Analysis Quote by Kenneth E. Iverson

It is important to distinguish the difficulty of describing and learning a piece of notation from the difficulty of mastering its implications. [...] Indeed,…

— Kenneth E. Iverson

It is worth noting that the notation facilitates discovery. This, in a most wonderful way, reduces the mind's labour.

— Gottfried Leibniz

The utility of a language as a tool of thought increases with the range of topics it can treat, but decreases with the amount…

— Kenneth E. Iverson

“As long as we are engaged in this orgy of unnecessary terminology and notation…”

— David J. Griffiths

The properties of executability and universality associated with programming languages can be combined, in a single language, with the well-known properties of mathematical notation…

— Kenneth E. Iverson

By relieving the brain of all unnecessary work, a good notation sets it free to concentrate on more advanced problems, and in effect increases…

— Alfred North Whitehead

"The most powerful single idea in mathematics is the notion of a variable."

— Alexander Dewdney

Such is the advantage of a well constructed language that its simplified notation often becomes the source of profound theories.

— Pierre-Simon Laplace

Secondly, figures, the symbols of numerical magnitude, are frequently also the symbols of operations, as when they are the indices of powers. Wherever terms…

— Ada Lovelace

The process of putting intangible thoughts into an imperfect system of notation - which is difficult enough, depending on your ideas - acquaints you…

— Marc-Andre Hamelin

Generalization is necessary to the advancement of knowledge; but particularity is indispensable to the creations of the imagination.

— Thomas B. Macaulay

With the computer and programming languages, mathematics has newly-acquired tools, and its notation should be reviewed in the light of them. The computer may,…

— Kenneth E. Iverson