We collected `` lucky stones '' -- all the creamy translucent pebbles, worn smooth and round, that we could find in the driveway.

We need not, to be sure, expect to find such ideas in every piece of literature.

We find, in the first place, that the students overwhelmingly approve of higher education, positively evaluate the job their own institution is doing, do not accept most of the criticisms levelled against higher education in the public prints, and, on the whole, approve of the way their university deals with value-problems and value inculcation.

We find `` reluctant recruits '' whose values are not in line with their expected occupation's characteristics.

We should hope that peace corps projects will be truly international and that our citizens will find themselves working alongside citizens of the host country and also volunteers from other lands.

We could scarcely find eighty in our great land of over 180 million people.

We find too many sales and marketing executives so burdened with detail that they are short-changing planning.

`` We have tried to make both paths attractive, so that good men could find opportunity and satisfaction in either.

We shall find a polynomial Af such that Af is the identity on Af and is zero on the other Af, and so that Af, etc..

We shall find a formula for the probability of exactly X successes for given values of P and N.

We find it in Plato's Republic, and in Utopia More acknowledges his debt to that book.

We find it in that `` common way of life pleasing to Christ and still in use among the truest societies of Christians '', that is, the better monasteries which made it easier to convert the Utopians to Christianity.

We find it in the later Stoic conception of man's natural condition which included the community of all possessions.

`` We want to find out who knew about it '', Pratt said.

We simply find ourselves in the position of having no means for inquiring into the structure and meaning of this range of our experience.

We find, for example, such groupings as the Five Ancient Rulers, the Five Sacred Mountains, the Five Directions ( with Center ), the Five Metals, Five Colors, Five Tastes, Five Odors, Five Musical Notes, Five Bodily Functions, Five Viscera, and many others.

We find Elizabeth not in the verbal domain, the world of words, but the nonverbal domain ( the two, he said, amount to different orders of abstraction ).

We find Cretan vessels exported to Melos, Egypt and the Greek mainland.

Patterson claimed to have screened the film for unnamed technicians " in the special effects department at Universal Studios in Hollywood ... Their conclusion was: ' We could try ( faking it ), but we would have to create a completely new system of artificial muscles and find an actor who could be trained to walk like that.

We was just tryin ' to find enough tunes to keep ' em dancin ' to not have to repeat so much.

We just sold our farms and set out north-westwards to find a new home.

::" We have no idea how consciousness emerges from the physical activity of the brain and we do not know whether consciousness can emerge from non-biological systems, such as computers ... At this point the reader will expect to find a careful and precise definition of consciousness.

We repeat this procedure to find m < sub > 2 </ sub > > m < sub > 1 </ sub >, etc.

We differentiate to find velocity:

We can find the angle at which a first minimum is obtained in the diffracted light by the following reasoning.

We are told by the biographers of Aratus that it was the desire of Antigonus to have them turned into verse, which gave rise to the Phaenomena of Aratus ; and it appears from the fragments of them preserved by Hipparchus, that Aratus has in fact versified, or closely imitated parts of them both, but especially of the first.

We devote a chapter to the binomial distribution not only because it is a mathematical model for an enormous variety of real life phenomena, but also because it has important properties that recur in many other probability models.

We can call a person, a house, a symphony, a fragrance, and a mathematical proof beautiful.

We will now make the above discussion concrete, using the formalism developed in the article on the mathematical formulation of quantum mechanics.

" We " in this sense often refers to " the reader and the author ," since the author often assumes that the reader knows certain principles or previous theorems for the sake of brevity ( or, if not, the reader is prompted to look them up ), for example, so that the author does not need to explicitly write out every step of a mathematical proof.

We know of at least one " keeper of the books " who was employed to oversee the thousands of tablets on Sumerian and Babylonian materials, including literary texts, history, omens, astronomical calculations, mathematical tables, grammatical and linguistic tables, and dictionaries, and commercial records and laws.

" We " in this sense often refers to " the reader and the author ", since the author often assumes that the reader knows certain principles or previous theorems for the sake of brevity ( or, if not, the reader is prompted to look them up ), for example, so that the author does not need to explicitly write out every step of a mathematical proof.

We will sketch the basic definitions and properties of a number of constructions, however, because each of these is important for both mathematical and historical reasons.

We now prove the formula for the n < sup > th </ sup > derivative of f by mathematical induction.

We can use mathematical formulae, which are typically used in macroeconomics ( in growth accounting ) or arithmetical models, which are typically used in microeconomics and management accounting.

: We proceed by mathematical induction on the number n of elements in X.

Richard Dawkins, in a review of this book, said regarding the discussion of Lacan: " We do not need the mathematical expertise of Sokal and Bricmont to assure us that the author of this stuff is a fake.

" We want the Demon, you see, to extract from the dance of atoms only information that is genuine, like mathematical theorems, fashion magazines, blueprints, historical chronicles, or a recipe for ion crumpets, or how to clean and iron a suit of asbestos, and poetry too, and scientific advice, and almanacs, and calendars, and secret documents, and everything that ever appeared in any newspaper in the Universe, and telephone books of the future …"

We still lack a working mathematical construct that proves a link between sliding filament theory and Frank-Starling.

We can think of algebraic expressions as generalizations of common arithmetic operations that are formed by combining numbers, variables, and mathematical operations.

We have developed a general purpose graph-based ranking algorithm like Page / Lex / TextRank that handles both " centrality " and " diversity " in a unified mathematical framework based on absorbing Markov chain random walks.

We deduce that mathematical understanding-the means whereby mathematicians arrive at their conclusions with respect to mathematical truth-cannot be reduced to blind calculation!

We remind the reader that the mathematical model of a channel used here is same as the classical one.

We will let F denote an arbitrary field such as the real numbers R or the complex numbers C. See also: table of mathematical symbols.

: Proof: We use mathematical induction.