Its value lies not in furnishing solutions (which can be achieved only in action) but in defining difficulties and suggesting methods for dealing with them.
Most objectionable of all is the probability that others, the book or the teacher, will supply solutions ready-made, instead of giving material that the student has to adapt and apply to the question in hand for himself.
We are not directly concerned with their truth; but the fact that such desperate solutions were widely accepted is evidence of the extent to which mind had been set over the world of realities.
The saccharometer is correct forsolutions containing sugar alone but it is only approximately correct for mash liquor which contains a variety of other matters in variable quantities.
This deposit consists of yeast which is capable of exciting the vinous fermentation in other solutions of sugar.
The "pitching" temperature of a molasses wash varies with the concentration of the wash, being higher for strongly concentrated solutionsthan for weak ones.
To begin with, the curves of the solutions show that a proper change in the errors of observation would quite alter the minimum point for either the different mean distances or the mean longitudes.
If we go by residuals alone, we should choose those solutions which have their mean longitudes at the epoch in the neighborhood of 0°, since the residuals are there the smallest.
In the next place the solutions themselves tell us of alternatives between which they leave us in doubt to decide.
There is nothing surprising in the absorption of such extremely dilute solutions by a gland.
As regards harmonistic difficulties of the Old and New Testaments, he assumes the same confident tone of bold assertion without feeling any obligation to notice the solutions that have been suggested.
The silicates and aluminates of which Portland cement is composed are believed to exist not as individual units but as solid solutions of each other, these solid solutions taking the form of minerals recognizable as individuals.
Cements such as marine glue are solutions of shellac, india-rubber or asphaltum in benzene or naphtha.
Conversely, if a relation of this nature holds, then points corresponding to solutions in x, x' form homographic ranges.
The solutions of most of the other problems contain also theorems.
The solutions all depend upon properties of isosceles triangles.
To the geologist the presence of mineral solutions in sea-water is a fact of much importance, for it explains the origin of a considerable part of the stratified rocks of the earth's crust.
We get then the following solutions of the two problems: Solution.
The next three propositions contain problems which may be said to be solutions of quadratic equations.
Notes on, with Solutionsof the more difficult Questions.
Neither of these ammonia solutions have any appreciable action on steel when not exposed to the air, but If allowed to evaporate on steel they attack it rapidly.
These ammonia solutions are expensive and should be used economically.
Like Luther and Loyola and Kant, they may be able to satisfy themselves, or, like Huxley, they may remain in doubt, but in either case they are excellent critics of the solutions of others.
Two great rivalsolutions to this fundamental problem are Materialism and Idealism.
As John Morley, in his Essay on Voltaire wrote of such a person: "There are new solutions for him, if the old have fallen dumb.
The continual search after solutions of problems that may be insoluble at least makes the seekers excellent judges of wrong solutions.
We have received other solutions of this problem, but as this covers the ground in a very simple manner, we think it will be sufficient.
Those forwarding the solutions not published will accept our thanks and assurances that it is not because they lack merit that they are declined.
None of the solutions of the riddle thus far advanced seems satisfactory to us[186].
As a rule, these solutions are based on the philological analysis of the names in the story.
But there are necessarily breaks and solutions of continuity in the path of progress.
To end our examination of the Myth of Cronus, we may compare the solutions offered by scholars.
An orange-red colour may be obtained by the successive action of bichloride of mercury and iodide of potash, madder, and ammoniacal solutions of carmine.
Equal portions of the bichromate and carbonate solutions (see page 4), used upon American pine, will have a very good effect.
A lighter blue can be obtained by hot solutions of indigo, of sulphate of copper, and by the successive introduction of pyrolignite of iron and prussiate of potash.
The carbonate solutions are generally used for dark surfaces, such as rosewood represents, and a still darker shade can be given to any one by oiling over after the stain is dry.
These solutions in blending penetrate the wood and give it an indelible tinge, and also prevent insects from attacking it.
A yellow colour can also be given to wood by boiling hot solutions of turmeric, Persian berries, fustic, etc.
The sense of taste is sensitive only to solutions that are sweet, sour, salt, or bitter.
And the thoughtful reader will earnestly ask, "Are oursolutions of these problems any better than theirs?
Meantime, on the Continent, very largely through the brilliant solutions of some of the higher problems, accomplished by the Bernouillis, the Calculus of Leibnitz was universally accepted, and improved by many mathematicians.
This organism grows in broth, diluted milk, and other solutions without producing turbidity.
It develops freely in solutions to which no organic matter has been added; indeed, much organic matter will prevent its growing.
Winogradsky prepared vessels and solutions carefully purified from organic matter, and these solutions he sowed with the nitrifying organism, and found that they flourished.
As we have already seen, the most astonishing property of this organism is its ability to grow and perform its specific function in solutions absolutely devoid of organic matter.
According to Hansen, these latter, so far as they are really alcoholic ferments, induce fermentation, not only in solutions of dextrose and invert sugar, but also in solutions of maltose.
But the experiments of Behring, Crookshank, and others have proved that the weaker solutions cannot be relied upon.
Dilute solutions have the further disadvantage of being unstable.
Various authorities recommend a solution of 1-500 as a germicide, and much weaker solutions are, of course, antiseptic.
Several solutions have been proposed, among which is the one we shall call the third system.
They have, of course, made lots of very general statements, which do not stand the test of accurate criticism, but they have utterly failed to offer solutions of the grave difficulties that they know would confront them.
For this purpose, solutions of stimulating and astringent substances, termed collyria, and various ointments, are employed.
These solutions and infusions are injected by means of either a small syringe, or an elastic bottle fitted with an ivory tube, the point being smooth and rounded.
Solutions of continuity in the cranium, caused by external force, are either attended with depression or not.
The external means are to be chiefly trusted to, consisting of astringent and stimulating washes; when the vagina is affected, the solutions must be thrown up by means of a syringe.
By those who admit this (and as will appear later, there are some who do not) three solutions have been advocated, none of which is unattended with difficulties.
The following Competitors were credited in our Register with Solutions to Puzzle No.
Solutions to Puzzles must be accompanied by certificates from a Parent, Teacher, or other responsible person, stating that they are the sole and unaided work of the competitor.
Salviati is the principal philosopher of the work; it is to him that the others apply for solutions of their doubts and difficulties, and on him the principal task falls of explaining the tenets of the Copernican theory.
For this reason avoid such solutions so far as possible.
Undesirable flavors may be removed by using solutions of potash or soda lye.
The questionings to which it has given rise have proved no less fruitful than the solutions it has suggested.
All plants exhibit a definite alteration in form as the result of prolonged cultivation in moist or dry air, in strong or feeble light, or in darkness, or in salt solutions of different composition and strength.
It is known that in solutions like sea-water the degree of alkalinity must increase when the amount of carbon-dioxide in the atmosphere is diminished.
Dr Bastian insists that the organic solutions in his own flasks are not found by him to undergo putrefaction where every precaution is taken for withholding the entrance of air.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "solutions" in a variety of sentences. We hope that you will now be able to make sentences using this word.
