But regarding superstrings, from such a strong statement one would expect at least proof (not rigorously by mathematical standards of course!) [Slides], Muyang Liu (Uppsala University) The original sphere packing problem in dimension 3 is known as Keplers conjecture and it was famously solved by Thomas Hales at the very end of the twentieth century. In physical terms, we will discuss a relation between the BPS spectrum of an N=2 4-dimensional field theory and the enumerative geometry of the corresponding Seiberg-Witten integrable system. problemu upakowania sfer w wymiarze 8, a take we wsppracy z innymi matematykami rozwizanie tego problemu w wymiarze 24. Abstract: The main goal of this talk is to present a novel conjectural incarnation of Langlands duality in the purely topological setting of character varieties of 3-manifolds and their quantizations via skein theory. IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online eventSpeaker: Simon Donaldson (Imperial College)Lecture title: Calibrated geometry and gauge . The program is based on two main ingredients: The complex geometry of the underlying moduli spaces on the one hand, and cluster algebra structures defined by BPS- or DT-invariants on the other hand. Im sorry if I cannot comment on other approaches to quantum gravity or non-stringy grand unification programs. Java-StringStringBuilderStringBufferMath Of course even his brightest former student couldnt accept that: The experimental community pretty much politely ignores the string theory community, and has, well, since 1974 or so when the analytic S-matrix failed to predict the charmed quark. It would differ in rare case, if this function evil() itself declared some variables which would want to be. We show that many 3d theories can be represented as plumbing graphs and hence be able to be constructed by compactifying M5-branes on corresponding plumbing manifolds using the construction of 3d-3d correspondence. It is expected that the right mathematical structure to capture physical properties of such symmetries is that of higher-categories. Home page of Greg Moore - Rutgers University (i) No one convincingly proved the mathematical equivalence between the RNS superstrings and GS formalism. http://silentmatt.com/javascript-expression-evaluator/, http://www.codeproject.com/KB/scripting/jsexpressioneval.aspx, I spent a couple of hours to implement all the arithmetical rules without using eval() and finally I published a package on npm string-math. CRM, Montreal, Canada. For different choices of superpotential, the LG theory categorifies the quantum knot invariants associated with any simply-laced Lie algebra. You, sir, are awesome. I strongly disagree with you about the issue of the intellectual honesty of my account of what Witten and Arkani-Hamed had to say. Edward Witten (Institute for Advanced Study) How to check whether a string contains a substring in JavaScript? The resulting quiver Yangians, together with their trigonometric and elliptic versions, unify various known results and generalize them to a much larger class. Sakura Schafer-Nameki Sat 3 Apr 2021 12.00 EDT Last modified on Tue 6 Apr 2021 09.54 EDT. Title: BPSDendroscopyon local Calabi-Yau threefolds Shing-Tung Yau (Harvard University), The interpretation of semiclassical gravity as an average of CFTs has provided much progress in understanding the factorization problem and the information paradox. In this talk, I will construct a large class of discrete geometric structures in all dimensions that satisfy these two properties, using the theory of hyperbolic buildings. Everything is in the description. This is a truly fundamental idea about space time geometry that gets too little attention in most physics courses. Theres a lot of repetition of tired old arguments from decades ago, zero acknowledgement that things have not worked out as hoped. The powerpoint is here in powerpoint and here in pdf . Moving away from such orbifold points requires generalizing the flow tree formula from the Abelian category of quiver representations to the derived category of the same. Title: Categorical Enumerative Invariants [Slides] [Video], Sunghyuk Park (California Institute of Technology) Studiowaa na uniwersytecie im. I wonder how to find the number of ternary strings that have at least one 0, one 1 and one 2. Extending this story, I will talk about other physical realizations of analytically continued systems, such as Regge poles, replicas, or dimensional regularization. Title: Elliptic trace map on chiral algebras String Theory Explained: A Basic Guide to String Theory Title: Perturbative calculations in twisted 4d gauge theories [online talk] Abstract: The D3-D5 and D2-D4 probe-brane systems with nonzero worldvolume flux are holographically dual to N=4 super Yang-Mills and ABJM theory in the presence of half-BPS domain walls. Update: At String 2021, yesterday Nima Arkani-Hamed gave a talk on Connecting String Theory to the Real World We See Outside Our Windows, where he sometimes sounds like me, contrasting the pre-LHC claims of string theorists: 1. This lecture is aimed for the general public and does not request much prerequisites in mathematics. Unfortunately I dont think Arkani-Hamed has any compelling argument against string theory implies landscape implies nothing to say about particle physics. Algorithm methods are divided for each level of operations order as follows: parseFactor = 1. operator sign | variable evaluation | function call | parenthesis (sub-expressions); 2. exponentiation; parseTerms = 3. multiplication, division; parseExpression = 4. addition, subtraction. CICADAS [i.e. Note : There is no library used in this solution purely hard coded, My solution takes into account of brackets also like 8+6(7(-1)) or 8+6(7(-1)), You can do these operations ^, *, /, +, -, To calculate a string use calculate(tokenize(pieval("8+6(7(-1))").join(""))). Abstract: The heterotic G2 system is the 7-dimensional analogue of the Hull-Strominger system. 1. The University of Warsaw The University of Warsaw, founded in 1816, is the largest university in Poland and a leading research centre in the country and in this region of Europe. Abstract: I will describe a close analogy between the spectral geometry of hyperbolic manifolds and conformal field theory. and Physics), [G]Suman Kundu (Tata Inst. It's december of 2021, and the java world has been rattled by a log4j vulnerability. CEIs should be thought of as a precise realization of the general idea, due to Kontsevich, that the category of open strings (plus data of the splitting) determine closed string invariants. String Math 2021 - Denis Auroux (Harvard University) - YouTube You will have to use the Number.isNaN() method to do it. Making statements based on opinion; back them up with references or personal experience. Update: In the final discussion section, Witten emphasizes that What is string theory? still has no answer, that we have little idea what it really is. it is true that experiments are real physics. crickets]. This is joint work with Constantin Teleman and Greg Moore. Participant responses to online questionnaire, Clickhereto use the Slack workspace of Strings 2021. A Triangle of Influence: Bringing Together Physics, Pure Mathematics, and Computer Science. It will often be a good idea to analyze states in terms of these irreducible representations. Local nodes will be coordinated worldwide for the joint viewing of talks and discussion sessions, and online satellite meetings during other time periods will be linked on this webpage. String theory is now older than not just my students, but also many of their parents and unfortunately its very well-established, sometimes even taught to high school students. Announcement String Math 2022 Lorenz Eberhard(IAS) String correlators on AdS3 17:00 - 17:50 14:00 - 14:50 Melissa Liu(Columbia University) Wall-Crossing for the Mirror Quintic . Any other way wouldn't be as efficient. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. Off topic, but the European congress of Mathematics has finished up. Abstract: I will explain some recent and ongoing work on the state spaces associated to 3-manifolds in the Kapustin-Witten twists of 4d N=4 SYM. It's december of 2021, and the java world has been rattled by a log4j vulnerability. Math Talks and Number Strings provide the foundation to help students improve their understanding and comprehension of numbers. Penroses talk is interesting (https://www.youtube.com/watch?v=hk_6EtWUatM), as is the discussion between him and string folks afterwards. Workshop on Algebraic Geometry and Machine Learning, Tsinghua Sanya International Mathematics Forum, January 2021. Chen-Te Ma (Asia Pacific Center for Theoretical Physics) 1 Let n be a natural number, n3. Finally, I will discuss some applications. In the end, we also consider a two-qubit system to demonstrate that a different entanglement spectrum does not provide the same constraint to $hat{H}$. Only if the string comes from a trusted source. Make an operation based on string, including priority for multiplication and division with vanilla javascript and nodejs. [Slides]. Abstract: This talk summarizes recent developments aimed towards F-theory constructions of MSSMs, i.e. String Math 2021 - Mina Aganagic (UC Berkeley) Instituto de Matemtica Pura e Aplicada 115K subscribers Subscribe Share 926 views 1 year ago IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned. Result is the same as without the 'new'. To summarize the situation, now as it has ever been: 1. Physics Meets AI, LMU Munich, September 2020. Exactly because of this. Title: Quantum duality and Morita theory for chiral algebras [online talk] Math 435 (Differential Geometry) Fall 2020. @DKepler Reimundo Heluani Organizing Committee. lectures on Physics at Future Colliders at the ICTP summer school on particle physics, talk on Connecting String Theory to the Real World We See Outside Our Windows, https://sites.google.com/unifi.it/scri21/program, https://www.youtube.com/watch?v=WwmxaXTnGMI, https://www.youtube.com/watch?v=hk_6EtWUatM. F-theory vacua with exactly one Higgs field and no vector-like exotics. Title:Landau-Ginzburg models for cominuscule homogeneous spaces You can sanitize the string with a regex first to be safe: If you wanted another method, you'd have to use a pure Javascript implementation of the exact thing eval is going to do. But in my view a real mistake in the long run. Finally, we will talk about the connections between the sphere packing problem and some mysteries of modern physics. Abstract: The problem of quantization of noncommutative spaces (spectral triples) is addressed first in a finite-dimensional, Euclidean setting (thus referred to as random noncommutative geometry, or Dirac ensambles). We also provide the action of braiding on the relevant branes, so we can calculate Khovanov homology for any knot given its braid representation. What hes doing is emphasizing ideas that are often not taught in conventional QFT courses (although they should be). The Ryu-Takayanagi formula then encodes the fractal dimension of the boundary, while the extremal surfaces encode an important part of the geometry of the buildings, showing a new interplay between ideas from holography and geometric group theory. The string community has been dishonest for at least 20 years, and has absolutely no right to give any lessons about ethics in science. Title: Homological blocks and R-matrices Title: Approximations for Calabi-Yau and other special holonomy/structure metrics I saw the discussions you refer to. Abstract: I will discuss the theory of Dirac operators perturbed by the Coulomb potential in an arbitrary dimension. This is a joint work with K. Ohmori (U. Tokyo). Hello, Robert A. Wilson I am not a fan of string theory. In this talk I will present how these two threads of research can be combined and what comes as a reward. In this tutorial, we'll discuss various approaches to evaluate a math expression using Java. As you probably guess from my former comments under the present pseudonym, Im one of those students whom, maybe for lacking courage or ,who knows? Title: Knizhnik-Zamolodchikov revisited: (non)supersymmetric gauge theories, defects, and localization @David Roberts: There are many references that discuss this from different perspectives. As an application, I will use conformal bootstrap techniques to obtain new rigorous bounds on the first positive Laplacian eigenvalue of hyperbolic orbifolds. The corresponding Gopakumar-Vafa invariants provide a discrete refinement of the invariants associated to the smooth deformation. Weekly on Mondays 2:10 PM (Pacific Time) Meetings are in-person, at 402 Physics South. I could go on the whole night, but I believe, as most other string theorists do, there are more urgent or at least doable problems to solve now. Hiraku Nakajima I just work on Theoretical Physics topics. The talk is based on work in collaboration with Davide Gaiotto. Za te oraz inne osignicia otrzymaa wiele prestiowych nagrd i wyrnie, m.in. Please, no more about the only string theory can compute the Black Hole entropy arguments. IMPA, Rio de Janeiro, June 14 18, 2021 Turned into an online eventSpeaker: Mina Aganagic (UC Berkeley)Lecture title: Knot homologies from mirror symmetryEvent page: http://bit.ly/stringmath2021Videos playlist: https://bit.ly/3v2lHlsThe series of String-Math conferences has developed into a central event on the interface between mathematics and physics related to string theory, quantum field theory and neighboring subjects. [Slides], Pawe Ciosmak (IDEAS NCBiR) Other than that, I'd use eval in this case. from 9:30 15:00 in So Paulo (8:30 14:00 in NY, 14:30 20:00 in Paris). 3. Leonardo Rastelli The String Math series of conferences have become an important event for anyone working at the interface between mathematics and theoretical physics (string theory, quantum field theory and adjacent topics), bringing together an interdisciplinary cohort of pure mathematicians and theoretical physicists. Organizing Committee:Henrique Bursztyn (IMPA)Reimundo Heluani (IMPA)Marcos Jardim (IMECC-UNICAMP)Gonalo Oliveira (UFF) Scientific Committee:Anton Alexeev (Universit de Genve)David Ben-Zvi (University of Texas)Alexander Braverman (Brown University)Ron Donagi (University of Pennsylvania)Giovanni Felder (ETH Zrich)Dan Freed (University of Texas)Edward Frenkel (University of California)Marco Gualtieri (University of Toronto)Nigel Hitchin (University of Oxford)Sheldon Katz (University of Illinois)Maxim Kontsevich (IHS)David Morrison (University of California)Andrei Okounkov (Columbia University)Vasily Pestun (IHS)Boris Pioline (Sorbonne Universit \u0026 CNRS)Nicolai Reshetikhin (University of California)Pedro Vieira (Perimeter Institute for Theoretical Physics)Katrin Wendland (Albert-Ludwigs-Universitt Freiburg)Edward Witten (Institute for Advanced Study)Shing-Tung Yau (Harvard University \u0026 The Chinese University of Hong Kong)Maxim Zabzine (Uppsala University)Steering Committee: Ron Donagi (University of Pennsylvania)Dan Freed (University of Texas at Austin)Nigel Hitchin (University of Oxford)Sheldon Katz (University of Illinois)Maxim Kontsevich (IHS)David Morrison (University of California)Hiroshi Ooguri (Caltech \u0026 IPMU)Boris Pioline (Universit Pierre et Marie Curie)Joerg Teschner (DESY)Edward Witten (Institute for Advanced Study)Shing-Tung Yau (Harvard University)Redes Sociais do IMPA: https://linktr.ee/impabrIMPA - Instituto de Matemtica Pura e Aplicada https://impa.br | http://impa.br/videos#stringmath2021 Os direitos sobre todo o material deste canal pertencem ao Instituto de Matemtica Pura e Aplicada, sendo vedada a utilizao total ou parcial do contedo sem autorizao prvia e por escrito do referido titular, salvo nas hipteses previstas na legislao vigente.The rights over all the material in this channel belong to the Instituto de Matemtica Pura e Aplicada, and it is forbidden to use all or part of it without prior written authorization from the above mentioned holder, except in the cases prescribed in the current legislation. Im posting this since I thought it could be useful for those very busy hep-ph physicists who may wish to go directly to (what I & surely many others) considers as the key moment from perspective lectures. Title: Non-rational $widehat{su}(2)$ cosets and Liouville field theory The proof in these cases uses the notion of 1-form symmetries (= co-dimension 2 topological defects) to express PGL(N)-skein modules as certain twisted SL(N)-skein-modules, and then to further relate these to well-known formulas for the cohomology of twisted character varietiesof surfaces. W 2018 zostaa zaproszona jako wykadowczyni podczas Midzynarodowego Kongresu Matematycznego jest to jedno z najwaniejszych wyrnie dla matematykw. However, I have provided a pure JS solution (w/o eval). The latter approach allows to realize holomorphically and topologically twisted field theories directly as worldvolume theories in deformed supergravity backgrounds, and we make extensive use of this. Matthias Gaberdiel Properties of the construction are explained both purely in the context of holomorphic field theory and also by engineering the holomorphic theory on the worldvolume of a D-brane. Abstract: The theory of Categorical Enumerative Invariants (CEIs) is a non-commutative generalization of the theory of Gromov-Witten invariants. https://sites.google.com/unifi.it/scri21/program The two-step procedure involves first finding points on the Calabi-Yau manifold and then approximating the Ricci-flat metric by approximating solutions to the underlying Monge-Ampere equation. Ivan Ip's Homepage - Hong Kong University of Science and Technology Of course, I do not justify equally wrong comments from certain string theorists Whats remarkable is how powerful Poincare space-time symmetry is as a determinant of how elementary particles behave. Calculate string value in javascript, not using eval, How Intuit democratizes AI development across teams through reusability. Abstract: We will present type-independent Laurent polynomial LG-models for the (small) quantum cohomology of cominuscule spaces [Spacek21] as well as Plcker coordinate LG-models for the exceptional family [Spacek-Wang22]. Brittany Goerig | Oct 14, 2020 | 00:56:54. Mathematically, they can be identified with the K-theoretic versions of the Donaldson invariants on X. Abstract: I will review the Cohomological Hall algebra associated to a quiver and an oriented cohomology theory. String Math 2021 - Si Li (Tsinghua University) 848 views Jun 15, 2021 27 Dislike Share Instituto de Matemtica Pura e Aplicada 100K subscribers How can I guarantee that my enums definition doesn't change in JavaScript? But this is just an opinion. +1 upvote from me, and I've already used it in a project. , self-confidence, went through a Faustian-like monologue, if you allow me a little of prose: Ive studied, Schwarz, alas, Polchinski, However, this is an unrealistically simple description of the situation, even for a basic example such as the classical phase space.. The methods can also be extended to SU(n) or G2 structure metrics Lakshya Bhardwaj (University of Oxford) Share. Andrew Neitzke - Yale University Cookies and PrivacyAboutEventsNews NN-QFT Correspondence. We provide new the structure that allows this, whose quantisation turns out to be lead to a multimatrix ensemble. For a so called well defined mathematical theory, cannot be tweaked etc, the number of unsolved issues with it and the claim not understanding what string theory is is inconsistent. Nicolai Reshetikhin Title: Non-Invertible Symmetries and Higher-Categories [Slides] [Video], Yaping Yang (University of Melbourne) I will then explain how to describe their representations using subcrystals and how they can be translated into the framings of the quivers. On the utility of the equation 2+4=6 in supersymmetric quantum field theory. Adrian, Physical Review, 85(4), p.631. This is joint work with Mark Gross. Thats about the general problem of quantizing a symplectic manifold, but my impression was that Witten was thinking of the even more general problem of a quantum theory with no known symplectic manifold of which it is the quantization. . Francis (Skip) Fennell | Nov 3, 2021 . You are possibly right its now pointless to debate those issues. If you're looking for a syntactical equivalent to eval, you could use new Function. Title: Holomorphic Floer theory and Donaldson-Thomas invariants Its explicit description as a QFT has remained elusive. We are going to perform a construction of such quantum curves using the mathematical language of vertex operator algebras. Abstract: We discuss the partition functions of topologically twisted 5d SU(2) supersymmetric Yang-Mills theory on X x S1, where X is a smooth closed four-manifold. Abstract: I will present some conjectures for higher-rank K-theoretic Donaldson-Thomas theory on toric three-folds, and some lessons that we learned from working equivariantly on non-compact spaces. This construction has several advantages and opens perspectives towards generalization to the case of the $cW$-algebras Of course, these are people. -) and postfix (e.g. Probably the best answer. Title: Quantum curves and vertex algebras PDF Si Li - GitHub Pages In the ending remark, Ooguri makes the observation that the percentage of speakers older than him is roughly a linear function (64-2x)% where x is the number of years after his PhD. General string perturbation theory using 2d conformal field theory. [Slides] [Video], Dan Freed (University of Texas at Austin) Piotr Kucharski (University of Amsterdam) The video answered some questions that I still had (e.g. Title: Topological Langlands duality and 1-form symmetries Thank you. Is a PhD visitor considered as a visiting scholar? LQG calculations claim to reproduce the semi-classical limit. [Slides], Kasia Budzik (Perimeter Institute) Abstract: We revisit Vafa-Witten theory in the more general setting whereby the underlying moduli space is not that of instantons, but of the full Vafa-Witten equations. Title: Bootstrapping AdS/BCFT IMPA, Rio de Janeiro, June 14 18, 2021 Turned into an online event. Abstract: In this talk, I will revisit the construction of heterotic ALE instantons and the corresponding T-dual systems in 6D little string theories (LSTs). Elements of this Hilbert space can be thought of as local operators living in a (d-1)-dimensional spacetime. Theres a long list of things they are talking about under the name string theory, with the generic problem that the ones that are reasonably well-defined have nothing to do with the real world (e.g., wrong dimension). Discrete mathematics - ternary strings. - Mathematics Stack Exchange Wittens answer is that this was just a vague hope, that the duality ideas are now 25 years old, we havent progressed beyond them, need something new. I did watch fully the discussions I wrote about here, also took a look at many of the others. To address the problem of quantization of a space with gauge fields, first the structure that in the smooth (i.e. [Slides] [Video], Lauren Williams (Harvard University) [Slides], Mateo Galdeano (University of Oxford) Strings provided the authors with a way to make relatively small changes to guided notes in algebra 1, algebra 2, precalculus, and AP calculus classes. of topological string partition functions. June 14-18, 2021: String-Math 2021 (Plenary talk), IMPA, Rio de Janeiro, Brazil. Title: Geometry of Higher-Form Group Structures in String Theory IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online eventSpeaker: Giovanni Felder (ETH Zrich)Lecture title: Superstring measure and the superper. We revisit this construction, working directly in the setting of the holomorphically twisted theory and viewing the topological twists as further deformations. . Oh, God, how hard Ive slaved away, But the time, the community (and the arXiv) takes care of these mistakes. @adrianmigueldiego: as a mathematical-physics, I have been earring for 20 years that string theory is the only game in town, I have seen the raise of LQG as an opponent to string, and I witnessed the tentative of string theory to kidnap noncommutative geometry claiming that this was nothing but the geometry of string theory. We physically derive (i) a novel Vafa-Witten four-manifold invariant associated with this moduli space, (ii) their relation to Gromov-Witten invariants, (iii) a novel Vafa-Witten Floer homology assigned to three-manifold boundaries, (iv) a novel Vafa-Witten Atiyah-Floer correspondence, (v) a proof and generalization of a conjecture by Abouzaid-Manolescu about the hypercohomology of a perverse sheaf of vanishing cycles, (vi) a Langlands duality of these invariants, Floer homologies and hypercohomology, and (vii) a quantum geometric Langlands correspondence with purely imaginary parameter that specializes to the classical correspondence in the zero-coupling limit, where Higgs bundles feature in (ii), (iv), (vi) and (vii). Evaluator.js is used by a desktop calculator application of the same name. . I am currently reading Weinbergs book to fill some holes in my knowledge. 2013 Nov. Osaka City University, Japan. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. In other words, a ternary string is a n-permutation with a repetion of the set {0,1,2}. !) Finally, I will mention how some of these features are likely to persist in a proposal for the worldsheet dual of free N=4 Super Yang-Mills theory. The key steps in this equivalence is a probabilistic derivation of the DOZZ formula for the structure constants, the spectral analysis of the Hamiltonian of the theory and the proof that the probabilistic construction satisfies certain natural geometrical gluing rules called Segals axioms. This is based on arXiv:2202.01788, with Matilde Marcolli and Sarthak Parikh. Richard Thomas In other words, the string boundary conditions on the probe branes preserve the integrability of the corresponding Green-Schwarz sigma models. Solutions to this system describe compactifications of heterotic string theory with N=1 supersymmetry on a 7-dimensional manifold. you see Ed Witten, and then Shiraz Minwalla, basically agreeing with you. Title: Quivers for 3-manifolds Title: Holomorphic boundary conditions for topological field theories via branes in twisted supergravity Yes, but I cant imagine that Witten was thinking of anything as well known and well understood as a qubit. How do I check if an array includes a value in JavaScript? 10. Evaluating a Math Expression in Java | Baeldung Unfortunately, finding explicit solutions to the system is a challenging problem due to the existence of an anomaly cancellation condition for the gauge fields. I will also discuss a second application, a new definition of FJRW invariants in the presence of an arbitrary symmetry group. Interestingly, most of the structures uncovered have a fractal boundary at infinity, which possesses a rich geometric structure. Title: Heterotic little strings, T-duality and 2-group symmetries My talk will be based on recent joint work with Baej Ruba. Infinite Analysis 13 Autumn School on Quantum Dilogarithm, Modular Double, and Representation Theory. Simon Donaldson Is there some function to create a simple calculator without eval. It is healthy. Abstract: In 2002, Fukaya proposed a remarkable explanation of mirror symmetry detailing the SYZ conjecture by introducing two correspondences: one between the theory of pseudo-holomorphic curves on a Calabi-Yau manifold X and the multi-valued Morse theory on the base B of an SYZ fibration p : X B, and the other between deformation theory of the mirror X and the same multi-valued Morse theory on B. Invertible QFTs are expected to form a sheaf of \infty-groupoids, and we apply the framework of differential cohomology to this sheaf. This includes joint work with David Ben-Zvi, David Jordan, Pavel Safronov, Monica Vazirani, and Haiping Yang. Liouville theory appeared there under the form of a 2D Feynman path integral and since then has appeared in a wide variety of contexts (random conformal geometry, SUSY Yang-Mills, etc). This is exactly the place where you should be using eval(), or you will have to loop through the string and generate the numbers.