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1

Bray, William, and Mark Pinsky. "Growth properties of the Fourier transform." Filomat 26, no. 4 (2012): 755–60. http://dx.doi.org/10.2298/fil1204755b.

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In a recent paper by the authors, growth properties of the Fourier transform on Euclidean space and the Helgason Fourier transform on rank one symmetric spaces of non-compact type were proved and expressed in terms of a modulus of continuity based on spherical means. The methodology employed first proved the result on Euclidean space and then, via a comparison estimate for spherical functions on rank one symmetric spaces to those on Euclidean space, we obtained the results on symmetric spaces. In this note, an analytically simple, yet overlooked refinement of our estimates for spherical Bessel
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2

Benz, Klaus-W. "Crystal growth in space." Advanced Materials 4, no. 9 (1992): 538–39. http://dx.doi.org/10.1002/adma.19920040902.

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3

Ness, Erik. "Mapping Urban Growth from Space." Frontiers in Ecology and the Environment 2, no. 1 (2004): 7. http://dx.doi.org/10.2307/3868281.

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4

DELUCAS, L., and C. BUGG. "Protein Crystal Growth in Space." Advances in Space Biology and Medicine 1 (1991): 249–78. http://dx.doi.org/10.1016/s1569-2574(08)60126-4.

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5

Gunsilius, Eberhard, Andreas L. Petzer, and Guenther Gastl. "Space flight and growth factors." Lancet 353, no. 9163 (1999): 1529. http://dx.doi.org/10.1016/s0140-6736(05)75142-4.

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6

Pritchard, E. Brian. "Space station design for growth." Acta Astronautica 17, no. 1 (1988): 91–97. http://dx.doi.org/10.1016/0094-5765(88)90132-4.

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7

Morgenthaler, G. W., D. Kompala, G. J. Smith, and T. McAdams. "Space habitat contaminant growth models." Acta Astronautica 27 (July 1992): 231–38. http://dx.doi.org/10.1016/0094-5765(92)90202-t.

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8

McNeil, Alan. "Resilient Growth within Space Technology." New Electronics 53, no. 3 (2020): 33–34. http://dx.doi.org/10.12968/s0047-9624(22)61117-9.

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9

Highfill, Tina, and Matthew Weinzierl. "Real growth in space manufacturing output substantially exceeds growth in the overall space economy." Acta Astronautica 219 (June 2024): 236–42. http://dx.doi.org/10.1016/j.actaastro.2024.03.020.

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10

Lee, Jinseong, Jason Job, Clinton Sample, and Emily Matula. "Design of an Artificial Intelligence-Based Commercial Photobioreactor for Optimal Algae Growth in Space Life Support." New Space 9, no. 4 (2021): 232–43. http://dx.doi.org/10.1089/space.2021.0018.

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11

Lee, Jinseong, Jason Job, Clinton Sample, and Emily Matula. "Design of an Artificial Intelligence-Based Commercial Photobioreactor for Optimal Algae Growth in Space Life Support." New Space 9, no. 4 (2021): 232–43. http://dx.doi.org/10.1089/space.2021.0018.

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12

Wegner, Sven-Ake. "The Growth Bound for Strongly Continuous Semigroups on Fréchet Spaces." Proceedings of the Edinburgh Mathematical Society 59, no. 3 (2015): 801–10. http://dx.doi.org/10.1017/s0013091515000310.

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AbstractWe introduce the concepts of growth and spectral bound for strongly continuous semigroups acting on Fréchet spaces and show that the Banach space inequality s(A) ⩽ ω0(T) extends to the new setting. Via a concrete example of an even uniformly continuous semigroup, we illustrate that for Fréchet spaces effects with respect to these bounds may happen that cannot occur on a Banach space.
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13

Joseph, Simon, Musa Siddig, Hafiz Ahmed, Malik Hassan, and Budur Yagoob. "Positive Semigroups Using Resolvent Estimate Bounds on Sharp Growth Rates." Applied Science and Innovative Research 4, no. 2 (2020): p1. http://dx.doi.org/10.22158/asir.v4n2p1.

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In this paper, we study growth rates for strongly continuous semigroups. We fixate that a growth rate for the resolvent estimate on imaginary lines implies a corresponding growth rate for the semigroup if either the underlying space is a Hilbert space, or the semigroup is asymptotically analytic, or if the semigroupis positive and the underlying space is an -space or a space of continuous functions. Also proved variations of the main results on fractional domains; these are valid on more general Banach spaces by Jan Rozendaal and Mark Veraar. In the second part apply the main theorem to prove
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14

Lee, George. "Constructing the Oseledets decomposition with subspace growth estimates." Transactions of the American Mathematical Society, Series B 11, no. 11 (2024): 396–419. http://dx.doi.org/10.1090/btran/146.

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The semi-invertible version of Oseledets’ multiplicative ergodic theorem providing a decomposition of the underlying state space of a random linear dynamical system into fast and slow spaces is deduced for a strongly measurable cocycle on a separable Banach space. This work is a much shorter means of obtaining this general version of the theorem, using measurable growth estimates on subspaces for linear operators combined with a modified version of Kingman’s subadditive ergodic theorem.
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15

Amato, I. "Growth-Hormone Levels Plummet in Space." Science News 138, no. 9 (1990): 134. http://dx.doi.org/10.2307/3975013.

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16

Henderson, J. Vernon, Adam Storeygard, and David N. Weil. "Measuring Economic Growth from Outer Space." American Economic Review 102, no. 2 (2012): 994–1028. http://dx.doi.org/10.1257/aer.102.2.994.

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We develop a statistical framework to use satellite data on night lights to augment official income growth measures. For countries with poor national income accounts, the optimal estimate of growth is a composite with roughly equal weights on conventionally measured growth and growth predicted from lights. Our estimates differ from official data by up to three percentage points annually. Using lights, empirical analyses of growth need no longer use countries as the unit of analysis; we can measure growth for sub- and supranational regions. We show, for example, that coastal areas in sub-Sahara
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17

Galimberti, Jaqueson K. "Forecasting GDP Growth from Outer Space." Oxford Bulletin of Economics and Statistics 82, no. 4 (2020): 697–722. http://dx.doi.org/10.1111/obes.12361.

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18

Greb, Thomas. "Genetic space of radial plant growth." Nature Plants 5, no. 10 (2019): 1032. http://dx.doi.org/10.1038/s41477-019-0536-3.

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19

Mossi, Mariano Bosch, Patricio Aroca, Ismael J. FernáNDEZ, and Carlos Roberto Azzoni. "Growth Dynamics and Space in Brazil." International Regional Science Review 26, no. 3 (2003): 393–418. http://dx.doi.org/10.1177/0160017603255976.

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20

Piorkowska, E., and Andrzej Galeski. "Growth sites in space and time." Journal of Physical Chemistry 89, no. 22 (1985): 4700–4703. http://dx.doi.org/10.1021/j100268a011.

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21

Van Den Berg, L., and W. F. Schnepple. "Mercuric iodide crystal growth in space." Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 283, no. 2 (1989): 335–38. http://dx.doi.org/10.1016/0168-9002(89)91381-8.

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22

Audretsch, David B., and Michael Fritsch. "Growth Regimes over Time and Space." Regional Studies 36, no. 2 (2002): 113–24. http://dx.doi.org/10.1080/00343400220121909.

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23

Kinoshita, Kyoichi, and Tomoaki Yamada. "Pb1 − xSnxTe crystal growth in space." Journal of Crystal Growth 147, no. 1-2 (1995): 91–98. http://dx.doi.org/10.1016/0022-0248(94)00660-1.

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24

Domínguez, Salvador, and Daniel Girela. "Radial growth of the derivatives of analytic functions in Besov spaces." Concrete Operators 8, no. 1 (2020): 1–12. http://dx.doi.org/10.1515/conop-2020-0107.

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AbstractFor 1 < p < ∞, the Besov space Bp consists of those functions f which are analytic in the unit disc 𝔻 = {z ∈ 𝔺 : |z| < 1} and satisfy ∫𝔻(1 − |z|2)p−2|f ′(z)|p dA(z) < ∞. The space B2 reduces to the classical Dirichlet space 𝒟. It is known that if f ∈ 𝒟then |f ′(reiθ)| = o[(1 − r)−1/2], for almost every ∈ [0, 2π]. Hallenbeck and Samotij proved that this result is sharp in a very strong sense. We obtain substitutes of the above results valid for the spaces Bp (1 < p < ∞) an we give also an application of our them to questions concerning multipliers between Besov spaces.
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25

Fu, Rachel J. C. "Engines of Innovation: Private Space Companies and the Architecture of a New Cosmic Era." SPACE 1, no. 2 (2025): 36–55. https://doi.org/10.32473/space.1.2.139524.

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As the global space industry enters a new era of commercialization, private space companies have emerged as pivotal forces driving innovation, accessibility, and the future of space travel. This article explores the strategic visions, technological capabilities, historical launch milestones, and evolving business models of top two leading commercial space entities in 2025: SpaceX and Blue Origin. Each company is profiled with emphasis on leadership, mission design, propulsion and spacecraft systems, international collaborations, and contributions to the growth of space travel and orbital infra
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26

Greene, N. "Voxel space automata: modeling with stochastic growth processes in voxel space." ACM SIGGRAPH Computer Graphics 23, no. 3 (1989): 175–84. http://dx.doi.org/10.1145/74334.74351.

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27

Aljuaid, Munirah, and Flavia Colonna. "Composition Operators on Some Banach Spaces of Harmonic Mappings." Journal of Function Spaces 2020 (February 19, 2020): 1–11. http://dx.doi.org/10.1155/2020/9034387.

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We study the composition operators on Banach spaces of harmonic mappings that extend several well-known Banach spaces of analytic functions on the open unit disk in the complex plane, including the α-Bloch spaces, the growth spaces, the Zygmund space, the analytic Besov spaces, and the space BMOA.
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28

Fiorenza, Alberto, Jean Michel Rakotoson, and Carlo Sbordone. "Variable exponents and grand Lebesgue spaces: Some optimal results." Communications in Contemporary Mathematics 17, no. 06 (2015): 1550023. http://dx.doi.org/10.1142/s0219199715500236.

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Consider p : Ω → [1, +∞[, a measurable bounded function on a bounded set Ø with decreasing rearrangement p* : [0, |Ω|] → [1, +∞[. We construct a rearrangement invariant space with variable exponent p* denoted by [Formula: see text]. According to the growth of p*, we compare this space to the Lebesgue spaces or grand Lebesgue spaces. In particular, if p*(⋅) satisfies the log-Hölder continuity at zero, then it is contained in the grand Lebesgue space Lp*(0))(Ω). This inclusion fails to be true if we impose a slower growth as [Formula: see text] at zero. Some other results are discussed.
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29

Kawasumi, Ryota, and Eiichi Nakai. "Pointwise Multipliers on Weak Morrey Spaces." Analysis and Geometry in Metric Spaces 8, no. 1 (2020): 363–81. http://dx.doi.org/10.1515/agms-2020-0119.

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AbstractWe consider generalized weak Morrey spaces with variable growth condition on spaces of homogeneous type and characterize the pointwise multipliers from a generalized weak Morrey space to another one. The set of all pointwise multipliers from a weak Lebesgue space to another one is also a weak Lebesgue space. However, we point out that the weak Morrey spaces do not always have this property just as the Morrey spaces not always.
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30

Buckley, Stephen M., and Simon L. Kokkendorff. "The Spherical Boundary and Volume Growth." ISRN Geometry 2012 (March 26, 2012): 1–13. http://dx.doi.org/10.5402/2012/484312.

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We consider the spherical boundary, a conformal boundary using a special class of conformal distortions. We prove that certain bounds on volume growth of suitable metric measure spaces imply that the spherical boundary is “small” (in cardinality or dimension) and give examples to show that the reverse implications fail. We also show that the spherical boundary of an annular convex proper length space consists of a single point. This result applies to l2-products of length spaces, since we prove that a natural metric, generalizing such “norm-like” product metrics on a (possibly infinite) produc
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31

Cochran, W. G., H. H. Kuo, and A. Sengupta. "A New Class of White Noise Generalized Functions." Infinite Dimensional Analysis, Quantum Probability and Related Topics 01, no. 01 (1998): 43–67. http://dx.doi.org/10.1142/s0219025798000053.

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The S-transform is studied as a mapping from a space of tensors to a space of functions over a complex space. The range of this transform is characterized in terms of analyticity and growth. These results are applied to a broad class of generalized functions in white noise analysis. These correspond to completions of the Gaussian L2-space which preserve orthogonality of Hermite polynomials. The S-transform is defined for the new generalized functions, and the range of this S-transform is identified in terms of analyticity and growth. Examples of the new spaces of generalized functions are give
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32

Shashikant, Nishant Sharma. "Review of Most Used Urban Growth Models." International Journal of Advanced Research in Engineering and Technology (IJARET) 10, no. 3 (2019): 397–405. https://doi.org/10.5281/zenodo.8169002.

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Smart urban growth management is a planning and management approach that seeks to promote sustainable development and quality of life in urban areas. It involves a range of strategies and practices that aim to balance economic growth, social equity, and environmental sustainability, while ensuring that urban areas remain livable and resilient over the long term. Planning and zoning: Effective land use planning and zoning can help guide growth and development in ways that support community goals and values, such as preserving open space, promoting affordable housing, and encouraging mixed-use d
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33

Beyer, Robert, Jiaxiong Yao, and Yingyao Hu. "Measuring Quarterly Economic Growth from Outer Space." IMF Working Papers 2022, no. 109 (2022): 1. http://dx.doi.org/10.5089/9798400211553.001.

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34

Dickson, David. "Proposed Growth in U.K. Space Budget Rejected." Science 237, no. 4815 (1987): 597. http://dx.doi.org/10.1126/science.237.4815.597.a.

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35

Miraux, Loïs. "Environmental limits to the space sector's growth." Science of The Total Environment 806 (February 2022): 150862. http://dx.doi.org/10.1016/j.scitotenv.2021.150862.

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36

Kirillova, S. A., and O. G. Kantor. "Regional growth: the quality of economic space." Regional Research of Russia 1, no. 3 (2011): 199–209. http://dx.doi.org/10.1134/s207997051103004x.

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37

García, Oscar. "The state-space approach in growth modelling." Canadian Journal of Forest Research 24, no. 9 (1994): 1894–903. http://dx.doi.org/10.1139/x94-244.

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Systems theory can provide a useful conceptual framework for the development of forest growth models. Modelling approaches are examined and compared, based on the state-space description of dynamic systems. This viewpoint is used also to discuss the principles behind height-based site indices and possible extensions, and problems of statistical parameter estimation. Four main kinds of estimation methods for dynamic systems can be distinguished. A multidimensional generalization of the Richards model illustrates many of the ideas.
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38

Eckert, Paul. "High-tech innovation: Promoting space industry growth." Psychologist-Manager Journal 13, no. 2 (2010): 86–92. http://dx.doi.org/10.1080/10887151003761283.

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39

Peterson, I. "Campus Control of Crystal Growth in Space." Science News 149, no. 11 (1996): 165. http://dx.doi.org/10.2307/3979689.

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40

Wang, Q. A., and A. Le Méhauté. "Measuring information growth in fractal phase space." Chaos, Solitons & Fractals 21, no. 4 (2004): 893–97. http://dx.doi.org/10.1016/j.chaos.2003.12.035.

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41

Tuğ, Gül, Zehra Özdemir, İsmail Gök, and F. Nejat Ekmekci. "Accretive Darboux growth along a space curve." Applied Mathematics and Computation 316 (January 2018): 516–24. http://dx.doi.org/10.1016/j.amc.2017.08.038.

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42

Tuğ, Gül, Zehra Özdemi̇r, Selçuk Han Aydin, and Fai̇k Nejat Ekmekci̇. "Accretive growth kinematics in Minkowski 3-space." International Journal of Geometric Methods in Modern Physics 14, no. 05 (2017): 1750069. http://dx.doi.org/10.1142/s0219887817500694.

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In this study, a model of accretive growth for arbitrary surfaces in three-dimensional Minkowski space is formulated by evolving a curve. An analytical approach to surfaces is also given in terms of a few parameters which are effective in the accretive growth of surfaces. The proposed method is visualized on some test surfaces and displayed in terms of figures.
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43

D., D. "Proposed Growth in U.K. Space Budget Rejected." Science 237, no. 4815 (1987): 597. http://dx.doi.org/10.1126/science.237.4815.597.

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44

Bekkert, Viktor. "Schurian vector space categories of polynomial growth." Communications in Algebra 28, no. 11 (2000): 5007–20. http://dx.doi.org/10.1080/00927870008827140.

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45

Cowles, J., R. LeMay, and G. Jahns. "Seedling growth and development on space shuttle." Advances in Space Research 14, no. 11 (1994): 3–12. http://dx.doi.org/10.1016/0273-1177(94)90273-9.

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46

Spector, Sam. "Space travel and the limits to growth." Annals of Tourism Research 81 (March 2020): 102733. http://dx.doi.org/10.1016/j.annals.2019.05.010.

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47

Meyer, H. J., R. Lacmann, and H. Zimmermann. "Random space filling by nucleation and growth." Journal of Crystal Growth 135, no. 3-4 (1994): 571–86. http://dx.doi.org/10.1016/0022-0248(94)90150-3.

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48

Kabasakalian-McKay, Rachel. "The Growth of Desire in Intersubjective Space." Psychoanalytic Dialogues 34, no. 2 (2024): 217–25. http://dx.doi.org/10.1080/10481885.2024.2320943.

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49

Huang, Xian-Tao. "An almost rigidity theorem and its applications to noncompact RCD(0,N) spaces with linear volume growth." Communications in Contemporary Mathematics 22, no. 04 (2018): 1850076. http://dx.doi.org/10.1142/s0219199718500761.

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The main results of this paper consist of two parts. First, we obtain an almost rigidity theorem which roughly says that on an [Formula: see text] space, when a domain between two level sets of a distance function has almost maximal volume compared to that of a cylinder, then this portion is close to a cylinder as a metric space. Second, we apply this almost rigidity theorem to study noncompact [Formula: see text] spaces with linear volume growth. More precisely, we obtain the sublinear growth of diameter of geodesic spheres, and study the non-existence problem of nonconstant harmonic function
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50

Leonov, Vladislav, and Ekaterina Borisova. "China’s Space Exploration Strategy." Economic Strategies 25, no. 4 (2023): 20–29. http://dx.doi.org/10.33917/es-4.190.2023.20-29.

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In recent decades, China’s economy has shown unprecedented qualitative growth, and one of the factors behind this growth is an active development of its space program as the most technologically advanced industry. If this growth trend continues, then China will need new sources of raw materials, and the emergence of new technologies in various branches of science and technology, including astronautics itself, will require even more active space exploration, which represents a gigantic resource base. The present article analyzes the strategies and prospects of China’s astronautics as a space po
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