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g
acceleration of gravity
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1. divided by
g
of r squared.
2. A function
g
of x is tilde, a function h of x
3. f sub x equals lambda
g
sub x, f sub y equals lambda
g
sub y,
4. So this is the minimum spanning tree for the graph
G
5. I..."That's a funny one, isn't it? "o-u-
g
-h-t"
6. That tells you
g
prime is 3y squared.
7. So you start with a guess,
g
.
8. Yes, see you
G
!
9. The derivative with respect to r of the logarithm of
g
of r
10. It's defined as the spanning tree of
G
such
11. And, when we plug in the formulas for f and
g
,
12. spoken as y in Dutch. So it's y and
g
kha kha. I'm fine. Het gaat prima met mij.
13. Well, the chain rule tells us
g
changes because x,
14.
g
is a function of y only. If you get an x here,
15. Tell him this remember a while ago when we had our deal he had a similar deal with Op TV. The moni
G
brothers
16. the ODE. And, y1 of x, notice I don't use a separate letter. I don't use
g
or h or something
17. If we compare the two things there, we get 4x squared plus
g
18. So we know a subgraph of
G
that touches all the different edges
19.
G
-alright, okay, I'm, I'm boned.
20. Yeah, check this out guys oh my
g
ah
21. let T be a connected subgraph of
G
, but with a property
22. plus -- Well, next we need to have partial
g
23. we just have
g
prime of r squared
24. hands on advanced CRISPR Cas9
G
knockout kit, you better believe
25. Visualize the logarithm of
g
to the X, then you get this
26. What
G
?
27. It's defined as the spanning tree of
G
such
28. And we assume that it has the same vertices of
G
of course.
29. Good day. Goedendag! Here n is silent and
G
is pronounced as Kha so it's Goedendag!
30. with the same vertices of
G
. So the only difference
31. z over
g
sub x. Now we plug that into that and
32. So for example, say
g
of n is n squared minus 1.
33. z over
g
sub x plus f sub z times dz.
34. minus
g
sub z dz divided by
g
sub x.
35. Then in step 2, we put back in
g
of n,
36. to be partial
g
, partial u.
37. Again, saying that
g
cannot change and keeping y constant
38. How can I do that? Well, I can just look at how
g
39. and f sub z equals lambda
g
sub z.
40. We look at the differential
g
. So dg is
g
sub x dx plus
g
sub
41. means that the limit as x goes to infinity of
g
over h is 1.
42. minus
g
sub z over
g
sub x, plus partial f over partial z.
43. is this equal to. Well, if
g
is held constant
44. So for example, say that
g
is 2 to the n plus 3 to the n.
45. Hoe gaat.
g
is pronounced as kha in Dutch.
46. So I'm going to write them as goodness of fit,
G
-O-F here.
47. Suppose you have an example where
g
of n
48.
g
then f. It works the same way as that.
49. Well, of course it cover all the vertices of
G
50. For all
G
, I still need to prove there
51. partial x over partial z y constant plus
g
sub z.
52. Do we still have a connected subgraph of
G
53. So if
g
-- that's saying the non-homogeneous part--
54. A function
g
of x is tilde, a function h of x
55. So if
g
-- that's saying the non-homogeneous part--
56. So what I need to proof is that for all
G
,
57. f and
g
, and you write f(
g
(x)), it really means you apply first
58. plus
g
of n, like n cubed.
59. by
g
old, over 2.
60. So for example, say that
g
is 2 to the n plus 3 to the n.
61. Again, saying that
g
cannot change and keeping y constant
62. So for example, say
g
of n is n squared minus 1.
63. She's really walking in S&
G
64. there exists a minimum spanning tree of
G
such
65. Well, what is dx? dx is now minus
g
sub z over
g
66. So this is the minimum spanning tree for the graph
G
67. is that for any connected weighted graph
G
,
68. And we'll set
g
equal to--
69. r over
g
of r squared.
70.
g
. I would like to match this with
71. So all vertices in
G
are still connected
72. gradient of
g
. There is a new variable here,
73. If we compare the two things there, we get 4x squared plus
g
74. het met u? Remember
g
is pronounced as kha in Dutch therefore this is khaat. Hoe gaat
75. So
g
new is going to be
g
old plus x divided
76. If you take that product of terms
g
to the r to the n-th
77. How much is that? How much is partial
g
,
78.
g
sub Z of r is the expected value of e to the rZ.
79. well,
g
still doesn't change. It is held constant.
80. minus d equals
g
of n, where that's some fixed function
81. The derivative with respect to r of the logarithm of
g
of r
82. is first derivative of r divided by
g
of r.
83. There does not exist a connected graph
G
that has no ST.
84. If
g
is polynomial, you should guess a polynomial
85. there exists a minimum spanning tree of
G
.
86. Now, this time the constant is a true constant because
g
did
87. y dy plus
g
sub z dz. And that is zero because we are
88. two then that will tell me what the derivative of
g
should be.
89. divided by
g
.
90. Minus
g
of r and
g
prime of r.
91. So we'll reset
g
, and we'll set
g
to 3 plus 25 over 3.
92. maybe n squared, or some general function
g
of n.
93. partial
g
over partial x. We can just write
g
sub x times
94. are stressed, so the stress pattern is DA-DA. Go ape. We have the
G
consonant sound and
95. Jade and Althea kissing on a tree. K-I-S-S-I-N-
G
!
96. Then you say, is
g
times
g
close enough to x?
97. So we say for all
G
and for all sets
98. Let's say
g
equals 3.
99. And in particular, if this
g
term is 3 to the n,
100. We said that a connected graph,
G
-- that's
101. So what I need to proof is that for all
G
,
102. for
g
, which is the same thing, just divided by dz with y held
103. In step 1, we replace
g
of n by 0,
104. tells us
g
sub x dx plus
g
sub z dz is zero and we would like to
105. What is
G
?
106. And you've always really wanted to play pub
g
or you've been hearing about it
107. How can I do that? Well, I can just look at how
g
108. to look at the constraint
g
. Well, how do we do that?
109. What is
G
?
110. because we showed that for all graphs
G
,
111. power and you visualize the logarithm of
g
to the X.
112. f, subject to the constraint
g
113. In step 1, we replace
g
of n by 0,
114. Taking the derivative of that is equal to
g
double prime of
115. a connected graph
G
.
116. So,
g
doesn't change. If
g
doesn't change then we
117. I was even having thoughts in my head of just like you know what why doesn't anyone just remade pub
G
and Roblox?
118. So let this be a connected subgraph of
G
.
119. How does it change because of y? Well, partial
g
over partial y
120. I just do the same calculation with
g
instead of f.
121. natural log of
g
of r.
122. connected, and with the same vertices as
G
.
123. So I'm going to write them as goodness of fit,
G
-O-F here.
124. If I give you the function
g
equals u of v.
125. So we already know that T is a connected subgraph of
G
126. Well, partial
g
over partial x times the rate of change of x.
127. setting
g
to always stay constant.
128. that looks a whole lot like this
g
term out here.
129. Do we still have a connected subgraph of
G
130. sub x dz plus f sub z dz. So that will be minus fx
g
sub
131. So I have to prove that for all
G
,
132. Partial x over partial z with y held constant is negative
g
sub
133. If it's not, you create a new guess by averaging
g
and x
134. that covers all the vertices of
G
?
135. we just have
g
prime of r squared
136. I feel that booty, but man, what a [
g
]
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