text stringlengths 6 4.81k | source stringlengths 10 123 | tokens int64 5 60 |
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Angelo and Melanie have 2 chapters in their textbook, so they will spend 3 hours x 2 chapters = 6 hours total on chapters. | MetaMathQA | 26 |
Using the three pillars of sustainability as a lens through which to consider the impacts, this review presents the most up-to-date research in this field, revealing a raft of positive and negative impacts. | Semantic Scholar - Review of Online Food Delivery Platforms and their... (2020, 377 cit.) | 33 |
reinhardtii has been actively explored as the live component of biohybrid microrobots for the active delivery of therapeutics. They are biocompatible with healthy mammalian cells, leave no known toxins, mobile in the physiologically relevant media, and allow for surface modification to carry cargo on the cell wall. Alt... | Wikipedia - Biohybrid microswimmer | 52 |
= -18 - 20
-2X | MetaMathQA | 9 |
We are given that a regular polygon has sides of length 5 units and an exterior angle of X degrees. | MetaMathQA | 22 |
For the state of Texas, we estimate that the annual probability of 500 mm of area-integrated rainfall was about 1% in the period 1981–2000 and will increase to 18% over the period 2081–2100 under Intergovernmental Panel on Climate Change (IPCC) AR5 representative concentration pathway 8.5. | Semantic Scholar - Assessing the present and future probability of Hu... (2017, 410 cit.) | 45 |
This is however even more strongly supported by Gottfried Friedlein in the table at the end of the book which summarizes the use of a very extensive set of alternative formats for different values including that of fractions. | Wikipedia - Roman abacus | 38 |
Each step has three blocks of stone, and Clara has climbed past 96 blocks in total. | MetaMathQA | 18 |
Lately, methods have been developed to address the aforementioned challenges and present satisfactory explanations on Natural Language Processing (NLP) models. | Semantic Scholar - On the Explainability of Natural Language Processi... (2022, 82 cit.) | 20 |
Regional climate models are important research tools available to scientists around the world, including in economically developing nations (EDNs). | Semantic Scholar - Regional Climate Modeling for the Developing World... (2007, 955 cit.) | 19 |
The Etruscan cameo and the Greek predecessors, such as the Salamis Tablet and the Darius Vase, give us a good idea of what it must have been like, although no actual specimens of the true Roman counting board are known to be extant. | Wikipedia - Roman abacus | 43 |
The most common or simplest structural element subjected to bending moments is the beam. | Wikipedia - Glossary of engineering: A–L | 14 |
Effectively, Ionic liquids, among a unique set of chemical and physical properties (Chauvin, 1996; Chauvin & Mussmann 1995; Seddon, 1997), have no measurable vapor pressure, which lends them as ideal replacements for volatile, conventional organic solvents. | Semantic Scholar - Advanced Applications of Ionic Liquids in Polymer ... (2011, 155 cit.) | 36 |
We further demonstrate that RAD significantly improves test-time generalization over existing methods on several OpenAI ProcGen benchmarks. Our RAD module and training code are available at this https URL. | Semantic Scholar - Reinforcement Learning with Augmented Data... (2020, 657 cit.) | 29 |
Edmund uses 18 inches of gift wrapper per gift box, and he has 90 inches of gift wrapper per day. | MetaMathQA | 23 |
Let T be observations from a univariate Gaussian distribution and O a point from T. Then the z-score for O is greater than a pre-selected threshold if and only if O is an outlier. | Wikipedia - Anomaly detection | 34 |
(Number of boxes of red crayons * Number of red crayons per box) | MetaMathQA | 19 |
The remaining one-third are girls, so there are 96 * (1/3) | MetaMathQA | 18 |
If the tensile applied load exceeds twice the preload, the clamped parts separate, and the bolt carries the entire load. Conversely, if the compressive load is lower than twice the preload, separation at the bolt head occurs, and the force in the bolt is zero. | Wikipedia - Bolted joint | 45 |
Dividing both sides by 3, we find that x = 24 / 3 = 8. | MetaMathQA | 19 |
The sum of the interior angles of an $n$-sided polygon is $180(n-2)$ degrees. | MetaMathQA | 26 |
To solve this problem, we need to determine the value of x, which represents the number of hats Kendra bought. | MetaMathQA | 24 |
Paramagnetismis a form of magnetism whereby some materials are weakly attracted by an externally applied magnetic field, and form internal, induced magnetic fields in the direction of the applied magnetic field. In contrast with this behavior, diamagnetic materials are repelled by magnetic fields and form induced magne... | Wikipedia - Glossary of engineering: M–Z | 59 |
We are given that the total number of hours is 18, so we can write: x + (x - 2) + 2x + (2x - 4) = 18. | MetaMathQA | 37 |
It focuses on structural and behavioral properties that constitute the intelligent power of autonomous systems. It explains how system intelligence aggregates from reflexive, imperative, adaptive intelligence to autonomous and cognitive intelligence. | Semantic Scholar - Towards a theoretical framework of autonomous syst... (2021, 22 cit.) | 31 |
Since the first number is 319, the 25th number is $319 + 24 = 343$. | MetaMathQA | 19 |
The initial wall had 3 layers of bricks, and each layer consisted of 400 bricks, so the initial wall had 3 * 400 = 1200 bricks. | MetaMathQA | 29 |
We discuss the broad potential of RSA, including novel approaches to experimental design, and argue that these ideas, which have deep roots in psychology and neuroscience, will allow the integrated quantitative analysis of data from all three branches, thus contributing to a more unified systems | Semantic Scholar - Representational Similarity Analysis – Connecting ... (2008, 2758 cit.) | 45 |
One example is the widespread application of the pesticide DDT to control agricultural pests in the years following World War II. The story of DDT as vividly told in Rachel Carson's Silent Spring (1962) is considered to be the birth of the modern environmental movement, which led to the modern field of "environmental e... | Wikipedia - Environmental engineering | 54 |
Attention is a machine learning method that determines the importance of each component in a sequence relative to the other components in that sequence. In natural language processing, importance is represented by "soft" weights assigned to each word in a sentence. | Wikipedia - Attention (machine learning) | 41 |
He is a national award-winning science communicator and has extensively worked in the popularization of astronomy education in India. He also served as the Policy and Diplomacy Advisor to United Nations International Computation Centre and Member Secretary (Policy, Transdisciplinary Disruptive Science, and Communicatio... | Wikipedia - Pranav Sharma | 45 |
A right square pyramid with base edges of length $8\sqrt{2}$ units each and slant edges of length 10 units each is cut by a plane that is parallel to its base and 3 units above its base. | MetaMathQA | 47 |
Gentleman R: R: A language for data analysis and graphics | Semantic Scholar - Gentleman R: R: A language for data analysis and g... (1996, 11197 cit.) | 10 |
_{2}&\nu \end{pmatrix}}=\xi _{2}{\begin{pmatrix}{\mu _{1}}^{*}&{\mu _{2}}^{*}&{\gamma }^{*}\\\nu _{1}&\nu _{2}&\nu \end{pmatrix}}} Where ξ 2 = ξ 2 ( μ 1 , μ 2 , γ ) = ± 1 {\displaystyle \xi _{2}=\xi _{2}(\mu _{1},\mu _{2},\gamma )=\pm 1} . | Wikipedia - Clebsch–Gordan coefficients for SU(3) | 36 |
According to a study examining these emissions reductions, "there is a significant potential for emissions reductions through the [UNFCCC] Clean Development for such fuel switching projects."
Technologies are also in development to reduce some of the 133,000 metric tons of particulate matter emitted each year from ship... | Wikipedia - Black carbon | 47 |
As of 2024, the Society has members from 13 countries, most of them in Latin America. Together with SEAC (Société Européenne pour l'Astronomie dans la Culture) and ISSAC (International Society for Archaeoastronomy and Astronomy in Culture), SIAC is one of the three international associations of cultural astronomy. SIAC... | Wikipedia - La Sociedad Interamericana de Astronomía en la Cultura | 60 |
This in turn augments the external electroluminescence quantum efficiency to values of about 0.5%, a record for perovskite photovoltaics approaching that of the best silicon solar cells. Correspondingly, the open-circuit photovoltage reaches 1.18 V under AM 1.5 sunlight. | Semantic Scholar - Efficient luminescent solar cells based on tailore... (2016, 1656 cit.) | 38 |
A further prediction performance analysis reveals that the proposed algorithm provides the highest prediction accuracy for the Whole Tumor under DSC (Dice Similarity Coefficient), reaching 0.936. Besides, its Jaccard coefficient is 0.845, proving its superior segmentation accuracy over other models. | Semantic Scholar - Fuzzy System Based Medical Image Processing for Br... (2021, 259 cit.) | 40 |
H ^ 2 = − ∑ i > j q i q j 2 r i j m i m j c 2 [ p ^ i ⋅ p ^ j + ( r i j ⋅ p ^ i ) ( r i j ⋅ p ^ j ) r i j 2 ] {\displaystyle {\hat {H}}_{2}=-\sum _{i>j}{\frac {q_{i}q_{j}}{2r_{ij}m_{i}m_{j}c^{2}}}\left[\mathbf | Wikipedia - Breit equation | 60 |
Dividing both sides of the equation by 3, we get:
$X = 4$
The value of X is 4. | MetaMathQA | 28 |
To find the remainder when the sum of the three integers is divided by 12, we need to determine the value of $X$.
Let's consider the remainders individually:
The first positive integer has a remainder of 7 when divided by 12. | MetaMathQA | 53 |
Following a review of the theory of semidefinite programming, the book proceeds to describe how it can be used to address a wide range of important problems from across quantum information science. | Semantic Scholar - Semidefinite Programming in Quantum Information Sc... (2023, 40 cit.) | 32 |
To make 6 cloaks, he will need 3 yards/cloak * 6 cloaks = 18 yards of velvet. | MetaMathQA | 24 |
This can be done in $\binom{7}{2} = \frac{7!}{2!5!} | MetaMathQA | 25 |
It is called Euclidean division, and possesses the following important property: given two integers a and b with b ≠ 0, there exist unique integers q and r such that a = q × b + r and 0 ≤ r < |b|, where |b| denotes the absolute value of b. | Wikipedia - Integer | 51 |
Q {\displaystyle {\text{DF}}={\frac {i^{2}{\text{ESR}}}{i^{2}\left|X_{c}\right|}}=\omega C\,{\text{ESR}}={\frac {\sigma }{\varepsilon \omega }}={\frac {1}{Q}}} When representing the electrical circuit parameters as vectors in a complex plane, known as phasors, a capacitor's dissipation factor is equal to the tangent of... | Wikipedia - Dissipation factor | 53 |
Although organic photovoltaic (OPV) cells have many advantages, their performance still lags far behind that of other photovoltaic platforms. | Semantic Scholar - Organic and solution-processed tandem solar cells ... (2018, 2151 cit.) | 19 |
Cheryl initially placed 300 strawberries into 5 buckets, so there were 300/5 = 60 strawberries in each bucket. | MetaMathQA | 24 |
Jackson had 70 old emails deleted from his inbox. | MetaMathQA | 10 |
The lightest elements are hydrogen and helium, both created by Big Bang nucleosynthesis in the first 20 minutes of the universe in a ratio of around 3:1 by mass (or 12:1 by number of atoms), along with tiny traces of the next two elements, lithium and beryllium. | Wikipedia - Chemical element | 47 |
It is hypothesized that this musical enculturation depends on two cognitive processes: (1) statistical learning, in which listeners acquire internal cognitive models of statistical regularities present in the music to which they are exposed; and (2) probabilistic prediction based on these learned models that enables | Semantic Scholar - Statistical learning and probabilistic prediction ... (2018, 145 cit.) | 45 |
We also know that $X$ dogs like both salmon and watermelon. | MetaMathQA | 15 |
Sedimentary records are influenced by local topography and oceanic and atmospheric currents. Proxies of global climatic significance are, however, less ambiguous in paleotemperature interpretation. Marine biota have offered by far the most proxies for paleotemperature, of which the microfossils, because of their widesp... | Wikipedia - Global Paleoclimate Indicators | 56 |
If you tell me "it is possible that it is raining outside" – in the sense of epistemic possibility – then that would weigh on whether or not I take the umbrella. | Wikipedia - Modal logic | 32 |
There is significant literature on approaches to mitigate bias and promote fairness, yet the area is complex and hard to penetrate for newcomers to the domain. | Semantic Scholar - Fairness in Machine Learning: A Survey... (2020, 625 cit.) | 26 |
His mother gave him five boxes with eight baseball cards, so he received 5 * 8 = 40 baseball cards. | MetaMathQA | 22 |
On the last pass, 95% of the attention weight is on the second English word love, so it offers aime. In the I love you example, the second word love is aligned with the third word aime. Stacking soft row vectors together for je, t', and aime yields an alignment matrix:
Sometimes, alignment can be multiple-to-multiple. | Wikipedia - Attention (machine learning) | 56 |
Human activities play an important role in both carbon and nitrogen cycles: the burning of fossil fuels has displaced carbon from the lithosphere to the atmosphere, and the use of fertilizers has vastly increased the amount of available fixed nitrogen. | Wikipedia - Climate system | 40 |
Since the point is a distance of 10 units from the point (1,6), the distance between the two points must be 10. | MetaMathQA | 27 |
The observation that subtracting 2A from c2 yields (b − a)2 need only be augmented by a geometric rearrangement of areas corresponding to a2, b2, and −2A = −2ab to obtain rearrangement proof of the rule, one which is well known in modern times and which is also suggested in the third century CE in Zhao Shuang's comment... | Wikipedia - IM 67118 | 60 |
Quantum computing (QC) is an emerging paradigm with the potential to offer significant computational advantage over conventional classical computing by exploiting quantum‐mechanical principles such as entanglement and superposition. | Semantic Scholar - Quantum computing: A taxonomy, systematic review a... (2020, 271 cit.) | 28 |
Our experiment demonstrates that, in addition to having an increased information capacity, multilevel QKD systems based on spatial-mode encoding can be more resilient against intercept-resend eavesdropping attacks. | Semantic Scholar - High-dimensional quantum cryptography with twisted... (2014, 601 cit.) | 27 |
Cost per day: $\$$25
Number of days rented: 4
Number of miles driven: 400
Total cost: $\$$180
We can set up the equation as follows:
(Number of days rented * Cost per day) + | MetaMathQA | 50 |
A number is divisible by 9 if and only if the sum of its digits is divisible by 9. | MetaMathQA | 22 |
¯ 4 4 ¯ | ) {\displaystyle \phi _{11}={\frac {1}{\sqrt {2}}}(|1{\overline {2}}4{\overline {4}}|+|2{\overline {1}}4{\overline {4}}|)} | Wikipedia - Chirgwin–Coulson weights | 15 |
While less rhodium than ruthenium and palladium is formed (around 3.6% yield), the mixture of fission products still contains a significant amount of this metal. Due to the high prices of ruthenium, rhodium, and palladium, some work has been done on the separation of these metals to enable them to be used at a later da... | Wikipedia - Fission products (by element) | 56 |
= -4 + 40$
$X = 36$
The value of $X$ is 36. | MetaMathQA | 22 |
The magnetic compass existed in China back as far as the fourth century BC. It was used as much for feng shui as for navigation on land. It was not until good steel needles could be forged that compasses were used for navigation at sea; before that, they could not retain their magnetism long enough to be useful. | Wikipedia - Geophysics | 58 |
Gardner, American statistician associated with GE Global Research Joan Garfield, American educational psychologist specializing in statistics education Élisabeth Gassiat (born 1961), French mathematical statistician Ursula Gather (born 1953), German robust statistician, rector of TU Dortmund Geneviève Gauthier (born 19... | Wikipedia - List of women in statistics | 60 |
A growing area of focus is the development of asymmetric catalysis of cascade processes by employing chiral organocatalysts or chiral transition-metal complexes. Classification of cascade reactions is sometimes difficult due to the diverse nature of the many steps in the transformation. K. C. | Wikipedia - Cascade reaction | 43 |
= \tan (-45^\circ)$.
Since $\tan$ is an odd function, $\tan (-45^\circ) = -\tan 45^\circ = -1$. | MetaMathQA | 40 |
Since each student has x hands, we can set up the equation as follows:
10 students * x hands per student = 20 hands
Let's simplify and solve for x:
10x | MetaMathQA | 39 |
Slovak - translations by the Lepšia Geografia (Better Geography) Project. Bratislava, Slovakia
Chinese (Mandarin) - translations by members of the Geoidea team. Tamil - one translation so far by a member of Arul Anandar College, Tamil Nadu, India. | Wikipedia - Earth Learning Idea | 38 |
Since he only has $10 bills, he needs to use $36 / $10 = 3.6, or 4 $10 bills to pay. | MetaMathQA | 30 |
Following the idea of the motivation of classical integrals, some of the properties of classical integrals hold in h-integral. This notion has broad applications in numerical analysis, and especially finite difference calculus. | Wikipedia - Quantum calculus | 32 |
μ
a
=
μ
0
(
1
−
0.5
k
... | Wikipedia - Hemorheology | 53 |
In the above theorem, each of the four integers has a name of its own: a is called the dividend, b is called the divisor, q is called the quotient and r is called the remainder. | Wikipedia - Euclidean division | 36 |
Classical mechanics predicted that the speed of light depends on the motion of the observer, which could not be resolved with the constant speed predicted by Maxwell's equations of electromagnetism. This discrepancy was corrected by Einstein's theory of special relativity, which replaced classical mechanics for fast-mo... | Wikipedia - Physics | 55 |
Neutral atom quantum computing hardware: performance and end-user perspective | Semantic Scholar - Neutral atom quantum computing hardware: performan... (2023, 75 cit.) | 9 |
Battery Technologies for Grid-Level Large-Scale Electrical Energy Storage | Semantic Scholar - Battery Technologies for Grid-Level Large-Scale El... (2020, 178 cit.) | 8 |
Endogeny, in biology, refers to the property of originating or developing from within an organism, tissue, or cell. For example, endogenous substances, and endogenous processes are those that originate within a living system (e.g. an organism or a cell). | Wikipedia - Endogeny (biology) | 39 |
Backer was widely published, particularly concerning population statistics and medical-statistical topics. (1947) Population Statistics and Population Registration in Norway. Part I. The Vital Statistics of Norway: an Historical Review, Population Studies, 1(2), 212-226
(1948) Population statistics and population regis... | Wikipedia - Julie E. Backer | 41 |
ChatGPT allows users to enter text prompts and rapidly generates text responses drawn from its knowledge acquired via machine learning in engagement with the internet. This essay is coauthored by a human journalism and media professor in collaboration with ChatGPT. | Semantic Scholar - Collaborating With ChatGPT: Considering the Implic... (2023, 601 cit.) | 40 |
Del picked 23 oranges on each of x days, which means he picked a total of 23*x oranges. | MetaMathQA | 22 |
= -4k - 7$ and $0 = -4k$.
Since $0 = -4k$, we know that $k = \boxed{0}$. | MetaMathQA | 37 |
Metabolomics is an emerging field that quantifies numerous metabolites systematically. The key purpose of metabolomics is to identify the metabolites corresponding to each biological phenotype, and then provide an analysis of the mechanisms involved. | Semantic Scholar - Guide to Metabolomics Analysis: A Bioinformatics W... (2022, 146 cit.) | 34 |
Tim's website received 100 visitors per day for the first 6 days, so he received a total of 100 visitors/day x 6 days = 600 visitors in those 6 days. | MetaMathQA | 35 |
We first introduce the theoretical basis, models, and challenges of blockchain consensus protocols. Then, we present the existing blockchain protocols in the categories of proof-based protocols, committee-based protocols, and other miscellaneous protocols. | Semantic Scholar - A Survey of Blockchain Consensus Protocols... (2023, 144 cit.) | 32 |
The 5-day test protocol with acceptably reproducible results emphasizing carbonaceous BOD has been endorsed by the United States Environmental Protection Agency (EPA). This 5-day BOD test result may be described as the amount of oxygen required for aquatic microorganisms to stabilize decomposable organic matter under a... | Wikipedia - Biochemical oxygen demand | 47 |
Escape sequences are not interpreted; hence raw strings are useful where literal backslashes are common, such as in regular expressions and Windows-style paths. (Compare "@-quoting" in C#.)
Python has array index and array slicing expressions in lists, which are written as a[key], a[start:stop] or a[start:stop:step]. I... | Wikipedia - Python (programming language) | 56 |
To see this, consider two objects with m ≠ M {\displaystyle m\neq M} ; then we have: μ ( a m a 0 ) m a m = G M m r 2 = G M m r 2 = μ ( a M a 0 ) M a M {\displaystyle \mu \left({\frac {a_{m}}{a_{0}}}\right)ma_{m}={\frac {GMm}{r^{2}}}={\frac {GMm}{r^{2}}}=\mu \left({\frac {a_{M}}{a_{0}}}\right)Ma_{M}} but the | Wikipedia - AQUAL | 60 |
The Comparative Toxicogenomics Database (CTD) is a public website and research tool that curates scientific data describing relationships between chemicals, genes/proteins, diseases, taxa, phenotypes, GO annotations, pathways, and interaction modules, launched on November 12, 2004. The database is maintained by the Dep... | Wikipedia - Comparative Toxicogenomics Database | 50 |
Graph theory can be applied to ecological questions in many ways, and more insights can be gained by expanding the range of graph theoretical concepts applied to a specific system. But how do you know which methods might be used? | Semantic Scholar - Applying Graph Theory in Ecological Research... (2017, 33 cit.) | 40 |
SIPS provides visualization tools for rapid exploratory analysis and numerical tools for quantitative modeling. The user interface is X‐windows‐based, user friendly, and provides ‘‘point and click’’ operation. | Semantic Scholar - The Spectral Image Processing System (SIPS) - Inte... (1993, 3076 cit.) | 27 |
There were no precedents to follow in building the Key West Extension, especially the Seven Mile Bridge portion, for nothing like it had ever been attempted before—or has been since. Coe developed methods of construction to meet untried conditions, and those methods proved successful. | Wikipedia - Clarence S. Coe | 44 |
In the 2nd grade, there are 10 boys and x girls, so the total number of students in the 2nd grade is 10 + x. | MetaMathQA | 30 |
Bioceramics and bioglasses are ceramic materials that are biocompatible. Bioceramics are an important subset of biomaterials. Bioceramics range in biocompatibility from the ceramic oxides, which are inert in the body, to the other extreme of resorbable materials, which are eventually replaced by the body after they hav... | Wikipedia - Bioceramic | 58 |
The total number of oranges produced by all three groves is 66,000 + 44,000 + 55,000 = 165,000 oranges. | MetaMathQA | 29 |
On his 15th birthday, he doubles the number of trees he has, so he will have 28 * 2 = 56 trees. | MetaMathQA | 26 |
After buying the cheese and beef, he has $61 left. | MetaMathQA | 13 |
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