the vertical bundle and the horizontal bundle are vector bundles associated to a smooth fiber bundle. More precisely, given a smooth fiber bundle π :...

customers with specialized needs Vertical and horizontal bundles, mathematical fiber bundles Horizontal and vertical writing in East Asian scripts – many...

discrimination Refusal to deal and exclusive dealing Tying (commerce) and product bundling Despite wide agreement that the above constitute abusive practices...

vertical bundle V along H (so that H = ker Φ). This is determined by the above direct sum decomposition of TE into horizontal and vertical parts and is...

vector bundle, and to some principal fiber bundles. This metric is often called a bundle metric, or fibre metric. If M is a topological manifold and π :...

sections of that bundle along tangent directions in the base manifold. Principal connections generalize to arbitrary principal bundles the concept of a...

addition to a bundle metric ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot \rangle } on E leads to Kaluza–Klein theory. Vertical and horizontal bundles Jost, Jürgen...

bundles π Y Σ : Y → Σ , π Σ X : Σ → X . {\displaystyle \pi _{Y\Sigma }:Y\to \Sigma ,\qquad \pi _{\Sigma X}:\Sigma \to X.} It is provided with bundle coordinates...

with tensors now being geometric objects in the vertical and horizontal bundles of a fiber bundle, instead of being indexed algebraic objects defined...

sequence of vector bundles over Y: where TY and TX are the tangent bundles of Y, respectively, VY is the vertical tangent bundle of Y, and Y ×X TX is the...

cheaper, horizontal microcode came to dominate the design of CPUs using microcode, with vertical microcode being used less often. When both vertical and horizontal...

coordination. There are two basic forms of non-horizontal mergers: vertical mergers and conglomerate mergers. Vertical mergers are mergers between firms that...

and especially differential geometry and mathematical physics, gauge theory is the general study of connections on vector bundles, principal bundles,...

high-rise vertical durability. The first building to apply the tube-frame construction was the DeWitt-Chestnut Apartment Building which Khan designed and which...

for calculation in ancient East Asia. They are placed either horizontally or vertically to represent any integer or rational number. The written forms...

wire rope railings, are safety rails that use horizontal or vertical cables in place of spindles, glass and mesh for infill. Cable railings are often desired...

elimination: Problem 8-1: Suppose we have 3 bundles of top quality cereals, 2 bundles of medium quality cereals, and a bundle of low quality cereal with accumulative...

Dicot stems with primary growth have pith in the center, with vascular bundles forming a distinct ring visible when the stem is viewed in cross section...

G} forming what's known as a fiber of the fiber bundle. These fiber bundles are called principal bundles. Locally the resulting space looks like R d × G...

complementary, and even integrated. Application software can also be seen as being either horizontal or vertical. Horizontal applications are more popular and widespread...

linear isomorphism of vector bundles θ : TM → o*VE from the tangent bundle of M to the pullback of the vertical bundle of E along the distinguished section...

of a fiber bundle in an invariant form. Jets may also be seen as the coordinate free versions of Taylor expansions. Historically, jet bundles are attributed...

for horizontal mounting (often referred to as "dead ends") therefore incorporate flanges to shed water, and strain insulators intended for vertical mounting...

(producing horizontal diplopia, not vertical diplopia). Infections (meningitis, herpes zoster), demyelination (multiple sclerosis), diabetic neuropathy and cavernous...

splitting of the tangent bundle T ( U T M ) = H ⊕ V {\displaystyle T(UTM)=H\oplus V} into a vertical space V = kerπ* and horizontal space H on which π* is...

noise reducer, emboss horizontal only/in all directions/(laplacian)/vertical only/with variable depth/horizontal and vertical, small tiles, round corners...

the bundles in the coupled system exhibit an active biphasic response similar to the "twitch" observed in individual bundles. The active bundle motion...

an arbitrary fiber bundle, to emphasise that these connections are "linear in the horizontal direction" (i.e., the horizontal bundle is a vector subbundle...

horizontal component of Z, on the right we identified a vertical vector field and a Lie algebra element generating it (fundamental vector field), and...

(the vertical gaze center). The paramedian pontine reticular formation (PMPRF) is involved in coordinating horizontal conjugate eye movements and saccades...