Meaningful policies include: ( A ) kinds of cars the state should own, ( B ) when cars should be traded, ( C ) the need and assignment of vehicles, ( D ) use of cars in lieu of mileage allowances, ( E ) employees taking cars home, and ( F ) need for liability insurance on state automobiles.

For United States expenditures under subsections ( A ), ( B ), ( D ), ( E ), ( F ), ( H ) through ( R ) of Section 104 of the Act or under any of such subsections, the rupee equivalent of $200 million.

From the brightness of the F component of the solar corona and the brightness of the zodiacal light, an estimate of the particle sizes, concentrations, and spatial distribution can be derived for regions of space near the ecliptic plane.

F.

We can do this through the characteristic values and vectors of T in certain special cases, i.e., when the minimal polynomial for T factors over the scalar field F into a product of distinct monic polynomials of degree 1.

Second, even if the characteristic polynomial factors completely over F into a product of polynomials of degree 1, there may not be enough characteristic vectors for T to span the space V.

The second situation is illustrated by the operator T on Af ( F any field ) represented in the standard basis by Af.

If ( remember this is an assumption ) the minimal polynomial for T decomposes Af where Af are distinct elements of F, then we shall show that the space V is the direct sum of the null spaces of Af.

Let T be a linear operator on the finite-dimensional vector space V over the field F.

Let p be the minimal polynomial for T, Af, where the Af, are distinct irreducible monic polynomials over F and the Af are positive integers.

Let T be a linear operator on the finite-dimensional vector space V over the field F.

Suppose that the minimal polynomial for T decomposes over F into a product of linear polynomials.

Let V be a finite-dimensional vector space over an algebraically closed field F, e.g., the field of complex numbers.

Let N be a positive integer and let V be the space of all N times continuously differentiable functions F on the real line which satisfy the differential equation Af where Af are some fixed constants.

In other words, if F satisfies the differential equation Af, then F is uniquely expressible in the form Af where Af satisfies the differential equation Af.

Thus F satisfies Af if and only if F has the form Af.

With the above results we can make the following remarks about the graph of F.

Then every component of the graph of F must be defined over a bounded sub-interval.

Further, we see by Lemma 2 that the multiplicity of F can only change at a tangent point, and at such a point can only change by an even integer.

We have shown that the graph of F contains at least one component whose inverse is the entire interval {0,T}, and whose multiplicity is odd.

The functions F and B have exactly the same multiplicity at every argument T.

Respondents' opinions regarding negotiated bidding ( Part F of the questionnaire ) 7.

F.