SISTEM PENGUKURAN DETAK JANTUNG MANUSIA MENGGUNAKAN
MEDIA ONLINE DENGAN JARINGAN WI-FI BERBASIS PC
Ahmad Nawawi Harahap1, Dr. Bisman Perangin-angin, M.Eng. Sc2
1
Mahasiswa Ekstensi Fisika Intrumentasi FMIPA USU
Email : [email protected]
2
Dosen Fisika
Cervus 3.0.7 - (c) Copyright Tristan Marshall 1998-2014
Distributed by Field Genetics Ltd - www.fieldgenetics.com
Licensed for non-commercial use only
Allele frequency analysis completed 13/02/2017 2:18:02 AM
* Summary statistics *
Locus k N HObs HExp PIC
Cervus 3.0.7 - (c) Copyright Tristan Marshall 1998-2014
Distributed by Field Genetics Ltd - www.fieldgenetics.com
Licensed for non-commercial use only
Simulation of parentage analysis completed 13/02/2017 2:23:41 AM
* Summary statistics *
Mother alone:
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Barrons SAT I Basic Word List
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HOW TO PREPARE FOR THE
SAT I
3,500 Basic Word List
Word List 1
abase
V.
abase-adroit
/lower; humiliate. Defeated, Queen Zenobia was forced to abase herself before
the conquering Romans, who made her march in chains
for97020_ch02.fm Page 31 Wednesday, July 10, 2002 11:45 AM
CHAPTER 2
Application Layer
This chapter explores the different application programs, or services, available at the
topmost layer, layer five, of the Internet model.
The application layer allows p
Calculus Derivative Definition Notes
The derivative is the function for which at x = k, the parent functions slope at x = k can
be determined.
It finds the slope of the tangent line at x = k. For example, the derivative of the function,
F(x) = x2, is re
Math 215 HW #11 Solutions
1. Problem 5.5.6. Find the lengths and the inner product of
x=
2 4i
4i
and y
2 + 4i
.
4i
Answer: First,
x
2
= xH x = [2 + 4i 4i]
2 4i
= (4 + 16) + 16 = 36,
4i
so x = 6. Likewise,
y
2
2 + 4i
= (4 + 16) + 16,
4i
= y H y = [2 4i 4i]
Math 215 HW #11
Due 5:00 PM Thursday, April 29
Reading: Sections 5.55.6 from Strangs Linear Algebra and its Applications, 4th edition.
Problems: Please follow the guidelines for collaboration detailed in the course syllabus.
1. Problem 5.5.6.
2. Problem 5
Math 215 HW #10 Solutions
1. Problem 5.2.14. Suppose the eigenvector matrix S has S T = S 1 . Show that A = S S 1 is
symmetric and has orthogonal eigenvectors.
the eigenvectors of A. Then, since S T = S 1 ,
Proof. Suppose S = [v1 . . . vn ], where vi are
Math 215 HW #10
Due 5:00 PM Thursday, April 15
Reading: Sections 5.25.4 from Strangs Linear Algebra and its Applications, 4th edition.
Problems: Please follow the guidelines for collaboration detailed in the course syllabus.
1. Problem 5.2.14.
2. Problem
Math 215 HW #9 Solutions
1. Problem 4.4.12. If A is a 5 by 5 matrix with all |aij | 1, then det A
big formula or pivots should give some upper bound on the determinant.
. Volumes or the
Answer: Let vi be the ith column of A. Then
|vi | =
a2i + a2i + a2i
Math 215 HW #9
Due 5:00 PM Thursday, April 8
Reading: Sections 4.4, 5.15.2 from Strangs Linear Algebra and its Applications, 4th edition.
Problems: Please follow the guidelines for collaboration detailed in the course syllabus.
1. Problem 4.4.12.
2. Probl
Math 215 HW #8 Solutions
1. Problem 4.2.4. By applying row operations to produce an upper triangular U , compute
2 1 0
0
1
2 2 0
1 2 1 0
2
3 4 1
and
det
det
0 1 2 1 .
1 2 0 2
0
0 1 2
0
2
53
Answer: Focusing on the rst matrix, we can subtract twice
Math 215 HW #8
Due 5:00 PM Thursday, April 1
Reading: Sections 4.14.3 from Strangs Linear Algebra and its Applications, 4th edition.
Problems: Please follow the guidelines for collaboration detailed in the course syllabus.
1. Problem 4.2.4.
2. Problem 4.2
Math 215 HW #7 Solutions
1. Problem 3.3.8. If P is the projection matrix onto a k -dimensional subspace S of the whole
space Rn , what is the column space of P and what is its rank?
Answer: The column space of P is S. To see this, notice that, if x Rn , t
Math 215 HW #7
Due 5:00 PM Thursday, March 25
Reading: Sections 3.33.4 from Strangs Linear Algebra and its Applications, 4th edition.
Problems: Please follow the guidelines for collaboration detailed in the course syllabus.
1. Problem 3.3.8.
2. Problem 3.
Math 215 HW #6 Solutions
1. Problem 3.1.14. Show that x y is orthogonal to x + y if and only if x = y .
Proof. First, suppose x y is orthogonal to x + y. Then
0 = x y, x + y
= (x y)T (x + y)
= xT x + xT y yT x yT x
= x, x + x, y y, x y, y
= x, x y, y
sinc
Math 215 HW #6
Due 5:00 PM Thursday, March 18
Reading: Sections 3.13.2 from Strangs Linear Algebra and its Applications, 4th edition.
Problems: Please follow the guidelines for collaboration detailed in the course syllabus.
1. Problem 3.1.14.
2. Problem 3
Math 215 HW #4 Solutions
1. Problem 2.3.6. Choose three independent columns of U . Then make two other choice. Do the same for A. You have found bases for which spaces? 2341 2341 0 6 7 0 0 6 7 0 U = 0 0 0 9 and A = 0 0 0 9 . 4682 0000 Solution: The most o
Math 215 HW #5
Due 5:00 PM Thursday, February 25
Reading: Sections 2.32.4, 2.6 from Strangs Linear Algebra and its Applications, 4th edition.
Problems: Please follow the guidelines for collaboration detailed in the course syllabus.
1. Problem 2.3.6.
2. Pr
Math 215 HW #4 Solutions
1. Problem 2.1.6. Let P be the plane in 3-space with equation x + 2y + z = 6. What is the
equation of the plane P0 through the origin parallel to P? Are P and P0 subspaces of R3 ?
Answer: For any real number r, the plane x + y + =
Math 215 HW #4
Due 5:00 PM Thursday, February 18
Reading: Sections 2.12.2 from Strangs Linear Algebra and its Applications, 4th edition.
Problems: Please follow the guidelines for collaboration detailed in the course syllabus.
1. Problem 2.1.6.
2. Problem
Math 215 HW #3
Due 5:00 PM Thursday, February 11
Reading: Sections 1.61.7 from Strangs Linear Algebra and its Applications, 4th edition.
Problems: Please follow the guidelines for collaboration detailed in the course syllabus.
1. Problem 1.6.6.
2. Problem
Math 215 HW #2 Solutions
1. Problem 1.4.6. Write down the 2 by 2 matrices A and B that have entries aij = i + j and
bij = (1)i+j . Multiply them to nd AB and BA.
Solution: Since aij indicates the entry in A which is in the ith row and in the j th column,
Math 215 HW #2
Due 5:00 PM Thursday, February 4
Reading: Sections 1.41.5 from Strangs Linear Algebra and its Applications, 4th edition.
Problems: Please follow the guidelines for collaboration detailed in the course syllabus.
1. Problem 1.4.6
2. Problem 1