Suppose a psychologist proposes a theory that there are two kinds of intelligence, " verbal intelligence " and " mathematical intelligence ", neither of which is directly observed.

Suppose we are given a Hilbert space and a Hermitian operator over it called the Hamiltonian H. Ignoring complications about continuous spectra, we look at the discrete spectrum of H and the corresponding eigenspaces of each eigenvalue λ ( see spectral theorem for Hermitian operators for the mathematical background ):

In mathematical logic, the conservativity theorem states the following: Suppose that a closed formula

Suppose that we had a general decision algorithm for statements in a first-order language.

* Suppose we have a language L recognized by both the RP algorithm A and the ( possibly completely different ) co-RP algorithm B.

Suppose that in our " language ", the letter A is used 75 % of the time, and the letter B is used 25 % of the time.

Suppose we have a language without modal adverbs like " necessarily ".

Suppose H ( M, w ) is the problem of determining whether a given Turing machine M halts ( by accepting or rejecting ) on input string w. This language is known to be undecidable.

Suppose E ( M ) is the problem of determining whether the language a given Turing machine M accepts is empty ( in other words, whether M accepts any strings at all ).

In plain language: Suppose is false.

Suppose that L is a lattice of determinant d ( L ) in the n-dimensional real vector space R < sup > n </ sup > and S is a convex subset of R < sup > n </ sup > that is symmetric with respect to the origin, meaning that if x is in S then − x is also in S.

Suppose that the linear differential operator L is the Laplacian,, and that there is a Green's function G for the Laplacian.

Suppose that X is a space and that L is a line bundle on X.

Suppose there is some field extension L of k such that is a domain.

Suppose a firm's output Y is given by the production function where K and L are inputs to production ( say, capital and labor ).

Suppose their consumption set, or the enumeration of all possible consumption bundles that could be selected if there are no budget constraints, has L commodities and is limited to positive amounts of consumption of each commodity.

Suppose L / K is an unramified extension of local fields, with ring of integers O < sub > K </ sub > of K such that the residue field, the integers of K modulo their unique maximal ideal φ, is a finite field of order q.

Suppose a light source has luminosity L ( d ) when observed from a distance of parsecs, and luminosity L ( 10 ) when observed from a distance of 10 parsecs.

Suppose f is in L < sup > p </ sup >( R < sup > d </ sup >) and g is in L < sup > q </ sup >( R < sup > d </ sup >) and

Suppose that the angular momentum for the orbital motion is L. Then the orbital magnetic dipole moment is:

Suppose that the string has fixed length L and that during replication the virus copies each digit one by one, making a mistake with probability q independently of all other digits.

Suppose that it takes twice as much capital per unit of output to produce trucks than it does to produce lasers, so that the capital cost per unit equals $ 20, 000 for trucks ( T ) and $ 10, 000 for lasers ( L ), where these coefficients are initially assumed not to change.

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.