Expander

Definitions

  • Dragon-fly emerged, wings expanding
    Dragon-fly emerged, wings expanding
  • Webster's Revised Unabridged Dictionary
    • n Expander Anything which causes expansion esp. Mech a tool for stretching open or expanding a tube, etc.
    • ***

Additional illustrations & photos:

Dragon-fly with expanded wings Dragon-fly with expanded wings

Century Dictionary and Cyclopedia
  • Interesting fact: Water expands 9% when it is frozen
    • n expander One who or that which expands; especially, a tool or machine used to expand something; specifically, in plumbing, a tool used to spread lead-packing into the inner flange-recesses of pipe-connections.
    • n expander A tool used to secure a tube in a plate or sheet so that the joint shall be steam- or water-tight under pressure. The tube is inserted in the hole, which it fits closely but so as to slide or be driven into place. Then within the tube is inserted the expander, having rollers which can be forced out radially against the inside of the tube while they are revolved in place. This pressure rolling-action enlarges the tube and forces its outer surface against the walls of the hole. The end of the tube is usually also headed over.
    • ***

Quotations

  • Stephen R. Covey
    Stephen%20R.%20Covey
    “If you're proactive, you don't have to wait for circumstances or other people to create perspective expanding experiences. You can consciously create your own.”
  • Anais Nin
    Anais%20Nin
    “Life shrinks or expands in proportion to one's courage.”
  • Barry J. Farber
    Barry J. Farber
    “Crime expands according to our willingness to put up with it.”
  • James Russell Lowell
    James%20Russell%20Lowell
    “To educate the intelligence is to expand the horizon of its wants and desires.”
  • Wilferd A. Peterson
    Wilferd A. Peterson
    “Great men are little men expanded; great lives are ordinary lives intensified.”
  • E.R. Hazlip
    E.R. Hazlip
    “Friendship is a horizon -- which expands whenever we approach it.”

Usage

In literature:

He expanded his chest, erected his shoulders and studied himself in the glass: there was undoubted majesty in the glance.
"Bunker Bean" by Harry Leon Wilson
But genius hurries on to expand our hope and dread to incalculable dimensions.
"The Atlantic Monthly, Vol. 13, No. 76, February, 1864" by Various
But as the lovely, peaceful, healing days passed, that bitter and contracted heart had to expand somewhat.
"Slippy McGee, Sometimes Known as the Butterfly Man" by Marie Conway Oemler
Under its operations, the human mind and human soul seemed to expand and to compass a grasp it had scarcely known before.
"The Memories of Fifty Years" by William H. Sparks
But when heated the air expands, and when it expands it becomes lighter.
"Young Folks' Library, Volume XI (of 20)" by Various
He raised his head instinctively, expanded his lungs with the air, and threw out his chest.
"His Excellency the Minister" by Jules Claretie
As an oyster opens, when expecting the tide, so did his soul expand at the contemplation of matrimony.
"Phelim O'toole's Courtship and Other Stories Traits And Stories Of The Irish Peasantry, The Works of William Carleton, Volume Three" by William Carleton
Further on will be found a sketch of these animals in their expanded state.
"Journals Of Two Expeditions Of Discovery In North-West And Western Australia, Vol. 1 (of 2)" by George Grey
The lungs expanded wider and deeper.
"A Man's Woman" by Frank Norris
I this day preserved one of these with its swimming apparatus expanded.
"Journals Of Two Expeditions Of Discovery In North-West And Western Australia, Vol. 2 (of 2)" by George Grey
***

In poetry:

I saw the broad-leaved gates expand,
With circling sweep—that goodly band,
Before the gorgeous portals stand
Of that fair palace, huge and grand.
"Reminiscences of The "Hie Toon" of Hamilton Sixty Years Ago" by Janet Hamilton
WHEN tender Rose-trees first receive
On half-expanded Leaves, the Shower;
Hope's gayest pictures we believe,
And anxious watch each coining flower.
"A Word To Two Young Ladies" by Robert Bloomfield
Oh ! perish the mischievous hand
That transplants the fair rose from the shade
That forces its leaves to expand,
Then dooms the brief graces to fade.
"Morning Walk" by Laura Sophia Temple
From the eyes of heaven up yonder
Golden sparks fall trembling downward,
Through the night, as Love my spirit
Fills, expands through boundless heaven.
"The North Sea -- First Cycle" by Heinrich Heine
Come, sit down on this sunny stone:
'Tis wintry light o'er flowerless moors,
But sit, for we are all alone
And clear expand heaven's breathless shores.
"How Still, How Happy!" by Emily Jane Bronte
Go see some show; pictures or prints;
Or beasts far brought from Indian land;
Those foreign sights oft furnish hints,
That may the youthful mind expand.
"Moderation In Diet" by Charles Lamb

In news:

This is also a year to expand your knowledge, particularly in areas related to business.
Bend electric carmaker to expand.
Alex DeCroce would have been proud to see the law he championed that expands crime victims' rights signed by Gov Chris Christie Tuesday night, his wife said Wednesday.
Bluefield State College is expanding its associate degree nursing program in Beckley.
Kroger Expands Ruler Discount Chain to Ky.
Toys"R"Us is taking aggressive steps toward becoming a bigger player in the highly competitive baby products market, by expanding its offerings under the Babies"R"Us brand.
Jaunty new umbrellas and flower-filled planters give the sidewalk cafe more Euro style, and the three brothers who took over last year have expanded the menu of specials at this Greek taverna to include whole fresh fish.
Eleven years ago, Ursuline Academy came to City Hall seeking to expand its athletic field s and add some lighting and bleachers.
Expanded Medical Coverage Large Part Of State Shortfall.
The State of Mississippi gives but can also take away when it comes to handing companies tens of millions of dollars in bond money to build or expand their operations in the state.
Garmin has expanded the capabilities of the GTN series touchscreen avionics .
Company expanding Alcorn County plant.
In 1986, that service expanded all the way to the United States.
Ideally, an expanded Gatwick or, to a lesser extent, Stansted could relieve the pressure.
Metro plans to expand International Baccalaureate to Antioch High School.
***

In science:

In this section we prove that for the important special case of expanders, there is a linear speed-up for k as large as k ≤ n: Theorem 18 If G is an expander, then the speed-up S k (G) = Ω(k) for k ≤ n.
Many Random Walks Are Faster Than One
Note that for the lemmata we do not need that M expands a field, but only that it expands a group.
O-minimal cohomology: finiteness and invariance results
The reduction in the case of general relational structures needed a generalization of expanders called expander (relational) structures.
Forbidden lists (NP and CSP for combinatorialists)
For a set S in a graph G, let N (S ) denote the neighborhood of S , that is, the set of vertices adjacent to S . (We allow N (S ) to contain elements of S .) A set S of vertices of a graph G is non-expanding if it satisfies |N (S )| < |S |. S is minimally non-expanding if it contains no proper non-expanding subset.
On the Rank of Random Sparse Matrices
An isolated vertex forms a non-expanding set. A set of two vertices of degree one sharing a common neighbor forms a minimal non-expanding set of size 2.
On the Rank of Random Sparse Matrices
***