* John F. Kennedy and his family often enjoyed horseback riding and other recreational activities.

The bifurcations of a hyperbolic fixed point x < sub > 0 </ sub > of a system family F < sub > μ </ sub > can be characterized by the eigenvalues of the first derivative of the system DF < sub > μ </ sub >( x < sub > 0 </ sub >) computed at the bifurcation point.

Sometimes " long double " is used for this in the C language family ( the C99 and C11 standards " IEC 60559 floating-point arithmetic extension-Annex F " recommend the 80-bit extended format to be provided as " long double " when available ), though " long double " may be a synonym for " double " or may stand for quadruple precision.

After President John F. Kennedy was assassinated in, his family and friends discussed how to construct a library that would serve as a fitting memorial.

Today there are several languages in the ML family ; the two major dialects are Standard ML ( SML ) and Caml, but others exist, including F # — a language that Microsoft supports for their. NET platform.

He has stated that he admires the Kennedy family, and volunteered for Robert F. Kennedy's presidential campaign in 1968.

Type III enzymes belong to the beta-subfamily of N6 adenine methyltransferases, containing the nine motifs that characterise this family, including motif I, the AdoMet binding pocket ( FXGXG ), and motif IV, the catalytic region ( S / D / N ( PP ) Y / F ).

The primary ( military band ) saxophone family alternates instruments in B and E. The other (" orchestral ') family patented by Sax, alternating instruments in C and F, has always been marginal, although some manufacturers tried to popularise the soprano in C ( or C soprano saxophone ), the alto in F ( or mezzo-soprano saxophone ), and the tenor in C ( or C melody saxophone ) early in the twentieth century.

Norman F. Cantor notes the three roles Boniface played that made him " one of the truly outstanding creators of the first Europe, as the apostle of Germany, the reformer of the Frankish church, and the chief fomentor of the alliance between the papacy and the Carolingian family.

If the field K has an absolute value, then the weak topology σ ( X, F ) is induced by the family of

Let F: J → C be a diagram of type J in a category C. A cone to F is an object N of C together with a family ψ < sub > X </ sub >: N → F ( X ) of morphisms indexed by the objects of J, such that for every morphism f: X → Y in J, we have F ( f ) o ψ < sub > X </ sub >

A co-cone of a diagram F: J → C is an object N of C together with a family of morphisms

If J is a discrete category then a diagram F is essentially nothing but a family of objects of C, indexed by J.

The cone φ consists of a family of morphisms φ < sub > X </ sub >: L → F ( X ) called the projections of the product.

The limiting cone is given by the family of maps π < sub > X </ sub >: Cone ( N, F ) → Hom ( N, FX ) where π < sub > X </ sub >( ψ ) = ψ < sub > X </ sub >.

Robert F. Kennedy, who hated Johnson for his attacks on the Kennedy family, said later that his brother offered the position to Johnson as a courtesy and did not expect him to accept.

An infranatural transformation η from F to G is simply a family of morphisms.

In 1865, the Steinway family sent a letter to C. F.

Robert F. Kennedy, who hated Johnson for his attacks on the Kennedy family, said later that his brother offered the position to Johnson as a courtesy and did not expect him to accept.

That semantics will be manifest in part because it constrains the network topology: a network purporting to describe family memberships as we know them cannot have a cycle in its parent links, while graphs ( i. e., data structures ) are of course under no such constraint and may have arbitrary cycles.

The family of topological orderings of a DAG is the same as the family of linear extensions of the reachability relation for the DAG, so any two graphs representing the same partial order have the same set of topological orders.

Family trees may also be seen as directed acyclic graphs, with a vertex for each family member and an edge for each parent-child relationship.

* The Erdős – Hajnal conjecture that in a family of graphs defined by an excluded induced subgraph, every graph has either a large clique or a large independent set.

Equivalently, every family of graphs that is closed under minors can be defined by a finite set of forbidden minors, in the same way that Wagner's theorem characterizes the planar graphs as being the graphs that do not have the complete graph K < sub > 5 </ sub > and the complete bipartite graph K < sub > 3, 3 </ sub > as minors.

** biclique cover, a family of complete bipartite graphs that includes every edge

In planar graphs, the maximum independent set remains NP-complete to find exactly but may be approximated to within any approximation ratio c < 1 in polynomial time ; similar polynomial-time approximation schemes exist in any family of graphs closed under taking minors.

The family of chordal graphs may be defined inductively, as the graphs whose vertices can be divided into three nonempty subsets A, S, and B, such that A ∪ S and S ∪ B both form chordal induced subgraphs, S is a clique, and there are no edges from A to B.

The complete graph K < sub > 6 </ sub >, the Petersen graph, and the other five graphs in the Petersen family do not have linkless embeddings.

The linklessly embeddable graphs are closed under graph minors and Y-Δ transforms, have the Petersen family graphs as their forbidden minors, and include the planar graphs and apex graphs.

As showed, each of the seven graphs of the Petersen family is intrinsically linked: no matter how each of these graphs is embedded in space, they have two cycles that are linked to each other.

The set of forbidden minors for the linklessly embeddable graphs was identified by: the seven graphs of the Petersen family are all minor-minimal intrinsically linked graphs.

`` I have just come from viewing a man who had made the fortune of his country, but now is working all night in order to support his family '', he reflected.

For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.

We consider a rural community as an assemblage of inhabited dwellings whose configuration is determined by the location and size of the arable land sites necessary for family subsistence.

Engaged as it is in a battle for world trade as a condition of national survival, this country can have little patience with labor's family feuds.

There is little doubt if they had a secret ballot, they would vote for food for their family, in place of ideological purity out on the farm.

The family is largely broken up ; ;

For it is the family that, in China, has always provided social security for the indigent, the sick, the down-and-out members of the clan.

Part of the family should be sleeping while the rest is awake.

The Peace Corps should not pay the expenses of a wife or family, unless the wife is also accepted for full-time Peace Corps work on the same project.

Arriving at the waterside, the boat is launched, the family taken aboard and, that easily, another day afloat is begun.

This one was set up here in 390 A.D. on a pedestal, the faces of which are carved with statues of the emperor and his family watching games in the Hippodrome, done so realistically that the obelisk itself is included in them.

Hotei is 23 feet long with an 8-1/2-foot beam and every inch a family boat.

First and foremost: No one -- no, not anyone -- in the family is allowed to issue blanket invitations to his or her own circle.

Follow pool-care instructions to the letter, and be sure that one person ( in the family or not ) is regularly responsible for each aspect of the job, with no chance for claiming, `` It wasn't my turn ''.

They come prepared for family fun because Americans in ever-growing numbers are learning that here is the way to a fine economical vacation that becomes a family experience of lasting importance.

Camping is family fun, and it is helping more Americans see more of the country than they ever saw before.

When a family buys a home the title is subject to a perpetual easement to Tri-State.

In one cartoon a family is shown outside a theater with the head of the family addressing the doorman: `` Excuse me, but when we came out we found that we had left my daughter's handbag and my wife's behind ''.

It is presumed to occur in other members of the Brassica family.

A family of five plans to go together either to the beach or to the mountains, and a coin is tossed to decide.

When this experiment is viewed as composed of five binomial trials, one for each member of the family, the outcomes of the trials are obviously not independent.