In literature:
A form was before the window; a marvellous form.
"Toilers of the Sea" by Victor Hugo
The desirable type of acid-forming bacteria do not form spores; hence, are easily killed by heating the milk.
"Outlines of dairy bacteriology" by H. L. Russell
In other words, water-formed rocks are baked until they become fire-formed rocks.
"Earth and Sky Every Child Should Know" by Julia Ellen Rogers
It is difficult to form an exact judgment of Eeckhout's qualities at the outset of his career.
"Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 1" by Various
They will grow away readily, and soon form good trees or shrubs as the case may be.
"Trees and Shrubs for English Gardens" by Ernest Thomas Cook
Gage ordered his men to fix bayonets and form in order of battle.
"The Student's Life of Washington; Condensed from the Larger Work of Washington Irving" by Washington Irving
They must form a strong union or leave themselves at the mercy of ambitious foes.
"The Greater Republic" by Charles Morris
Common camphor forms a translucent mass of hexagonal prisms, melting at 175 deg.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 2" by Various
Forms of Troubadour Poetry.
"A Short History of French Literature" by George Saintsbury
Just as several genres form a phratry so in the classical form several phratries form a tribe.
"The Origin of the Family Private Property and the State" by Frederick Engels
On cooling them he found that the oxide formed by this process had taken the form of the plants.
"Principles of Geology" by Charles Lyell
The whole form sat in rigid stillness; and the mistress put her question in a slightly different form.
"Just Gerry" by Christine Chaundler
In cases where but one form is preserved, that form is not necessarily the singular one.
"The English Language" by Robert Gordon Latham
A mound of maiden-hair ferns formed the centerpiece.
"The Century Cook Book" by Mary Ronald
Examine a cocoon, noting its outer form and structure, and look for an opening at the top.
"A Guide for the Study of Animals" by Worrallo Whitney
By the decree of 1903 the school forms part of the University of Paris.
"The New Gresham Encyclopedia" by Various
The more elaborate sketch which forms the frontispiece represents a machine of similar character.
"A History of the Growth of the Steam-Engine" by Robert H. Thurston
Invariably, the new form is an improvement on the older and more stilted form.
"Book of Etiquette" by Lillian Eichler
The artistic form is the monologue, however conscious or unconscious may have been the author's adoption of the form.
"Browning and the Dramatic Monologue" by S. S. Curry
Criminals form a variety of the human family quite distinct from law-abiding men.
"Degeneracy" by Eugene S. Talbot
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In poetry:
And loudly did he shriek, for lo!
A Spirit met his view,
And Eberhard in the angel form
His own Donica knew.
"Donica - A Ballad" by Robert Southey
Where is my brother? Can it be,
That we shall never more
Behold his form upon the earth,
As oft, so oft, before.
"Where Is Our Brother?" by James Avis Bartley
"When you awake next day, I trow,
You'll look in form and hue
To others just as you do now -
But not to PILLALOO!
"The Cunning Woman" by William Schwenck Gilbert
He saw a happy woman lie
Her true man's form beside;
And laugh as on the bed they tossed
A smiling child in pride.
"Dunolly's Daughter" by John Douglas Sutherland Campbell
Can any think that God should take
That pains, to form a man
So like himself, only to make
Him here a moment stand?
"An Introduction To The Ensuing Discourse." by John Bunyan
An air of peace and happiness
Pervaded all the scene;
The tall trees formed a back ground
Of rich and varied green;
"The Old Bachelor's Story" by John Hartley
In news:
Are They an Art Form or a Craft.
In that way, defining whether wine is art is not easy, or whether winemaking is an art form .
The Memoir as Art Form .
With coming season, 'We Always Swing' jazz series seeks to further America's art form .
Noted muralist returns home to Grand Junction to revive his art form .
NYC's exotic dance scene weighs in: Is stripping an art form .
One cartoonist has elevated that humor to an art form , using his pen to poke fun and make a powerful point.
Eli Manning has turned 'aw, shucks' into an art form .
Pumpkin sculptors create eerie art form .
Stained-glass artist offers kaleidoscopic view of her art form .
Raising stupidity to an art form .
The Light Bulb as Art Form .
OurWeekly > issues-archive > bargain-hunting-raised- art-form .
SF designers create new art form with music, images.
Elevating Butter to an Art Form .
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In science:
Therefore, dimk T = 4 and T is endowed with a nondegenerate symmetric bilinear form (.|.), invariant under inder(T ), as so does V ⊗ V with respect to sp(V ) ⊕ sp(V ) (the symmetric bilinear form is just the tensor product of the alternating forms on each copy of V ).
New simple Lie superalgebras in characteristic 3
For convenience, the basis used here corresponds to that presented in , so that the eight forms will be presented as a set of four real 1-forms and two complex 1-forms.
On global models for isolated rotating axisymmetric charged bodies; uniqueness of the exterior field
Since harmonic forms are closed then if γk is harmonic and dγk = 0 hence (βk+1 , dγk ) = (δβk+1 , γk ) = 0 showing the mutual orthogonality between coexact and harmonic forms. likewise δγk = 0 hence (αk−1 , δγk ) = (dαk−1 , γk ) = 0 showing the mutual orthogonality between exact and harmonic forms.
The Signature of a Manifold
Hence, Poisson’s equation △ψ = ω − P ω has a solution that can be written as ψ = △−1 (ω − P ω ) In conclusion, it makes sense to write ω = △ψ + P ω = (dδ + δd)ψ + P ω = d(δψ) + δ(dψ) + P ω that reads: any form can be orthogonally decomposed as a sum of an exact form plus a coexact form plus a harmonic form.
The Signature of a Manifold
The ﬁrst requirement is automatically fulﬁlled because any harmonic form is closed and the second relies on the fact that harmonic forms and exact forms are orthogonal one to another.
The Signature of a Manifold
Indeed, over p−forms ∗ produces an (n-p)-form over which d produces a (n − p + 1)-form and hence δ = − ∗ d∗ produces a n − (n − p + 1)-form or a p − 1 form.
The Signature of a Manifold
We know that if J = in/2+p(p−1)∗ operates over p-forms, it produces n − p-forms, so a new application of J operates over (n − p)-forms and hence J takes the form J = in/2+(n−p)(n−p−1)∗.
The Signature of a Manifold
Since H 1 (Gal, On ( ¯F)) is in canonical bijective correspondence with classes of non-degenerate bilinear forms in n variables over F (see, e.g., ), we ﬁnd that all F-forms of H (m, n) and K (m, n) are deﬁned by the action on supersymplectic and supercontact forms over F, respectively.
Automorphisms and forms of simple infinite-dimensional linearly compact Lie superalgebras
For a canonical form of the matrix of the form B , one usually takes J2n for the skew forms and 1n , Πn or S (n) for symmetric forms, see [FH].
Non-degenerate bilinear forms in characteristic 2, related contact forms, simple Lie algebras and superalgebras
The Arf invariant, however, can not be used for classiﬁcation of symmetric bilinear forms because one symmetric bilinear form can serve as the polar form for two non-equivalent (and having different Arf invariants) quadratic forms.
Non-degenerate bilinear forms in characteristic 2, related contact forms, simple Lie algebras and superalgebras
Albert also gave some results on the classiﬁcation of quadratic forms over a ﬁeld K of characteristic 2 (considered as elements of the quotient space of all bilinear forms by the space of symmetric alternate forms).
Non-degenerate bilinear forms in characteristic 2, related contact forms, simple Lie algebras and superalgebras
If p = 2, there is no canonical way 3.1 Non-symmetric bilinear forms: Discussion. to separate symmetric part of a given bilinear form from its non-symmetric part, so in this subsection B is just a non-symmetric form.
Non-degenerate bilinear forms in characteristic 2, related contact forms, simple Lie algebras and superalgebras
Instead of considering non-symmetric forms individually, we can consider the quotient space N B (n) of the space of all forms modulo the space of symmetric forms.
Non-degenerate bilinear forms in characteristic 2, related contact forms, simple Lie algebras and superalgebras
This expression (with L in the Jordan normal form) can be considered as a canonical form of a non-degenerate odd bilinear form.
Non-degenerate bilinear forms in characteristic 2, related contact forms, simple Lie algebras and superalgebras
Since, by deﬁnition, two 1-forms that correspond to 1-(super)form-equivalent bilinear forms can be transformed into each other by a change of coordinates, we are done.
Non-degenerate bilinear forms in characteristic 2, related contact forms, simple Lie algebras and superalgebras
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