“She had studied the universe all her life, but had overlooked its clearest message: For small creatures such as we the vastness is bearable only through love.” ― Carl Sagan, "Contact"
Epsilon Step at a Time

Yen Chin Ong, "A Maximum Force Perspective on Black Hole Thermodynamics, Quantum Pressure, and NearExtremality", Eur. Phys. J. C 83 (2023) 1068, [arXiv:2303.10719 [grqc]].
Reviewer 1: "As a reviewer, I fully recommend the manuscript for publication.
Reasons:
1. The manuscript is well written and well researched. The text shows a thorough knowledge of the subject treated.
2. The manuscript is refreshingly speculative. Such papers are rare nowadays [...].
It is rare to read such text, and therefore I am strongly in favour of publication."

Yen Chin Ong, "A Critique on Some Aspects of GUP Effective Metric", Eur. Phys. J. C 83 (2023) 209, [arXiv:2303.10719 [grqc]].

Michael R. R. Good, Yen Chin Ong, "Electron as a Tiny Mirror: Radiation From a Worldline With Asymptotic Inertia", Physics 2023, 5(1), 131, [arXiv:2302.00266 [grqc]]. Selected as issue cover.

Yen Chin Ong, "An Effective Sign Switching Dark Energy: LotkaVolterra Model of Two Interacting Fluids", Universe 2023, 9(10), 437 (invited contribution to the Collection "Cosmology"), [2212.04429 [grqc]].

Yen Chin Ong, "On Black Hole Thermodynamics, Singularity, and Gravitational Entropy", Gen Relativ Gravit 54 (2022) 1329, [arXiv:2210.16856 [grqc]]. (An invited contribution to the topical volume for the conference "Singularity theorems, causality, and all that: A tribute to Roger Penrose" (SCRI21), June 1418, 2021).

Yifan Chen, Jiayi Ni, Yen Chin Ong, "LotkaVolterra Models for Extraterrestrial SelfReplicating Probes", Eur. Phys. J. Plus 137 (2022) 1109, [arXiv:2209.14244 [math.DS]].

Yen Chin Ong, "Holographic Consistency and the Sign of the GaussBonnet Parameter", Nucl. Phys. B 984 (2022) 115939, [arXiv:2208.13360 [hepth]].

Sofia Di Gennaro, Hao Xu, Yen Chin Ong, "How Barrow Entropy Modifies Gravity", Eur. Phys. J. C 82 (2022) 11, [arXiv:2207.09271 [grqc]].

Hao Xu, Si Yu Chen, Yen Chin Ong, "Decoherence and Landauer's Principle in QubitCavity QuantumFieldTheory Interaction", Eur. Phys. J. C 83 (2023) 11, [arXiv:2207.06702 [quantph]].

Sofia Di Gennaro, Yen Chin Ong, "Sign Switching Dark Energy from a Running Barrow Entropy", Universe 2022, 8(10), 541 (invited contribution to the collection "Modified Theories of Gravity and Cosmological Applications"), [arXiv:2205.09311 [grqc]].

Daniele Gregoris, Yen Chin Ong, "On the Chadrasekhar Limit in Generalized Uncertainty Principles", Annals of Physics 452 (2023) 169287, [arXiv:2202.13904 [grqc]].

Daniele Gregoris, Yen Chin Ong, "Understanding Gravitational Entropy of Black Holes: A New Proposal via Curvature Invariants", Phys. Rev. D 105 (2022) 10, [arXiv:2109.11968 [grqc]].

Hao Xu, Yen Chin Ong, ManHong Yung, "Landauer's Principle in QubitCavity Quantum Field Theory Interaction in Vacuum and Thermal States", Phys. Rev. A 105 (2021) 012430, [arXiv:2109.08391 [quantph]].

Sofia Di Gennaro, Michael R. R. Good, Yen Chin Ong, "The Hookean Law of Black Holes and Fragmentation: Insights from Maximum Force Conjecture and Ruppeiner Geometry", Phys. Rev. Research 4 (2022) 023031, [arXiv:2108.13435v1 [grqc]].

Mariam BouhmadiLópez, CheYu Chen, Xiao Yan Chew, Yen Chin Ong, Donghan Yeom, "Traversable Wormhole in Einstein 3Form Theory With SelfInteracting Potential", JCAP 10 (2021) 059, [arXiv:2108.07302 [grqc]].

Yuanyuan Duan, Fangxun Liu, Yu Wang, Yen Chin Ong, "On the CounterRotation of Closed Timelike Curves", Universe 2022, 8(1), 28 (an invited contribution to the special issue on "The Physics of Time Travel"), [arXiv:2107.08844 [grqc]].

Ru Ling, Hao Xu, Yen Chin Ong, "How Antide Sitter Black Holes Reach Thermal Equilibrium", Phys. Lett. B 826 (2022) 136896, [arXiv:2107.01556 [grqc]].

Daniele Gregoris, Yen Chin Ong, Bin Wang, "A Critical Assessment of Black Hole Solutions With a Linear Term in Their Redshift Function", Eur. Phys. J. C. 81 (2021) 684, [arXiv:2106.05205 [grqc]].

Sofia Di Gennaro, Yen Chin Ong, "Feasibility of Primordial Black Hole Remnants as Dark Matter in View of Hawking Radiation Recoil", JCAP 07 (2021) 041, [arXiv:2104.08919 [grqc]].

Sofia Di Gennaro, Yen Chin Ong, "How Not to Extract Information From Black Holes: Cosmic Censorship as a Guiding Principle", Phys. Lett B 829 (2022) 137112, [arXiv:2103.05516 [hepth]].

Sousuke Noda, Yen Chin Ong, "Null Hypersurface Caustics, Closed Null Curves, and SuperEntropy", Phys. Rev. D 103 (2021) 024053, [arXiv:2009.13448 [grqc]].

MengShi Hou, Hao Xu, Yen Chin Ong, "Hawking Evaporation of Black Holes in Massive Gravity", Eur. Phys. J. C. 80 (2020) 1090, [arXiv:2008.10049 [hepth]].

Brett McInnes, Yen Chin Ong, "Event Horizon Wrinklification", Class. Quantum Grav. 38 (2021) 034002, [arXiv:2006.09385 [grqc]].

Mariam BouhmadiLópez, CheYu Chen, Xiao Yan Chew, Yen Chin Ong, Donghan Yeom, "Regular Black Hole Interior Spacetime Supported by ThreeForm Field", Eur. Phys. J. C. 81 (2021) 278, [arXiv:2005.13260 [grqc]].

Yen Chin Ong, "Schwinger Pair Production and the Extended Uncertainty Principle: Can Heuristic Derivations Be Trusted?", Eur. Phys. J. C. 80 (2020) 777, [arXiv:2005.12075 [grqc]].

Yen Chin Ong, "Spacetime Singularities and Cosmic Censorship Conjecture: A Review with Some Thoughts", Int. J. Mod. Phys. A 35 (2020) 2030007, [arXiv:2005.07032 [grqc]].

Hao Xu, Yen Chin Ong, "Black Hole Evaporation in HořavaLifshitz Gravity", Eur. Phys. J. C. 80 (2020) 679 , [arXiv:2005.02086 [grqc]].

Xiao Yan Chew, Yen Chin Ong, "The Interior Volume of KerrAdS Black Holes", Phys. Rev. D 102 (2020) 064055, [arXiv:2005.01312 [grqc]].

Daniele Gregoris, Yen Chin Ong, Bin Wang, "Thermodynamics of Shearing Massless Scalar Field Spacetimes is Inconsistent With the Weyl Curvature Hypothesis", Phys. Rev. D 102 (2020) 023539, [arXiv:2004.10222 [grqc]].

Michael R.R. Good, Yen Chin Ong, "Particle Spectrum of the ReissnerNordström Black Hole", Eur. Phys. J. C 80 (2020) 1169, [arXiv:2004.03916 [grqc]].

Yen Chin Ong, Michael R. R. Good, "The Quantum Atmosphere of ReissnerNordström Black Holes", Phys. Rev. Research 2 (2020) 033322, [arXiv:2003.10429 [grqc]].

Hao Xu, Yen Chin Ong, "Cosmic Censorship and the Evolution of dDimensional Charged Evaporating Black Holes", Phys. Rev. D 101 (2020) 064015, [arXiv:1911.11990 [grqc]].

Daniele Gregoris, Yen Chin Ong, Bin Wang, "The Horizon of the McVittie Black Hole: On the Role of the Cosmic Fluid Modeling", Eur. Phys. J. C. 80 (2020) 159, [arXiv:1911.01809 [grqc]].

Yen Chin Ong, "The Attractor of Evaporating ReissnerNordström Black Holes", Eur. Phys. J. Plus 136 (2021) 61,[arXiv:1909.09981 [grqc]].

[Preprint] Yen Chin Ong, "The Charge of Electron, Weak Gravity Conjecture and Black Hole Evolution ", [arXiv:1909.09977 [grqc]].

Yen Chin Ong, Yuan Yao, "Charged Particle Production Rate from Cosmic Censorship in Dilaton Black Hole Spacetimes", JHEP 10 (2019) 129, [arXiv:1907.07490 [grqc]].

ShiQian Hu, Yen Chin Ong, Don N. Page, "No Violation of the Second Law in Extended Black Hole Thermodynamics", Phys. Rev. D 100 (2019) 104022, [arXiv:1906.05870 [grqc]].

Daniele Gregoris, Yen Chin Ong, Bin Wang, "Holographic Principle and the Second Law in Stephani Cosmology Revisited", Eur. Phys. J. Plus 135 (2020) 246, [arXiv:1906.02879 [grqc]].

Daniele Gregoris, Yen Chin Ong, Bin Wang, "Curvature Invariants and Lower Dimensional Black Hole Horizons", Eur. Phys. J. C 79 (2019) 925, [arXiv:1901.05565 [grqc]].

ZiYu Tang, Yen Chin Ong, Bin Wang, Eleftherios Papantonopoulos, "General Black Hole Solutions in (2+1)dimensions with a Scalar Field NonMinimally Coupled to Gravity", Phys. Rev. D 100 (2019) 100, [arXiv:1901.07310 [grqc]].

Yuan Yao, MengShi Hou, Yen Chin Ong, "A Complementary Third Law for Black Hole Thermodynamics", Eur. Phys. J. C 79 (2019) 513, [arXiv:1812.03136 [grqc]].

ShiQian Hu, XiaoMei Kuang, Yen Chin Ong, "A Note on Smarr Relation and Coupling Constants", Gen. Relativ. Gravit. 51 (2019) 55, [arXiv:1810.06073 [grqc]].

Yen Chin Ong, Yuan Yao, "Generalized Uncertainty Principle and White Dwarfs Redux: How Cosmological Constant Protects Chandrasekhar Limit", Phys. Rev. D 98 (2018) 12018, [arXiv:1809.06348 [grqc]].

Yen Chin Ong, "GUPCorrected Black Hole Thermodynamics and the Maximum Force Conjecture", Phys. Lett. B 785 (2018) 217, [arXiv:1809.00442 [grqc]].

Behzad Eslam Panah, Seyed Hossein Hendi, Yen Chin Ong, "Black Hole Remnant in Massive Gravity", Physics of the Dark Universe 27 (2020) 100452, [arXiv:1808.07829 [grqc]].

Yen Chin Ong, "An Effective Black Hole Remnant via Infinite Evaporation Time Due to Generalized Uncertainty Principle", JHEP 10 (2018) 195, [arXiv:1806.03691 [grqc]].

Yen Chin Ong, "Generalized Uncertainty Principle, Black Holes, and White Dwarfs: A Tale of Two Infinities", JCAP 09 (2018) 015, [arXiv:1804.05176 [grqc]].

Michael R.R. Good, Yen Chin Ong, Aizhan Myrzakul, Khalykbek Yelshibekov, "Information Preservation for Null Shell Collapse: A Moving Mirror Model", Gen. Relativ. Gravit. 51 (2019) 92, ("Giant Tortoise Coordinate"), [arXiv:1801.08020 [grqc]].

Yen Chin Ong, S. Sedigheh Hashemi, Rui An, Bin Wang, "Stephani Cosmology: Entropically Viable But Observationally Challenged", Eur. Phys. J. C 78 (2018) 405, [arXiv:1712.02297 [grqc]].

Yen Chin Ong, James M. Nester, "Counting Components in the Lagrange Multiplier Formulation of Teleparallel Theories", Eur. Phys. J. C 78 (2018) 568, [arXiv:1709.00068 [grqc]].

ZiYu Tang, Yen Chin Ong, Bin Wang, "Lux in obscuro II: Photon Orbits of Extremal AdS Black Holes Revisited", Class. Quantum Grav. 34 (2017) 245006, [arXiv:1705.09633 [grqc]].

Mahdi Kord Zangeneh, Yen Chin Ong, Bin Wang, "Entanglement Entropy and Complexity for OneDimensional Holographic Superconductors", Phys. Lett. B 771 (2017) 235, [arXiv:1704.00557 [hepth]].
Reviewer: "[...] The results presented in this paper are new and of interest for the research field. The paper is written concisely, yet in a clear and transparent way: The reader is given all information needed to understand what the authors do, why they do it, and how they arrive at their conclusions. [...]"

Yen Chin Ong, Donghan Yeom, "Instanton Tunneling for De Sitter Space with Real Projective Spatial Sections", JCAP 04 (2017) 040, [arXiv:1612.07756 [grqc]].

Michael R.R. Good, Khalykbek Yelshibekov, Yen Chin Ong, "On Horizonless Temperature with an Accelerating Mirror", JHEP 03 (2017) 013, [arXiv:1611.00809 [grqc]].

Brett McInnes, Yen Chin Ong, "On The Existence of a Holographic Description of the LHC QuarkGluon Plasmas",
Nucl. Phys. B 917 (2017) 86, [arXiv:1611.00237 [hepth]].
Reviewer: "[...] it is difficult but worthwhile to try to discuss general constraints from string theory in realworld experiments. Even if not fully rigorous, the discussion of the authors is detailed, honest and quite convincing. [...]"

Yen Chin Ong, "Twisted Black Hole is TaubNUT", JCAP 01 (2017) 001, [arXiv:1610.05757 [grqc]].

Fech Scen Khoo, Yen Chin Ong, "Lux in obscuro: Photon Orbits of Extremal Black Holes Revisited",
Class. Quantum Grav. 33 (2016) 235002, [arXiv:1605.05774 [grqc]]. (Corrigendum: Class. Quantum Grav. 34 (2017) 219501).

Pisin Chen, Yen Chin Ong, Don N. Page, Misao Sasaki, Donghan Yeom, "Naked Black Hole Firewalls",
Phys. Rev. Lett. 116 (2016) 161304, [arXiv:1511.05695 [hepth]].

Yen Chin Ong, "Hawking Evaporation Time Scale of Topological Black Holes in Antide Sitter Spacetime",
Nucl. Phys. B 903 (2016) 387 [arXiv:1507.07845 [grqc]].

Pisin Chen, Yen Chin Ong, Donghan Yeom, "Black Hole Remnants and the Information Loss Paradox",
Phys. Reps. (2020 Impact Factor: 25.6) 603,(2015) 1, [arXiv:1412.8366 [grqc]].

Brett McInnes, Yen Chin Ong, "A Note on Physical Mass and the Thermodynamics of AdSKerr Black Holes",
JCAP 11 (2015) 004, [arXiv:1506.01248 [grqc]].
Reviewer: "[...] The paper has a definite value given the confusion which, as the authors correctly point out, exist in the literature. Furthermore the paper is well written. [...]"

Michael R.R. Good, Yen Chin Ong, "Signatures of Energy Flux in Particle Production: A Black Hole Birth Cry and Death Gasp", JHEP 07 (2015) 145, [arXiv:1506.08072 [grqc]].

Brett McInnes, Yen Chin Ong, "When Is Holography Consistent?", Nucl. Phys. B 898 (2015) 197,
[arXiv:1504.07344 [hepth]].
Reviewer: "[...] the paper goes beyond the check of the isoperimetric inequality. The authors take the rather interesting (and bold) point of view that the general relation [...] should be viewed as a fundamental condition (a "law of physics" as they put it) in any consistent theory of gravity, and not only in the cases where proofs (or strong independent argument) can be given [...] This means that, in setups where the condition may be violated, the actual physical systems realized in nature should satisfy constraints on the parameters so that the violation actually never occurs. This point of view yields rather interesting constraints, as explained in the paper, which, remarkably, seem to be always satisfied. [...]"

Yen Chin Ong, "The Persistence of the Large Volumes in Black Holes", Gen. Relativ. Gravit. 47 (2015) 88, [arXiv:1503.08245 [grqc]].
Reviewer #2: "This paper follows up a curious observation by Christodolou and Rovelli, and extends it to the case of evaporating black holes — which are treated with a (rough) Vaidya model. The result is a little surprising. Altogether the paper is well written, has an interesting commented list of references, and makes a nice conceptual point."

Yen Chin Ong, "Never Judge a Black Hole by Its Area", JCAP 04 (2015) 003, [arXiv:1503.01092 [grqc]].

Pisin Chen, Keisuke Izumi, James M. Nester, Yen Chin Ong, "Remnant Symmetry, Propagation and Evolution in f(T) Gravity", Phys. Rev. D 91 (2015) 064003, [arXiv:1412.8383 [grqc]].

Michael R.R. Good, Yen Chin Ong, "Are Black Holes Springlike?", Phys. Rev. D 91 (2015) 044031,
[arXiv:1412.5432 [grqc]].
Reviewer: "This is an interesting paper that recasts black hole dynamics for rotating black holes into a form that allows various conjectures (like the maximum force/tension conjecture for GR) to be considered in a new situation. The conjecture is found to hold good. The paper extends the thermodynamic and mechanical analogies for black holes by introducing the spring constant term for the black hole in the surface gravity and area laws. This will probably lead to further extensions in other situations. [...]"

Stanley Deser, Keisuke Izumi, Yen Chin Ong, Andrew Waldron, "Problems of Massive Gravities", Invited contribution for special issue on New Trends in Theory of Gravity, Mod. Phys. Lett. A 30 (2015) 1540006, [arXiv:1410.2289 [hepth]].

Yen Chin Ong, Brett McInnes, Pisin Chen, "Cold Black Holes in the HarlowHayden Approach to Firewall",
Nucl. Phys. B 891 (2015) 627, [arXiv:1403.4886 [hepth]].

Pisin Chen, Yen Chin Ong, Donghan Yeom, "Generalized Uncertainty Principle: Implications for Black Hole Complementarity", JHEP 12 (2014) 021, [arXiv:1408.3763 [hepth]].

Yen Chin Ong, Pisin Chen, "Charge Loss (or the Lack Thereof) for AdS Black Holes", JHEP 06 (2014) 061,
[arXiv:1404.5215 [grqc]].

Keisuke Izumi, JeAn Gu, Yen Chin Ong, "Acausality and NonUnique Evolution in Generalized Teleparallel Gravity", Phys. Rev. D 89 (2014) 084025, [arXiv:1309.6461 [grqc]].
Reviewer: "the paper is interesting and correctly written [...] not all components of the vielbein can be determined from the equations of motion and initial conditions. This is illustrated in Section IV on a concrete example of the anisotropic cosmological metric: the degrees of freedom which correspond to the local Lorentz rotations cannot be determined fully. For this reason the evolution is not fully determined i.e. not unique, a property which is physically unacceptable.[...] The problem addressed in this paper, to examine the physical content of an alternative gravity theory is important, and along with a search for theories which provide models of the accelerated expansion of the Universe one should check for their general consistency."

Stanley Deser, Keisuke Izumi, Yen Chin Ong, Andrew Waldron, "Massive Gravity Acausality Redux",
Phys. Lett. B 726 (2013) 544, [arXiv:1306.5457 [hepth]].

Yen Chin Ong, Pisin Chen, "The Fate of Monsters in Antide Sitter Spacetime", JHEP 07 (2013) 147,
[arXiv:1304.3803 [hepth]].

Keisuke Izumi, Yen Chin Ong, "An Analysis of Characteristics in NonLinear Massive Gravity",
Class. Quant. Grav. 30 (2013) 184008 (Invited contribution for the focus issue on massive gravity; selected as the CQG Highlights of 20132014), [arXiv:1304.0211 [hepth]].

Yen Chin Ong, James M. Nester, Keisuke Izumi, Pisin Chen, "Problems with Propagation and Time Evolution in f(T) Gravity", Phys. Rev. D 88 (2013) 024019, [arXiv:1303.0993 [grqc]].
Reviewer: "This is a very well and very clearly written paper which discusses the existence of superluminal modes in
f(T) modified theories of gravity."

Keisuke Izumi, Yen Chin Ong, "Cosmological Perturbations in f(T) Gravity Revisited",
JCAP 06 (2013) 029, [arXiv:1212.5774 [grqc]].

Yen Chin Ong, Pisin Chen, "Stringy Stability of Charged Dilaton Black Holes with Flat Event Horizon",
JHEP 08 (2012) 079, Erratum: JHEP 01 (2015) 083, [arXiv:1205.4398 [hepth]].

Yen Chin Ong, Pisin Chen, "Stability of HořavaLifshitz Black Holes in the Context of AdS/CFT",
Phys. Rev. D 84 (2011) 104044, [arXiv:1106.3555 [hepth]].
Monograph
Yen Chin Ong,
"Evolution of Black Holes in Antide Sitter Spacetime and the Firewall Controversy",
Ph.D. Thesis , published in Springer Theses: Recognizing Outstanding Ph.D. Research.
DOI: 10.1007/9783662482704.
"Dr. Ong’s thesis reminds us [...] that while it may be consistent to ignore stringy objects in the bulk, it may not be. In particular, he reminds us that it is not correct to assume this for asymptotically AdS black holes which are highly charged (yet still subextremal). Such a black hole is a perfectly respectable object in classical general relativity, but not in string theory: even if one declares that the bulk is free of branes initially, one finds that, for a sufficiently highly charged black hole, branes will be produced in the bulk spontaneously, by a sort of generalized version of Schwinger pairproduction. These branes will themselves modify the black hole geometry, and so the assumed existence of a longlived black hole of this sort is ruled out. This is an unusual example of gaugegravity duality being applied in the reverse of the usual direction: for the dual statement is simply that a plasma cannot be arbitrarily cold; a sufficiently cold plasma will hadronize. [...] The key observation here is that one must take into account the geometry of the bulk. The introduction of electric charge into the bulk changes its geometry, and the extended objects (such as branes) of string theory are directly sensitive to this geometry: it affects the relationship between brane areas and volumes in a way that, as Dr. Ong explains, is absolutely decisive. His call to “take geometry seriously” is thus exemplified in the strongest possible terms."  Foreword by Prof. Brett McInnes.
Conference Proceedings

Yen Chin Ong, "Degrees of Freedom and Problems in f(T) Gravity",
Int. J. Geom. Methods Mod. Phys. 15 No, Supp01 (2018) 1850139 ; Proceeding of Geometric Foundations of Gravity in Tartu (Estonia), World Scientific, Singapore (2018).

Pisin Chen, Yen Chin Ong, Don N. Page, Misao Sasaki, Donghan Yeom, "Unclothed Firewalls", Int. J. Mod. Phys. D 25 (2016) 1645003 [Special Issue]; Everything about Gravity: Proceedings of the Second LeCosPA International Symposium, World Scientific, Singapore (2015), pp.2938.

Yen Chin Ong, Donghan Yeom, "Black Hole Information Loss: Some Food for Thoughts", Everything about Gravity: Proceedings of the Second LeCosPA International Symposium, World Scientific, Singapore (2015), pp.547553, [arXiv:1602.06600 [hepth]] (elaborated version).

Yen Chin Ong, Black Hole: "The Interior Spacetime", Everything about Gravity: Proceedings of the Second LeCosPA International Symposium, World Scientific, Singapore (2015), pp.578583, [arXiv:1602.04395 [grqc]].

Stanley Deser, Keisuke Izumi, Yen Chin Ong, Andrew Waldron, "Superluminal Propagation and Acausality of Nonlinear Massive Gravity", Proceeding for the Conference in Honour of the 90th Birthday of Freeman Dyson, World Scientific, Singapore (2014), pp. 430435, [arXiv:1312.1115 [hepth]].

Yen Chin Ong, Pisin Chen, "SeibergWitten Instability of Various Topological Black Holes in AdS/CFT", Proceeding for the 13th Marcel Grossmann Meeting, World Scientific, Singapore (2013), pp. 14161418, [arXiv:1302.7162 [hepth]].

Yen Chin Ong, "Stringy Stability of Dilaton Black Holes in 5Dimensional Antide Sitter Space", Proceedings of the Conference in Honor of Murray GellMann’s 80th Birthday, World Scientific, Singapore (2010), pp.583590, [arXiv:1101.5776 [hepth]].
If n is an even number
then I'll kiss you goodnight right here,
but if the modulus k is the unique solution,
I'll take you in my arms for the long night.
When the properties are constrained as well as incomplete,
I'll be getting off the train at this stop.
However, if there is some positive constant,
then I'll stay on board for a while longer.
When it says that the supremum deviates from the least zero, my heart closes off.
But if all moments are infinite and you can hear me,
I will open out for you.
This sequence satisfies the hypothesis of uniformity, and because we know that approximation is possible and that inequality is an embedding factor,
come, let's try once more.
 "Math Is Beautiful and So Are You",
Becky Dennison Sakellariou