earth element wind has dissolved and the
mirage-like appearance has been perceived, the
next wind will dissolve and a different
appearance will manifest. The more completely
the first wind dissolves, the more vivid will be
our perception of this next appe
appearance this door is closed. MODERN
BUDDHISM 288 Dedication Thus, through my
virtues from correctly performing the offerings,
praises, recitations and meditations Of the
generation stage of Glorious Heruka, May I
complete all the stages Of the common a
evermore. MODERN BUDDHISM 290 The nineline Migtsema prayer Tsongkhapa, crown
ornament of the scholars of the Land of the
Snows, You are Buddha Shakyamuni and
Vajradhara, the source of all attainments,
Avalokiteshvara, the treasury of unobservable
compassi
OM and so forth, standing in a circle counterclockwise from the east. These transform into
the eight Heroines of the heart family:
Partzandi, Tzndriakiya, Parbhawatiya,
Mahanasa, Biramatiya, Karwariya,
Lamkeshriya and Drumatzaya; the eight
Heroines of the
each one from the depths of my heart. THE
YOGA OF BUDDHA HERUKA 283 In this
degenerate age you strove for much learning
and accomplishment. Abandoning the eight
worldly concerns, you made your freedom and
endowment meaningful. O Protector, from the
very d
prostrate. I request all of you together with
your consorts, children and servants BLISSFUL
JOURNEY 307 To grant me the fortune of all the
attainments. May I and other practitioners Have
good health, long life, power, Glory, fame,
fortune, And extensive e
is flowing strongly, the other winds (except the
pervading wind) are flowing gently. Unless we
observe our breath very carefully, it is difficult
to notice the different movements of the four
winds, but they definitely flow through our
nostrils whenever w
see all things that exist throughout space; O
Protector endowed with strong compassion,
may I be blessed by the waters of your
compassion, And may the Dakinis take me into
their loving care. Offering the torma to the
mundane Deities The directional guardi
light and, entering through the crown of my
head, mixes inseparably with my mind in the
aspect of a red letter BAM at my heart. THE
YOGA OF SELF-GENERATION Bringing death into
the path of the Truth Body This very letter BAM
expands and spreads to the ends
2010 299 Blissful Journey TORMA OFFERING
Having engaged in the practice of The Yoga of
Buddha Heruka from Going for refuge up to and
including Reciting the mantras, now perform
the torma offering. Blessing the inner offering
OM KHANDAROHI HUM HUM PHAT OM
Table so that each knight has two
friends for his neighbors. 49. a) Show
that the puzzle can be reduced to
determining whether there is a
Hamilton circuit in the graph in which
each knight is represented by a vertex
and two knights are connected in the
gr
realization of 226 universal compassion 32, 73,
80, 94, 151. See also compassion quick path to
enlightenment 75 training in 8384 unmistaken
awareness 128 unproduced space 122, 135
MODERN BUDDHISM 432 V Vaibhashika 16, g
Vairochana 273, g vajra body 189, 1
property Q is monotone decreasing
where Q is the property of not having
property P. 66. Suppose that P is a
monotone increasing property of
simple graphs. Show that the
probability a random graph with n
vertices has property P is a monotonic
nondecreasing
Dharma and the Supreme Assembly, And to
accomplish the aims of myself and others I shall
generate the mind of enlightenment. Having
generated the mind of supreme enlightenment,
I shall invite all sentient beings to be my guests
And engage in the pleasing,
awareness to move to its object, visual forms.
Without the moving wind, eye awareness
would be powerless to contact visual forms.
The reason we cannot see when we are asleep
is that the moving wind has withdrawn from
the door of the eye sense power back t
May 13, 2011 16:18 740 10 / Graphs A
simple graph can be used to determine
the minimum number of queens on a
chessboard that control the entire
chessboard. An n n chessboard has
n2 squares in an n n configuration. A
queen in a given position controls all
the clear light, the very subtle mind and its
mounted wind manifest and become active.
These cannot dissolve because they are
indestructible. After death, they simply pass to
the next life. Of the three subtle winds
mounted by the three subtle minds, the
April 2010. Appendix VII Quick Path to Great
Bliss THE EXTENSIVE SELF-GENERATION
SADHANA OF VAJRAYOGINI by Je
Phabongkhapa 321 Introduction The
instructions on the Highest Yoga Tantra practice
of Venerable Vajrayogini were taught by
Buddha Vajradhara in t
for the graph. 7. Given an incidence
matrix of an undirected graph, list its
edges and give the number of times
each edge appears. 8. Given a positive
integer n, generate a simple graph with
n vertices by producing an adjacency
matrix for the graph so tha
mandala. Upon this I arise in the form of
Venerable Vajrayogini. My outstretched right
leg treads on the breast of red Kalarati. My bent
left leg treads on the head of black Bhairawa,
which is bent backwards. I have a red-coloured
body which shines with a
into the union of great bliss and emptiness. We
meditate on this belief single-pointedly. This
meditation is called training in definitive Guru
yoga. We should repeat this practice of special
request and meditation again and again until
we spontaneously b
JOURNEY 309 THE TSOG OFFERING TO HERUKA
BODY MANDALA Blessing the outer and inner
offerings, the environment and beings, and the
substances of the tsog offering OM AH HUM
(3x) By nature exalted wisdom, having the
aspect of the inner offering and the indiv
O Great Hero we understand That, following in
the path of the Sugatas of the three times, You
are the source of all attainments. Forsaking all
minds of conceptualization Please continuously
enjoy this circle of tsog. AH LA LA HO The
Vajrayana Spiritual Gu
OM AHRGHAM AH HUM OM PADM AH HUM
OM VAJRA PUPE AH HUM OM VAJRA DHUPE
AH HUM OM VAJRA DIWE AH HUM OM VAJRA
GNDHE AH HUM OM VAJRA NEWIDE AH HUM
OM VAJRA SHAPTA AH HUM MODERN
BUDDHISM 326 Meditation and recitation of
Vajrasattva On my crown, on a lotus and m
CONDENSED SIX-SESSION YOGA I go for refuge
to the Guru and Three Jewels. Holding vajra and
bell I generate as the Deity and make offerings.
I rely upon the Dharmas of Sutra and Tantra and
refrain from all non-virtuous actions. Gathering
all virtuous Dharm
kn/2edges. A connected graph G = (V ,
E) with n vertices and m edges is said
to have optimal connectivity if (G) =
(G) = minvV deg v = 2m/n. 45. Show
that a connected graph with optimal
connectivity must be regular. 46. Show
these graphs have optimal conn
Exercise 3 in Section 10.6. 58. Devise
an algorithm for finding the shortest
path between two vertices in a simple
connected weighted graph that passes
through a specified third vertex. 59.
Show that if G is a simple graph with at
least 11 vertices, then
of these graphs. a) K5 b) K1,3 c) K2,3
d) K3,3 e) Q3 f ) C5 52. The distance
between two distinct vertices v1 and
v2 of a connected simple graph is the
length (number of edges) of the
shortest path between v1 and v2. The
radius of a graph is the minimum o
these properties is an invariant that
isomorphic simple graphs either both
have or both do not have. a)
connectedness b) the existence of a
Hamilton circuit c) the existence of an
Euler circuit d) having crossing
number C e) having n isolated vertices
f )