The prism can be deployed and compacted in a single dimension.
Hyper hemispheric lens may be kept quite compact in dimension and the need of a single imaging detector, for a so large field of view, strongly reduces costs.
We calculate the form of the large time asymptotic expansion of the expected volume of the pinned Wiener sausage associated to a compact set K in Rd in dimensions d⩾3.
The compact hydraulic dimensions, in combination with the low number of parts, lead to a cost-effective manufacturing process and to a reduction in product and inventory costs.
Canon recently introduced its own compact zoom camera, the PowerShot SX100 ($220), which also features 10x optical zoom and just about matches the TZ5 in dimensions.
Let (M^{q}), (N^{r}) be two compact submanifolds of dimensions q, r in (G/H), respectively, (M^{q}) fixed and (gN^{r}) the image of N under a motion (gin G).
These uncertainties in dimensions and flow distribution should be accounted for during the design and performance evaluation of new HX geometries with focus on ultra-compact designs.
The instrument fits in a compact case (dimensions of 46 × 33 × 17 cm3) and weighs less than 9 kg.
The proof of the main result is based on an inductive geometrical construction which reduces the problem to the existence of a Lipschitz (with respect to the Hausdorff distance) selector SX(m) defined on the family Km(X) of all convex compacts in X of dimension at most m.
But to initiate such studies, we have first of all to define the design bases and the requirements for HTR fuel, in terms of kernel composition (fissile element, oxide stoechiometry, enrichment), particle and compact geometry (dimensions, particle volume fraction in the graphite matrix), power density, cooling gas temperature and irradiation conditions (burnup, fast fluence).
Supergravity models in higher dimensions "reduce" to the familiar four-dimensional space-time if it is postulated that the extra dimensions are compacted or curled up in such a way that they are not noticeable.
