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Page "Least squares" ¶ 57
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If and however
If, however, the child is weak, overweight, or afraid, more help will be needed.
If, however, it would help to intensify your anguish, I can delimit the powers of a few of the divinities you've affronted and describe the punishment they meted out in one analogous instance.
If, however, the figure to be discerned were complicated, composed of several interlocking subfigures, and so on, even the tracing process failed him, and he could not focus even relatively simple shapes among its parts.
If the retailer and hotelman's downtown unit sales have been decreasing, however, his dollar volume continues to rise, and it is dollars which you put in the bank.
If the distant patron of the suburban branch has been frightened away from downtown by traffic problems, however, the city store can only pressure the politicians to do something about the highways or await the completion of the federal highway program.
If, however, we are seeking the optimal R-stage policy for a given feed state, only one search for a maximum is required at the final step.
If the photographically realistic continuity of dreams, however bizarre their combinations, denies that it is purely a composition of the brain, it must be compounded from views of diverse realities, although some of them may never be encountered in what we are pleased to call the real life.
If, however, the numbers are referring to allies it could possibly include forces from Tyre, Judah, Edom, and Moab.
If, however, there are no shares left when the chain is founded, then the founding player does not receive the free share.
If, however, one picks non-optimally, after improving a sub-optimal component and moving on to improve a more optimal component, one can see an increase in return.
If, however, a layer of paper remains stuck to the surface, the adhesive has not failed.
If, however, the court finds that the current dispute is fundamentally distinct from all previous cases ( called a " matter of first impression "), judges have the authority and duty to make law by creating precedent.
If however it was possible to have two of any one kind of fruit there would be 3 more combinations: one with two apples, one with two oranges, and one with two pears.
If a cabal can be implicated in a sequence of events, there is always the hope, however tenuous, of being able to break the cabal's power – or joining it and exercising some of that power oneself.
If however it has already saved its life by self-castration and is again pursued, then it stands up and reveals that it offers no ground for their eager pursuit, and releases the hunters from all further exertions, for they esteem its flesh less.
If people with cholera are treated quickly and properly, the mortality rate is less than 1 %; however, with untreated cholera, the mortality rate rises to 50 – 60 %.
If the function f is not linear ( i. e. its graph is not a straight line ), however, then the change in y divided by the change in x varies: differentiation is a method to find an exact value for this rate of change at any given value of x.
If in the above example Mary had overpaid, paying £ 750 for the watch, her damages in contract would still be £ 450 ( giving him the item he contracted to buy ), however in tort damages are £ 700.
If this happens to all industries however, everyone would be worse off than if they had been subject to the rigours of market competition.
His government has also been condemned for allegedly arming and financing the insurgency in Somalia ; the United States is considering labeling Eritrea a " State Sponsor of Terrorism ," however, many experts on the topic have shied from this assertion, stating that " If there is one country where the fighting of extremists and terrorists was a priority when it mattered, it was Eritrea.
Frege, however, did not conceive of objects as forming parts of senses: If a proper name denotes a non-existent object, it does not have a reference, hence concepts with no objects have no truth value in arguments.
If the occulting object has an atmosphere, however, some of the luminosity of the star can be refracted into the volume of the umbra.
If they had gone it alone, the IRB and the Volunteers would possibly have come to their aid ; however, the IRB leaders met with Connolly in January 1916 and convinced him to join forces with them.
If, however, the firm is not a perfect competitor in the input markets, then the above conclusions are modified.
If this is done on fractals, however, no new detail appears ; nothing changes and the same pattern repeats over and over, or for some fractals, nearly the same pattern reappears over and over.

If and measurements
If one assumes that the average flux did not change between measurements, a mass-distribution curve is obtained which relates the flux of particles larger than a given radius to the inverse 7/2 power of the radius.
If these are comparable to earthly measurements, the city will cover an area about half the size of the contiguous United States.
If the value of is not known a priori, it can be determined from two measurements of the solution.
If the transmitter's output is coherent ( phase synchronized ), there is another effect that can be used to make almost instant speed measurements ( no memory is required ), known as the Doppler effect.
If Alice transmitted a ' 0 ', all his measurements will produce the same result ; otherwise, his measurements will be split evenly between + 1 / 2 and-1 / 2.
If the launch fibre is underfilled, for example as a consequence of being energized by a laser diode or edge-emitting LED, there will be no effect on the mode power distribution or loss measurements.
If the gage is used in an application requiring 16 % accuracy, having the gage accuracy reduced to 4 % will not affect the accuracy of the final measurements.
If it goes somewhere else, the Newtonians argue, one must question one's measurements of the original position of the object, the exact direction of the striking object, gravitational or other fields that were inadvertently ignored, etc.
If one believes that spin measurements are indeed measuring the spin of a particle that existed prior to the measurement, then one does reach contradictions.
As an example, if one measures the position with an accuracy of, and the momentum with an accuracy of, then If we make further measurements in order to get more information, we disturb the system and change the trajectory into a new one depending on the measurement setup ; therefore, the measurement results are still subject to Heisenberg's uncertainty relation.
If the waves come from a localized source such as an earthquake or explosion, measurements at more than one location can be used to locate the source.
If this is not done until the lifter is on the platform for an official attempt, any necessary explanation and / or measurements will be done on the lifter ’ s time for that attempt.
If a GM tube is to be used for gamma or X-ray dosimetry measurements, the energy of each particle causing a count event must be taken into account ; however individual pulses from a G-M tube do not carry any energy information.
If measurements are taken once per second, standard deviations in the readings is in the 0. 01 nT to 0. 1 nT range, and variations of about 0. 1 nT can be detected.
If an accurate estimate of the field at some other place and time is needed, the measurements must be converted to a model and the model used to make predictions.
If we have a series of n measurements of X and Y written as x < sub > i </ sub > and y < sub > i </ sub > where i
If x and y are results of measurements that contain measurement error, the realistic limits on the correlation coefficient are not − 1 to + 1 but a smaller range.
Prior to any measurements being made, the polarizations of the photons are indeterminate ; If a measurement is made on one of the photons using a two-channel polarizer aligned with the axes of the coordinate system, the photon assumes either horizontal or vertical polarization, with 50 % probability for each orientation, and the other two photons immediately assume the identical polarization.
If the underlying generating models are linear then a minimum-variance Kalman filter and a minimum-variance smoother may be used to recover data of interest from noisy measurements.
If we treat mass and distance as relative measurements and use the day as the unit of time then the units for k are radians per day.
There are eight measurements ( and an additional four filler items ), with four positively (" In uncertain times, I usually expect the best ") and four negatively (" If something can go wrong for me, it will ") worded items.
If making measurements was hard enough, the development of a reasonable classification was at least as difficult.
If a reaction cannot be demonstrated in a microscopic sense, then the biological macroscopic measurements will always be questioned.

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