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Happiness is not a state of being. Happiness is a vector, it is movement.
Neal Shusterman
We're on the same radius from the Earth, and then we start to swing around to where we're ahead of them on the velocity vector, so we come in relative to the station from this forward velocity position and dock on to the forward end of the Lab.
Linda M. Godwin
We can regard the vector ci as representing certain physical, social, and psychological attributes of player i himself in that it summarizes some crucial parameters of player i's own payoff function Ui as well as the main parameters of his beliefs about his social and physical environment... the rules of the game as such allow any given player i to belong to any one of a number of possible types, corresponding to the alternative values of his attribute vector c i could take... Each player is assumed to know his own actual type but to be in general ignorant about the other players' actual types.
John Harsanyi
By generalization of methods developed by Kamefuchi, O'Raifeartaigh, and Salam, conditions for renormalizability of general gauge theories of massive vector mesons are derived. ... It is shown that all theories based on simple Lie groups (with the one exception of the neutral vector meson theory in interaction with a conserved current) are unrenormalizable.
Abdus Salam
Every person in your company is a vector. Your progress is determined by the sum of all vectors.
Elon Musk
To know the quantum mechanical state of a system implies, in general, only statistical restrictions on the results of measurements. It seems interesting to ask if this statistical element be thought of as arising, as in classical statistical mechanics, because the states in question are averages over better defined states for which individually the results would be quite determined. These hypothetical 'dispersion free' states would be specified not only by the quantum mechanical state vector but also by additional 'hidden variables' - 'hidden' because if states with prescribed values of these variables could actually be prepared, quantum mechanics would be observably inadequate.
John Stewart Bell
The radius vector describes equal areas in equal times.
Johannes Kepler
Helping people directly can be a noble thing. Forcing other people to do it with great inefficiency? Not so much. There isn't a single thing that I would petition the federal government to add to its task list, and I would ask that it stop doing the majority of the things that it is currently doing. My vote is going to the candidates that at least vector in that direction.
John D. Carmack
The triplet of specifications - the product-market scope, the growth vector and the competitive advantage - describes the firm's product-market path in the external environment.
Igor Ansoff
In a previous paper we showed that a static (nonrotating) black hole cannot be endowed with exterior scalar-meson or massive vector-meson fields. Here we show that the same is true for massive spin-2 meson fields. We also extend the above results to the case of a rotating stationary black hole. We conclude from our results that a black hole in its final (static or stationary) state cannot interact with the exterior world via the strong interactions which are mediated by meson fields such as the π (scalar), ρ (vector), and ƒ (spin-2). A direct consequence of this is the impossibility of determining the baryon number of the black hole by means of exterior measurements alone. This results in the transcendence of the law of baryon-number conservation as originally predicted by Wheeler.
Jacob Bekenstein
The necessity to conceptualise has to come very early on, and defining a vector of development for that film also at the beginning of the process will allow you much more freedom as you go along.
Walter Salles
Z-relation, or rather, "that certain pitch-class collections share the same 'interval vector' even though they are neither transpositionally nor inversionally equivalent was first pointed out by Howard Hanson in Harmonic Materials of Modern Music (New York: Appleton-Century-Crofts, 1960), p. 22, and by David Lewin in "Re: The Intervallic Content of a Collection of Notes," Journal of Music Theory 4:1 (1960). For a general criticism of Forte's concepts of pitch-class set equivalence see Perle, "Pitch-Class Set Analysis: An Evaluation," Journal of Musicology 8:2 (1990).
George Perle
What did it matter, Babe Ruth or Jersey Joe Stripp? If vector analysis was beyond me, I could still watch a ball game.
Roger Kahn
World War II changed the demography. For a while, high seriousness was a part (only a part) of the mix. No one likes to think that the vector that has carried him into the demography could get lost in the demography, but that is what happens. Rock and roll-or the generating spirit of rock and roll-could get lost there, easily. And just think of all the ideas-and changes-there were implicit in the hegemony of rock and roll. We could be left with... just some of the music.
George W. S. Trow
The possibility and significance of fractional angular momentum is discussed, and some simple physical realizations of it are mentioned. This leads naturally to consideration of the possibility of fractional quantum statistics, which is seen to be a possibility inherent in the kinematics of 2+1 dimensional quantum mechanics. Both sorts of fractionalization are intimately related to theories, and the classic considerations of Aharonov and Bohm on the significance of the vector potential in quantum mechanics. The meaning and importance of discrete gauge invariance in continuum theories is pointed out. Fractional statistics is shown to have a simple dynamical realization in the dynamics of charge-flux tube composites. Fractional statistics is shown to occur very naturally in the most geometrical quantum field theories in 2+1 dimensions, that is in the nonlinear sigma model and in quantum electrodynamics.
Frank Wilczek