When the cities are viewed as points in the plane, many natural distance functions are metrics, and so many natural instances of TSP satisfy this constraint.

When consumers maximize utility with respect to a budget constraint, the indifference curve is tangent to the budget line, therefore, with m representing slope:

When we apply this constraint, we diagonalize the moment of inertia tensor, which simplifies our three equations into a special set of equations called Euler's equations.

When the puzzle is weakened in this way it is possible to introduce the extra constraint that no two items, including A and C, can be left together .< sup >, p. 27 .</ sup >

When ξ is finite, each physical configuration ( orbit of the group of gauge transformations ) is represented not by a single solution of a constraint equation but by a Gaussian distribution centered on the extremum of the gauge breaking term.

When there are no free variables, the factor graph of a function f is equivalent to the constraint graph of f as an instance to a constraint satisfaction problem.

When interpreted as binary matrices, these arrays of numbers have the property that, since each row and column has the constraint that it only has one point on it, they are therefore also permutation matrices.

When Johnson ejaculated `` Howsabout my buying us all a nice cold Co-cola, Ma'am ''??

When you pass a church on an Irish bus, all the hands flurry in the sign of the cross.

When words can be used in a more fresh and primitive way so that they strike with the force of sights and sounds, when tones of sound and colors of paint and the carven shape all strike the sensibilities with an undeniable force of data in and of themselves, compelling the observer into an attitude of attention, all this imitates the way experience itself in its deepest character strikes upon the door of consciousness and clamors for entrance.

When we consider the disorganized state of the world community, and the legacy of predispositions adversely directed against all who are identified as Jews, it is obvious that the struggle for the minds and muscles of men needs to be prosecuted with increasing vigor and skill.

When Dr. Adenauer was approached by a world citizen delegation to find out his disposition of my case, he gave them his personal approval of my entry, saying that all men advocating peace should be welcomed into Germany.

When their levies came shambling into camp, they were all elbows, hair, and beard.

When it was over, eight of his company were still alive and all eight were wounded.

When all else fails, it is argued that open sessions slow down governmental operations.

When she returned to life in the big house she felt shriveled of all emotion save dedication to duty.

When they first married he had been working in the fields all day, and she would get in the car and drive to wherever he was working, to take him a fresh hot meal.

When the roof blocks are all in place, the final rows of wall blocks are mortared into position.

When air travel was in its infancy, the sky was considered big enough and high enough for all.

When solving an equation that involves division as well as other steps, do all the division steps first to reduce those parts of the equation to their numerical value.

When drilling all the way through a workpiece, always place a piece of scrap wood underneath.

A verse familiar to all grammarians is the quatrain: `` I saw a man once beat his wife When on a drunken spree.

) When the complete file has been read, the grammatical descriptions for all text forms found in the dictionary have been stored in the W-region ; ;

When the Yalta Conference opened, the American policy of postponing all discussion of Russia's western boundaries until the peace conference had broken down.

When the patient was not allowed to move his body in any way at all, the following striking results occurred.

When all has been said, however, the big branch store remains a major break with history in the development of American retailing.

When Costaggini had used up all the sketches thirty-six feet of empty frieze were left over.

When it was all arranged to fit, and not to interrupt the lengthwise flow of movement in the frieze, the cartoons were tried in place.

When the temperature reached 32-degrees-F all protozoan activity ceased ; ;

When all of the rinse water has passed from the reservoir to the tubs the main drains are lowered to permit complete draining of the tubs.

When she reached port, she was found to have on board only eight men, all near starvation.

When a pawn advances two squares from its starting position and there is an opponent's pawn on an adjacent file next to its destination square, then the opponent's pawn can capture it en passant ( in passing ), and move to the square the pawn passed over.

When squares were revived ( around 1925 to 1940, depending on the region ), contra dances were generally not included.

When these assumptions are violated or other statistical properties are desired, other estimation techniques such as maximum likelihood estimation, generalized method of moments, or generalized least squares are used.

When enlarged, individual pixels appear as squares.

When it moves, it can move two squares horizontally and one square vertically, or two squares vertically and one square horizontally.

When the participants started to gather in one of the city's principal squares, a huge crowd of opponents attacked the event, injuring several participants and stopping the march.

When the problem has substantial uncertainties in the independent variable ( the ' x ' variable ), then simple regression and least squares methods have problems ; in such cases, the methodology required for fitting errors-in-variables models may be considered instead of that for least squares.

When the A's faced the Cincinnati Reds, whose team rules forbade facial hair, in the 1972 World Series, the series was dubbed by media as " the hairs vs. the squares ".

When the Hussite army faced a numerically superior opponent they prepared carts for the battle by forming them into squares or circles.

When prepared at home, they take various shapes including triangles, rounds and squares.

When the player has 4 pawns in the game ( outside the nest ), whenever he gets a 6, he can move 7 squares.

When a pawn " eats " an opponent's pawn ( by landing on the same square, if it is not a safe square ), it " kills " it, sending it back to the nest, and advances 20 squares.

When a pawn reaches the end, one of the other pawns of the same color can advance 10 squares.

When a city is created, it has a culture rating of 1, which allows influence over the closest 8 squares only ( a sphere of influence 1 square in radius ).

When this is not the case, total least squares also known as Errors-in-variables models, or Rigorous least squares, should be used.

When White plays Nc3, Black will exchange bishop for knight in order to enhance his control over the central light squares, and play on the queenside with moves such as ... a5 – a4 and ... b5.

When the method of least squares is used to estimate α < sub > 0 </ sub > and α < sub > 1 </ sub >, then the residuals, unlike the errors, cannot be independent since they satisfy the two constraints

When a goal is completed, the squares fill to reveal completed goals.

When the model function is not linear in the parameters, the sum of squares must be minimized by an iterative procedure.

When the Secret Six attempt to break into Belle Reve prison, Bronze Tiger squares off with Catman to see who is the superior feline-themed martial artist.