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Figure 5.

(,) Two intermediate configurations during the tightening simulation of the 5 embedding of a -graph. (,) The ideal 5 -graph, which displays threefold rotational symmetry. (Online version in colour.)

The ideal conformations of the remaining θ -graph isotopes are shown in figure 6 . Each of the 5 6 , 5 7 and 5 5 θ -graphs contains the 5 2 knot ( Bottega Veneta Crocodile Slingback Sandals Outlet Discount jduknYX1Lx
e ), with the addition of an edge between sections of the knot that are in contact and their tight embeddings are governed by tightening of the knot. As there are three topologically distinct contact locations, three isotopes emerge, all with distinct entanglements. If the resulting tight configurations have unperturbed (tight) 5 2 knots, the resulting lengths for these three isotopes would be equivalent ( L / D =25.05+1). In practice, PB-SONO generates slightly perturbed ideal configurations, with variable length (26.17, 26.30 and 26.53). Those variations are most probably because of limited numerical relaxation and we expect the lengths to converge with longer relaxation times. Note also that the additional edge has some flexibility in the 5 6 and 5 5 cases, allowing a suite of tight conformations with equal length. By contrast, the 5 7 ideal embedding is unique, as the two segments of the knot containing the vertices are only in contact at a single point. The 6 1 isotope is a ravel, likely to be second in length only to the 5 1 isotope among all ravelled θ -graph embeddings.

Figure 6.

Ideal conformations of embedded -graphs, shown with a decreased radius. The ropelengths of each ideal configuration are shown below each image. (Online version in colour.)

These examples of tangled θ -graphs demonstrate the subtleties of tight embeddings. First, in some cases the embedding is not unique. Second, distinct entanglements can have equal normalized length in their tightest configurations. The latter issue is, however, rare, so that the normalized length generally offers a convenient ranking of the tangling complexity for topologically equivalent graphs.

A tetrahedron graph consists of four degree-3 vertices. The untangled embedding of a tetrahedron embeds on the sphere without overlapping edges. The simplest entangled cases of a tetrahedron graph have embeddings in the torus, enumerated in detail elsewhere [ 22 ]. Using PB-SONO, we tighten the trivial tetrahedron graph plus five toroidal embeddings ( figure 7 ), resulting in the rope lengths listed in table 3 . We also show the ‘two-dimensional energy’ of the barycentric embedding within the flat torus, derived from the embedding of the related two-periodic graph in the universal cover of the flat torus, the two-dimensional Euclidean plane. The differences between this two-dimensional energy, and the ropelength which gauges a tight embedding in three-dimensional space and is therefore a three-dimensional energy measure, are described elsewhere [ 22 , Jil Sander Platform MidCalf Boots Sale Newest Huge Surprise Cheap Price Wiki For Sale 6qB8JLX
].

Anunció que se realizarán planes de desarrollo en las regiones indígenas basados en consultas, que se otorgará financiamiento para reactivar el desarrollo y que se creará un nuevo organismo público para la atención de esta población. Afirmó también que presentará al Congreso una iniciativa de reforma constitucional en la que se retomarán los Acuerdos de San Andrés y los instrumentos internacionales en materia indígena, y los pueblos en cuestión serán considerados sujetos de derechos. Esto es un buen inicio, desarrollo en lugar de limosnas tipo Prospera y además basado en consultas, y el establecimiento de una nueva relación con los pueblos basada en su reconocimiento como sujetos de derecho. Además, quien encabezará el equipo para hacer todo lo anterior es un abogado indígena, y no una contadora como lo fue en el régimen actual.

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Apenas han pasado 10 días desde la elección de AMLO y el trabajo ya inició, y sin duda cuenta con más credibilidad que los presidentes anteriores. Haciendo un rápido sondeo con diversos líderes indígenas, concluí que la mayoría confía en el presidente electo y en Regino, quien ha sido compañero de lucha de ellos por muchos años y a quien no tienen que empezar por explicar cuáles son los pueblos indígenas del país ni cuál es su problemática, como han tenido que hacer con los funcionarios anteriores.

Los que no confían son los del EZLN, que ya lanzaron un comunicado afirmando que “podrán cambiar el capataz, los mayordomos y caporales, pero el finquero sigue siendo el mismo”. Suponiendo que sea así y siguiendo su metáfora, deberían considerar que si cambian el capataz, los mayordomos y caporales y se unen con los obreros, pueden derrotar al finquero, o por lo menos avanzar en esa derrota. Con poca seriedad, los zapatistas compararon la coyuntura política y electoral con un partido de futbol e insistieron en que nada va a cambiar. Por lo visto, ya se les olvidó que Adelfo Regino fue uno de sus asesores en las negociaciones donde se crearon los acuerdos de San Andrés y continuó cercano a ellos por mucho tiempo (¿sería hasta que aceptó un puesto en el gobierno oaxaqueño?). Pero finalmente es bueno que haya una oposición más hacia la izquierda.

El proceso de cambio será largo, es imposible acabar con tanta injusticia hacia los pueblos indígenas (y en general en el país) en unos días, llevará sin duda todo o gran parte del sexenio y tal vez más, pero será más rápido si todos colaboramos y si los indígenas se mantienen organizados y unidos en sus regiones.

Cambiando un poco de tema, por ahora hay que estar pendientes de la elección de autoridades municipales en Ayutla de los Libres, Guerrero, que se llevará a cabo el próximo domingo (15 de julio). Recordemos que se realizará la asamblea municipal de representantes comunitarios para decidir por sistema normativo propio (usos y costumbres) la forma del nuevo gobierno y elegir a sus integrantes. Estarán presentes cientos de observadores de distintas partes y diversos medios de comunicación. Incluso los promotores del proceso entregaron ayer a Adelfo Regino una carta en la que invitan a AMLO a presenciar la asamblea. Esperemos que el resultado de este evento sea exitoso.

With your competitors already seeing meaningful results from Facebook ads and increasing their spend, it’s high time to develop a Facebook advertising strategy of your own.

Facebook offers 10 campaign objectives based on what you want your ad to accomplish. For each of those objectives, you can choose various ad formats based on your chosen goal and target audience.

Before we dig into some specific Facebook ad examples and the technical requirements for each format, let’s take a quick look at how the different types of Facebook campaigns align with business goals:

App installs Brand awareness Conversions Engagement Lead generation Product catalog sales Store visits Traffic Video views

This video provides more details about the campaign objectives.

Now that you understand the various Facebook campaign objectives, let’s explore the various Facebook advertising formats.

Facebook ad specs Campaign types Facebook ad image sizes Text limit Headline text limit

Note : Since Facebook doesn’t want people’s newsfeeds to be filled with text-heavy images screaming for attention, you need to keep your text overlays to less than 20 percent of your image. (This also applies to video thumbnails.) In fact, the less text there is on your image, the Miu Miu Patent CapToe Sneakers Clearance Brand New Unisex DSPDhhW4
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Simple photo ads don’t have to be boring. Dallas bookstore The Wild Detectives used photos ads with clickbait-style headlines to trick people into reading classic literature.

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Facebook ad image sizes (thumbnail) Facebook ad dimensions Maximum video length

Video ads can create massive engagement—if they’re done right. A video about bread could be, well, a little boring. Not this one! At the time of writing, this Facebook video ad for Dave’s Killer Bread had more than 2,500 shares and more than 1,200 comments.

Activewear company Carbon38 found that compared to Facebook photo ads, Slideshow ads saw an 85 percent increase in return on ad spend and had a 40 percent higher click-through rate.

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When MeUndies launched a Collection ad, it increased its conversion rate by 40 percent .

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