1

# Let $\sigma, \tau \in S_{n} .$ Show that $\operatorname{sgn}(\tau \circ \sigma)=(\operatorname{sgn} \tau)(\operatorname{sgn} \sigma) .$ Thus, the product of two eve...

## Question

###### Let $\sigma, \tau \in S_{n} .$ Show that $\operatorname{sgn}(\tau \circ \sigma)=(\operatorname{sgn} \tau)(\operatorname{sgn} \sigma) .$ Thus, the product of two even or two odd permutations is even, and the product of an odd and an even permutation is odd.

Let $\sigma, \tau \in S_{n} .$ Show that $\operatorname{sgn}(\tau \circ \sigma)=(\operatorname{sgn} \tau)(\operatorname{sgn} \sigma) .$ Thus, the product of two even or two odd permutations is even, and the product of an odd and an even permutation is odd. #### Similar Solved Questions

##### Find a vector function # (t) that parameterizes the curve 0f intersection ofthe cylinder x?and the plane 2x +7() = (cos(t} sinlt), [ = Zcos(t) - sintt) ># (t) = (cos(t). 3sinlt) 1 - 2cos(t) - 3sinit) >F(c) = (cos(t), 1 2costt) ~ 3sinlt}. 3sinit)>R(C) = (cos(t) 1 ~ 2cos(t) ~ sinft) sinlt) >
Find a vector function # (t) that parameterizes the curve 0f intersection ofthe cylinder x? and the plane 2x + 7() = (cos(t} sinlt), [ = Zcos(t) - sintt) > # (t) = (cos(t). 3sinlt) 1 - 2cos(t) - 3sinit) > F(c) = (cos(t), 1 2costt) ~ 3sinlt}. 3sinit)> R(C) = (cos(t) 1 ~ 2cos(t) ~ sinft) sin...
##### Yos 30 in no particular order) Question sec. Experiment N followed the 2 The may concentrations change U [v] 1/ HA] apply are Hk Study Question 4: moVL with and with time { time Bleaching In2 waS a spectrophotometer hiAOr a sec. The shown h t1n and following the [AJo / 2k { punoj following equations For a given reaction, { graph: that the half-life (given here ne(e) 1.7 (d) 3.3 010*0 () (6) 3.3 x 0 10-4 10-4 0.010 M; then the numerical value of the time rate constant
yos 30 in no particular order) Question sec. Experiment N followed the 2 The may concentrations change U [v] 1/ HA] apply are Hk Study Question 4: moVL with and with time { time Bleaching In2 waS a spectrophotometer hiAOr a sec. The shown h t1n and following the [AJo / 2k { punoj following equations...
##### WJF60ku| FX 8" . 0t f ' C(6 'vw . .. ' Cou;' {JJmSUQ Jok 52a4) 0+ JJCS 28 2 JO; u0i #Uo} 1*iau? +00 +vnjcuo) S! ex- 01+ 2a4 2621 '2x '('G'x) Quiy 0S HI 4QU JO Jjy+a1 Juiwj2+20 29+ Gxh'2k-16) (''x) 4 pijix 347
WJF60ku| FX 8" . 0t f ' C(6 'vw . .. ' Cou;' {JJmSUQ Jok 52a4) 0+ JJCS 28 2 JO; u0i #Uo} 1*iau? +00 +vnjcuo) S! ex- 01+ 2a4 2621 '2x '('G'x) Quiy 0S HI 4QU JO Jjy+a1 Juiwj2+20 29+ Gxh'2k-16) (''x) 4 pijix 347...
##### Question 11Find the volume of the solid bounded above by the cone 2 =x? +y_ below by the xy-plane, and on the sides by the cylinder x? +y = 6x_9)48b) 0192966432None of these_Review Later
Question 11 Find the volume of the solid bounded above by the cone 2 =x? +y_ below by the xy-plane, and on the sides by the cylinder x? +y = 6x_ 9) 48 b) 0192 96 64 32 None of these_ Review Later...
##### [-12 Points]DETAILSSerc10 22.P.004.Calculate the wavelength of light in vacuum that has frequency 0f 5.03 1015 Hz, nmWhat its wavelength echyl ;alcctol?Calculate_the energy of one photon of such light in vacuum Express the answer electron volts.(d) Does the energy ofthe photon change when enters the â‚¬ fhvl #lcnhol? The energy of the photon does not change The energy of the photon changes:ExplainThis answer has nol been graded yei[-2 Points]DETAILSSERCP1T 22.3.P.008.The two mirrors the figure b
[-12 Points] DETAILS Serc10 22.P.004. Calculate the wavelength of light in vacuum that has frequency 0f 5.03 1015 Hz, nm What its wavelength echyl ;alcctol? Calculate_the energy of one photon of such light in vacuum Express the answer electron volts. (d) Does the energy ofthe photon change when ente...
##### And the angle between v and w is } find Ilv 2wll: (Bpts) If Ilvll = 2 and Ilwll =3 w = (W1.Wz.W3} and use dot product properties) (hint: Define v = ("1."2.U3) will the vectors 2i + "j Sk and (Apts) For what value O1 values of 8j + ak parallel:
and the angle between v and w is } find Ilv 2wll: (Bpts) If Ilvll = 2 and Ilwll =3 w = (W1.Wz.W3} and use dot product properties) (hint: Define v = ("1."2.U3) will the vectors 2i + "j Sk and (Apts) For what value O1 values of 8j + ak parallel:...
##### A first order linear equation in the form y' + p(x)y f(z) can be solved by finding an integrating factor p(x) exp p(z) dxGiven the equation y'y = 8x4 find p(z)(2) Then find an explicit general solution with arbitrary constant C .Then solve the initial value problem with y(1) = 1
A first order linear equation in the form y' + p(x)y f(z) can be solved by finding an integrating factor p(x) exp p(z) dx Given the equation y' y = 8x4 find p(z) (2) Then find an explicit general solution with arbitrary constant C . Then solve the initial value problem with y(1) = 1...
##### Fill in each blank with the correct response.The equation $y=4$ has a __________ line as its graph, and $x=4$ has a __________ line as its graph.
Fill in each blank with the correct response. The equation $y=4$ has a __________ line as its graph, and $x=4$ has a __________ line as its graph....
##### Q4) Evaluate the improper integralsdx(1+x2) tan-1x
Q4) Evaluate the improper integrals dx (1+x2) tan-1x...
##### Evaluate the following integrals. $$\int \tan ^{5} \theta \sec ^{4} \theta d \theta$$
Evaluate the following integrals. $$\int \tan ^{5} \theta \sec ^{4} \theta d \theta$$...
3 X 8 8 2 D...
##### Specto 86 Molccular Ian = IsuaMOh Ica( bort OCioMohie
Specto 86 Molccular Ian = IsuaM Oh Ica( bort OCio Mohie...
##### P3St# For the following differential equation, deterine its Laplace transform and indicate Ihe character of the time-domain response without solving for Jt)61 Zsin 2
P3St# For the following differential equation, deterine its Laplace transform and indicate Ihe character of the time-domain response without solving for Jt) 61 Zsin 2...
##### QUESTION 31Haw maw moucules CO 2 afe contalried9.3*10-15 tnk 0L757
QUESTION 31 Haw maw moucules CO 2 afe contalried 9.3*10-15 tnk 0L757...
##### Dezenmine tnetoo: off(x) = 9 e X sin (x) - 0.8Uzngtne Newton-Raphson method Tarire Doin-Petformjus::4o irerations
Dezenmine tnetoo: off(x) = 9 e X sin (x) - 0.8 Uzngtne Newton-Raphson method Tarire Doin- Petformjus::4o irerations...