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* Every finite tree with n vertices, with, has at least two terminal vertices ( leaves ).

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## Some Related Sentences

Every and finite

** Tukey's lemma:

__Every__non-empty collection of__finite__character**has**a maximal element**with**respect to inclusion.
Hilbert's example: " the assertion that either there are only finitely many prime numbers or there are infinitely many "

**(**quoted in Davis 2000: 97 ); and Brouwer's: "__Every__mathematical species is either__finite__or infinite.*****

__Every__

__finite__topological space gives rise to a preorder on its points

**,**in which x ≤ y if and only if x belongs to every neighborhood of y

**,**and every

__finite__preorder can be formed as the specialization preorder of a topological space in this way.

__Every__rational number /

**has**

**two**closely related expressions as a

__finite__continued fraction

**,**whose coefficients can be determined by applying the Euclidean algorithm to.

__Every__

__finite__group of exponent

**n**

**with**m generators is a homomorphic image of B < sub > 0 </ sub >( m

**,**

**n**

**).**

__Every__known Sierpinski number k

**has**a small covering set

**,**a

__finite__set of primes

**with**

**at**

**least**one dividing k · 2 < sup >

**n**</ sup >+ 1 for each

**n**> 0.

__Every__finite-dimensional Hausdorff topological vector space is reflexive

**,**because J is bijective by linear algebra

**,**and because there is a unique Hausdorff vector space topology on a

__finite__dimensional vector space.

:

__Every__oriented prime closed 3-manifold can be cut along tori**,**so that the interior of each of the resulting manifolds**has**a geometric structure**with**__finite__volume.__Every__

__finite__or bounded interval of the real numbers that contains an infinite number of points must have

**at**

**least**one point of accumulation.

__Every__field of either type can be realized as the field of fractions of a Dedekind domain in which every non-zero ideal is of

__finite__index.

__Every__process involving charged particles emits infinitely many coherent photons of infinite wavelength

**,**and the amplitude for emitting any

__finite__number of photons is zero.

*****

__Every__finite-dimensional central simple algebra over a

__finite__field must be a matrix ring over that field.

Every and tree

__Every__morning early

**,**in the summer

**,**we searched the trunks of the trees as high as we could reach for the locust shells

**,**carefully detached their hooked claws from the bark where they hung

**,**and stabled them

**,**a weird faery herd

**,**in an angle between the high roots of the tulip

__tree__

**,**where no grass grew in the dense shade.

__Every__McIntosh apple

**has**a direct lineage to a single

__tree__discovered in 1796 by John McIntosh on his farm in Dundela

**,**a hamlet near Morrisburg

**,**in Dundas County

**,**Ontario

**,**Canada.

*****

__Every__connected graph G admits a spanning

__tree__

**,**which is a

__tree__that contains every vertex of G and whose edges are edges of G.

__Every__December

**,**the city holds a Festival of Trees in the ice skating rink and the Tree Lighting Ceremony in which residents of Vacaville gather in downtown to see a

__tree__illuminate and enjoy festive music played by the amazing Jepson Band

**,**hot chocolate

**,**and horse-drawn carriage rides.

__Every__year

**,**a huge

__tree__would be shipped from the Pacific Northwest to Lantana by rail to the grounds of the National Enquirer

**,**adjacent to the Florida East Coast Railway tracks.

And finally

**,**the residents pleaded that “__Every____tree__that can possibly be saved must be saved .” And so**,**in came the construction crews.__Every__cover features the same image of a

__tree__

**(**held to represent that " all is life "), and on the back the phrase: " time is the invention of men incapable of love ".

__Every__year a thousand new branches spring up from that

__tree__and all kinds of seeds hang on those branches and all those seeds become ripe.

__Every__graph

**(**that is connected and not a

__tree__)

**has**multiple spanning trees

**,**so we once again have an example where the problem itself allows multiple possible outcomes

**,**and the algorithm chosen can arrive

**at**any one of them

**,**but will never arrive

**at**something else.

__Every__Christmas

**,**Victoria Square forms the centrepiece for the Frankfurt Christmas Market and Craft Fair which also extends into New Street and abuts onto a craft fair in Chamberlain Square

**,**

**with**the city's official Christmas

__tree__

**,**donated each year by Sandvik

**,**also standing in the square.

__Every__year the town erects a public Christmas

__tree__and every child

**,**local or visitor

**,**is given a present.

__Every__year the lights are switched on in the Thoroughfare and then people gather near St Mary's to see the Christmas

__tree__being lit up.

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