formulasearchengine - User contributions [en]

Frink ideal

2014-10-08T07:58:06Z

129.125.51.184: Clarified that the upper and lower bounds are common upper/lower bounds.

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Fluid conductance

2014-01-08T16:25:59Z

129.125.15.82: /* Example from vacuum technology */ Fix typos exmaple/conducance

{{for||Weil–Châtelet group|Mordell–Weil group|Weyl group}}
In mathematics, a '''Weil group''', introduced by {{harvs|txt|authorlink=André Weil|last=Weil|year=1951}}, is a modification of the [[absolute Galois group]] of a [[local field|local]] or [[global field]], used in [[class field theory]]. For such a field ''F'', its Weil group is generally denoted ''WF''. There also exists "finite level" modifications of the Galois groups: if ''E''/''F'' is a [[finite extension]], then the '''relative Weil group''' of ''E''/''F'' is ''WE''/''F'' = ''WF''/{{SubSup|''W''|''E''|''c''}} (where the superscript ''c'' denotes the [[commutator subgroup]]).

For more details about Weil groups see {{harv|Artin|Tate|2009}} or {{harv|Tate|1979}} or {{harv|Weil|1951}}.

==Weil group of a class formation==

The '''Weil group''' of a [[class formation]] with fundamental classes ''u''''E''/''F'' ∈ ''H''2(''E''/''F'', ''A''''F'') is a kind of modified Galois group, used in various formulations of class field theory, and in particular in the [[Langlands program]].

If ''E''/''F'' is a normal layer, then the (relative) Weil group ''WE''/''F'' of ''E''/''F'' is the extension
:1 → ''A''''F'' → ''WE''/''F'' → Gal(''E''/''F'') → 1
corresponding (using the interpretation of elements in the second [[group cohomology]] as central extensions) to the fundamental class ''u''''E''/''F'' in ''H''2(Gal(''E''/''F''), ''A''''F''). The Weil group of the whole formation is defined to be the inverse limit of the Weil groups of all the layers
''G''/''F'', for ''F'' an open subgroup of ''G''.

The reciprocity map of the class formation (''G'', ''A'') induces an isomorphism from ''AG'' to the abelianization of the Weil group.

==Weil group of an archimedean local field==

For archimedean local fields the Weil group is easy to describe: for '''C''' it is the group '''C'''× of non-zero complex numbers, and for '''R''' it is a non-split extension of the Galois group of order 2 by the group of non-zero complex numbers, and can be identified with the subgroup '''C'''× ∪ ''j'' '''C'''× of the non-zero quaternions.

==Weil group of a finite field==

For finite fields the Weil group is [[infinite cyclic]]. A distinguished generator is provided by the [[Frobenius automorphism]]. Certain conventions on terminology, such as [[arithmetic Frobenius]], trace back to the fixing here of a generator (as the Frobenius or its inverse).

==Weil group of a local field==

For local of characteristic ''p'' > 0, the Weil group is the subgroup of the absolute Galois group of elements that act as a power of the Frobenius automorphism on the constant field (the union of all finite subfields).

For ''p''-adic fields the Weil group is a dense subgroup of the absolute Galois group, consisting of all elements whose image in the Galois group of the residue field is an integral power of the Frobenius automorphism.

More specifically, in these cases, the Weil group does not have the subspace topology, but rather a finer topology. This topology is defined by giving the inertia subgroup its subspace topology and imposing that it be an open subgroup of the Weil group. (The resulting topology is "[[locally profinite group|locally profinite]]".)

==Weil group of a function field==

For global fields of characteristic ''p''>0 (function fields), the Weil group is the subgroup of the absolute Galois group of elements that act as a power of the Frobenius automorphism on the constant field (the union of all finite subfields).

==Weil group of a number field==

For number fields there is no known "natural" construction of the Weil group without using cocycles to construct the extension. The map from the Weil group to the Galois group is surjective, and its kernel is the connected component of the identity of the Weil group, which is quite complicated.

==Weil–Deligne group==

The '''Weil–Deligne group scheme''' (or simply '''Weil–Deligne group''') ''W''′''K'' of a non-archimedean local field, ''K'', is an extension of the Weil group ''WK'' by a one-dimensional additive group scheme ''G''''a'', introduced by {{harvtxt|Deligne|1973|loc=8.3.6}}. In this extension the Weil group acts on the
additive group by
:<math> \displaystyle wxw^{-1} = ||w||x</math>
where ''w'' acts on the residue field of order ''q'' as ''a''→''a''''q''||''w''||.

The local Langlands correspondence for GL''n'' over ''K'' (now proved) states that there is a natural bijection between isomorphism classes of irreducible admissible representations of GL''n''(''K'') and certain ''n''-dimensional representations of the Weil–Deligne group of ''K''.

The Weil–Deligne group often shows up through its representations. In such cases, the Weil–Deligne group is sometimes taken to be ''WK'' × ''SL''(2,'''C''') or ''WK'' × ''SU''(2,'''R'''), or is simply done away with and [[Weil–Deligne representation]]s of ''WK'' are used instead.<ref>{{harvnb|Rohrlich|1994}}</ref>

In the archimedean case, the Weil–Deligne group is simply defined to be Weil group.

==Langlands group==
[[Robert Langlands]] introduced a conjectural group ''LF'' attached to each local or global field ''F'', coined the '''Langlands group''' of ''F'' by [[Robert Kottwitz]], that satisfies properties similar to those of the Weil group. In Kottwitz's formulation, the Langlands group should be an extension of the Weil group by a compact group. When ''F'' is local, ''LF'' is the Weil–Deligne group of ''F'', but when ''F'' is global, the existence of ''LF'' is still conjectural. The Langlands correspondence for ''F'' is a "natural" bijection between the irreducible ''n''-dimensional complex representations of ''LF'' and, in the local case, the irreducible admissible representations of GL''n''(''F''), in the global case, the cuspidal automorphic representations of GL''n''('''A'''''F''), where '''A'''''F'' denotes the [[adele ring|adele]]s of ''F''.<ref>{{harvnb|Kottwitz|1984|loc=§12}}</ref>

==See also==

*[[Shafarevich–Weil theorem]]

==Notes==
{{reflist}}

==References==

*{{Citation | last1=Artin | first1=Emil | author1-link=Emil Artin | last2=Tate | first2=John | author2-link=John Tate | title=Class field theory | origyear=1952 | url=http://books.google.com/books?isbn=978-0-8218-4426-7 | publisher=AMS Chelsea Publishing, Providence, RI | isbn=978-0-8218-4426-7 | mr=0223335 | year=2009}}
*{{Citation | last1=Deligne | first1=Pierre | author1-link=Pierre Deligne | title=Modular functions of one variable, II (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972) | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Lecture notes in mathematics | doi=10.1007/978-3-540-37855-6_7 | mr=0349635 | year=1973 | volume=349 | chapter=Les constantes des équations fonctionnelles des fonctions L | pages=501–597}}
*{{Citation
| last=Kottwitz
| first=Robert
| title=Stable trace formula: cuspidal tempered terms
| year=1984
| journal=Duke Mathematical Journal
| volume=51
| issue=3
| pages=611–650
| doi=10.1215/S0012-7094-84-05129-9
| mr=0757954
}}
*{{Citation
| last=Rohrlich
| first=David
| contribution=Elliptic curves and the Weil–Deligne group
| title=Elliptic curves and related topics
| editor-last=Kisilevsky
| editor-first=Hershey
| editor2-last=Murty
| editor2-first=M. Ram
| year=1994
| isbn=978-0-8218-6994-9
| volume=4
| series=CRM Proceedings and Lecture Notes
| publisher=[[American Mathematical Society]]
}}
*{{citation|last=Tate|first= J. |chapter=Number theoretic background |url=http://www.ams.org/online_bks/pspum332/ |title=Automorphic forms, representations, and L-functions Part 2, |pages= 3–26|series=Proc. Sympos. Pure Math.|volume= XXXIII|publisher= Amer. Math. Soc.|publication-place= Providence, R.I.|year=1979|isbn=0-8218-1435-4}}
* {{Citation | last1=Weil | first1=André | author1-link = André Weil | title=Sur la theorie du corps de classes (On class field theory) | year=1951 | journal=Journal of the Mathematical Society of Japan | issn=0025-5645 | volume=3 | pages=1–35 | doi=10.2969/jmsj/00310001}}, reprinted in volume I of his collected papers, ISBN 0-387-90330-5

[[Category:Class field theory]]

Two-dimensional infrared spectroscopy

2013-12-13T08:42:47Z

129.125.7.208: /* Spectral interpretation */ Reference to freely available simulation packages made

In the [[mathematics|mathematical]] theory of [[harmonic analysis]], the '''Riesz transforms''' are a family of generalizations of the [[Hilbert transform]] to [[Euclidean space]]s of dimension ''d'' > 1. They are a type of [[singular integral operator]], meaning that they are given by a [[convolution]] of one function with another function having a singularity at the origin. Specifically, the Riesz transforms of a complex-valued function ƒ on '''R'''''d'' are defined by
{{NumBlk|:|<math>R_jf(x) = c_d\lim_{\epsilon\to 0}\int_{\mathbf{R}^d\backslash B_\epsilon(0)}\frac{(t_j-x_j)f(t)}{|x-t|^{d+1}}\,dt</math>|{{EquationRef|1}}}}
for ''j'' = 1,2,...,''d''. The constant ''c''''d'' is a dimensional normalization given by

:<math>c_d = \frac{1}{\pi\omega_{d-1}} = \frac{\Gamma[(d+1)/2]}{\pi^{(d+1)/2}}.</math>

where ω''d''−1 is the volume of the (''d'' − 1)-ball. The limit is written in various ways, often as a [[Cauchy principal value|principal value]], or as a [[convolution]] with the [[tempered distribution]]

:<math>K(x) = \frac{1}{\pi\omega_{d-1}} \, p.v. \frac{x_j}{|x|^{d+1}}.</math>

The Riesz transforms arises in the study of differentiability properties of harmonic potentials in [[potential theory]] and [[harmonic analysis]]. In particular, they arise in the proof of the [[Calderón-Zygmund inequality]] {{harv|Gilbarg|Trudinger|1983|loc=§9.4}}.

==Multiplier properties==

The Riesz transforms are given by a [[Fourier multiplier]]. Indeed, the [[Fourier transform]] of ''R''''j''ƒ is given by

:<math>\mathcal{F}(R_jf)(x) = i\frac{x_j}{|x|}(\mathcal{F}f)(x)</math>

(up to an overall positive constant depending on the normalization of the Fourier transform). In this form, the Riesz transforms are seen to be generalizations of the Hilbert transform. The kernel is a [[distribution (mathematics)|distribution]] which is [[homogeneous function|homogeneous]] of degree zero. A particular consequence of this last observation is that the Riesz transform defines a [[bounded linear operator]] from ''L''2('''R'''''d'') to itself.<ref>Strictly speaking, the definition ({{EquationNote|1}}) may only make sense for [[Schwartz function]] ''f''. Boundedness on a dense subspace of ''L''2 implies that each Riesz transform admits a continuous linear extension to all of ''L''2.</ref>

This homogeneity property can also be stated more directly without the aid of the Fourier transform. If σ''s'' is the [[homothety|dilation]] on '''R'''''d'' by the scalar ''s'', that is σ''s''''x'' = ''sx'', then σ''s'' defines an action on functions via [[pullback (differential geometry)|pullback]]:

:<math>\sigma_s^* f = f\circ\sigma_s.</math>

The Riesz transforms commute with σ''s'':

:<math>\sigma_s^* (R_jf) = R_j(\sigma_x^*f).</math>

Similarly, the Riesz transforms commute with translations. Let τ''a'' be the translation on '''R'''''d'' along the vector ''a''; that is, τ''a''(''x'') = ''x'' + ''a''. Then

:<math>\tau_a^* (R_jf) = R_j(\tau_a^*f).</math>

For the final property, it is convenient to regard the Riesz transforms as a single [[Vector (geometric)|vectorial]] entity ''R''ƒ = (''R''1ƒ,…,''R''''d''ƒ). Consider a [[rotation]] ρ in '''R'''''d''. The rotation acts on spatial variables, and thus on functions via pullback. But it also can act on the spatial vector ''R''ƒ. The final transformation property asserts that the Riesz transform is [[equivariant]] with respect to these two actions; that is,

:<math>\rho^* R_j [(\rho^{-1})^*f] = \sum_{k=1}^d \rho_{jk} R_kf.</math>

These three properties in fact characterize the Riesz transform in the following sense. Let ''T''=(''T''''1'',…,''T''''d'') be a ''d''-tuple of bounded linear operators from ''L''2('''R'''''d'') to ''L''2('''R'''''d'') such that

* ''T'' commutes with all dilations and translations.
* ''T'' is equivariant with respect to rotations.

Then, for some constant ''c'', ''T'' = ''cR''.

==Relationship with the Laplacian==
Somewhat imprecisely, the Riesz transforms of ƒ give the first [[partial derivative]]s of a solution of the equation

:<math>{(-\Delta)^{\frac{1}{2}} u = f},</math>

where Δ is the Laplacian. Thus the Riesz transform of ƒ can be written as:

:<math>{R f = \nabla (-\Delta)^{-\frac{1}{2}}f}</math>

In particular, one should also have
:<math>R_iR_j\Delta u = -\frac{\partial^2u}{\partial x_i\partial x_j},</math>
so that the Riesz transforms give a way of recovering information about the entire [[Hessian matrix|hessian]] of a function from knowledge of only its Laplacian.

This is now made more precise. Suppose that ''u'' is a [[Schwartz function]]. Then indeed by the explicit form of the Fourier multiplier, one has
:<math>R_iR_j(\Delta u) = -\frac{\partial^2u}{\partial x_i\partial x_j}.</math>
The identity is not generally true in the sense of [[distribution (mathematics)|distributions]]. For instance, if ''u'' is a [[tempered distribution]] such that Δ''u'' ∈ ''L''2('''R'''''d''), then one can only conclude that
:<math>\frac{\partial^2u}{\partial x_i\partial x_j} = -R_iR_j\Delta u + P_{ij}(x)</math>
for some polynomial ''P''''ij''.

==See also==
* [[Poisson kernel]]
* [[Riesz potential]]

==References==
{{Reflist}}
* {{citation|first1=D.|last=Gilbarg|first2=Neil|last2=Trudinger|authorlink2=Neil Trudinger|title=Elliptic Partial Differential Equations of Second Order|publisher=Springer|publication-place=New York|year=1983|isbn=3-540-41160-7}}.
* {{citation|first=Elias|last=Stein|authorlink=Elias Stein|title=Singular integrals and differentiability properties of functions|publisher=Princeton University Press|year=1970}}.
* {{citation|first1=Elias|last1=Stein|authorlink1=Elias Stein|first2=Guido|last2=Weiss|title=Introduction to Fourier Analysis on Euclidean Spaces|publisher=Princeton University Press|year=1971|isbn=0-691-08078-X}}.
* {{citation|first1=N.|last=Arcozzi|title=Riesz Transform on spheres and compact Lie groups|publisher=Springer|publication-place=New York|year=1998|issn=0004-2080}}.

[[Category:Harmonic analysis]]
[[Category:Integral transforms]]
[[Category:Potential theory]]
[[Category:Singular integrals]]

Stereology

2013-10-08T09:19:12Z

129.125.178.72: /* Sampling principles */ The use of the word 'we' should be avoided.

{{distinguish|Doppler ultrasound}}
Inhomogeneous structures on stellar surfaces, i.e. temperature differences, chemical composition or [[magnetic field]]s, create characteristic distortions in the spectral lines due to the [[Doppler effect]]. These distortions will move across [[spectral line]] profiles due to the stellar rotation. The technique to reconstruct these structures on the stellar surface is called '''Doppler-imaging''', often based on the [[Maximum Entropy]] image reconstruction to find the stellar image. This technique gives the smoothest and simplest image that is consistent with observations.

To understand the magnetic field and activity on stars studies of the [[Sun]] is not sufficient, therefore studies of other stars are necessary. Periodic changes in brightness have long been observed in stars which indicate cooler or brighter [[starspot]]s on the surface. These spots are larger than the ones on the Sun, covering up to 20% of the star. Spots with similar size as the ones on the Sun would hardly give rise to changes in intensity. In order to understand the magnetic field structure of a star it is not enough to know that spots exist, their location and extent are also important.

==History==
Doppler imaging was first used to map chemical peculiarities on the surface of [[Ap and Bp star|Ap stars]]. For mapping starspots it was first used by [[Steven Vogt]] and Donald Penrod in 1983, when they demonstrated that signatures of starspots were observable in the line profiles of the active [[binary star]] HR 1099 (V711 Tau); from this they could derive an image of the stellar surface.

==Criteria for Doppler Imaging==
In order to be able to use the Doppler imaging technique the star needs to fulfill some specific criteria.
*The [[stellar rotation]] needs to be the dominating effect broadening spectral lines, <math>V \sin i=10-100km s^{-1}</math>.
:The projected equatorial rotational velocity should be at least , <math>V \sin i<10km s^{-1}</math>. If the velocity in lower, spatial resolution is degraded, but variations in the line profile can still give information of areas with higher velocities. For very high velocities , <math>V \sin i>100km s^{-1}</math>., lines become too shallow for recognizing spots.
*The [[inclination]] angle, ''i'', should preferably be between 20˚-70˚.
:When ''i'' =0˚ the star is seen from the pole and therefore there is no line-of-sight component of the rotational velocity, i.e. no Doppler effect. When seen equator-on, ''i'' =90˚ the Doppler image will get a mirror-image symmetry, since it is impossible to distinguish if a spot is on the northern or southern hemisphere. This problem will always occur when ''i'' ≥70˚; Doppler images are still possible to get but harder to interpret.

==How does it work?==
In the simplest case, dark starspots decrease the amount of light coming from one specific region; this causes a dip or notch in the spectral line. As the star rotates the notch will first appear on the short [[wavelength]] side when it becomes visible towards the observer. Then it will move across the line profile and increase in angular size since the spot is seen more face-on, the maximum is when the spot passes the star’s [[meridian (astronomy)|meridian]]. The opposite happens when the spot moves over to the other side of the star. The spot has its maximum Doppler shift for;

:<math>\Delta \,\lambda\,=v\sin i \cos l \sin L km s^{-1}</math>

Where ''l'' is the latitude and ''L'' is the longitude.
Thus signatures from spots at higher latitudes will be restricted to spectral line centers, which will also occurring when the rotation axis is not perpendicular to the line of sight. If the spot is located at high latitude it is possible that it will always be seen, in which case the distortion in the line profile will move back and forth and only the amount of distortion will change.

Doppler imaging can also be made for changing chemical abundances across the stellar surface; these may not give rise to notches in the line profile since they can be brighter then the rest of the surface, instead producing a dip in the line profile.

==Zeeman-Doppler imaging==
The [[Zeeman-Doppler imaging]] is a variant of the Doppler imaging technique, by using circular and linear polarization information to see the small shifts in wavelength and profile shapes that occur when a magnetic field is present.

==Binary stars==
Another way to determine and see the extent of starspots is to study stars that are [[binary star|binaries]]. Then the problem with ''i'' =90° is reduced and the mapping of the stellar surface can be improved. When one of the stars passes in front of the other there will be an [[eclipse]], and starspots on the eclipsed hemisphere will cause a distortion in the eclipse curve, revealing the location and size of the spots. This technique can be used for finding both dark (cool) and bright (hot) spots.

==See also==
*[[Starspot]]
*[[Zeeman-Doppler imaging]]
*[[Binary star]]

==References==
# Vogt et al. (1987),[http://cdsads.u-strasbg.fr/abs/1987ApJ...321..496V “Doppler images of rotating stars using maximum entropy image reconstruction “], ApJ, 321, 496V

# Vogt, Steven S., & G. Donald Penros, [http://adsabs.harvard.edu/abs/1983PASP...95..565V "Doppler Imaging of spotted stars - Application to the RS Canum Venaticorum star HR 1099"] in Astronomical Society of the Pacific, Symposium on the Renaissance in High-Resolution Spectroscopy - New Techniques, New Frontiers, Kona, HI, June 13-17, 1983 Astronomical Society of the Pacific, Publications (ISSN 0004-6280), vol. 95, Sept. 1983, p. 565-576.
# Strassmeier,( 2002[http://cdsads.u-strasbg.fr/abs/2002AN....323..309S ),”Doppler images of starspots”], AN, 323, 309S
# Korhonen et al. (2001), [http://cdsads.u-strasbg.fr/abs/2001A%26A...379L..30K "The first close-up of the ``flip-flop'' phenomenon in a single star”], A&A, 379L, 30K
# S.V.Berdyugina (2005), [http://cdsads.u-strasbg.fr/abs/2005LRSP....2....8B “Starspots: A Key to the Stellar Dynamo”], Living Reviews in Solar Physics, vol. 2, no. 8
# K.G.Strassmeier (1997), [http://cdsads.u-strasbg.fr/abs/1997akst.book.....S “Aktive sterne. Laboratorien der solaren Astrophysik”], Springer, ISBN # 3-211-83005-7
# Gray, [http://cdsads.u-strasbg.fr/abs/2005oasp.book.....G “The Observation and Analysis of Stellar Photospheres”], 2005, Cambridge University Press, ISBN # 0521851866
# Collier Cameron et al., [http://star-www.st-and.ac.uk/~acc4/coolpages/imaging.html "Mapping starspots and magnetic fields on cool stars" ]

[[Category:Doppler effects]]
[[Category:Stellar astronomy]]

Perfect matrix

2012-04-18T18:09:44Z

129.125.142.238:

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[http://Sss.chaoslab.ru/tracker/mim_plugs/newticket?reporter=anonymous&summary=AttributeError%3A+%27Environment%27+object+has+no+attribute+%27get_db_cnx%27&description=A+assessment+about+Schrade+Knives+S65+two+7%2F8%22+Closed+offers+an+overview+and+customer+opinion+about+the+solution.+Evaluation+for+Schrade+Knives+S65+two+7%2Feight%22+Closed+is+accessible+here+at+the+lowest+value+you+could+discover.+See+the+detail+in+product+description+table.%0D%0A%0D%0A%0D%0A%0D%0AFollowing+the+Schrade+company+closed+its+doors+in+2005%2C+Taylor+Cutlery%2C+popular+for+its+Smith+%26+Wesson+knives%2C+acquired+the+brand+name+and+started+supplying+a+complete+import+line+of+the+%5Bhttp%3A%2F%2Fbrowse.Deviantart.com%2F%3Fq%3DSchrade%2BKnives+Schrade+Knives%5D.+You%27ll+be+impressed+with+the+fit%2C+finish+and+worth+of+the+new+Schrade+item+line.+These+days+Schrade+Knives+are+made+with+the+similar+quality+and+care+that+goes+into+producing+world%27s+finest+pocket+knives%2C+lock+backs%2C+fixed+blades%2C+cutlery+for+the+outside+and+hunting+markets+and+multi-tools.%0D%0A%0D%0AOut+of+the+box+the+knife+gave+a+excellent+impression+of+weight+and+strength+it%27s+basically+an+1%2F8%E2%80%9D+slab+of%C2%A08Cr13MoV+Chinese+steel+%28similar+in+efficiency+to+AUS8%29+held+between+some+seriously+sculpted+G10%C2%A0scales.+It+fits+my+hand+properly%2C+has+a+good+balance%2C+robust+jimping+to+the+thumb+rise+and+a+deep+drop+point%C2%A0blade+%28or+does+that+best+cut+make+it+a+real+clip+point%3F%29.+In+brief%2C+it+is+a+genuine+thug+of+a+knife.+Everyone+thinking+about+a+survival+knife+wants+to+pass+on+any+that+are+not+complete+tang+or+at+least+three+quarters+tang.+The+SCHF10+is+full+tang+with+a+lanyard+hole%2C+which+in+an+emergency+can+be+utilized+as+a+non-lethal+defense+striker+or+glass+breaker+for+building+an+egress%2C+%28entry%2Fexit%29.+Go+to+one+of+the+knife+or+blade+associated+web-sites+and+search+for+%27forced+patina%27%0D%0A%0D%0AConsidering+that+schrade+Knives+Enterprise+changed+their+name+does+not+mean+they+are+neglected+in+the+marketplace.+Even+although+they+are+currently+with+a+partnership+with+Smith+and+Wesson%2C+nevertheless+individuals+feel+that+the+finest+all+about+knives+ever+invented+is+the+schrade+knives+There+is+no+denying+that+their+production+is+slightly+depleting+due+to+lack+of+demand%2C+but+nevertheless+knife+collectors+tend+to+search+this+type+of+knives+in+online+shops+or+bargain+retailers+that+are+supplying+schrade+knives+as+their+antique+souvenirs.%0D%0A%0D%0AApart+from+the+optimal+blade+steel%2C+the+Schrade+Intense+Survival+knife+is+coated+in+a+very+sturdy+powder+coating%2C+which+resists+against+scrapes+and+general+put+on+exceedingly+nicely.+The+coating+is+also+supplies+low+reflection%2C+which+can+be+valuable+when+attempting+to+keep+your+knife+as+non-visable+as+feasible.+However%2C+it+really+is+primary+goal+is+to+retain+the+blade+from+accumulating+tarnish%2C+a+job+it+does+admirably.+The+knife+was+%2426.++In+case+you+cherished+this+informative+article+as+well+as+you+want+to+get+details+regarding+%5Bhttp%3A%2F%2FThebestpocketknifereviews.com%2Fschrade-knives-review%2F+Schrade+Old+Timer+Knives+Review%5D+i+implore+you+to+check+out+our+webpage.+99+prior+to+tax%2C+28.95+after+tax+just+couldn%27t+pass+it+up.+The+steel+they+use+looks+just+fine+to+me%2C+but+then+I+always+treat+my+knives+with+respect.+I+carried+a+lot+of+Old+Timers+back+in+my+younger+years.+I+got+a+lot+of+them+as+presents+considering+the+fact+that+they+have+been+deemed+a+decient+knife+at+a+affordable+cost.%0D%0A%0D%0AIn+1917%2C+Schrade+licensed+a+flylock+switchblade+style+to+the+Challenge+Cutlery+Firm%2C+which+he+then+joined+and+continued+to+pursue+his+knife+making+interests+at+each+Challenge+and+at+Schrade+exactly+where+his+brother+George+now+managed+one+particular+of+the+company%27s+factories.+In+the+1920s%2C+Schrade+purchased+the+defunct+Walden+Cutlery+Corporation+in+order+to+obtain+their+stocks+of+handle+material+for+his+knives.+This+Schrade+Extreme+Survival+fixed+blade+knife+options+a+thick+six.four%22+1095+higher+carbon+steel+complete-tang+blade+with+easy-to-grip+Kraton+handles.+The+Nylon+sheath+is+lined+with+Kydex+and+has+a+tiny+pocket+for+storing+tiny+items.+Exceptionally+heavy-duty%2C+nicely-made+knife+at+a+good+price%21+Here+we+see+two+Schrade+knives+resting+on+a+log+in+the+late+afternoon.+Sheath%0D%0A%0D%0AI+bought+this+knife+for+everyday+carry+as+an+alternative+to+the+Gerber+Basic+that+is+EDC+now.+My+correct+intent+was+to+carry+this+one+particular+horizontally+on+my+belt+underneath+a+cell-phone+pouch+so+I+actually+wasn%27t+concerned+about+how+well+it+carried+around+my+neck.+My+favourite+element+of+this+knife+is+basically+a+single+of+the+most+discreet+parts%E2%80%94the+push+button+insert.+It+really+is+produced+of+abalone%2C+which+is+a+type+of+sea+shell.+A+lot+of+recognize+it+from+its+rainbow-like+color.+As+with+most+other+multi-tools+the+Crunch+attributes+a+built-in+knife+blade.+Its+other+tools+and+functions+include+things+like+small%2C+medium%2C+and+massive+screwdrivers+a+wood%2Fmetal+file%2C+8%E2%80%B3+ruler%2C+Phillips+screwdriver%2C+and+1%2F4%E2%80%B3+hex+bit+driver.%0D%0A%0D%0AThe+most+exciting+point+about+the+Schrade+SCHF9+Extreme+Survival+Knife+is+the+steel+that+was+made+use+of+to+generate+the+blade.+A+quarter-inch+thick+chunk+of+1095+steel+is+a+steal+for+the+low+price+tag+that+this+knife+is+sold+for.+I+do+not+know+how+they+are+capable+to+present+such+high-high+quality+steel+for+such+a+reasonable+cost%2C+but+I+created+positive+to+load+up+on+a+number+of+of+these+knives.+It+is+not+normally+you+can+come+across+such+fantastic+steel+in+a+workhorse+of+a+blade+like+this+one.+A+Knife+for+Daily&create=Create 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