## Encyclopedia of Physical Science and Technology, Volume 1 |

### From inside the book

Results 1-3 of 54

Page 403

Recall that just as we can dual

between them by sending linear /to linear/* where / with/*: a\-> a/ So the dual map

actually goes in the reverse direction. For a finite-dimensional

may ...

Recall that just as we can dual

**vector**spaces so we can dual linear mapsbetween them by sending linear /to linear/* where / with/*: a\-> a/ So the dual map

actually goes in the reverse direction. For a finite-dimensional

**vector**space F wemay ...

Page 407

For instance, U D V -> TM : (0, i/») h» cos i/» 3, locally models an east-west wind

on the earth, decaying from the equator to the north pole. Similarly, U n V -▻ TM :

(0, «//) h+ -cos if, d2 models a north wind. A local flow about jc0 G M for a

For instance, U D V -> TM : (0, i/») h» cos i/» 3, locally models an east-west wind

on the earth, decaying from the equator to the north pole. Similarly, U n V -▻ TM :

(0, «//) h+ -cos if, d2 models a north wind. A local flow about jc0 G M for a

**vector**...Page 417

B. Parallel Transport Given a curve c: [0, 1] -» Af , its tangent

denoted c: [0, 1] — » 7"A/ and in components c = c> dj . If w E Yr, M then we say

that w is parallel along c if V6w = 0 If H' = wk dk € YoW is parallel along c with

tangent ...

B. Parallel Transport Given a curve c: [0, 1] -» Af , its tangent

**vector**field isdenoted c: [0, 1] — » 7"A/ and in components c = c> dj . If w E Yr, M then we say

that w is parallel along c if V6w = 0 If H' = wk dk € YoW is parallel along c with

tangent ...

### What people are saying - Write a review

#### Encyclopedia of physical science and technology

User Review - Not Available - Book VerdictAlthough almost a decade has passed since the second edition of this work was published, this encyclopedia's reputation as a high-quality scholarly work has not diminished. Guided by an advisory board ... Read full review

### Contents

Liquid Alkali Metals 1 John F Schenck | 337 |

Liquid Chromatography 13 Russell L Rasmussen Joseph | 363 |

Liquid Crystal Devices 41 Manifold Geometry | 397 |

Copyright | |

14 other sections not shown

### Other editions - View all

### Common terms and phrases

acid alkali metals alloys applications atoms axis bond brane carbon cell chain chemical column components composition compounds concentration core defined deformation density device electric electrons elements emission energy engine equation example excited ferromagnetic finite flow fluorine flux force frequency fuel function heat HPLC hydrazine hydride hydrogen integral isotactic layer liquid crystal LISP load machine magnetic field mantle masonry materials measure mechanical melting membrane ment metal methods metric tensor mobile phase molecular molecules monomer monopropellants motion nematic nitric acid nitrogen oxide oxygen particles pervaporation plastic polarization polymer pressure propellant properties protons reaction result reverse osmosis rotation sample Section separation sequence shown in Fig smectic sodium solid solution solvent space specific spin steel stress structure surface syndiotactic temperature theorem theory thermal tion ture UDMH units vector velocity viscosity voltage workpiece