fschieber/wit-captions huggingface dataset:
Colonic crypts (intestinal glands) within four tissue sections.  The cells have been stained by immunohistochemistry to show a brown-orange color if the cells produce the mitochondrial protein cytochrome c oxidase subunit I (CCOI, synonym for MT-COI), and the nuclei of the cells (located at the outer edges of the cells lining the walls of the crypts) are stained blue-gray with haematoxylin. Panels A, B were cut across the long axes of the crypts and panels C, D were cut parallel to the long axes of the crypts. In panel A the bar shows 100 µm and allows an estimate of the frequency of crypts in the colonic epithelium. Panel B includes three crypts in cross-section, each with one segment deficient for MT-COI expression and at least one crypt, on the right side, undergoing fission into two crypts. Panel C shows, on the left side, a crypt fissioning into two crypts. Panel D shows typical small clusters of two and three MT-COI deficient crypts (the bar shows 50 µm). The images were made from original photomicrographs, but panels A, B and D were also included in an article[30] and illustrations were published with Creative Commons Attribution-Noncommercial License allowing re-use.
English: Colonic crypts (intestinal glands) within four tissue sections. The cells have been stained by immunohistochemistry to show a brown-orange color if the cells produce the mitochondrial protein Cytochrome c oxidase subunit I (CCOI), and the nuclei of the cells (located at the outer edges of the cells lining the walls of the crypts) are stained blue-gray with haematoxylin. Panels A, B were cut across the long axes of the crypts and panels C, D were cut parallel to the long axes of the crypts. In panel A the bar shows 100 µm and allows an estimate of the frequency of crypts in the colonic epithelium. Panel B includes three crypts in cross-section, each with one segment deﬁcient for CCOI expression and at least one crypt, on the right side, undergoing fission into two crypts. Panel C shows, on the left side, a crypt fissioning into two crypts. Panel D shows typical small clusters of two and three CCOI deficient crypts (the bar shows 50 µm). The images were made from original photomicrographs, but panels A, B and D were also included in an article[1] and illustrations were published with Creative Commons Attribution-Noncommercial License allowing re-use. ↑ Template:Vcite2 journal
A homogeneous function is not necessarily continuous, as shown by this example. This is the function f defined by 
  
    
      
        f
        (
        x
        ,
        y
        )
        =
        x
      
    
    {\displaystyle f(x,y)=x}
  
 if 
  
    
      
        x
        y
        >
        0
      
    
    {\displaystyle xy>0}
  
 and 
  
    
      
        f
        (
        x
        ,
        y
        )
        =
        0
      
    
    {\displaystyle f(x,y)=0}
  
 if 
  
    
      
        x
        y
        ≤
        0
      
    
    {\displaystyle xy\leq 0}
  
. This function is homogeneous of degree 1, i.e. 
  
    
      
        f
        (
        α
        x
        ,
        α
        y
        )
        =
        α
        f
        (
        x
        ,
        y
        )
      
    
    {\displaystyle f(\alpha x,\alpha y)=\alpha f(x,y)}
  
 for any real numbers 
  
    
      
        α
        ,
        x
        ,
        y
      
    
    {\displaystyle \alpha ,x,y}
  
. It is discontinuous at 
  
    
      
        y
        =
        0
        ,
        x
        ≠
        0
      
    
    {\displaystyle y=0,x\neq 0}
  
.
English: An example that shows that a homogeneous function does not have to be continuous. This is the function f defined by f(x,y)=x if xy>0 or f(x,y)=0 otherwise. It is homogeneous of order 1, i.e. f(a*x,a*y)=a*f(x,y). It is discontinuous at y=0, x=/=0.
The incandescent light bulb (1) emits completely random polarized photons (2) with mixed state density matrix:
 
  
    
      
        
          
            [
            
              
                
                  0.5
                
                
                  0
                
              
              
                
                  0
                
                
                  0.5
                
              
            
            ]
          
        
      
    
    {\displaystyle {\begin{bmatrix}0.5&0\\0&0.5\\\end{bmatrix}}}
  
. After passing through vertical plane polarizer (3), the remaining photons are all vertically polarized (4) and have pure state density matrix:
 
  
    
      
        
          
            [
            
              
                
                  1
                
                
                  0
                
              
              
                
                  0
                
                
                  0
                
              
            
            ]
          
        
      
    
    {\displaystyle {\begin{bmatrix}1&0\\0&0\\\end{bmatrix}}}
  
.
قضیه ی تالس : خط BC با خط DE موازی است پس نسبت پاره خط های AD به DB برابر است با نسبت پاره خط AE به AC .  می توان به زبان ریاضی نوشت :  
  
    
      
        
          
            
              A
              D
            
            
              D
              B
            
          
        
        =
        
          
            
              A
              E
            
            
              E
              C
            
          
        
      
    
    {\displaystyle {\frac {AD}{DB}}={\frac {AE}{EC}}}
  
  و همچنین با تعمیم قضیه ی تالس می توان نتیجه ی زیر را گرفت:  
  
    
      
        
          
            
              A
              E
            
            
              A
              C
            
          
        
        =
        
          
            
              A
              D
            
            
              A
              B
            
          
        
        =
        
          
            
              D
              E
            
            
              B
              C
            
          
        
      
    
    {\displaystyle {\frac {AE}{AC}}={\frac {AD}{AB}}={\frac {DE}{BC}}}
Il Rilievo Burney conservato al British Museum di Londra. Altorilievo in terracotta del XIX secolo a.C. Questa opera templare rappresenta probabilmente[38] la dea guardiana degli inferi Ereškigal, sorella di Inanna/Ištar. La dea impugna il listello e la corda strumenti della giustizia.      «"Ecco che questa tua sorella Ištar sta nella porta,
colei che celebra grandi feste gioiose e sommuove l'oceano davanti ad Ea".
Ereškigal quando udì questo,
come un tamarisco reciso divenne pallida la sua faccia,
come canna kuninu tagliata divennero nere le sue labbra.
Che cosa ha indotto il suo cuore (a venire da me)? Che cosa ha diretto il suo animo contro di me?
Questa, (che cosa vuole)?
Io voglio (continuare a) bere acqua cogli Anunnaki,
quale cibo mangiare fango, quale bevanda inebbriante bere acqua sporca,
piangere sopra gli uomini che hanno abbandonato le loro mogli,
piangere sopra le donne che dal seno dei loro mariti sono state strappate,
sopra il bambino debole piangere che è stato falciato prima dei suoi giorni.» (Discesa di Ištar agli inferi versione neoassira di Ninive, tradotta integralmente da Giuseppe Furlani; in Miti babilonesi e assiri, Firenze, Sansoni, 1958, p. 300)
The 'Queen of the Night' Relief, The figure could be an aspect of the goddess Ishtar, Mesopotamian goddess of sexual love and war. Her bird-feet and accompanying owls have suggested to some a connection with Lilitu (called Lilith in Jewish lore), though seemingly not the usual demonic Lilitu. Old Babylonian, 1800-1750 BC. From southern Iraq. British Museum, London.
Porta d'entrada a la Real Fábrica de Tabacos de Sevilla. Les mesures que van adoptar els governs europeus en relació amb les activitats industrials foren molt semblants a les adoptades respecte al comerç colonial. Van crear un nombre de fàbriques subvencionades per l'Estat per elaborar articles de luxe. La importància d'aquestes activitats industrials rau en la introducció d'una nova forma d'organitzar el treball encara que fonamentalment manual i van esdevenir un graó cabdal en la transició de la producció domèstica a la fabril. Sota la influència de Jean-Baptiste Colbert, a Espanya, es va fundar la primera manufactura el 1718 dedicada a la fabricació de teixits de llana d'estil holandès i es va ubicar a Guadalajara. El Govern va pensar que els seus guanys posarien fi a la humiliació d'haver de comprar a Anglaterra draps fabricats amb llana espanyola. No va assolir cap èxit econòmic per la manca d'administració i els excessius costos del transport a causa de la llunyania dels principals centres d'esquilada de la Mesta i de tots els grans centres comercials, tret de Madrid. Ni la fàbrica de Guadalajara ni les altres fàbriques reials no van donar el rendiment desitjat.[34]
Español: Puerta principal de la Real Fábrica de Tabacos en Sevilla, España English: Main door of the Royal Tobacco Factory at Seville, Spain
Posibles figuras de interferencia para un mineral biaxial con una amplia 2V, visto a lo largo de uno de los dos ejes ópticos. La forma curvada de la isógira (banda oscura) es característica de los minerales biaxiales, a pesar de que el grado de curvatura cambia a medida que se hace girar el microscopio, y el patrón se asemeja en algunas orientaciones al patrón de «Cruz de Malta» de un mineral uniaxial. La imagen de la izquierda muestra solo la forma; el parche gris en el centro indica el bajo primer orden (gris) de los colores de birrefringencia observados aquí (el orden de los colores que se observan en la realidad aumentaría lejos del centro, pero estos colores no se muestran). Las dos figuras de la derecha muestran el efecto de la adición de una lámina sensible que se ha instalado, donde se puede ver que el gris del centro ha sido sustituido por un cian de segundo orden y un amarillo de primer orden de color de birrefringencia. La polaridad del amarillo y del cian revela si el mineral observado es ópticamente «biaxial positivo» (arriba) o «biaxial negativo» (abajo), siendo esta una propiedad clave en la identificación de los minerales (o para investigar su composición)
English: Interference figures for a biaxial mineral, viewed along one of its two optic axes. The curved shape of the dark arc (the "isogyre") is characteristic of biaxial minerals - though the degree of curvature will change as the microscope stage is rotated, and at some orientations the pattern will resemble the "maltese cross" pattern of a uniaxial mineral. The left hand image illustrates the figure alone; the grey patch at the centre indicates the low first order (grey) birefringence colours seen here (the order of the colours seen would in reality increase away from the center, but these colours are not shown). The two right hand figures show the effect of adding a sensitive tint plate to the setup, replacing the grey at the centre with second order blue and first yellow birefringence colours. The polarity of the yellow and blue reveals whether the mineral being viewed is optically "biaxial positive" (top) or "biaxial negative" (bottom), which can be a key property in identifying the mineral (or investigating its composition).
Mirdzizlāde atmosfēras spiedienā pie šķidrā elektroda. Ierosinošā dzirksteļizlāde rada jonus, kuri bombardē šķidro katodu (H) un izšļaksta elektrolītu starpelektrodu telpā. Triecienjonizācijas rezultātā Kruksa tumšajā telpā (F) nokļūst no elektrolīta virsmas sekundārie elektroni un katjoni, kas vai nu rekombinē pie katoda virsmas (G), vai arī kustas gar elektriskā lauka spēka līnijām uz anodu, pamazām zaudējot ātrumu sadursmju ceļā. Gan joni, gan elektroni mirdzizlādes negatīvajā telpā (D) kustas lēni, jo te elektriskā potenciāla gradients ir ļoti mazs, kādēļ tie var rekombinēt un rodas mirdzizlāde. Tālāk anoda (J) virzienā lauka intensitāte pieaug un atsākas triecienjonizācija — tā ir Faradeja tumšā telpa (C). Pozitīvā staba (B) telpā lādiņnesēju koncentrācija un lauka gradients nav lieli, bet laiku pa laikam notiek jonizācija un rekombinācija, kas arī izraisa spīdēšanu. Tā kā pie paša anoda elektronu koncentrācija ir zema salīdzinoši ar katjonu koncentrāciju, potenciāla gradients atkal pieaug, un parādās anoda izlāde (A). Sarkanā līkne parāda elektriskā potenciāla (U) izmaiņas, zaļā — elektriskā lauka intensitātes (E) izmaiņas. Attēls balstās uz diviem avotiem.[16][18]
Hasse diagram of the search graph of the algorithm for 3 variables. Given e.g. the subset 
  
    
      
        S
        =
        {
        a
        b
        c
        ,
        a
        
          
            b
            ¯
          
        
        c
        ,
        
          
            a
            ¯
          
        
        b
        c
        ,
        
          
            a
            ¯
          
        
        b
        
          
            c
            ¯
          
        
        ,
        
          
            a
            ¯
          
        
        
          
            b
            ¯
          
        
        c
        }
      
    
    {\displaystyle S=\{abc,a{\overline {b}}c,{\overline {a}}bc,{\overline {a}}b{\overline {c}},{\overline {a}}{\overline {b}}c\}}
  
 of the bottom-level nodes, the algorithm computes a minimal set of nodes (here: 
  
    
      
        {
        
          
            a
            ¯
          
        
        b
        ,
        c
        }
      
    
    {\displaystyle \{{\overline {a}}b,c\}}
  
) that covers exactly 
  
    
      
        S
      
    
    {\displaystyle S}
  
.
Der Einheitskreis wird als die Menge aller Punkte 
  
    
      
        (
        x
        ,
        y
        )
      
    
    {\displaystyle (x,y)}
  
 beschrieben, welche die Gleichung 
  
    
      
        F
        (
        x
        ,
        y
        )
        =
        0
      
    
    {\displaystyle F(x,y)=0}
  
 mit 
  
    
      
        F
        (
        x
        ,
        y
        )
        =
        
          x
          
            2
          
        
        +
        
          y
          
            2
          
        
        −
        1
      
    
    {\displaystyle F(x,y)=x^{2}+y^{2}-1}
  
 erfüllen. In einer Umgebung des Punktes A kann 
  
    
      
        y
      
    
    {\displaystyle y}
  
 als Funktion von 
  
    
      
        x
      
    
    {\displaystyle x}
  
 ausgedrückt werden: 
  
    
      
        y
        =
        f
        (
        x
        )
        =
        
          
            1
            −
            
              x
              
                2
              
            
          
        
      
    
    {\displaystyle y=f(x)={\sqrt {1-x^{2}}}}
  
. Bei Punkt B geht das nicht.
L'orologio del ciclo cellulare.  Le cellule in G0 non si dividono e sono quiescenti. Quando ricevono specifici segnali, come fattori di crescita, si preparano a dividersi entrando nella fase G1, dove tutti i componenti interni, tranne il DNA, vengono duplicati. Allo stesso modo, anche la dimensione della cellula raddoppia. La fase successiva è la fase S (sintesi). Durante la fase S, i cromosomi (le strutture in cui è organizzato il DNA), vengono duplicati in preparazione alla divisione. La transizione da G1 a S è un checkpoint. Se la cellula presenta danni al DNA, esprime oncogeni o presenta proteine alterate, vengono attivate specifiche proteine "di checkpoint". Queste, come l'oncosoppressore p53 o pRB, interrompono la transizione verso la fase S fino a che i danni non vengono riparati. Se questi non possono essere riparati, la cellula va incontro ad apoptosi, spesso indicata come suicidio cellulare, che rappresenta una morte cellulare programmata. Se gli oncosoppressori perdono la loro funzionalità a causa di mutazioni o vengono silenziati, la cellula danneggiata continua la propria divisione senza venire arrestata - uno dei tratti distintivi delle cellule cancerose.
Граф Петерсена O3 = KG5,2 
вершин = 
  
    
      
        
          
            
              
                (
              
              
                
                  2
                  n
                  −
                  1
                
                
                  n
                  −
                  1
                
              
              
                )
              
            
          
        
      
    
    {\displaystyle {\tbinom {2n-1}{n-1}}}
  
 
ребер = 
  
    
      
        n
        
          
            
              
                (
              
              
                
                  2
                  n
                  −
                  1
                
                
                  n
                  −
                  1
                
              
              
                )
              
            
          
        
        
          /
        
        2
      
    
    {\displaystyle n{\tbinom {2n-1}{n-1}}/2}
  
 
диаметр = n − 1[1][2] 
 обхват= 
  3 если n = 2, 
  5 если n = 3, 
  6 если n > 3[3] 
свойства = дистанционно-транзитивен 
обозначение = On
Характеристика электродвигателя постоянного тока с последовательным возбуждением.
При пуске (малое число оборотов 
  
    
      
        
          n
          
            1
          
        
      
    
    {\displaystyle n_{1}}
  
) через якорь и обмотку возбуждения протекает большой ток 
  
    
      
        
          I
          
            1
          
        
      
    
    {\displaystyle I_{1}}
  
, вращающий момент 
  
    
      
        
          M
          
            1
          
        
      
    
    {\displaystyle M_{1}}
  
 большой.
При большом числе оборотов 
  
    
      
        
          n
          
            2
          
        
      
    
    {\displaystyle n_{2}}
  
 сила тока 
  
    
      
        
          I
          
            2
          
        
      
    
    {\displaystyle I_{2}}
  
 уменьшается, уменьшается и вращающий момент 
  
    
      
        
          M
          
            2
          
        
      
    
    {\displaystyle M_{2}}
  
.
Двигатели внутреннего сгорания имеют противоположную характеристику, поэтому для преобразования крутящего момента нуждаются в коробке передач, вариаторе или АКПП.
English: DC motors
Gegen Wolodymyr Kuz war Zátopek im 5000-Meter-Lauf am 29. August 1954 in Bern chancenlos. Am Ende wurde er hinter Chataway Dritter.                                                                                                                                      Splitzeiten
(10.000-Meter-Lauf)[39] Rd.SplitGesamtzeitDistanz 168,8 s1:08,8 min400 m 270,8 s2:19,6 min800 m 369,1 s3:28,7 min1200 m 468,1 s4:36,8 min1600 m 569,0 s5:45,8 min2000 m 669,1 s6:54,9 min2400 m 768,7 s8:03,6 min2800 m 868,6 s9:12,2 min3200 m 969,8 s10:22,0 min3600 m 1069,9 s11:31,9 min4000 m 1169,9 s12:41,8 min4400 m 1270,6 s13:52,4 min4800 m 1370,4 s15:02,8 min5200 m 1470,0 s16:12,8 min5600 m 1569,4 s17:22,2 min6000 m 1670,6 s18:32,8 min6400 m 1771,0 s19:43,8 min6800 m 1870,8 s20:54,6 min7200 m 1970,4 s22:05,4 min7600 m 2069,6 s23:15,0 min8000 m 2171,3 s24:26,3 min8400 m 2269,1 s25:35,4 min8800 m 2371,3 s26:46,7 min9200 m 2468,8 s27:55,6 min9600 m 2563,0 s28:58,0 min10.000 m                             Kuz’ Splitzeiten
(5000-Meter-Lauf)[40] SplitGesamtzeitDistanz 2:44,0 min2:44,0 min1000 m 2:52,7 min5:36,7 min2000 m 2:47,2 min8:23,9 min3000 m 2:48,4 min11:12,3 min4000 m 2:44,3 min13:56,6 min5000 m
Vladimir Kuts
In this heterojunction of type I alignment, one can clearly see the built-in potential Φbi = Φ(A) + Φ(B). The band gap difference ΔEg = Eg(A) - Eg(B) is distributed between the two discontinuities,ΔEv, and ΔEc$. In alignments, it is generally the case that the conduction band which has the higher energy minimum will bend upward, whilst the valence band which has the lower energy maximum will bend upward. In this type of alignment, this means that both of the bands of semiconductor A will bend upwards, whilst both of the bands of semiconductor B will bend downwards. The band bending, caused by the built-in potential, is determined by the interface position of the Fermi level, and predicting or measuring this level is related to the Schottky barrier height in metal-semiconductor interfaces. Depending on the doping of the bulk material, the band bending can be into the thousands of angstroms, or just fifty, depending on the doping. The discontinuities on the other hand, are primarily due to the electrostatic potential gradients of the abrupt interface, working on a length scale of ideally a single atomic interplanar spacing, and is almost independent of any doping used.
English: In this heterojunction of type I alignment, one can clearly see the built-in potential Φbi = Φ(A) + Φ(B). The band gap difference ΔEg = Eg(A) - Eg(B) is distributed between the two discontinuities,ΔEv, and ΔEc$. In alignments, it is generally the case that the conduction band which has the higher energy minimum will bend upward, whilst the valence band which has the lower energy maximum will bend upward. In this type of alignment, this means that both of the bands of semiconductor A will bend upwards, whilst both of the bands of semiconductor B will bend downwards. The band bending, caused by the built-in potential, is determined by the interface position of the Fermi level, and predicting or measuring this level is related to the Schottky barrier height in metal-semiconductor interfaces. Depending on the doping of the bulk material, the band bending can be into the thousands of angstroms, or just fifty, depending on the doping. The discontinuities on the other hand, are primarily due to the electrostatic potential gradients of the abrupt interface, working on a length scale of ideally a single atomic interplanar spacing, and is almost independent of any doping used.