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Updated: May 13, 2025
If we symbolize such a term as sing by the algebraic formula A, we shall have to symbolize such terms as sings and singer by the formula A + b. We may term it a "grammatical element" or affix. As we shall see later on, the grammatical element or the grammatical increment, as we had better put it, need not be suffixed to the radical element.
Wrapped in a rich dressing-gown, a fanciful present from an admiring Marchesa, curiously embroidered with algebraic figures like a conjuror's robe, and with a skull-cap of black satin on his hive of a head, the man of gravity was seated at a huge claw-footed old table, round as the zodiac.
Seventy years of toiling and moiling and effort and sweat, and it has all come to nothing; like a long algebraic sum that covers pages of intricate calculations, and the pluses and minuses just balance each other; and the net result is a great round nought. So let us remember the twofold process, and let it stir us to make sure that 'in our embers' shall be 'something that doth live, and that not 'Nature, but something better God 'remembers what was so fugitive. It is not fugitive if it is a part of the mighty whole.
Everything is based on the focal plan, and on the rotation of the octagon drum, formed of eight wide simple lenses in range, having above and below it two series of dioptric rings; an algebraic gear, secured from the effects of the beating of winds and waves by glass a millimetre thick , yet sometimes broken by the sea-eagles, which dash themselves like great moths against these gigantic lanterns.
They might, however, be "notions" like that of "spirit," which Berkeley ingenuously admitted into his system, to be, mysteriously enough, that which has ideas. This is, indeed, what they are, if we take the word algebraic in a loose enough sense.
They stand for specific satisfactions, or else they stand for nothing at all. In fact, the whole machinery of our intelligence, our general ideas and laws, fixed and external objects, principles, persons, and gods, are so many symbolic, algebraic expressions. They stand for experience; experience which we are incapable of retaining and surveying in its multitudinous immediacy.
For two questions very different from Mr Morris's kept on appealing to him, neither of them algebraic or dealing with Euclid. One was, "How came that letter to be blotted on my pad?" and, "Who was it that wrote it?"
From these data it is evident that in order to deposit copper from a normal solution of copper sulphate a minimum potential equal to the algebraic sum of the deposition-potentials of copper ions and sulphate ions must be applied, that is, +1.56 volts.
Moreover, he offered to prove his proposition by algebraic equation, if one of the gentlemen present had chalk and blackboard on his person. Once Kant was looking at the flowers in a beautiful garden. But instead of looking through the iron pickets, he stooped over and was squinting through the key-hole of the lock.
And still another is the well-known instance of the change in polarization predicted by Fresnel from the mere interpretation of an algebraic symbol. This prophetic insight is very sublime, and opens up new spaces in man. Of the discoveries of Kepler, we can here have to do with their universal and humanitary bearings alone.
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