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Some Related Sentences
Many and generalized
Many concepts
and techniques
of analysis
and differential equations have been
generalized to the setting
of Riemannian manifolds
.
Many later Marxist theorists
( e
. g
. Eric Wolfe ) have
generalized this characterization
to include non-European societies
, grouping feudalism together with Imperial Chinese
and pre-Columbian Incan societies
as ' tributary
.
Many such constraints
can be incorporated
by changing the normal Cartesian coordinates
to a set
of generalized coordinates that may
be fewer
in number
.
Many order theoretical definitions
for partially ordered sets
can be generalized to preorders
, but the extra effort
of generalization is rarely needed
.
Many of the same entropy measures
in classical
information theory
can also
be generalized to the quantum case
, such as Holevo entropy
and the conditional quantum entropy
.
Many concepts from ring theory
, such as ideals
, Jacobson radicals
, and factor rings
can be generalized in a straightforward manner
to this setting
.
Many linear homogeneous recurrence relations may
be solved
by means
of the
generalized hypergeometric series
.
( Many mathematicians use the label
generalized Riemann hypothesis
to cover the extension
of the Riemann hypothesis
to all global L-functions
,
Many aspects
of the theory
of Fourier series could
be generalized by taking expansions
in spherical harmonics rather than trigonometric functions
.
Many of the characteristic ANT tools
( including the notions
of translation
, generalized symmetry
and the “ heterogeneous network ”), together with
a scientometric tool
for mapping innovations
in science
and technology (“ co-word analysis ”) were initially developed during the 1980s
, predominantly
in and around the CSI
.
Many companies create their own customized version
of SOWs that are specialized
or generalized to accommodate typical request
and proposals they receive
.
Many regression methods
, including ridge regression
, linear smoothers
and smoothing splines are not based on ordinary least squares projections
, but rather on regularized
( generalized and / or penalized ) least-squares
, and so degrees
of freedom defined
in terms
of dimensionality is generally not useful
for these procedures
.
Many operations on ordinary matrices
can be generalized to supermatrices
, although the generalizations are not always obvious
or straightforward
.
Many and items
Many goods
and items are restricted from being sold between midnight
and noon on Sunday
, rendering virtually all retailers closed
in those hours
, including malls
and large retail chains
such as Walmart
.
Many stores have
a limited quantity
of big draw
or deeply discounted
items.
Many crocheted
items are composed
of individual motifs which are then joined together
, are
by sewing
or crocheting
, whereas knitting is usually composed
of one fabric
, such as entrelac
.
Many of the
items in the list below are taken from
.
Many of the coinages that have been considered
( often
by Aavik himself )
as words concocted ex nihilo could well have been influenced
by foreign lexical
items, for example words from Russian
, German
, French
, Finnish
, English
and Swedish
.
Many other British engineers
and craftsmen were imported
to assist with the project
, along with significant quantities
of equipment-even apparently mundane
items such as pickaxes
, spades
and wheelbarrows
.
Many food
items are wrapped
in Filo pastry
, either
in bite-size triangles
or in large sheets: kotopita
( chicken
), spanakotyropita
( spinach
and cheese
), chortopita
( greens
), kreatopita
( meat pie
, using minced meat
), etc.
Many authorities say that missiles also release aluminized balloons
, electronic noisemakers
, and other items intended
to confuse interception devices
and radars
( see penetration aid ).
Many items of jewellery
, such as brooches
and buckles
, originated
as purely functional
items, but evolved into decorative
items as their functional requirement diminished
.
Many Jello dishes
, such as desserts
and jello salads
, became special occasion foods rather than everyday
items.
Many essential
items are able
to be duplicated e
. g
. water tanks
, fuel tanks
and toilets
.
Many urban dwellers ' shelves were stocked with contraband luxury
items.
Many police departments advise burglary
or robbery victims
to visit local pawnshops
to see if they
can locate stolen
items.
Many pawnshops will also trade used
items, as long
as the transaction turns
a profit
for pawn shop
.
Many well known uses
of silver involve its precious metal properties
, including currency
, decorative
items and mirrors
.
Many items such as squash
, tomatoes
, corn
( and its derivatives
, including grits
), as well
as the practice
of deep pit barbecuing were inherited from the southeastern American Indian tribes
such as the Caddo
, Choctaw
, and Seminole
.
Many authorities say that
in the limit
, the cost
of self-replicating
items should approach the cost-per-weight
of wood
or other biological substances
, because self-replication avoids the costs
of labor
, capital
and distribution
in conventional manufactured goods
.
Many of the titles only featuring one path
to the solution
, and in some cases this
can only
be achieved
by obtaining various story
items ( e
. g
. gems
in Deathtrap Dungeon ).
Many people use their clothing
as packing
material around fragile
items that might otherwise break
in transit
.
Many items have been used
as money
, from naturally scarce precious metals
and cowry shells through cigarettes
to entirely artificial money
, called fiat money
, such as banknotes
.
Many iwi owned flour mills
, ships
and other items of European technology
, some exported food
to Australia
.
Many of Patton's directives on caring
for the enlisted men under his command
, such as ordering that captured supplies
of enemy food
and liquor
be delivered
to frontline units were overlooked
in the media
in favor
of more popular news
items, such as his system
of fines
for officers
and men who failed
to shave daily
and wear helmets
and leggings at all
times.
Many items of archaeological interest from this Hellenic era have been retrieved
and are displayed
in various places locally
.
Many and can
Many readers
of this department no doubt discount certain
of my opinions
for the simple reason that they
can guess pretty accurately
, even if they have never actually been told
, what my age is
.
Many of you will say
, `` Well
, what
can I do ''??

"
Many illnesses
can be cured
by the one medicine
of love
and compassion
.
Many alloys
of aluminium
, copper
, magnesium
, titanium
, and nickel
can be strengthened
to some degree
by some method
of heat treatment
, but few respond
to this
to the same degree that steel does
.
Many anagram servers
( for example
, the Internet Anagram Server )
can control the search results
, by excluding
or including certain words
, limiting the number
or length
of words
in each anagram
, or limiting the number
of results
.
Many processes are close
to adiabatic
and can be easily approximated
by using an adiabatic assumption
, but there is always some heat loss ;
as no perfect insulators exist
.
Many useful array slicing operations
( such as selecting
a sub-array
, swapping indices
, or reversing the direction
of the indices )
can be performed very efficiently
by manipulating the dope vector
.
Many alkaloids
can be purified from crude extracts
by acid-base extraction
.
Many methods
, once developed
, are kept purposely static so that data
can be compared over long periods
of time
.
Many of these noise sources are narrow bandwidth
and therefore
can be avoided
.
Many different methods
can be used
to stimulate apoptosis
in various places along the death signaling pathway
.
Many find aberration
to be counter-intuitive
, and a simple thought experiment based on everyday experience
can help
in its
understanding.
Many areas average
of rain per week
, and these
can use
a cistern
as small
as.
Many autonomous homes
can reduce water use below per person per day
, so that
in a drought
a month
of water
can be delivered inexpensively via truck
.
Many board games are now available
as video games
, which
can include the computer itself
as one
of several players
, or as sole opponent
.
Many board games
can now
be played online against
a computer
and / or other players
.
Many BBSes also offer on-line games
, in which users
can compete with each
other, and BBSes with multiple
phone lines often provide chat rooms
, allowing users
to interact with each
other.
Many types
of packaging
can be made from biopolymers: food trays
, blown starch pellets
for shipping fragile goods
, thin films
for wrapping
.
Many of the cartoons
and art Watterson did at Kenyon
can be found online
.
Many primates
can stand upright on their hind legs without any support
.
Many people regard bare female breasts
to be erotic
, and they
can elicit heightened sexual desires
in some men
in some cultures
.
Many professional VTRs
can " burn "
( overlay ) the tape timecode onto one
of their composite outputs
.
Many of the instances that occur
in practical applications
can be solved much more quickly
.
Many practical problems are actually " easy ", so the SAT solver
can easily find
a solution
, or prove that none exists
, relatively quickly
, even though the instance has thousands
of variables
and tens
of thousands
of constraints
.
0.601 seconds.