fschieber/wit-captions huggingface dataset:
Bei beschränkten Folgen liegen für jedes 
  
    
      
        ϵ
        >
        0
      
    
    {\displaystyle \epsilon >0}
  
 fast alle Folgenglieder im offenen Intervall 
  
    
      
        (
        
          lim inf
          
            n
            →
            ∞
          
        
        
          x
          
            n
          
        
        −
        ϵ
        ,
        
          lim sup
          
            n
            →
            ∞
          
        
        
          x
          
            n
          
        
        +
        ϵ
        )
      
    
    {\displaystyle (\liminf _{n\rightarrow \infty }x_{n}-\epsilon ,\limsup _{n\rightarrow \infty }x_{n}+\epsilon )}
  
.
Ricostruzione a scala completa di una imbarcazione di pattuglia del fiume romana del IV secolo (lusoria), probabilmente sotto il comando del dux della provincia di Germania I. E' basata sui resti di una delle cinque imbarcazioni da fiume tardo romane rinvenute a Moguntiacum agli inizi degli anni 1980. L'imbarcazione, denotata Mainz Type A, ha una forma lunga (22 m) e stretta (2,8 m) per renderla più veloce e una chiglia arrotondata per permettere l'accesso ad acque poco profonde. Poteva trasportare fino a 32 marinai, che remavano l'imbarcazione (32 remi, 16 per lato). Mentre erano a bordo, i soldati disponevano di scudi per difendersi da armi gettate dalle rive del fiume. Museum für Antike Schifffahrt, Magonza, Germania.
Deutsch: Rekonstruktion eines römischen Navis lusoria im Museum für Antike Schifffahrt in Mainz (Deutschland). Français : Reconstruction d'un Navis lusoria, petite galère romaine dans le musée de la navigation antique de Mayence. La marine romaine utilise ce type de navire pour sa flottille du Rhin.
A : Gaz comprimé
tension de vapeur absolue à 50 °C = 2 070 kPa
B1 : Gaz inflammable 
limite d'inflammabilité - gamme de concentration = 13 %
D1A : Matière très toxique ayant des effets immédiats graves
létalité aiguë : CL50 inhalation/4 heures (souris) = 2 115 ppm
E : Matière corrosive
Transport des marchandises dangereuses : classe 8

Divulgation à 1,0 % selon la liste de divulgation des ingrédients
Commentaires : Tel que présenté dans l'interprétation d'une politique de Santé Canada, le symbole de danger D1 (tête de mort) n'a pas à apparaître sur l'étiquette du fournisseur. Cependant, tous les dangers pour la santé et la sécurité que présentent ce produit doivent être divulgués sur l'étiquette et la fiche signalétique.
Cryo-EM reconstruction of the CroV virion and capsomer arrangements of other giant icosahedral viruses. (A) Reconstruction of the CroV capsid. The isosurface of the map was colored by pentasymmetrons (purple) and trisymmetrons (blue, red, green, cyan and orange). One of the 30 edges of the icosahedron is marked by a cyan line. Two surface areas (a,b) are magnified and selected capsomers are labeled by yellow triangles to show their orientations. (B–E) Isolated icosahedral faces of CroV, PBCV-1, CIV and PpV01 capsids are shown schematically. Their T-numbers, asymmetric unit capsomer numbers, and trisymmetron capsomer numbers are listed. 5-fold, 3-fold, and 2-fold symbols are indicated in red and ASUs are outlined in blue.
English: Cryo-EM reconstruction of the CroV virion and capsomer arrangements of other giant icosahedral viruses. (A) Reconstruction of the CroV capsid. The isosurface of the map was colored by pentasymmetrons (purple) and trisymmetrons (blue, red, green, cyan and orange). One of the 30 edges of the icosahedron is marked by a cyan line. Two surface areas (a,b) are magnified and selected capsomers are labeled by yellow triangles to show their orientations. (B–E) Isolated icosahedral faces of CroV, PBCV-1, CIV and PpV01 capsids are shown schematically. Their T-numbers, asymmetric unit capsomer numbers, and trisymmetron capsomer numbers are listed. 5-fold, 3-fold, and 2-fold symbols are indicated in red and ASUs are outlined in blue.
Imagen de radar tomada por el satélite GOES (Satélite geoestacionario) el 5 de febrero de 2013, mostrando el hemisferio occidental (América y partes de los océanos Atlántico y Pacífico). Puede notarse la importante diferencia con la imagen anterior en el trazado de las corrientes marinas. Como podemos ver, la corriente meridional del Pacífico Sur (visible en el cinturón nuboso procedente de la zona intertropical del Pacífico)  se dirige hacia el sur del continente americano terminando bruscamente en las costas y parte insular de Chile por el efecto orográfico del relieve: elevada nubosidad y lluvias o nevadas muy intensas. No existe conexión entre esta corriente y la de Humboldt que es de aguas frías  y cielos sin nubes.
English: Satellite Image from the Western Hemisphere taken on Feb-05-2013
This Old Persian cuneiform word, because of its numerous occurrences in  inscriptions, was correctly guessed as being the word for "King". The words positionned before it would then logically be the names of kings, which were known historically from other sources. Various characteristics of these words, such as length or recurrence of signs, allowed to discriminate between the various possible kings, and then create a correspondence between each cuneiform and a specific sound. This technique permitted the decipherment of a cuneiform script for the first time, in the absence of bilingual documents connecting it to a known language. This word is now known to be pronounced xšāyaϑiya (𐎧𐏁𐎠𐎹𐎰𐎡𐎹), and indeed means "King".[1][2]
English: Old Persian for King
Their mouth and gill openings are situated on the ventral surface of the head (top right). In the most primitive forms, such as the Silurian genus Hanyangaspis (top), the median dorsal inhalent opening is broad and situated anteriorly. In other galeaspids, it is more posterior in position and can be oval, rounded, heart-shaped or slit-shaped. In some Devonian galeaspids, such as the hunanaspidiforms Lungmenshanaspis (middle) and Sanchaspis (bottom right), the headshield is produced laterally and anteriorly into slender processes. The eugaleaspidiforms, such as Eugaleaspis (bottom left) have a horseshoe-shaped headshield and a slit-shaped median dorsal opening, which imitates the aspect of the headshield of osteostracans.
English: Galeaspids are known from the Silurian and Devonian of China and Vietnam. They are characterized by a large, median dorsal inhalent opening and a scallopped pattern of the sensory-lines. Their mouth and gill openings are situated on the ventral surface of the head (top right). In the most primitive forms, such as the Silurian genus Hanyangaspis (top), the median dorsal inhalent opening is broad and situated anteriorly. In other galeaspids, its is more posterior in position and can be oval, rounded, heart-shaped or slit-shaped. In some Devonian galeaspids, such as the hunanaspidiforms Lungmenshanaspis (middle) and Sanchaspis (bottom right), the headshield is produced laterally and anteriorly into slender processes. The eugaleaspidiforms, such as Eugaleaspis (bottom left) have a horseshoe-shaped headshield and a slit-shaped median dorsal opening, which mimates the aspect of the headshield of osteostracans.
Bagian atas gambar ini menyajikan fungsi kepekatan peluang (probability density function) yang sumbu tegaknya (tidak digambarkan) merupakan peluang kejadian bagi "benarnya" nilai-duga persentase 50% sebagaimana tertulis di sumbu datar. Bagian bawah gambar memperlihatkan berbagai selang kepercayaan untuk tingkat kepercayaan 95% (garis-garis datar berbeda warna) beserta batas-batas kesalahan (kiri) dan ukuran cuplikan (kanan) yang bersesuaian. Dengan perkataan lain, untuk tiap ukuran cuplikan, seseorang percaya sebesar 95% bahwa persentase asli (yang diduga oleh cuplikan) berada di dalam kisaran yang ditunjukkan oleh garis yang sesuai. Tampak bahwa semakin besar ukuran cuplikan yang diambil, semakin sempit batas kesalahan.
English: This is a visualization of the margin of error. I made this image myself.
Рис. 1. Разработка и использование кальций-чувствительных электродов. (а) Разность потенциалов ECa2+, имеющаяся на границе кальций-селективной мембраны, по отношению к потенциалу сравнения E0 как результат различной активности кальция в изучаемой жидкости, as, и в пространстве электрода, af. (б) Схема микроэлектродного анализа для измерения активности кальция в способной к возбуждению клетке с мембранным потенциалом Em. Активность измеряется путем сравнения потенциалов, находящихся на двух электродах: тетрафенилфосфоний-оксонольном кальциевом сенсоре (E1) и измеряющим обычное напряжение (E2). (в) Теоретически ожидаемая калибровочная зависимость по уравнению Нернста, в которой при pCa = 3 наблюдается отсутствие потенциала
Русский: Разработка и использование кальций-чувствительных электродов. (а) Разность потенциалов ECa2+, имеющаяся на границе кальций-селективной мембраны, по отношению к потенциалу сравнения E0 как результат различной активности кальция в изучаемой жидкости, as, и в пространстве электрода, af. (б) Схема микроэлектродного анализа для измерения активности кальция в способной к возбуждению клетке с мембранным потенциалом Em. Активность измеряется путем сравнения потенциалов, находящихся на двух электродах: тетрафенилфосфоний-оксонольном кальциевом сенсоре (E1) и измеряющим обычное напряжение (E2). (в) Теоретически ожидаемая калибровочная зависимость по уравнению Нернста, в которой при pCa = 3 наблюдается отсутствие потенциала.
如圖所示，大小為 
  
    
      
        
          30
          
            ∘
          
        
      
    
    {\displaystyle 30^{\circ }}
  
和 
  
    
      
        
          45
          
            ∘
          
        
      
    
    {\displaystyle 45^{\circ }}
  
的整數倍的
  
    
      
        θ
      
    
    {\displaystyle \theta }
  
角和它們的精確正弦和餘弦值已被標註在單位圓上。
  
    
      
        θ
      
    
    {\displaystyle \theta }
  
角均用弧度制和角度制表示。
  
    
      
        θ
      
    
    {\displaystyle \theta }
  
角所對應的單位圓上的點的坐標為（
  
    
      
        cos
        ⁡
        θ
      
    
    {\displaystyle \cos \theta }
  
，
  
    
      
        sin
        ⁡
        θ
      
    
    {\displaystyle \sin \theta }
  
）。
Kommunikationsschema[1]. Der erste Sprecher, emisor, (erstes Subjekt, Su1) versprachlicht, mensaje, z. B. seine erwünschten, vorgestellten, gewähnten oder auch nur vermuteten Vorstellungen usw.[2] des (vermeintlich) Nicht-Wirklichen (als das erste Prädikat, Pr1) in einem Satz dergestalt, dass der Adressat, receptor, der Nachricht (zweites Subjekt, Su2) z. B. zum entsprechenden Handeln (durch das zweite Prädikat, Pr2, im Modus des subjuntivo) veranlasst werden soll. Zwischen beiden Satzteilen wird eine (unterordnende) Konjunktion, conjunción subordinante, oder ein Adverb eingefügt. – Beispielssatz: Beatriz quiere que José compre el coche. Beatriz möchte, dass José kaufe das Auto. Su1 + Pr1 + Konjunktion/Adverb + Su2 + Pr2
Español: Esquema de comunicación ideado por la Escuela Invisible (Escuela de Palo Alto)
Kostel Božího těla a loretánská kaple u Slavonic. „Ve Vratěníně u Jemnice býval v letech 1687 - 1814 klášter bosých mnichů poustevníků Augustiniánů a v jejich kostele se již před rokem 1699 nalézala Loretánská kaple, ke které prý putovalo velké množství věřících. Když klášter v roce 1814 zanikl, bylo jeho zařízení rozdáno a slavoničtí farníci, díky faráři Josefu Grossovi, si vyprosili sochu Panny Marie Loretánské včetně oltáře a roku 1820 vše převezli do Slavonic do farního kostela. Během léta téhož roku byla kaple při chrámu Božího Těla dokončena a po instalaci loretánského oltáře slavnostně vysvěcena. Podobně jako v Loretě v Itálii se i zde koná 10. prosince velká mariánská slavnost.“ (Citace z knihy Karla Eichlera[13]
Čeština: Kostel Božího Těla ve Slavonicích
Sulfat de praseodimi(III)—aigua(1/8) 
  
    
      
        
          
            Pr
            
              2
            
            
              
            
          
          
            
              (
              
                SO
                
                  4
                
                
                  
                
              
              )
            
            
              3
            
            
              
            
          
          ⋅
          8
          
          
            H
            
              2
            
            
              
            
          
          O
        
      
    
    {\displaystyle {\ce {Pr2(SO4)3*8H2O}}}
English: Petri dish containing crystals of praseodymium sulphate octahydrate, crystallised from solution at room temperature.
Aufbau der Ektodomäne des HA: Die Röntgenkristallstruktur der Ektodomäne des Hämagglutinins ist in a) dargestellt. Die drei Monomere sind blau, grün und rot abgebildet. In b) ist ein Monomer dargestellt. Es besteht aus den Untereinheiten HA1 (blau) und HA2 (grün). Im Cartoon des Monomers in c) ist die HA1-Untereinheit blau, die HA2-Untereinheit grün und rot dargestellt. Der rote Abschnitt der HA2-Untereinheit stellt das sogenannte Fusionspeptid dar. Die HA1 und die HA2-Untereinheit werden über eine Disulfidbrücke miteinander verknüpft, die im Cartoon gelb dargestellt ist. Der Abschnitt der HA2-Untereinheit, der die beiden großen α-Helices (als Rechtecke dargestellt) miteinander verknüpft, wird als Loop-Region bezeichnet.
Deutsch: Die Ektodomäne des Influenzavirusproteins Hämagglutinin als Homotrimer, als Monomer und das Monomer als Cartoon
Hình ảnh từ vệ tinh này rộng 800 km. Khu vực màu xanh lục về phía trên mé trái, chứa vài hồ nhỏ và có ranh giới bởi các đỉnh núi đầy băng tuyết của dãy núi Sayan Đông ở phía bắc, là đầu nguồn của Bolshoi Yenisei (Yenisei Lớn) ở Tuva. Thung lũng Darhat khô cằn ở phía tây hồ Khövsgöl ở trung tâm của hình là nguồn của Malyy Yenisei (Yenisei Nhỏ). Hai nhánh sông này chảy tới chỗ hợp lưu tại Kyzyl ở mé trái của hình.  Hồ Baikal ở bên phải hình và sông Angara chảy theo hướng bắc từ Irkutsk có thể thấy rõ. Nó được mở rộng do đập nước tại Bratsk 200 km xa hơn nữa về phía bắc. Sông Selenga, đầu nguồn của nó bao gồm hồ Khövsgöl, chảy vào hồ Baikal trong châu thổ ở rìa củat hình. Sông Lena có đầu nguồn ở mé trên bên phải của hình.
English: Satellite image. Lake Khövsgöl (bottom center, Mongolia), Lake Baikal, and the Sayan Mountains (Russia)
Il gruppo fondamentale di un toro è 
  
    
      
        
          Z
        
        ×
        
          Z
        
      
    
    {\displaystyle \mathbb {Z} \times \mathbb {Z} }
  
: i due generatori 
  
    
      
        a
      
    
    {\displaystyle a}
  
 e 
  
    
      
        b
      
    
    {\displaystyle b}
  
, corrispondenti a 
  
    
      
        (
        1
        ,
        0
        )
      
    
    {\displaystyle (1,0)}
  
 e 
  
    
      
        (
        0
        ,
        1
        )
      
    
    {\displaystyle (0,1)}
  
, sono mostrati in figura. La scelta del punto base 
  
    
      
        p
      
    
    {\displaystyle p}
  
 è ininfluente perché il toro è connesso.
Le front en juillet 1936. Bien préparée, l’insurrection nationaliste, partie du Maroc espagnol se diffuse à d’autres garnisons de la péninsule et Franco prend le commandement de l’armée. La Navarre, le León et la Vieille Castille se rallient presque sans combats. L’Andalousie tombe du fait de la prise de positions des autorités. Mais l’insurrection ne rallie pas la marine et l’aviation de guerre, puis échoue devant la résistance populaire au Pays basque, aux Asturies, en Catalogne et à Madrid[111], conduite par les organisations ouvrières révolutionnaires organisées en comités (appel de Dolores Ibárruri, la Pasionaria, dès le 19 juillet : « ¡No pasarán! »). Débuts de la terreur rouge et de la terreur blanche en Espagne.
English: Modification of File:GCE frente en jul 1936.svg with information of File:VictorHurtado-LaSublevacion-MapaFinal.jpg
Excerpt from the book "Llibre dels fets" of James I, where he talks about an embassy sent to the great khan by means of Jayme Alaric, with two Mongol ambassadors returning to his court:

E nós que érem en ualencia uench-nos Jacme Alarich ab los tartres e altre missatge de Grècia que y havia, e dixeren-nos de part del gran cha, qui era Rei dels tartres, que ell hauia cor e volentat d'ajudar-nos, e que venguéssem a alayas o en altre loc e que ell eixiria a nós, e per sa terra trobaríem ço que mester auríem e així poríem ab ells ensems conquerir lo Sepulcre. E deïa que ell nos bastaria de "genys", e ens bastaria de conduit. E dix-nos l'altre missatge de Palialogo, emperador dels grechs, que ell nos enviaria per mar conduit
English: Excerpt from the book "Llibre dels fets" of James I, where he talks about an embassy sent to the great khan by means of Jayme Alaric, with two mongols ambassadors returning to his court: "...E nós que érem en ualencia uench-nos Jacme Alarich ab los tartres e altre missatge de Grècia que y havia, e dixeren-nos de part del gran cha, qui era Rei dels tartres, que ell hauia cor e volentat d’ajudar-nos, e que venguéssem a alayas o en altre loc e que ell eixiria a nós, e per sa terra trobaríem ço que mester auríem e així poríem ab ells ensems conquerir lo Sepulcre. E deïa que ell nos bastaria de “genys”, e ens bastaria de conduit. E dix-nos l’altre missatge de Palialogo, emperador dels grechs, que ell nos enviaria per mar conduit..."
Камандаваньне Паўночнага фронту. Сядзяць, зьлева направа: начальнік штабу войскаў Паўночнага фронту генэрал ад інфантэрыі Юры Данілаў, камандуючы 1-й арміяй генэрал ад кавалерыі Аляксандар Літвінаў, галоўнакамандуючы войскамі Паўночнага фронту генэрал-ад’ютант Мікалай Рузскі, камандуючы 12-й арміяй генэрал ад інфантэрыі Радко Радко-Дзьмітрыеў, камандуючы 5-й арміяй генэрал ад кавалерыі Абрам Драгаміраў. Стаяць, зьлева направа: генэрал-кватэрмайстар штабу арміяў Паўночнага фронту генэрал-маёр Васіль Болдыраў, начальнік штабу 1-й арміі генэрал-лейтэнант Ільля Адзішалідзэ, начальнік штабу 12-й арміі генэрал-лейтэнант Уладзімер Бяляеў, начальнік штабу 5-й арміі генэрал-лейтэнант Яўген Мілер. Канец 1916 — пачатак 1917 гадоў.
English: Russian generals: Sitting: Yuri Danilov, Alexander Litvinov, Nikolai Ruzsky, Radko Dimitriev, Abram Dragomirov; Standing: Vasily Boldyrev, Ilia Odishelidze, V.V. Belyaev, Evgeny Miller. Русский: Генералы русской армии: Сидят: Данилов Ю. Н., Литвинов А. И., Рузский Н. В., Радко-Дмитриев Р. Д., Драгомиров А. М. Стоят: Болдырев В. Г., Одишелидзе И. З., Беляев В. В., Миллер Е. К.
Un lift spațial pentru planeta Pământ ar consta dintr-un cablu ancorat la ecuatorul Pământului care să ajungă până în spațiul cosmic. Prin atașarea unei contragreutăți la capăt (sau prin extinderea în continuare a cablului în sus în același scop), centrul de masă se păstrează cu mult peste nivelul orbitei geostaționare. Inerția face ca cablul să rămână perfect întins, opunându-se atracției gravitaționale care trage cablul în jos. Deasupra nivelului orbitei geostaționare, liftul are în greutatea orientată în sus deoarece forța centrifugă produsă de accelerație este mult mai mare decât gravitația Pământului. (Diagrama este la scară. Înălțimea la care se află contragreutatea în spațiul cosmic variază în funcție de design).
Română: Diagrama liftului spaţial - textul în română English: A space elevator for Earth would consist of a cable anchored to the Earth's equator, reaching into space. By attaching a counterweight at the end (or by further extending the cable upward for the same purpose), the center of mass is kept well above the level of geostationary orbit. Inertia ensures that the cable remains stretched taut, countering the gravitational pull downward. Once above the geostationary level, climbers would have weight in the upward direction as the centrifugal force overpowers gravity. (The diagram is to scale. The height of the counterweight varies by design and a typical, workable height is shown.)
Tasasivuisessa kolmiossa sivut 
  
    
      
        a
      
    
    {\displaystyle a}
  
, 
  
    
      
        b
      
    
    {\displaystyle b}
  
 ja 
  
    
      
        c
      
    
    {\displaystyle c}
  
 ovat yhtäpitkät. Kolmion korkeusjanoilla 
  
    
      
        
          h
          
            a
          
        
      
    
    {\displaystyle h_{a}}
  
, 
  
    
      
        
          h
          
            b
          
        
      
    
    {\displaystyle h_{b}}
  
 ja 
  
    
      
        
          h
          
            c
          
        
      
    
    {\displaystyle h_{c}}
  
 on yhtä aikaa myös sivunpuolittajan, kulmanpuolittajan ja keskinormalin ominaisuudet.
Abb. 8: Doppelt reziproke Auftragung einer nichtkompetitiven Hemmung in Anwesenheit unterschiedlicher Inhibitorkonzentrationen (1:
  
    
      
        [
        
          I
        
        ]
        =
        0
      
    
    {\displaystyle [\mathrm {I} ]=0}
  
, 2: 
  
    
      
        [
        
          I
        
        ]
        >
        0
      
    
    {\displaystyle [\mathrm {I} ]>0}
  
, 3: 
  
    
      
        [
        
          I
        
        ]
        >
        [
        
          
            I
            
              v
              o
              n
              2
            
          
        
        ]
      
    
    {\displaystyle [\mathrm {I} ]>[\mathrm {I_{von2}} ]}
  
)
Map of prefectures of the Xizang Autonomous Region, more widely known as Tibet Autonomous Region. It was formally established in 1965 to replace the Tibet Area, an administrative division the PRC inherited from the KMT regime, about 5 years after the dismissal of the Kashag by the PRC following the 1959 Tibetan uprising, and about 13 years from the Tibet's incorporation into the PRC in 1951. Unlike the Xinjiang Autonomous Region, there were no Construction Corps sent to Tibet. Strategic constructions for national security were carried out directly by the Chinese military (PLA). Before its incorporation into the PRC polity, the CCP had limited rule over Tibet. For further information, see History of Tibet (1950–present).
English: Map of prefectures of Tibet Autonomous Region
Quarterly quartered: 1st grandquarter, I and IV: Royal arms of England, II: of Scotland; III: of Ireland; in chief a label of three points argent, the centre point charged with a cross of St. George and each of the other points with two hearts in pale also gules; upon an escutcheon of pretence the arms of Hanover, gules, two lions passant guardant in pale or, impaling a semée of hearts gules, a lion rampant azure, on a point in point gules a horse courant; 2nd and 3rd grand quarters: Party per pale, on the dexter side three stags attirés fesseways in pale sable, on the sinister side three lions passant in pale sable, over all an inescutcheon of the arms of the Duchy of Teck; in the centre point a crescent for difference