identifier string | collection string | open_type string | curator string | license string | date float64 | title string | creator string | language string | language_type string | word_count int64 | token_count int64 | text string | file string | __index_level_0__ int64 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
https://math.stackexchange.com/questions/3497750 | StackExchange | Open Web | Pleias | CC-By-SA | 2,020 | Stack Exchange | English | Written | 291 | 938 | Abel´s formula solutions of the DE
If $y_{1}$ and $y_{2}$ are linearly independent solutions of the second order DE
${y}''+a_{1}(x){y}'+a_{0}(x)y=0$
on some interval where $a_{1}(x)$ and $a_{0}(x)$ are continuous, show that the Wronskiant satisfies, for some constant $C$.
$W(y_{1},y_{2})(x)=C exp\left [ -\int a_{1}(x... | common_corpus_6/subset_62_7.parquet | null | |
sn85040705_1901-09-19_1_4_1 | US-PD-Newspapers | Open Culture | Pleias | Public Domain | null | None | None | English | Written | 2,923 | 3,898 | The Schley Court of Inquiry How It Is Constituted—Causes Thai Led Up to Its Creation— The Santiago Scandal and Maclay’s Sensational Charges—Unique in Naval or Military History. THE Sampson-Schley court of inquiry, which convened on the second floor of the gunners’| workshop in the Washington navy yard at noon of Septem... | common_corpus_8/subset_10_4.parquet | null |
sn97063063_1863-01-06_1_2_1 | US-PD-Newspapers | Open Culture | Pleias | Public Domain | 1,863 | None | None | English | Written | 6,244 | 9,700 | l : a s t s a"o i nX v7 TlESDAY, .... 1)KCKMUL'U . 3, liCJ Democratic MtuU Convention. A rmo. rutlo Cuvonlin will ,1. held t lMroit, on WVlridaday, the eleventh d.iy f Febru ary, A. I). 1SC4. at elureu o'ctgrk initio fotetmon, iuf purpose 01 utiiuinaiiug a caiiitiUalo lor Jut 4 oe of lha Supreme Court, aud candidate fo... | common_corpus_10/subset_75_3.parquet | null |
7467049_1 | Caselaw Access Project | Open Government | Free-Law | Public Domain | 1,994 | None | None | English | Written | 39 | 81 | In re Guillory, Christopher; Defendant(s) applying for reconsideration of this Court's Action dated September 2, 1994; Parish of Calcasieu, 14th Judicial District Court, No. 5708-93; Court of Appeal, Third Circuit, No. KW94-00171.
Reconsideration denied.
DENNIS, J., not on panel..
| common_corpus_10/subset_75_3.parquet | null |
https://math.stackexchange.com/questions/3824215 | StackExchange | Open Web | Pleias | CC-By-SA | 2,020 | Stack Exchange | Angina Seng, Bonrey, Kavi Rama Murthy, heropup, https://math.stackexchange.com/users/118193, https://math.stackexchange.com/users/142385, https://math.stackexchange.com/users/436618, https://math.stackexchange.com/users/630118 | English | Written | 313 | 738 | For which $x$ does $\lim_{n\to\infty}\frac{nx}{1+n^2x^2}=0$?
For which $x$ does $\lim_{n\to\infty}\frac{nx}{1+n^2x^2}=0$ ?
I just want to know if my solution correct. Here it is:
$$
\lim_{n\to\infty}\frac{nx}{1+n^2x^2}=\lim_{n\to\infty}\frac{x}{\frac{1}{n}+nx^2}=\lim_{n\to\infty}\frac{x}{nx^2}=\lim_{n\to\infty}\frac{1}... | common_corpus_4/subset_31_5.parquet | null |
95552_2008_5 | SEC | Open Government | Pleias | Public Domain | null | None | None | English | Written | 1,713 | 2,502 | Management performed an assessment of the effectiveness of the company’s internal control over financial reporting as of December 31, 2008 based upon criteria established in Internal Control -- Integrated Framework issued by the Committee of Sponsoring Organizations of the Treadway Commission (COSO). Based on their ass... | common_corpus_9/subset_29_10.parquet | null |
https://stackoverflow.com/questions/45814388 | StackExchange | Open Web | Pleias | CC-By-SA | 2,017 | Stack Exchange | Massinissa, filaton, https://stackoverflow.com/users/3441514, https://stackoverflow.com/users/3753366 | English | Written | 547 | 740 | Apache Beam for audio signal/stream processing
I am working on speech-like recognition, thus processing audio signals i.e. applying a bunch of transforms and digital signal processing (DSP) techniques to raw audio signals in order to get valuable representations which are then fed into machine learning algorithms.
My c... | common_corpus_1/subset_19_10.parquet | null |
reasondogmaorfoo00bray_0_10 | English-PD | Open Culture | Pleias | Public Domain | 1,894 | Reason and dogma, or: Footprints of a soul | Bray, Henry Truro, 1846-1922. [from old catalog] | English | Written | 7,398 | 9,408 | (Cicero: De Nat. Deo. ii.ji.) XT OTWITHSTANDING the painful life of Merton, ^ owing to the mental tempests through which his soul was passing, his relations with his people and the citizens of the town were most pleasant. By all he was regarded as a man of purity of life, and of the highest educational at¬ tainments. I... | common_corpus_1/subset_20_8.parquet | null |
sn82014248_1896-05-05_1_5_1 | US-PD-Newspapers | Open Culture | Pleias | Public Domain | 1,896 | None | None | English | Written | 3,209 | 4,827 | OUR STOCK OF SUITS is unusually complete in this spring, and a few dollars will go a good way in furnishing the boy with a stylish and serviceable suit. Prices range from $1.50 to $5.00. Spring Hats are becoming, and they will suit your taste and pocketbook. A large assortment of the most desirable styles. C. H. NASON,... | common_corpus_10/subset_100_9.parquet | null |
bmccancer.biomedcentral.com/articles/10.1186/1471-2407-13-253 | Creative Commons Common Crawl (CCC) | Open Web | AllenAI/CommonPile | CC-By | 2,021 | bmccancer.biomedcentral.com | English | Written | 5,882 | 10,837 | Skip to main content
Antioxidant-mediated up-regulation of OGG1 via NRF2 induction is associated with inhibition of oxidative DNA damage in estrogen-induced breast cancer
Abstract
Background
Estrogen metabolism-mediated oxidative stress is suggested to play an important role in estrogen-induced breast carcinogenesi... | common_corpus_6/subset_20_1.parquet | null |
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