If the eigenvalues are all positive, then the frequencies are all real and the stationary point is a local minimum.

If the match duration is three or four days, the minimum lead is 150 runs.

If disk galaxies merge with another galaxy of comparable mass ( at least 15 percent of its mass ) the merger will likely destroy, or at a minimum greatly disrupt the disk, yet the resulting galaxy is not expected to be a disk galaxy.

If a higher minimum wage increases the wage rates of unskilled workers above the level that would be established by market forces, the quantity of unskilled workers employed will fall.

If no minimum wage is in place, workers and employers will continue to adjust the quantity of labor supplied according to price until the quantity of labor demanded is equal to the quantity of labor supplied, reaching equilibrium price, where the supply and demand curves intersect.

If for example the industry is large enough to support one company of minimum efficient scale then other companies entering the industry will operate at a size that is less than MES, meaning that these companies cannot produce at an average cost that is competitive with the dominant company.

If the constituency is in a jurisdiction using PR-STV in its MMDs, an absolute majority of 50 % plus 1 will likely be the minimum required for victory ( depending on which quota is used ) so that the election in the SMD is by the alternative vote.

If a B-tree cluster contains only 1 value, it is the minimum, black, and has two child pointers.

If the coil is designed to be energized with alternating current ( AC ), a small copper " shading ring " can be crimped to the end of the solenoid, creating a small out-of-phase current which increases the minimum pull on the armature during the AC cycle.

If the bias is small, we can let U − E ≈ φM in the expression for κ, where φM, the work function, gives the minimum energy needed to bring an electron from an occupied level, the highest of which is at the Fermi level ( for metals at T = 0 kelvins ), to vacuum level.

If it were different, states would not have the right, nor be in a position, to maintain that minimum of order on which all civilized life rests .” Calling the concept a “ red herring ” he stated: “ This argument has been used by the terrorists themselves, arguing that there is no difference between their activities and those by governments and states.

) If a fifth ( deciding ) set is reached, the minimum required score remains at 15.

If each edge has a distinct weight then there will be only one, unique minimum spanning tree.

If the edge weights are not unique, only the ( multi -) set of weights in minimum spanning trees is unique, that is the same for all minimum spanning trees.

If threads are cut into a cylindrical rod, that minimum area occurs at the root of the thread.

If the rule specifies an AND relationship between the mappings of the two input variables, as the examples above do, the minimum of the two is used as the combined truth value ; if an OR is specified, the maximum is used.

If the pension benefit fell below a specified level, then such workers were allowed to substitute a wage figure of 75 % of the average wage during this period, thus creating something like a minimum wage benefit.

If f is a differentiable function on R ( or an open interval ) and x is a local maximum or a local minimum of f, then the derivative of f at x is zero ; points where are called critical points or stationary points ( and the value of f at x is called a critical value ).

If all of the eigenvalues are positive, then the point is a local minimum ; if all are negative, it is a local maximum.

If the graph is not connected, then it finds a minimum spanning forest ( a minimum spanning tree for each connected component ).

* If we ignore isolated vertices, which will each be their own component of the minimum spanning forest, V ≤ E + 1, so log V is O ( log E ).

If they are selected to serve as a pilot ( aircraft ), they will serve 8 – 11 years minimum from their date of winging, and if they are selected to serve as a naval flight officer they will serve 6 – 8 years.

If he is good, he may not be legal ; ;

If the last day ( due date ) for performing any act for tax purposes, such as filing a return or making a tax payment, etc., falls on Saturday, Sunday, or a legal holiday, you may perform that act on the next succeeding day which is not a Saturday, Sunday, or legal holiday.

If A taxpayer dies, the executor, administrator, or legal representative must file the final return for the decedent on or before the 15th day of the 4th month following the close of the deceased taxpayer's normal tax year.

If you have neither a legal residence nor a principal place of business in any Internal Revenue district, your return should be filed with the District Director of Internal Revenue, Baltimore 2, Md..

If your principal place of abode for the tax year is outside the United States ( including Alaska and Hawaii ), Puerto Rico, or the Virgin Islands and you have no legal residence or principal place of business in any Internal Revenue district in the United States, you should file your return with the Office of International Operations, Internal Revenue Service, Washington 25, D.C..

If the appellate court does find a legal defect in the decision " below " ( i. e., in the lower court ), it may " modify " the ruling to correct the defect, or it may nullify (" reverse " or " vacate ") the whole decision or any part of it.

If unchallenged, these decisions have the power to settle more minor legal disputes once and for all.

If the demands of these two sovereigns upon his duty of allegiance come into conflict, those of the United States have the paramount authority in American law ; likewise, those of the foreign land have paramount authority in their legal system.

If the media agency responsible for the authorized production allows material from fans, what is the limit before legal constraints from actors, music, and other considerations, come into play?

If the player to move has no legal moves, the game is over ; it is either a checkmate — if the king is under attack — or a stalemate — if the king is not.

If a " positive list " approach were taken, only species evaluated and approved for the positive list would be permitted in trade, thus lightening the review burden for member states and the Secretariat, and also preventing inadvertent legal trade threats to poorly known species.

Marriage is not a sacrament of the Christian Science church, but the church's by-laws require a legal, religious ceremony for marriage: " If a Christian Scientist is to be married, the ceremony shall be performed by a clergyman who is legally authorized.

Islamists have asked the question, " If Islam is a way of life, how can we say that those who want to live by its principles in legal, social, political, economic, and political spheres of life are not Muslims, but Islamists and believe in Islamism, not Islam?

If a fighter loses consciousness (" goes limp ") as a result of legal strikes, or does not immediately defend himself after a knockdown, he is declared knocked out.

If the input has no syntax errors, the parser continues with these steps until all of the input has been consumed and all of the parse trees have been reduced to a single tree representing an entire legal input.

If it lapses, the legal basis for enforcing discipline disappears, and soldiers lose their legal indemnity for acts committed under orders.

If the court believes that developments or trends in legal reasoning render the precedent unhelpful, and wishes to evade it and help the law evolve, it may either hold that the precedent is inconsistent with subsequent authority, or that it should be distinguished by some material difference between the facts of the cases.

If the 2005 report articulates the new official position of the United States, the time has come now for the State Department to formally notify the United Nations of this new position and assume the international legal consequences.

If there is an issue where the court does not have the constitution as a guide, there are no legal criteria to use.

If a wrestler's shoulders are down ( both shoulders touching the mat ) and any part of the opponent's body is lying over the wrestler, it is completely legal to start a three count.

If a tag was made, the other team had to automatically switch their legal wrestler as well.

If so, prior to the end of the Cold War, socialist law would be ranked among the major legal systems of the world.