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# and Suppose
# Suppose that P is some piece of knowledge.
# Suppose we have a spacetime that is globally hyperbolic, and two points and that can be connected by a timelike or null curve.
Let M be a differentiable manifold and p a point of M. Suppose that f is a function defined in a neighborhood of p, and differentiable at p. If v is a tangent vector to M at p, then the directional derivative of f along v, denoted variously as ( see covariant derivative ), ( see Lie derivative ), or ( see Tangent space # Definition via derivations ), can be defined as follows.
# Suppose that there exists a compact set such that
# Suppose that there exists a compact set such that
# Suppose φ: X → Y is a morphism of schemes of locally finite type over C. Then there exists a continuous map φ < sup > an </ sup >: X < sup > an </ sup > → Y < sup > an </ sup > such λ < sub > Y </ sub > ° φ < sup > an </ sup >
# Suppose we reduce the hours any single person can work in a day.
# Suppose B is flat.
# Suppose C is flat.
# Suppose that √ 2 is the ratio of two natural numbers, √ 2 = m / n
# Suppose that m / n has been reduced to its lowest common form by division
The album reached # 187 on the Billboard 200, and spawned several singles, including the Bosstones fan favorite —" Someday I Suppose " (# 19 Billboard Modern Rock Tracks ).
# " Don't Suppose "
# " Don't Suppose " ( Country Joe Mix )

# and there
# Deontological ethics, notions based on ' rules ' i. e. that there is an obligation to perform the ' right ' action, regardless of actual consequences ( epitomized by Kant's notion of the Categorical Imperative )
# Where, if there had been no object of the first kind, we would never have seen an object of the second kind.
# One bishop succeeding another in the same see meant that there was a continuity of teaching: " while the Church as a whole is the vessel into which the truth is poured, the Bishops are an important organ is carrying out this task ".
# At the third stage there are physical and social consequences, i. e., hangovers, family problems, work problems, etc.
# In any spontaneous process, there is always an increase in entropy of the universe
# Commonality — there must be one or more legal or factual claims common to the entire class ( in some cases, it must be shown that the common issues will predominate the proceedings over individual issues, such as the amount of damages due to a particular class member ),
# As experiences occur in the life of the individual, they are either, a ) symbolized, perceived and organized into some relation to the self, b ) ignored because there is no perceived relationship to the self structure, c ) denied symbolization or given distorted symbolization because the experience is inconsistent with the structure of the self.
# Any experience which is inconsistent with the organization of the structure of the self may be perceived as a threat, and the more of these perceptions there are, the more rigidly the self structure is organized to maintain itself.
# Are there any solutions?
# Are there any solutions beyond some that are easily found by inspection?
# Are there finitely or infinitely many solutions?
# Warrants: Apart from the commonly used short-dated options which have a maximum maturity period of 1 year, there exists certain long-dated options as well, known as Warrant ( finance ).
# there must be a public emergency threatening the life of the nation ;
Diddley sensed the choice of song would end his career then and there, and instead sang his # 1 hit " Bo Diddley ".
# Paul asks for prayers for his forthcoming journey to Jerusalem ; he hopes that the offering collected from the Gentile churches will be accepted there.
# Paul is planning to travel to Rome from Jerusalem and to spend some time there before moving on to Spain ; he hopes the Roman church will support his mission to Spain.
# Paul is aware that there is some conflict between Gentile and Jewish Christians in the Roman church, and he addressed those concerns ( chapters thirteen and the first half of fourteen ).
# " This is the noble truth of the origin of dukkha: it is this craving which leads to renewed existence, accompanied by delight and lust, seeking delight here and there, that is, craving for sensual pleasures, craving for existence, craving for extermination.
# Samudhaya: simultaneously with the experience of dukkha there arises tanha, thirst: the dissatisfaction with what is and the yearning that life should be different than it is.
# there is no automatic collision detection,
# The Executive branch had too much power, and that there was no check on him.
# The remaining contents of the container are added to the liquid, then briefly puréed until there is some texture remaining for garnish.
Television series executive producer Russell T Davies wrote in Doctor Who Magazine # 356 that there is no connection between the War of the books and the Time War of the television series.
# With mutual SSL / TLS, security is maximal, but on the client-side, there is no way to properly end the SSL connection and disconnect the user except by waiting for the SSL server session to expire or closing all related client applications.
# Protectionism – Relates more often to economics, there should be legal barriers to control trade and cultural exchange with people in other states.

# and exists
# Therefore, God exists.
# Psychological adjustment exists when the concept of the self is such that all the sensory and visceral experiences of the organism are, or may be, assimilated on a symbolic level into a consistent relationship with the concept of self.
# Psychological maladjustment exists when the organism denies awareness of significant sensory and visceral experiences, which consequently are not symbolized and organized into the gestalt of the self structure.
For case # 2, a path leading out of the area exists.
# The final harmony that presently exists in the New Testament canon, around 85-90 AD.
# Nothing exists ;
# Even if something exists, nothing can be known about it ; and
# A " duty " exists for a person to act " reasonably "; and
# there exists a Turing machine that recognizes a language in S
# there exists a Turing machine that recognizes a language not in S
Larry Stockmeyer has proved that for every # P problem P there exists a randomized algorithm using oracle for SAT, which given an instance a of P and ε > 0 returns with high probability a number x such that.
# If an all-powerful and perfectly good god exists, then evil does not.
# God exists.
# If there exists an omnipotent, omniscient, and perfectly good being, then no evil exists.
# Evil exists ( logical contradiction ).
# Therefore, evidence prefers that no god, as commonly understood by theists, exists.
# Intelligence exists and is accurately measurable across racial, language, and national boundaries.
# The condition that exists when a telephone or other user instrument is in use, i. e., during dialing or communicating.
# The condition that exists when a telephone or other user instrument is not in use, i. e., when idle waiting for a call.
# The state that exists when there is complete assurance that under all conditions an IT system is based on the logical correctness and reliability of the operating system, the logical completeness of the hardware and software that implement the protection mechanisms, and data integrity.
It is notable as the first appearance of Firestar in a Marvel Comics story, though the version of Firestar that exists within Marvel continuity would not appear until Uncanny X-Men # 193 ( May 1985 ).
# Individuals requesting emergency care, or those for whom a representative has made a request if the patient is unable, must receive a medical screening examination to determine whether an emergency medical condition ( EMC ) exists.

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