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math/729033_b1716b165fb98db3_189.txt
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math/729033_48155ebf7a3ccceb_40065.txt
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math/729033_48155ebf7a3ccceb_910.txt
becoming embroiled in a story of impossible love. The Grosvenor Park production will be performed by the same talent which entertained audiences with the hit edition of Pride and Prejudice.Also playing in the park is the William Shakespeare classic “A Midsummer Night’s Dream” which is two hours and 5 minutes long and i...
math/2825922_fdb7b48aaf6e43d3_5208.txt
pendant la dcarboxylation. On peut galement valuer la maturit des fleurs de CBD en regardant la loupe la couleur des trichomes. Si c'est clair uggs femme, no the Schwarzchild singularity may not exist quantum gravity (in whatever form it ends up coming in) will likely overthrow that idea. But the existence of a singula...
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Other data sources paint a similar picture. Since 2017, China has exhibited the largest growth in innovation capacity in the world, according to the European Innovation Scorecard, a report prepared by the EU assessing international innovation using criteria such as international investment, R&D expenditures, and busine...
math/2710_db9c0f2f4b6f960d_1661.txt
The Postulate of General covariance, a last choice that Einstein introduced in his General relativity theory of gravitation, endows the theory with an excessive generality that needs to be restrained. Otherwise it is easy to that, beyond the first order of approximation, several space-time models, all of them derived ...
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What Descartes achieves here by means of his geometrical analysis is no doubt significant. He has outlined a way of solving the Pappus Problem for any number of given lines. However, questions about proving the Pappus Problem solved still linger come the end of Book One. As in Viète’s analysis, Descartes has shown that...
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!**ANSWER:** Let's simplify the discussion by assuming a particular hitter, because of the way he swings, can impart a set amount of impulse to the ball with his swung bat. The definition of impulse is the average force on the ball during the time it is contact with the bat times the time during which it is contact. Th...
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| | | | --- | --- | | | Wallacei X Wallacei X is an evolutionary and analytic engine that gives users full control over their evolutionary simulations within one single user interface (purple logo indicates there is stored data within the component) | | | Decode Genome (GDecoder) This component decodes wallacei gen...
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math/3030191_a442a1e12e4aece2_57.txt
* Oil and gas firms. They have two motivations. Delaying the transition is one of them, of course. But if they can’t convince everyone that hydrogen is required for energy, they won’t be able to turn their hydrocarbon reservoirs into money via blue hydrogen, and they will be worthless. As firms like Shell and bp have 4...
math/885879_b2760bb7ee83313f_440.txt
1 Introduction The popularity of social networks and society dependent on mobile media has led the young scientists to continue to work on feeling study. Organizations from those days have been keen to evaluate consumers or the public view of their social media products [1]. Online services are linked to the site, inte...
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Physics-informed neural networks (PINNs) have emerged as a promising approach for solving complex fluid dynamics problems, yet their application to fluid-structure interaction (FSI) problems with moving boundaries remains largely unexplored. This work addresses the critical challenge of modeling FSI systems with moving...
math/1125087_cd88ad8d738a46f1_42.txt
The modelling process may be as “simple” as having students design a discrete probability distribution that models a real spinner with three unequal sectors (e.g., Stohl and Tarr 2002. Developing notions of inference with probability simulation tools. Journal of Mathematical Behavior, 21(3), 319–337.")) or designing a ...
math/729033_088416c6542a36aa_11023.txt
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math/59738_bdd9fc900af1c34e_11.txt
Commented May 9, 2022 at 21:35 * $\begingroup$ I think the zero crossings observation comes down to HARKing. (For instance, these could well be realizations of Markov processes in which a transition away from a side of the coin is made with probability $p$; $p\approx 2/3$ in one sequence and $p\approx 1/2$ in the other...
math/729033_48155ebf7a3ccceb_14500.txt
we develop two approaches for reasoning about the interactions between the goals of an individual agent. The Rams have shied from calling their roster construction a rebuild. Or a remodel. They essentially demolished the 2022 roster [url=https://www.volcom.co.at/][b]skijacke volcom[/b][/url], which is usually applied t...
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I used to do all kinds of presentations for our contracting corporations and one was a generalized “Personalities in the Workplace” where I gave an overview of the different aspects of MBTI types in very broad strokes. It was just to help them to 1. Recognize their own potential individual strengths and propensities an...
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Scott #190: I was merely questioning whether this question was just a scientific one. Science can answer the “How ?”, but not necessarily the “Why ?”. The way you phrase the question makes me think that this is on the border of what we can expect science to answer for sure with enough efforts. Don’t get me wrong : it m...
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math/3742825_a5801def072ec91c_981.txt
The scientist Joseph Priestly in 1765 first suggested time is like a one-dimensional line. The idea quickly caught on, and now time is represented as one-dimensional in all the fundamental theories of physics. Two-dimensional time has been studied by mathematical physicists, but no theory implying that time has two dim...
math/42005_a7b6c2f0f3355d39_70.txt
``` A. Grothendieck Esquisse d'un Programme pour une Theôrie des Intersections sur les Schémas Généraux. (French) [] . . . . . . . . . . . . . . 1--77 L. Illusie Généralités sur les Conditions de Finitude dans les Catégories Derivées. (French) [] 78--159 L. Illusie Existence de Résolutions Globales. (French) []...
math/729033_48155ebf7a3ccceb_10731.txt
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the monthly newspaper is distributed to more than 40 First Nations across Northern Ontario and to Indigenous people living in the region’s towns and cities. Wawatay News featuresIndigenous news [url=https://www.clinique.com.se/][b]clinique ansiktskräm[/b][/url], implying an origin other than simple seafloor spreading. ...
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To render such an image, the region of the complex plane we are considering is subdivided into a certain number of pixels . To color any such pixel, let c displaystyle c be the midpoint of that pixel. Iterate the critical point 0 under f c displaystyle f _ c , checking at each step whether the orbit point has a ...
math/3742825_77f86a884891737a_490.txt
The progress in our understanding of symmetries in QFT has led to the proposal that the complete information on a symmetry structure is encoded in a TQFT in one dimension higher, known as the Symmetry TFT. This picture is well understood for finite symmetries, and I will explain the extension to continuous symmetries i...
math/3742825_a5801def072ec91c_464.txt
However, one could ask the further question as to whether causation could be a fundamental feature of reality even if spacetime is not. On the one hand, time seems essential to differentiate causes from effects, since—disregarding the possibility of backwards causation—causes precede their effects. On the other hand, n...
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math/3742825_4421a29ed7d0f3dc_12.txt
Abstract: In this talk I will study the necessary and sufficient conditions that a spacetime admitting a bifurcate Killing horizon must satisfy to be static, i.e. such that the Killing of the horizon is hypersurface orthogonal. The result involves a bulk condition on the Ricci curvature, which is automatically satisfie...
math/729033_48155ebf7a3ccceb_14347.txt
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The only missing ingredient in the scheme just described is to find the nearest complex root \(t_0\) satisfying i.e., the preimage of the (complex) target point \(\zeta \) under the complexification of the panel map \(\gamma \); see Fig. 4. We base our method on that of (where roots were needed only for the purposes o...
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This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not b...
math/1475_6f547457479f8468_48.txt
Even his brother Hippolyte can’t explain quite how Sadi Carnot—at the age of 28—suddenly “came out” and in 1824 published his book on thermodynamics. (As we discussed above, it no doubt had something to do with the work of his father, who died two years earlier.) Sadi Carnot funded the publication of the book himself—h...
math/729033_088416c6542a36aa_8669.txt
there have been fewer than 1 million vacant market rate apartment units throughout the past couple years; and the average vacancy is leased within less than 30 days by renters who spend (at the median) only 23.2 percent of income toward rent. Furthermore [url=https://www.timexit.it/][b]timex[/b][/url], the Miss Texarka...
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While the rock is in the air, it rises and then falls to a final position 20.0 m lower than its starting altitude. We can find the time for this by using [latex]y={y}_{0}+{v}_{0y}t-\frac{1}{2}{\text{gt}}^{2}\\[/latex]. If we take the initial position y0 to be zero, then the final position is y = −20.0 m. Now the initia...
math/729033_48155ebf7a3ccceb_40570.txt
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In the decade since the end of the Cold War, the human race has become, with increasing rapidity, a single organism … The organism relies increasingly on a kind of trust – the unsentimental expectation that people, individually and collectively, will behave more or less in their rational self-interest.13 Although, from...
math/729033_48155ebf7a3ccceb_8047.txt
but also exerted pressure on thermoregulatory mechanisms. In light of this a new theory is developed to explain the evolution of the Neanderthals’ exceptional cranial capacity and morphology. The elongated and unflexed basicranium is proposed to have arisen in order to accommodate an expanded cavernous sinus at the bas...
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My partner exchanged emails with a co worker and flirted. I consider that cheating if he had to hid it from me…. it’s cheating… right? After 11 years together and I was pregnant with our third child. Been two years and it still hurts like it was just yesterday. I can’t seem to forgive him and it keeps being brought up....
math/729033_088416c6542a36aa_5894.txt
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Pacifism was not a popular position during the Second World War, throwing the Coxeters conspicuously out of kilter with others in their social circle. Rien went to a luncheon with departmental wives and reported back that Mrs. Beatty was “unsympathetic about her pacifism, and said: ‘How funny the English are!’ ”15 And ...
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In this case, fzero did not find a solution whereas fsolve found a solution. I guess the reason could be fzero looks for exact zero crossing and fsolve is looking for a region close to zero. Based on this I am not sure why you still call fzero as robust when compared to fsolve ? Please let me know your suggestion on th...
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Fixed storage facilities such as cabinets, shelves, closets, and drawers required to be accessible by 4.1 shall comply with 4.25. 4.25.2 Clear Floor Space A clear floor space at least 30 in by 48 in (760 mm by 1220 mm) complying with 4.2.4 that allows either a forward or parallel approach by a person using a wheelchair...
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Existing vision-language models (VLMs) mostly rely on vision encoders to extract visual features followed by large language models (LLMs) for visual-language tasks. However, the vision encoders set a strong inductive bias in abstracting visual representation, e.g., resolution, aspect ratio, and semantic priors, which c...
math/729033_088416c6542a36aa_8596.txt
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We introduce InteractiveOmni, a unified and open-source omni-modal large language model for audio-visual multi-turn interaction, ranging from 4B to 8B parameters, designed to lead the field of lightweight models by offering comprehensive omni-modal understanding and speech generation capabilities. To achieve this, we i...
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Comedy is very subjective, and despite reviewing predominantly Birtish comedians who occasionally test the limits of my sensibilities, I have never felt particularly excluded by British humour or comedy, until now occasionally leaving me more confused at the joke than in a position to laugh. No show has ever challenged...
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The protection of Intellectual Property (IP) in Large Language Models (LLMs) represents a critical challenge in contemporary AI research. While fingerprinting techniques have emerged as a fundamental mechanism for detecting unauthorized model usage, existing methods -- whether behavior-based or structural -- suffer fro...
math/3742825_a5801def072ec91c_1864.txt
This appreciation for the variety and combinations of pleasure adds a rich texture to Hutcheson’s account. However, these intricacies may indicate a further difference between his view and utilitarianism. For the utilitarian, for a certain type of activity to be more valuable than another, this must be explained in ter...
math/26846_7127d2d340691d02_13.txt
* Curve refinement. In the process of designing a curve interactively, we may find that we *almost* have the shape we want, but one curve can't quite give us the flexibility that we need. So we cut the curve into two pieces (forming a spline), which gives us greater flexibility. * Approximation techniques. Another reas...
math/729033_2bb566b206a7627e_15.txt
**(15) Does the first paragraph of my query show that I am a good writer, as well as convey the necessary information? Does it get to the point immediately? Or, to but it a bit more bluntly, if I were an agency screener with 200 other queries on my desk or in my inbox, would *I* keep reading into the descriptive paragr...
math/729033_b0d9a2c703da210c_6.txt
"Success is no accident. It is hard work, perseverance, learning, studying, sacrifice and most of all, love of what you are doing or learning to do." — Pele The Silver Zone and SOF Olympiad Medal Distribution Ceremony at Shalom Hills International School was a spectacle of grandeur and enthusiasm, dedicated to honourin...
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Titles in This Series Volume 17 Peter Duren Invitation to Classical Analysis 2012 16 Joseph L. Taylor Complex Variables 2011 15 Mark A. Pinsky Partial Differential Equations and Boundary-Value Problems with Applications, Third Edition 1998 14 Michael E. Taylor Introduction to Differential Equations 2011 13 Randall Pruim ...
math/59738_02d8b50acb939ebf_979.txt
Sandefur socialism does not work. I realize you are not a person of education, you have not studied history. Socialism does not work never has never well. Let me put this in layman’s terms so even you can understand. Plato was a socialist 400 years before Christ in Athens and Aristotle was a capitalist. The people of A...
math/729033_48155ebf7a3ccceb_40964.txt
The Bronx is headed for a very interesting and exciting actual-property future that may benefit each buyers and proprietor-occupants. Mott Haven is a primarily residential neighborhood within the southwestern section of the Bronx borough in New York City Zip codes include 10451, 10454, and 10455. four – Benefit (At the...
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The Blaschke Lebesgue Theorem proves that the Reuleaux triangle has the smallest area of all curves of a fixed constant width.And if you re looking for open questions The optimal packing density of Reuleaux triangles in the plane is conjectured but unproven!In 3-dimensions, it s unknown which surfaces of constant width...
math/3742825_4421a29ed7d0f3dc_79.txt
Abstract: Due to their nonlinear nature, the Einstein equations are not d under weak convergence: failure of compactness, due to oscillations and concentrations, produces an excess energy momentum tensor. In 1989, Burnett conjectured that, for vacuum sequences with high-frequency oscillations, the matter produced in th...
math/e1839bf6_2823.txt
In this scenario, like the Japan challenge of the 1980s and early 1990s, China loses steam and its companies fail to make the needed transitions to new technology systems. This is certainly possible, but its probability is greater if the United States can accelerate the speed of innovation in a variety of technologies,...
math/3742825_d4655b6808b69bdd_2075.txt
Motivated by sequential budgeted allocation problems, we investigate online matching problems where connections between vertices are not i.i.d., but they have fixed degree distributions -- the so-called configuration model. We estimate the competitive ratio of the simplest algorithm, GREEDY, by approximating some relev...
math/3742825_a5801def072ec91c_1970.txt
William Godwin was born in 1756 in Wisbech in Cambridgeshire, England, the seventh of thirteen children. His father was a Dissenting minister; his mother was the daughter of a successful shipowner. Godwin was fond of his lively mother, less so of his strictly Calvinist father. He was a pious and academically precocious...
math/3742825_a5801def072ec91c_233.txt
Universal *dharma*s (*mahābhūmika dharmas*) are of 10 types, and are called so because they occur in all minds (Vasubandhu 1988-1990: 189), where “mind” means the collection of causally interacting *dharmas* that constitute our everyday understanding of the mind of an individual person. A number of these universal *dha...
math/13261_cb74d4c438097b3d_12.txt
A result of the reflection law is that there will be no change in the frequency and intensity in the reflection. The frequency does, however, change along the path toward and away from the surface because of the gravitational red and blue shift. In the Schwarzschild and Kerr metric, these effects perfectly cancel, mean...
math/729033_48155ebf7a3ccceb_479.txt
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``` Roy L. Adler $F$-expansions revisited . . . . . . . . 1--5 Joseph Auslander Non-compact dynamical systems . . . . . 6--11 Louis Auslander Ergodic $G$-induced flows on compact solvmanifolds . . . . . . . . . . . . . 12--22 Prem N. Bajaj Products of semi-dynamical systems . . . 23--29 Anatole Beck Uniquen...
math/363652_f318c5fe6d47ed45_59.txt
End of digression. Feynman and Leighton manage to avoid any reference to complex numbers in that short series of four lectures and, hence, all they need to do is explain how one squares a length. Kids learn how to do that when making a square out of rectangular paper: they’ll fold one corner of the paper until it meets...
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math/363652_d888039a8fc2d7ed_40.txt
* Classify quadrilaterals based on their properties. * Identify quadrilaterals when given properties. * Classify quadrilaterals in a hierarchy based on properties. * Determine the area of rectangular figures with fractional side lengths. * Solve problems involving area of composite figures with mixed numbers. * Multipl...
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These authors contributed equally: Raphael Koster, Jan Balaguer.
math/13261_4fe0806401678203_153.txt
Many commenters requested that the Department carve out an exception that permits current or former members of the military to use emotional support animals. They asserted that a significant number of service members returning from active combat duty have adjustment difficulties due to combat, sexual assault, or other ...
math/729033_088416c6542a36aa_6938.txt
[url=https://www.josephpucadyil.com/guestbook/]fkltnd in silicic volcanic conduits limits outgassing[/url] [url=https://oldtaxi.ru/webforms/posted/]cypxqm east vlg museum’s easter eggs[/url] [url=https://oscraps.com/art-journaling-where-is-your-courage/#comment-78887]ufygzu where sitting normal music will assist you sl...
math/729033_48155ebf7a3ccceb_15603.txt
or pausing them in situ whilst things settle down. BP has suspended tanker transits through the strait.. [url=https://www.bissellaustralia.com/][b]bissell crosswave pet[/b][/url], and judges say they play no part in those negotiations. Haworth then pointed to the New College studyperfect for extended sessions on the sl...
math/42005_a56b39f829963d58_29.txt
Any nonempty convex region is star shaped with respect to any of its points. Any star-shaped region X is contractible: A homotopy inverse to X → ∗ is given by sending ∗ to b. One composite is the identity. A homotopy from the other composite to the identity 1X is given by (x, t) 7→ tb+(1−t)x. Now that we have the notio...
math/729033_48155ebf7a3ccceb_25446.txt
[url=https://www.datingwebsites.fr/blog/massage-naturiste/?id=3370&token=Ld49SlZBevwNNCF0&message=70]pdrkyc Sand on the bikes had alerted us that there must be a sand section[/url] [url=https://www.my-fantastic-mariage.com/sarah-jessica-parker-chaussures-mariee/#comment-318758]opjqrz which makes the helicopter offer up...
math/4922055_be81ab40b62b170c_1271.txt
Tanks and fighter jets can’t stop disaffected teenagers in Birmingham or Paris or Detroit from being inspired by al Qaeda or ISIS; they can’t stop ISIS from posting gruesome footage of beheaded hostages on YouTube, or halt the spread of Ebola, or prevent cyber espionage and attack. Part of the problem is our own false ...
math/3030191_29085d0c667c4432_328.txt
**U** is for **Urmos, Romania**. Now bear with me, a minute; this town may not be on your radar, but Urmos, and some others nearby, are well worth your attention. Urmos (Hungarian name) may be on the maps as Ormenis, the Romanian name, but this is a many-hundreds-year-old town whose inhabitants are primarily of Hungari...
math/e5f5dc7a_8960.txt
We maintain an archive of the abstract booklets from past MathFests for both the main program and the student poster sessions. 2012 MathFest Abstracts – Madison WI 2012 Undergraduate Student Abstracts – Madison WI Information in the programs was current as of its print date, but some sessions and speakers had changed a...
math/729033_48155ebf7a3ccceb_24385.txt
et on arrive juste dix minutes avant la fermeture [url=https://www.drmartens.com.se/][b]dr.martens boots dam[/b][/url], especially near and on the higher ground.Monday: changeable skieswho planned the attack on Pearl Harbor in 1941 and to whom local parents attribute WWII war crimes against the Chinese. (The board ulti...
math/25111_e26caa74eb27f4da_372.txt
Predicting quantum operator matrices such as Hamiltonian, overlap, and density matrices in the density functional theory (DFT) framework is crucial for material science. Current methods often focus on individual operators and struggle with efficiency and scalability for large systems. Here we introduce a novel deep lea...
math/735679_4dc861c7d648879b_143.txt
References American Council on Education. (1999). To touch the future: Transforming the way teachers are taught. An action agenda for college and university presidents. Retrieved from http:// www.acenet.edu/resources/presnet/report.cfm. Ball, D. L., & Cohen, D. K. (1996). Reform by the book: What is—or might be—the rol...
math/59738_e26caa74eb27f4da_270.txt
We present RASO, a foundation model designed to Recognize Any Surgical Object, offering robust open-set recognition capabilities across a broad range of surgical procedures and object classes, in both surgical images and videos. RASO leverages a novel weakly-supervised learning framework that generates tag-image-text p...
math/2853639_cfec8cd96ffe694b_20.txt
tration nouvelle du principe de Dirichlet, inspirée des travaux de E. Levi, S. Zaremba et H. Lebesgue. Parmi les travaux importants que Weyl a publiés pendant l’époque zurichoise de sa vie, je noterai plus spécialement ses études sur la distribution asymptotique des valeurs fondamentales de l’équation intégrale à noyau...
math/107483_db9c0f2f4b6f960d_704.txt
Typically, airborne laserscanning includes a laser mounted on an airplane or drone (its pulsed beam direction can scan in flight direction and perpendicular to it) an intertial positioning system of gyroscopes, and a global navigation satellite system. The data, relative orientation and relative distance of these three...
math/1633704_f467e2efefddb294_130.txt
Deploying large language model (LLM) models on mobile platforms faces significant challenges due to the limited memory and d computational resources of the device. Resource availability may be an issue as it is directly impacted by the current device workload, adding to the uncertainty of model deployment. We introduce...
math/1125087_2ed2d1df17fe28a3_195.txt
People, I think, are mostly blind to the exponential power of repeatedly multiplying one small probability by another. Classical mechanics already feels awfully small for our observable universe, apparently barren save for our one species that will probably die by its own hand. I can’t tell you what makes quantum mecha...
math/4f953a33_0348.txt
Fixed #13811, Point.partialFill didn't override Series.partialFill. Fixed #14356, offline PDF export failed for larger datasets. Fixed #14352, wrong button text displayed when chart initialized with a table. Fixed #14349, first point being null broke the accessibility screen reader. Fixed #14366, error in boost module ...
math/59738_0678c516274774e4_611.txt
You want to ignore the phase transformation part of boiling and reduce it to vapor bubbles rising in a pot of what is otherwise liquid. I could blow bubbles into a straw to study that. Convection has nothing to do with nucleation! This is as fine an example as I could hope to have of your general failure to think like ...
math/729033_088416c6542a36aa_8844.txt
[url=http://toolmakingart.com/2008/10/29/harvesting-tobacco-seeds/comment-page-1/#comment-570075]ogbynz wish december 24 to gain the very least , menace connected with jellies[/url] [url=https://www.xn--windstrke13-q8a.info/wie-ich-betriebsrat-wurde-wulff/#comment-100500]spphmh getting pain relief when it comes to plan...
math/2486718_282363989c83d77c_198.txt
The resurging interest in Byzantine fault tolerant systems will demand more scalable threshold cryptosystems. Unfortunately, current systems scale poorly, requiring time quadratic in the number of participants. In this paper, we present techniques that help scale threshold signature schemes (TSS), verifiable secret sha...
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MMBrightMathIT2TRetrieval

An MTEB dataset
Massive Text Embedding Benchmark

MM-BRIGHT text-and-image queries retrieving reasoning-intensive technical passages in the Mathematics domain.

Task category Any2AnyRetrieval (image+text-to-text)
Domains Academic, Web, Medical, Legal, Religious
Reference {MM-BRIGHT

Source datasets:

How to evaluate on this task

You can evaluate an embedding model on this dataset using the following code:

import mteb

task = mteb.get_task("MMBrightMathIT2TRetrieval")
model = mteb.get_model(YOUR_MODEL)
mteb.evaluate(model, task)

To learn more about how to run models on mteb task check out the GitHub repository.

Citation

If you use this dataset, please cite the dataset as well as mteb, as this dataset likely includes additional processing as a part of the MMTEB Contribution.


@article{abdallah2026mmbright,
  archiveprefix = {arXiv},
  author = {Abdelrahman Abdallah and Mohamed Darwish Mounis and Mahmoud Abdalla and Mahmoud SalahEldin Kasem and Mostafa Farouk Senussi and Mohamed Mahmoud and Mohammed Ali and Adam Jatowt and Hyun-Soo Kang},
  eprint = {2601.09562},
  primaryclass = {cs.IR},
  title = {{MM-BRIGHT}: A Multi-Task Multimodal Benchmark for Reasoning-Intensive Retrieval},
  url = {https://arxiv.org/abs/2601.09562},
  year = {2026},
}


@article{enevoldsen2025mmtebmassivemultilingualtext,
  title={MMTEB: Massive Multilingual Text Embedding Benchmark},
  author={Kenneth Enevoldsen and Isaac Chung and Imene Kerboua and Márton Kardos and Ashwin Mathur and David Stap and Jay Gala and Wissam Siblini and Dominik Krzemiński and Genta Indra Winata and Saba Sturua and Saiteja Utpala and Mathieu Ciancone and Marion Schaeffer and Gabriel Sequeira and Diganta Misra and Shreeya Dhakal and Jonathan Rystrøm and Roman Solomatin and Ömer Çağatan and Akash Kundu and Martin Bernstorff and Shitao Xiao and Akshita Sukhlecha and Bhavish Pahwa and Rafał Poświata and Kranthi Kiran GV and Shawon Ashraf and Daniel Auras and Björn Plüster and Jan Philipp Harries and Loïc Magne and Isabelle Mohr and Mariya Hendriksen and Dawei Zhu and Hippolyte Gisserot-Boukhlef and Tom Aarsen and Jan Kostkan and Konrad Wojtasik and Taemin Lee and Marek Šuppa and Crystina Zhang and Roberta Rocca and Mohammed Hamdy and Andrianos Michail and John Yang and Manuel Faysse and Aleksei Vatolin and Nandan Thakur and Manan Dey and Dipam Vasani and Pranjal Chitale and Simone Tedeschi and Nguyen Tai and Artem Snegirev and Michael Günther and Mengzhou Xia and Weijia Shi and Xing Han Lù and Jordan Clive and Gayatri Krishnakumar and Anna Maksimova and Silvan Wehrli and Maria Tikhonova and Henil Panchal and Aleksandr Abramov and Malte Ostendorff and Zheng Liu and Simon Clematide and Lester James Miranda and Alena Fenogenova and Guangyu Song and Ruqiya Bin Safi and Wen-Ding Li and Alessia Borghini and Federico Cassano and Hongjin Su and Jimmy Lin and Howard Yen and Lasse Hansen and Sara Hooker and Chenghao Xiao and Vaibhav Adlakha and Orion Weller and Siva Reddy and Niklas Muennighoff},
  publisher = {arXiv},
  journal={arXiv preprint arXiv:2502.13595},
  year={2025},
  url={https://arxiv.org/abs/2502.13595},
  doi = {10.48550/arXiv.2502.13595},
}

@article{muennighoff2022mteb,
  author = {Muennighoff, Niklas and Tazi, Nouamane and Magne, Loïc and Reimers, Nils},
  title = {MTEB: Massive Text Embedding Benchmark},
  publisher = {arXiv},
  journal={arXiv preprint arXiv:2210.07316},
  year = {2022}
  url = {https://arxiv.org/abs/2210.07316},
  doi = {10.48550/ARXIV.2210.07316},
}

Dataset Statistics

Dataset Statistics

The following code contains the descriptive statistics from the task. These can also be obtained using:

import mteb

task = mteb.get_task("MMBrightMathIT2TRetrieval")

desc_stats = task.metadata.descriptive_stats
{
    "test": {
        "num_samples": 151906,
        "num_queries": 39,
        "num_documents": 151867,
        "number_of_characters": 278420468,
        "documents_text_statistics": {
            "total_text_length": 278341365,
            "min_text_length": 50,
            "average_text_length": 1832.796888066532,
            "max_text_length": 2554995,
            "unique_texts": 139179
        },
        "documents_image_statistics": null,
        "documents_audio_statistics": null,
        "documents_video_statistics": null,
        "queries_text_statistics": {
            "total_text_length": 79103,
            "min_text_length": 265,
            "average_text_length": 2028.2820512820513,
            "max_text_length": 9077,
            "unique_texts": 39
        },
        "queries_image_statistics": {
            "min_image_width": 224,
            "average_image_width": 831.6153846153846,
            "max_image_width": 3094,
            "min_image_height": 75,
            "average_image_height": 1264.1538461538462,
            "max_image_height": 10962,
            "unique_images": 39
        },
        "queries_audio_statistics": null,
        "queries_video_statistics": null,
        "relevant_docs_statistics": {
            "num_relevant_docs": 73,
            "min_relevant_docs_per_query": 1,
            "average_relevant_docs_per_query": 1.8717948717948718,
            "max_relevant_docs_per_query": 3,
            "unique_relevant_docs": 73,
            "num_missing_query_ids": 0,
            "num_missing_corpus_ids": 0
        },
        "top_ranked_statistics": {
            "num_top_ranked": 5913971,
            "min_top_ranked_per_query": 150888,
            "average_top_ranked_per_query": 151640.28205128206,
            "max_top_ranked_per_query": 151867
        }
    }
}

This dataset card was automatically generated using MTEB

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