5

# Let Mm and N" be oriented manifolds. Endow M x N with the product orientation, that is, if TM MxN _ M and TN M xN 7 are the canonical projections on the elemen...

## Question

###### Let Mm and N" be oriented manifolds. Endow M x N with the product orientation, that is, if TM MxN _ M and TN M xN 7 are the canonical projections on the elements of the product, adl and n respectively define orientations OH M and N_ then the orientation OH M x N is defined to be the orientation defined by TMW TNI: If a â‚¬ 0"(M) and 8 â‚¬ n"(N) have compact support, show thata x 8 := (Tira) ^ (TN8)has compact support and is a (m +n)-form o M x N. Then; prove Fubini $theorem: a X Let Mm and N" be oriented manifolds. Endow M x N with the product orientation, that is, if TM MxN _ M and TN M xN 7 are the canonical projections on the elements of the product, adl and n respectively define orientations OH M and N_ then the orientation OH M x N is defined to be the orientation defined by TMW TNI: If a â‚¬ 0"(M) and 8 â‚¬ n"(N) have compact support, show that a x 8 := (Tira) ^ (TN8) has compact support and is a (m +n)-form o M x N. Then; prove Fubini$ theorem: a X 8 = (J2) Ive)  #### Similar Solved Questions

##### Alirt brluy anehtncss oreI InE TtmbaleLeet Nud thetbulbe ne all mqulvalcra. trurh! Uelut hnrhi Lnn IcnatcaJt UFTEMLAOOConsider thc circuits Lrotd Jbuvc AEETTA (equivalent the voltage surce [s 1.60 V both circuits) and that the resistance of & light bulb (as5ume all arc cquvalent) Loun Detcnninc thc cunent flowing through cach of the bulbs Show your work heteL =Jb =k=le=
Alirt brluy anehtncss oreI InE Ttmbale Leet Nud thetbulbe ne all mqulvalcra. trurh! Uelut hnrhi Lnn IcnatcaJt UFTEMLA OO Consider thc circuits Lrotd Jbuvc AEETTA (equivalent the voltage surce [s 1.60 V both circuits) and that the resistance of & light bulb (as5ume all arc cquvalent) Loun Detcnni...
##### Let X = (XiXzXs)T be a random vector with p 4 E(X] given byp = (5,_5,6)"and covatianlce given byK =254Calculate the mean and variance ofY = ATx+ Bwhere A (2. -1,2T and B = 5
Let X = (XiXzXs)T be a random vector with p 4 E(X] given by p = (5,_5,6)" and covatianlce given by K = 2 5 4 Calculate the mean and variance of Y = ATx+ B where A (2. -1,2T and B = 5...
##### 12. Consider the following set of simultaneous equations that demonstrate simultane causality bias: Y = Bo + B1X + u X =Yo + YiY + vAssume that the two error terms u and v are independent of one another: Solve cov(X,u) in terms of cov(Y , u).Answer:Y1cov(Y , u)
12. Consider the following set of simultaneous equations that demonstrate simultane causality bias: Y = Bo + B1X + u X =Yo + YiY + v Assume that the two error terms u and v are independent of one another: Solve cov(X,u) in terms of cov(Y , u). Answer: Y1cov(Y , u)...
##### Whai is the general colution of the following homogeneous second-order differential equation? +8d 16.y = =5.2+17 d2Y=e#* (Ax + B) - 0.31*+0.91Oy=e 4* (Ax + B) - 0.31*-0.91Oy-o 4* (Ax + B) + 0.31 0.910ym+* (Ax+ B)+ 0.31.*+ 0.91
Whai is the general colution of the following homogeneous second-order differential equation? +8d 16.y = =5.2+17 d2 Y=e#* (Ax + B) - 0.31*+0.91 Oy=e 4* (Ax + B) - 0.31*-0.91 Oy-o 4* (Ax + B) + 0.31 0.91 0ym+* (Ax+ B)+ 0.31.*+ 0.91...
##### (CHshc-0K (CHyhC-OH,Br2. KMnOa > HzSO41. HzSO4, HzO SOBrz00CHa CHs 1. Na OCHZCHs CHGCHOH, (c) CH;-CH-C-Br CHzCH; 03 ' CHzCiz . -78 %C 3 . Zn, CHGCoOH1. HBr2. CHsCOOHOHOCHs 1, 8O3, conc HzSOaCOC HNOz, conc FzSOa 3 . NaOH(fused) ,
(CHshc-0K (CHyhC-OH, Br 2. KMnOa > HzSO4 1. HzSO4, HzO SOBrz 00 CHa CHs 1. Na OCHZCHs CHGCHOH, (c) CH;-CH-C-Br CHzCH; 03 ' CHzCiz . -78 %C 3 . Zn, CHGCoOH 1. HBr 2. CHsCOOH OH OCHs 1, 8O3, conc HzSOa COC HNOz, conc FzSOa 3 . NaOH(fused) ,...
##### Sign ' of Leading CoefficientGraph of FunctionEven or Odd Degree?Domain and RangeSymmetry End Behaviourcsl Scanled With Cambcanne
Sign ' of Leading Coefficient Graph of Function Even or Odd Degree? Domain and Range Symmetry End Behaviour csl Scanled With Cambcanne...
##### 41) What is the correct IUPAC name for the following structure?A) 1-cyclopentyl-3,6-dimethylhept-3-en-l-yne B) 1-cyclopentyl-3,6-dimethylhept-l-yn-3-ene 2) 1-cyclopentyl-4,7-dimethylhept-4-en-2-yne D) (E) 1-cyclopentyl-3,6-dimethylhept-3-en-l-yne42) Which of the following alkynes has the lowest boiling point? A) 3,3-dimethyl-l-butyne B) 1-hexyne C) 2-heptyne D) 3-hexyne1-decyne43) Provide the structure of the major organic product(s) in the reaction sequence below.1.NaNH2 CH3CH2C-CH 2.PhCH2BrAns
41) What is the correct IUPAC name for the following structure? A) 1-cyclopentyl-3,6-dimethylhept-3-en-l-yne B) 1-cyclopentyl-3,6-dimethylhept-l-yn-3-ene 2) 1-cyclopentyl-4,7-dimethylhept-4-en-2-yne D) (E) 1-cyclopentyl-3,6-dimethylhept-3-en-l-yne 42) Which of the following alkynes has the lowest bo...
##### MDMAU BINOMIAL AND HYPERGEOMETRIC ASSIGNMENTNAMES22A 1KSITUATION Out of any car accidents , authorities are analysing the likelihood that different accidents were caused by texting and driving_ study suggests that in 5 accidents are caused by texting and driving_Create binomial distribution spreadsheet for this " situation columns for x, p(x) and xp(x)) and I6KACalculate the following using your spreadsheet The probability that BB or more of the accidents are caused by texting and driving /
MDMAU BINOMIAL AND HYPERGEOMETRIC ASSIGNMENT NAMES 22A 1K SITUATION Out of any car accidents , authorities are analysing the likelihood that different accidents were caused by texting and driving_ study suggests that in 5 accidents are caused by texting and driving_ Create binomial distribution spre...
##### There are four common oxoanions of iodine and two COmmon oxoaniOrs of nitrogen: Match the name of each ion t0 its formula_10, 105 I0z I0-Answer Banknitride ionperiodate ionnitrite inilrate ionIadide ioniodale ionhpoiadite ionlodile ionNO; NOz
There are four common oxoanions of iodine and two COmmon oxoaniOrs of nitrogen: Match the name of each ion t0 its formula_ 10, 105 I0z I0- Answer Bank nitride ion periodate ion nitrite i nilrate ion Iadide ion iodale ion hpoiadite ion lodile ion NO; NOz...
##### Question Completion Status:A mobile is constructed of Iighi rods Iight strings and beach souvenirs as shown in figure below If m4 9 g and M1 6.75g then the value of m2 equals:4ci L CMWlcn achi
Question Completion Status: A mobile is constructed of Iighi rods Iight strings and beach souvenirs as shown in figure below If m4 9 g and M1 6.75g then the value of m2 equals: 4ci L CM Wlcn achi...
##### Water flows into a cubical tank at a rate of $15 \mathrm{~L} / \mathrm{s}$. If the top surface of the water in the tank is rising by $1.5 \mathrm{~cm}$ every second, what is the length of each side of the tank?
Water flows into a cubical tank at a rate of $15 \mathrm{~L} / \mathrm{s}$. If the top surface of the water in the tank is rising by $1.5 \mathrm{~cm}$ every second, what is the length of each side of the tank?...
##### Find the area of a sector of a circle having radius $r$ and central angle $\theta .$ Express answers to the nearest tenth. $r=90.0 \mathrm{yd}, \theta=\frac{5 \pi}{6}$ radians
Find the area of a sector of a circle having radius $r$ and central angle $\theta .$ Express answers to the nearest tenth. $r=90.0 \mathrm{yd}, \theta=\frac{5 \pi}{6}$ radians...
##### Consider a particle of mass $m$ subject to a one-dimensional potential of the following form: $V=\left\{\begin{array}{ll} \frac{1}{2} k x^{2} & \text { for } x>0 \\ \infty & \text { for } x<0 \end{array}\right.$ (a) What is the ground-state energy? (b) What is the expectation value $\left\langle x^{2}\right\rangle$ for the ground state?
Consider a particle of mass $m$ subject to a one-dimensional potential of the following form: $V=\left\{\begin{array}{ll} \frac{1}{2} k x^{2} & \text { for } x>0 \\ \infty & \text { for } x<0 \end{array}\right.$ (a) What is the ground-state energy? (b) What is the expectation value...
##### Consider the following dataX Y 61 8 1 2 2What is the sample correlation between â‚¬ and y?Report your answer to 2 decimal places.
Consider the following data X Y 61 8 1 2 2 What is the sample correlation between â‚¬ and y? Report your answer to 2 decimal places....
##### Find the exact value of sec^-1 âˆš2/3 .
Find the exact value of sec^-1 âˆš2/3 ....
##### Seaeol Antlbody bindinj" dolinen iedbaled slructure on Nacrotlountec 0 allaen presenled {0 3;Vuctlnt bindinanactada AnraenTLorlizeEenaa KaltaBeleel Oalt FalzeakatoltTLA uoulepeptidooOte AncienGeleceecaFalereuereccurd dbhnn trantcnplicnranuling tquenc0rnulmae Uni 0rteltselactone panatic ribtation ha? pecurrad and #IlI Eitaredtprelain aailo nrnduced Aeux cortec Hhe tauultno MakaenIi bo dopradodpattud AlortOlenuMneaUntolonumminedeturna anlbmicrolaal dpnloleageni FALSLIAaale Etnan neal cainir-
Seaeol Antlbody bindinj" dolinen iedbaled slructure on Nacrotlountec 0 allaen presenled {0 3 ;Vuctlnt bindina nactada Anraen TLorlize Eenaa Kalta Beleel Oalt Falze akatolt TLA uoule peptidoo Ote Ancien Geleceeca Faler euereccurd dbhnn trantcnplicn ranuling tquenc0 rnulmae Uni 0rtelt selactone ...