In literature:
It is still affected by the ideal of the self-made man, rather than by the ideal of industrial nationalism.
"The Frontier in American History" by Frederick Jackson Turner
For nothing is real, in the last analysis, save that which is ideal; and nothing is ideal that is not a spiritual reality.
"The Life Radiant" by Lilian Whiting
The very nature of it excludes an ideal.
"The Root of Evil" by Thomas Dixon
Ideals.+ An ideal is entirely unscientific.
"Folkways" by William Graham Sumner
Can you impart to him your own strong will, your steadfast courage, your high ideal?
"Practical Ethics" by William DeWitt Hyde
Poor old Exham, with its lost ideals!
"Still Jim" by Honoré Willsie Morrow
He was high-minded, cultivated, and united lofty ideals with practical wisdom.
"The Negro and the Nation" by George S. Merriam
We, therefore, advise the young wife to begin wedded life with definite plans and ideals.
"The Eugenic Marriage, Vol. 3 (of 4)" by W. Grant Hague
Many of the qualities which go to make the ideal home-maker belong to the ideal worker in an office.
"The Canadian Girl at Work" by Marjory MacMurchy
Platonism: Reality as the Absolute Ideal or Good 326 Sect.
"The Approach to Philosophy" by Ralph Barton Perry
Military ideals are not different than the ideals which make any man sound in himself, and in his relation to others.
"The Armed Forces Officer" by U. S. Department of Defense
The truth is, there needs a revised ideal of life.
"The Contemporary Review, January 1883" by Various
Such is this ideal world of Phaeacia, still ideal to-day; for where is it realized?
"Homer's Odyssey" by Denton J. Snider
In fact, his ideal is close to earth; it is the ideal which comes from mankind, from tears and sufferings.
"Contemporary Russian Novelists" by Serge Persky
The ideal was not for them, salvation either.
"The Lords of the Ghostland" by Edgar Saltus
The dignity and serene simplicity of her life had of late furnished the one ideal thing for Wyndham's contemplation.
"An Engagement of Convenience" by Louis Zangwill
The man of ideals had never become the man of the world.
"The Wave" by Algernon Blackwood
Have friends, ideals, and God Himself deserted us?
"The Will to Doubt" by Alfred H. Lloyd
Frankfort was over-confident in this power of popular idealism.
"The New Germany" by George Young
Dante has given us pictures of the ideal good and the ideal evil association.
"Is Polite Society Polite?" by Julia Ward Howe
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In poetry:
But two words, and this sweet air.
Soeur Monique,
Had he more, who set you there?
Was his music-dream of you
Of some perfect nun he knew,
Or of some ideal, as true?
"'Soeur Monique'" by Alice Meynell
Seek not my name—it doth no virtue bear;
Seek, seek thine own primeval name to find—
The name God called when thy ideal fair
Arose in deeps of the eternal mind.
"To An Autograph-Hunter" by George MacDonald
And through new eyes I seem to see
The world these live within,--
A shuttered world of mystery,
Where unreal forms begin
The real of ideality
That has no unreal kin.
"Second Sight" by Madison Julius Cawein
Mastro Spaghi taceva--fissandola nel viso;
E nei suoi occhi azzurri--vedeva un paradiso.
Un'iride ideale--di memorie e d'amore,
Di dolci desiderii--soffocati nel cuore.
"Mastro Spaghi" by Ferdinando Fontana
Go, draw them after thee, and lead them on
With thine own music, to the ideal west,
Where, in the youth of ages, vaguely shone
The term of all, the Islands of the Blest.
"One Night I Dreamt" by Digby Mackworth Dolben
O friend, begin a loftier song.
"The sweet ideal of past years
Speaks in my songs, they are my tears:
I'll weep no more, I'll sing no lays
To bury Youth for idle praise!"
""O Friend, Begin A Loftier Song."" by Elizabeth Drew Barstow Stoddard
In news:
It is ideal for broadband RF/microwave circuit, optical communications, and measurement applications.
But the search for the ideal typeface to be inscribed on the Freedom Tower cornerstone at the World Trade Center site ended simply, in Gotham.
Whether it's worn buckled, tied, cinched or snapped, a belt is the ideal way to accessorize an outfit.
An old family photo, left, of Michael Cinque , age 4, and his grandfather makes an ideal label for his homemade wine called Mi Famiglia.
After a year and a half of looking for the ideal location, Gainesville City Commissioners officially signed the lease on a building to be used as a homeless resource center at Monday's commission meeting.
An ideal dish for the weekend, when the chef loves working in the kitchen at home and asking people to join in and help.
The Inside Story of How the War on Terror Turned i nto a War on American Ideals.
An applicant for a CARE member position should ideally have.
Dr Commoner 's overarching concern was not ecology as such but rather a radical ideal of social justice in which everything was indeed connected to everything else.
Compulsion : Final step in left's drive to ideal society.
Anyone who reads my columns has heard me say before that what unites the left is a vision of an ideal society, and what unites the right is a vision of an ideal state.
If the name Comrade Cycles evokes visions of communist ideals, it's intentional.
WrightSoft is formulated in a 3:1 ratio, is highly concentrated and is ideal for yeast-raised sweet goods, pan breads, rolls and artisan breads.
Today marks the last day of "Love Your Body Week," and the blogosphere has been actively posting useful tips on how to love one's own body even if it does not live up to the marketed ideal.
They are ideal for commercial applications that require high volumes of hot water such as restaurants, hotels and laundries.
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In science:
In both type B and type D, Boysal and Kumar wrote down a ﬁnite collection of representations which they conjecture generate the fusion ideal; they also describe an intriguing conjecture relating the fusion ideals for these types to a simple radical ideal.
Fusion Rings of Loop Group Representations
An integral Ideal is a normal Ideal such that M ⊂ Ol (M ). A maximal integral Ideal is an integral Ideal M which is a maximal left Ideal in Ol (M ).
Generalized Maximal Orders
Denition 2.14 A prime Ideal of an R-order Λ is a proper two-sided Ideal P in Λ such that for each pair of two-sided Ideals S and T in Λ with S T ⊂ P we have S ⊂ P or T ⊂ P .
Generalized Maximal Orders
Furthermore, every two-sided Ideal in Λ is uniquely expressible as a product of prime Ideals of Λ, and multiplication of prime Ideals is commutative.
Generalized Maximal Orders
We shall now prove that every two-sided Ideal in Λ is a product of prime Ideals, or an empty product, in which case the Ideal is equal to Λ.
Generalized Maximal Orders
Denition 3.8 A gr-prime Ideal of an R-order Λ is a proper two-sided graded Ideal P in Λ such that for each pair of two-sided graded Ideals S and T in Λ with S T ⊂ P we have S ⊂ P or T ⊂ P .
Generalized Maximal Orders
Consider the subset J R of R. (Note that J R denotes not only products of the form j r , j ∈ J , r ∈ R, but ﬁnite sums of such elements!) It is easy to see that J R is a right ideal in R, and from the fact that J is a G-invariant ideal in Re we conclude that J R is also a left ideal.
Simple group graded rings and maximal commutativity
Since also the converse is true, any ideal is a weak ideal, it follows from the lemma that it is enough to show that U is simple if and only if there are no weak ideals of V (other than 0 and V itself ).
Three-algebras, triple systems and 3-graded Lie superalgebras
Note that since depth(gin≻(I )) ≤ depth(I ) for any generic initial ideal of I , the ideal I is a maximal-gdepth ideal if and only if depth(I ) = depth(gin≻(I )) for every generic initial ideal of I .
Algebraic Properties of Generic Tropical Varieties
For this we ﬁrst show that for a graded ideal I the minimal prime ideals of the initial ideals of I that correspond to the maximal cones in gT(I ) contain no monomial.
Algebraic Properties of Generic Tropical Varieties
An iterative q -difference ideal I ⊂ R (IDq -ideal) is an ideal of R stable by δ (k) R for all k ∈ N.
Iterative q difference Galois Theory
The ring RH is IDq -simple, because for every IDq -ideal P ⊂ RH , the ideal P .R ⊂ R is an IDq -ideal, hence equals (0) or R and so P = (P .R)H is (0) or RH .
Iterative q difference Galois Theory
For example, Landau’s Prime Ideal Theorem provides such a result in the case where G is the set of integral ideals in an algebraic number ﬁeld, P is the set of prime ideals, and |a| is the norm of a.
Maximum GCD Among Pairs of Random Integers
Let Φ be the set of maximal ideals of S which have inertia degree 1 over R and let Ψ be the set of all prime ideals of R which lie under the ideals of Φ.
On the smallest number of generators and the probability of generating an algebra
Since the set of all prime ideals p of R such that rp = r0 is open and contains the zero ideal, we have rp = r0 for all but a ﬁnite number of maximal ideals p.
On the smallest number of generators and the probability of generating an algebra
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