Suppose the goal is to find and describe the solution ( s ), if any, of the following system of linear equations:

Suppose we have a system of N bosons ( fermions ) in the symmetric ( antisymmetric ) state

Suppose the state of a quantum system A, which we wish to copy, is ( see bra-ket notation ).

Suppose we were to increase the concentration of CO in the system.

Suppose this fuzzy system has the following rule base:

Suppose we have a preparation procedure for a system in a physics

Suppose that we want to solve a well-conditioned system of linear equations.

Suppose this system of N qubits undergoes a dephasing process, a rotation around the eigenstates of, for example.

Suppose that takes the form of the incommensurate quantity, the base of the natural system of logarithms.

Suppose the system starts in state 2, represented by the vector.

Suppose the system has one external variable x.

Suppose that the gain of the control system is reduced drastically and it is restarted.

Suppose a system is subdivided into N sub-systems with negligible interaction energy.

Suppose that is input to system and gives output.

Definition 2: Suppose is the impulse response of the system.

That is, since log | f ( z )| is harmonic, it is thus the steady state of a heat flow on the region D. Suppose a strict maximum was attained on the interior of D, the heat at this maximum would be dispersing to the points around it, which would contradict the assumption that this represents the steady state of a system.

Suppose S is in a microstate indexed by m. From the above definitions, the total energy of the system S * is given by

Suppose we represent a system by an operator.

Suppose that we use a pub / sub system to log problems in a factory: any application that senses an error publishes an appropriate message, and the messages are displayed on a console by the logger daemon, which subscribes to the " errors " topic.

Suppose that the data is generated by a first-order system and let denote the solution of the filter's Riccati equation.

Suppose a pendulum is swinging with a particular period T. For such a system, it is advantageous to perform calculations relating to the swinging relative to T. In some sense, this is normalizing the measurement with respect to the period.

Suppose for simplicity that a certain system is characterized by two variables-a dependent variable x and an independent variable t, where x is a function of t. Both x and t represent quantities with units.

Suppose a system is defined by the Lagrangian L with generalized coordinates q.

Suppose Af is defined in the sub-interval Af.

Suppose they both had ventured into realms which their colleagues thought infidel: is this the way gentlemen settle frank differences of opinion??

Suppose, says Dr. Lyttleton, the proton has a slightly greater charge than the electron ( so slight it is presently immeasurable ).

Suppose it is something right on the planet, native to it.

Suppose there is a program

Suppose there is a chain at 1A, 2A, 3A, and 4A, along with another chain at 6A and 7A.

If two players tie for minority, they will share the minority shareholder bonus. Suppose Festival is the chain being acquired.

Alex is the majority shareholder, and Betty is the minority shareholder. Suppose now that Worldwide is the chain being acquired.

Suppose that R ( x, y ) is a relation in the xy plane.

) Then X < sub > i </ sub > is the value ( or realization ) produced by a given run of the process at time i. Suppose that the process is further known to have defined values for mean μ < sub > i </ sub > and variance σ < sub > i </ sub >< sup > 2 </ sup > for all times i. Then the definition of the autocorrelation between times s and t is

Suppose that a car is driving up a tall mountain.

Suppose that the car is ascending at 2. 5 km / h.

Suppose the vector field describes the velocity field of a fluid flow ( such as a large tank of liquid or gas ) and a small ball is located within the fluid or gas ( the centre of the ball being fixed at a certain point ).

Suppose that F is a partial function that takes one argument, a finite binary string, and possibly returns a single binary string as output.

Suppose, says Searle, that this computer performs its task so convincingly that it comfortably passes the Turing test: it convinces a human Chinese speaker that the program is itself a live Chinese speaker.

; Dennett's reply from natural selection: Suppose that, by some mutation, a human being is born that does not have Searle's " causal properties " but nevertheless acts exactly like a human being.

Suppose that is a complex-valued function which is differentiable as a function.

Suppose a mass is attached to a spring which exerts an attractive force on the mass proportional to the extension / compression of the spring.

Suppose that in a mathematical language L, it is possible to enumerate all of the defined numbers in L. Let this enumeration be defined by the function G: W → R, where G ( n ) is the real number described by the nth description in the sequence.