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Analysis of the first-order corrections to higher-spin equations is extended to homotopy operators involving shift parameters with respect to the spinor $Y$ variables, the argument of the higher-spin connection $\omega(Y)$ and the argument of the higher-spin zero-form $C(Y)$. It is shown that a relaxed uniform $(y+p)$-shift and a shift by the argument of $\omega(Y)$ respect the proper form of the free higher-spin equations and constitute a one-parametric class of vertices that contains those resulting from the conventional (no shift) homotopy. A pure shift by the argument of $\omega(Y)$ is shown not to affect the one-form higher-spin field $W$ in the first order and, hence, the form of the respective vertices., Comment: 24 pages; V2: The analysis is extended to the homotopy shifts dependent on the argument of the higher-spin zero-form $C(Y)$. A relaxed uniform $(y+p)$-shift is shown to respect the free higher-spin equations in $AdS_4$ the same time generating a one-parametric class of pairwise different interacting vertices. Acknowledgement added. Matches the published version

In this paper, we present a complete proof of the so-called First On-Shell Theorem that determines dynamical content of the unfolded equations for free symmetric massless fields of arbitrary integer spin in any dimension and arbitrary integer or half-integer spin in four dimensions. This is achieved by calculation of the respective $\sigma_-$ cohomology both in the tensor language in Minkowski space of any dimension and in terms of spinors in $AdS_4$. In the $d$-dimensional case $H^p(\sigma_-)$ is computed for any $p$ and interpretation of $H^p(\sigma_-)$ is given both for the original Fronsdal system and for the associated systems of higher form fields., Comment: 47 pages, no figures V2: clarifications, references and acknowledgement added, typos corrected; matches the published version; V3 48 pages, missed cohomology in section 8 fixed, acknowledgement added

In this paper, we present a complete proof of the so-called First On-Shell Theorem that determines dynamical content of the unfolded equations for free symmetric massless fields of arbitrary integer spin in any dimension and arbitrary integer or half-integer spin in four dimensions. This is achieved by calculation of the respective $\sigma_-$ cohomology both in the tensor language in Minkowski space of any dimension and in terms of spinors in $AdS_4$. In the $d$-dimensional case $H^p(\sigma_-)$ is computed for any $p$ and interpretation of $H^p(\sigma_-)$ is given both for the original Fronsdal system and for the associated systems of higher form fields., Comment: 47 pages, no figures V2: clarifications, references and acknowledgement added, typos corrected; matches the published version

The inner ear is a complex structure responsible for hearing and balance, and organ pathology is associated with deafness and balance disorders. To evaluate the role of epigenomic dynamics, we performed whole genome bisulfite sequencing at key time points during the development and maturation of the mouse inner ear sensory epithelium (SE). Our single-nucleotide resolution maps revealed variations in both general characteristics and dynamics of DNA methylation over time. This allowed us to predict the location of non-coding regulatory regions and to identify several novel candidate regulatory factors, such as Bach2, that connect stage-specific regulatory elements to molecular features that drive the development and maturation of the SE. Constructing in silico regulatory networks around sites of differential methylation enabled us to link key inner ear regulators, such as Atoh1 and Stat3, to pathways responsible for cell lineage determination and maturation, such as the Notch pathway. We also discovered that a putative enhancer, defined as a low methylated region (LMR), can upregulate the GJB6 gene and a neighboring non-coding RNA. The study of inner ear SE methylomes revealed novel regulatory regions in the hearing organ, which may improve diagnostic capabilities, and has the potential to guide the development of therapeutics for hearing loss by providing multiple intervention points for manipulation of the auditory system.

Márgenes graduados, Red hidrográfica destacada, Relieve por montes de perfil y sombreado, Abundante toponimia, Límites de las divisiones administrativas diferenciadas por color, Escala gráfica de 400 verstas [= 6,2 cm]. Coordenadas referidas a un meridiano que no se especifica (E 90°34'18''--E 194°25'42''/N 69°00'00''--N 46°00'00''). Recuadro geográfico de 5° en 5°, Título enmarcado en escena representando a un campesino que está trabajando pieles, tratando con dos chinos; al fondo puede verse la perspectiva de un edificio y un torno, Copia digital. Madrid : Ministerio de Cultura, 2010, Fecha de publicación tomada de la atribuida al atlas en : "Tooley's Dictionary of Mapmakers". Tring, 1979, p. 388 y otras

Márgenes graduados, Red hidrográfica destacada, Límites entre las divisiones administrativas diferenciados por color, Topografía abundante, Escala gráfica de 50 verstas [= 8 cm]. Coordenadas referidas a un meridiano que no se especifica (E 44°42'52''--E 51°16'25''/N 58°30'00''--N 55°49'15''). Recuadro geográfico de 1° en 1°, Título enmarcado en paisaje a la orilla de un rio posiblemente el Velinkaya. Escrito en piel apoyada en varios toneles, está coronado por corona imperial y escudo de la ciudad de Pskov, en primer término Mercurio muestra un navío que surca las aguas del río a un niño que se dedica a cardar lana, Copia digital. Madrid : Ministerio de Cultura, 2010, Fecha de publicación tomada de la atribuida al atlas en: "Tooley's Dictionary of Mapmakers". Tring 1979, p. 388 y otras

Fecha de publicación tomada de la atribuida al atlas en: "Tooley's Dictionary of Mapmkers". Tring 1979, p. 388 y otras, Escala gráfica de 100 verstas [= 6,4 cm]. Coordenadas referidas a un meridiano que no se especifica (E 42°02'--E 62°00'/N 60°01'--N 59°57'). Recuadro geográfico de 1° en 1°, Márgenes graduados, Abundante toponimia, Límites entre las divisiones administrativas diferenciados por color, Red hidrográfica destacada, Título enmarcado en escena, estando escrito en el casco de un barco en construccion a cuyos pies trabajan niños alados, sobre el timón del barco, apoyado en un cañon, figuran el escudo de Olonets, Copia digital. Madrid : Ministerio de Cultura. Dirección General del Libro, Archivos y Bibliotecas, 2010

Escala gráfica de 500 verstar [= 7,5 cm]. Coordenadas referidas a un meridano que no se especifica (E 26°00'--E 235°00'/N 79°08'--N 36°56'). Recuadro geográfico de 5° en 5°, Márgenes graduados, Orografía de perfil, Límites entre las divisiones administrativas diferenciados por color, Título enmarcado en cartela ovalada decorada con guirnaldas a cuyos pies se encuentra el águila bicéfala de la dinastia Romanov bajo la cual se extienden objetos alusivos a las ciencias y las artes. Sostienen la cartela Hércules, vestido con la piel del león de Nemea y armado con su maza, y una figura alegórica de la dinastia que corona a un niño alado que presta juramento sobre el Juego sagrado. Al fondo se obsserva una ciudad portuaria con un navío anclado en el muelle, Inserta: "Karta Predstarliaiushch chasm zapadnago berega Ameriki om poluocmpova Aliaski do zaliva Nutri nolozhennago po noveishim omkrymiiam zdelannim Rocciickimi i Anglinskimi moreplavateliani 1784, 1786 i 1787 godaj'". Continuación de la costa de Alaska hacia el sur, señalando la zona perteneciente a rusos e ingleses. Escala [ca 1:5890000], 200 verstas [= 3,6], Copia digital. Madrid : Ministerio de Cultura, 2010, Fecha de publicación tomada de la atribuida el atlas en: "Tooley's Dictionary of Mapmakers" Tring 1979, p. 388 y otras