Vector Quotes (6 quotes)

As to the need of improvement there can be no question whilst the reign of Euclid continues. My own idea of a useful course is to begin with arithmetic, and then not Euclid but algebra. Next, not Euclid, but practical geometry, solid as well as plane; not demonstration, but to make acquaintance. Then not Euclid, but elementary vectors, conjoined with algebra, and applied to geometry. Addition first; then the scalar product. Elementary calculus should go on simultaneously, and come into vector algebraic geometry after a bit. Euclid might be an extra course for learned men, like Homer. But Euclid for children is barbarous.

Force, then, is Force, but mark you! Not a thing,

Only a Vector;

Thy barbθd arrows now have lost their sting,

Impotent spectre!

Thy reign, O force! is over. Now no more

Heed we thine action;

Repulsion leaves us where we were before,

So does attraction.

Both Action and Reaction now are gone.

Just ere they vanished,

Stress joined their hands in peace, and made them one;

Then they were banished....

Only a Vector;

Thy barbθd arrows now have lost their sting,

Impotent spectre!

Thy reign, O force! is over. Now no more

Heed we thine action;

Repulsion leaves us where we were before,

So does attraction.

Both Action and Reaction now are gone.

Just ere they vanished,

Stress joined their hands in peace, and made them one;

Then they were banished....

Our Professor, which doth have tenure,

Feared be thy name.

Thy sets partition,

Thy maps commute,

In groups as in vector spaces.

Give us this day our daily notation,

And forgive us our obtuseness,

As we forgive tutors who cannot help us.

Lead us not into Lye rings,

But deliver us from eigenvalues,

For thine is the logic, the notation, and the accent,

That confuses us forever.

Amen.

Feared be thy name.

Thy sets partition,

Thy maps commute,

In groups as in vector spaces.

Give us this day our daily notation,

And forgive us our obtuseness,

As we forgive tutors who cannot help us.

Lead us not into Lye rings,

But deliver us from eigenvalues,

For thine is the logic, the notation, and the accent,

That confuses us forever.

Amen.

This maze of symbols, electric and magnetic potential, vector potential, electric force, current, displacement, magnetic force, and induction, have been practically reduced to two, electric and magnetic force.

Thus one becomes entangled in contradictions if one speaks of the probable position of the electron without considering the experiment used to determine it ... It must also be emphasized that the statistical character of the relation depends on the fact that the influence of the measuring device is treated in a different manner than the interaction of the various parts of the system on one another. This last interaction also causes changes in the direction of the vector representing the system in the Hilbert space, but these are completely determined. If one were to treat the measuring device as a part of the system—which would necessitate an extension of the Hilbert space—then the changes considered above as indeterminate would appear determinate. But no use could be made of this determinateness unless our observation of the measuring device were free of indeterminateness. For these observations, however, the same considerations are valid as those given above, and we should be forced, for example, to include our own eyes as part of the system, and so on. The chain of cause and effect could be quantitatively verified only if the whole universe were considered as a single system—but then physics has vanished, and only a mathematical scheme remains. The partition of the world into observing and observed system prevents a sharp formulation of the law of cause and effect. (The observing system need not always be a human being; it may also be an inanimate apparatus, such as a photographic plate.)

What if angry vectors veer

Round your sleeping head, and form.

Theres never need to fear

Violence of the poor worlds abstract storm.

Round your sleeping head, and form.

Theres never need to fear

Violence of the poor worlds abstract storm.