moskovchenko, Alexey, Michal Švantner, Vladimir Vavilov, and Arsenii Chulkov. "Characterizing Depth of Defects with Low Size/Depth Aspect Ratio and Low Thermal Reflection by Using Pulsed IR Thermography." Materials 14, no. 8 (2021): 1886. http://dx.doi.org/10.3390/ma14081886.

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This study is focused on the quantitative estimation of defect depth by applying pulsed thermal nondestructive testing. The majority of known defect characterization techniques are based on 1D heat conduction solutions, thus being inappropriate for evaluating defects with low aspect ratios. A novel method for estimating defect depth is proposed by taking into account the phenomenon of 3D heat diffusion, finite lateral size of defects and the thermal reflection coefficient at the boundary between a host material and defects. The method is based on the combination of a known analytical model and
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32

Amundsen, Lasse, Harald Westerdahl, Åsmund Sjøen Pedersen, Mark Thompson, and Martin Landrø. "On firing an air gun very shallow." GEOPHYSICS 82, no. 3 (2017): A25—A29. http://dx.doi.org/10.1190/geo2016-0617.1.

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Recently, two of the authors asked the question “Is it optimal to tow air guns shallow to enhance low frequencies?” By combining recordings of signatures from sources deployed at depths from 3 to 20 m, they concluded that for an air gun array with sources at several depths, more low frequencies would be introduced into the source signature. We have found the significant and notable additional experimental result that firing a [Formula: see text] air gun at approximately 1.3 m in depth gives a broadband signature with low and high frequencies and with notable downgoing amplitude strength. The e
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33

Chambers, P. A., and E. E. Prepas. "Underwater Spectral Attenuation and Its Effect on the Maximum Depth of Angiosperm Colonization." Canadian Journal of Fisheries and Aquatic Sciences 45, no. 6 (1988): 1010–17. http://dx.doi.org/10.1139/f88-124.

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Data collected from 23 Alberta lakes and literature values for 45 other north temperate lakes were used to develop regression models to evaluate the effect of underwater light quality on the maximum depth of angiosperm colonization. Unlike most north temperate lakes, eutrophic Alberta lakes have unusually low levels of dissolved colour and, as a result, transmit blue light particularly well. Comparison of regression equations relating the maximum depth of angiosperm colonization (zc) and Secchi depth (D) for lakes with low colour [Formula: see text] and with high colour [Formula: see text] sho
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34

Chan, Din Yuen, Chi Wen Hsieh, and Tai Lang Jong. "A Low Cost Scheme of Scene Depth Map for Stereoscopic Video Streaming Using Single Kinect Sensing." Advanced Materials Research 1006-1007 (August 2014): 779–82. http://dx.doi.org/10.4028/www.scientific.net/amr.1006-1007.779.

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This study mainly described a low-cost stereoscopic sensing scheme using a single Kinect device of Microsoft. Basically, the integration of infrared (IR) depth map with visible light image of Kinect could support the virtual 3-dimensional view. However, the precision and unstable displays are problems practically that means the unstable variation of 3D displays and distorted projections of Kinect IR projector make the depth maps non-reliable so that the virtual view usually non-acceptable with defects in many cases especially in low lamination and corners of the sensing objects. The study prop
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35

Landrø, Martin, and Lasse Amundsen. "Is it optimal to tow air guns shallow to enhance low frequencies?" GEOPHYSICS 79, no. 3 (2014): A13—A18. http://dx.doi.org/10.1190/geo2013-0348.1.

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In marine seismic acquisition, it used to be commonly accepted that it is optimal to tow the source deep to enhance the low-frequency content in the seismic data. However, Mayne and Quay found in 1971 that the low-frequency response of air guns actually improves as the source depth decreases. We evaluated a simple ad hoc theory that demonstrates that two effects are counteracting each other: The free-surface effect favors deep-towed sources, whereas the bubble time period (increasing with decreasing source depth) favors shallower tow depths. From a fjord test, we found that combining several s
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36

Li, Wenlong, Zhifeng Zhou, Mengchen Ji, et al. "Biomechanical characteristics of lower limbs in Tai Chi Novices with different squatting depths: A pilot study." Molecular & Cellular Biomechanics 21 (August 13, 2024): 208. http://dx.doi.org/10.62617/mcb.v21.208.

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This study aimed to analyze the biomechanical characteristics of the lower limbs in Tai Chi novices performing the Part the Wild Horse’s Mane (PWHM) movement at varying squatting depths to identify potential risk factors for joint pain and injuries. Eight Tai Chi novices, with an average age of 20.75 years participated in this study. Joint angles, joint moments, ground reaction forces (GRF), center of gravity (COG), and muscle force were measured during PWHM at various squat depths. Data were analyzed using the one-way ANOVA in Open-Source Statistical Parameter Mapping in MATLAB, with correcte
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37

Jang, Kyungbae, Yujin Oh, Hyunji Kim, and Hwajeong Seo. "Quantum Implementation of AIM: Aiming for Low-Depth." Applied Sciences 14, no. 7 (2024): 2824. http://dx.doi.org/10.3390/app14072824.

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Security vulnerabilities in the symmetric-key primitives of a cipher can undermine the overall security claims of the cipher. With the rapid advancement of quantum computing in recent years, there is an increasing effort to evaluate the security of symmetric-key cryptography against potential quantum attacks. This paper focuses on analyzing the quantum attack resistance of AIM, a symmetric-key primitive used in the AIMer digital signature scheme. We present the first quantum circuit implementation of AIM and estimate its complexity (such as qubit count, gate count, and circuit depth) with resp
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38

Wang, Tzu-Kai, Yeh-Wei Yu, Tsung-Hsun Yang, et al. "Depth Image Completion through Iterative Low-Pass Filtering." Applied Sciences 14, no. 2 (2024): 696. http://dx.doi.org/10.3390/app14020696.

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This study introduces a spatial-modulated approach designed to recover missing data in in-depth images. Typically, commercial-grade RGB-D cameras utilize structured light or time-of-flight techniques for capturing scene depth. However, these conventional methods encounter difficulties in acquiring depth data from glossy, transparent, or low-reflective surfaces. Additionally, they are prone to interference from broad-spectrum light sources, resulting in defective areas in the captured data. The generation of dense data is further compromised by the influence of noise. In response to these chall
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39

Kim, Jinhwan, Kyung Taek Lim, Kilyoung Ko, Eunbie Ko, and Gyuseong Cho. "Radioisotope Identification and Nonintrusive Depth Estimation of Localized Low-Level Radioactive Contaminants Using Bayesian Inference." Sensors 20, no. 1 (2019): 95. http://dx.doi.org/10.3390/s20010095.

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Obtaining the in-depth information of radioactive contaminants is crucial for determining the most cost-effective decommissioning strategy. The main limitations of a burial depth analysis lie in the assumptions that foreknowledge of buried radioisotopes present at the site is always available and that only a single radioisotope is present. We present an advanced depth estimation method using Bayesian inference, which does not rely on those assumptions. Thus, we identified low-level radioactive contaminants buried in a substance and then estimated their depths and activities. To evaluate the pe
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40

Schoener, Gerhard. "Time-Lapse Photography: Low-Cost, Low-Tech Alternative for Monitoring Flow Depth." Journal of Hydrologic Engineering 23, no. 2 (2018): 06017007. http://dx.doi.org/10.1061/(asce)he.1943-5584.0001616.

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41

Xue, Hongyang, Shengming Zhang, and Deng Cai. "Depth Image Inpainting: Improving Low Rank Matrix Completion With Low Gradient Regularization." IEEE Transactions on Image Processing 26, no. 9 (2017): 4311–20. http://dx.doi.org/10.1109/tip.2017.2718183.

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42

Schneider, Cynthia E., and James P. Kennett. "Segregation and speciation in the Neogene planktonic foraminiferal clade Globoconella." Paleobiology 25, no. 3 (1999): 383–95. http://dx.doi.org/10.1017/s0094837300021345.

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The origin of the Neogene planktonic foraminifer Globorotalia (Globoconella) pliozea in the subtropical southwest Pacific has been attributed to its isolation resulting from intensification of the Subtropical Divergence (Tasman Front). Oxygen isotopic analyses suggest that, although the Subtropical Divergence may have played a role, the evolution of Gr. (G.) pliozea was facilitated by depth segregation of Gr. (G.) conomiozea morphotypes (low and high conical) during an interval of near-surface warming and increasing thermal gradient. Oxygen isotopic analyses suggest that low conical morphotype
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43

Field, Chris, Said Al Abri, Ahmed Obeidi, and Tahira Qureshi. "Imaging and depth conversion of low relief fields." First Break 39, no. 3 (2021): 43–50. http://dx.doi.org/10.3997/1365-2397.fb2021018.

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44

Hongliang Li and K. N. Ngan. "Unsupervized Video Segmentation With Low Depth of Field." IEEE Transactions on Circuits and Systems for Video Technology 17, no. 12 (2007): 1742–51. http://dx.doi.org/10.1109/tcsvt.2007.903326.

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45

Clark, A. M., and P. Wallisch. "In-Depth Investigation: How Low Can You Go?" Journal of Neuroscience 27, no. 6 (2007): 1235–36. http://dx.doi.org/10.1523/jneurosci.4907-06.2007.

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46

Kominami, Hiroko, Toru Aoki, Yoichiro Nakanishi, and Yoshinori Hatanaka. "Penetration depth of low-energy electrons into ZnS." Journal of Luminescence 87-89 (May 2000): 1152–54. http://dx.doi.org/10.1016/s0022-2313(99)00576-1.

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47

赵, 蓓. "Modeling of Penetration Depth of Low Speed Projectile." Open Journal of Nature Science 05, no. 02 (2017): 137–43. http://dx.doi.org/10.12677/ojns.2017.52019.

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48

Leyronas, Xavier, and Roland Combescot. "Low temperature penetration depth of strongly coupled superconductors." Czechoslovak Journal of Physics 46, S2 (1996): 989–90. http://dx.doi.org/10.1007/bf02583802.

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49

Gordon, Neil D., and Stephen A. Klein. "Low-cloud optical depth feedback in climate models." Journal of Geophysical Research: Atmospheres 119, no. 10 (2014): 6052–65. http://dx.doi.org/10.1002/2013jd021052.

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50

Ni, Hongkang, Haoya Li, and Lexing Ying. "On low-depth algorithms for quantum phase estimation." Quantum 7 (November 6, 2023): 1165. http://dx.doi.org/10.22331/q-2023-11-06-1165.

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Quantum phase estimation is one of the critical building blocks of quantum computing. For early fault-tolerant quantum devices, it is desirable for a quantum phase estimation algorithm to (1) use a minimal number of ancilla qubits, (2) allow for inexact initial states with a significant mismatch, (3) achieve the Heisenberg limit for the total resource used, and (4) have a diminishing prefactor for the maximum circuit length when the overlap between the initial state and the target state approaches one. In this paper, we prove that an existing algorithm from quantum metrology can achieve the fi
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