Discover the most popular and inspiring quotes and sayings on the topic of Extrapolation. Share them with your friends on social media platforms like Facebook, Twitter, or your personal blogs, and let the world be inspired by their powerful messages. Here are the Top 100 Extrapolation Quotes And Sayings by 95 Authors including James C. Maxwell,Yevgeny Zamyatin,The Jam,Ben Horowitz,James Gleick for you to enjoy and share.
In a few years, all great physical constants will have been approximately estimated, and that the only occupation which will be left to men of science will be to carry these measurements to another place of decimals.
There is an excellent way to make predictions without the slightest risk of error: predict the past.
Away from the numbers
I don't believe in statistics. I believe in calculus.
Given an approximate knowledge of a system's initial conditions and an understanding of natural law, one can calculate the approximate behavior of the system.
There is no more common error than to assume that, because prolonged and accurate mathematical calculations have been made, the application of the result to some fact of nature is absolutely certain.
Further up and further in-- C.s. Lewis
Here we begin frank speculation. And since we are speculating, we'll use those powerful pseudo-laws, the Principles of Mediocrity and Minimal Assumption.
complexity. Assuming
My God, how badly one calculates in this world! ... Let us leave off calculating on anything but death
it is the only certainty.
You know that you can't predict and you can't expect that you should have predicted. You do the best you can, as decently as you can, and you accept the consequences.
How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools and simpler methods which, at the same time, assist in understanding earlier theories and in casting aside some more complicated developments.
Expansion (both far and wide) is the order of the day
One cannot escape the feeling that these mathematical formulas have an independent existence and an intelligence of their own, that they are wiser than we are, wiser even than their discoverers ...
In 21 projects studied that same year, estimates were prepared by a third party, typically a systems analyst. The developers in these cases substantially outperformed the projects in which estimating was done by a programmer and/or a supervisor
Expansion means complexity and complexity decay.
That's calculus in a nutshell. It takes a problem that can't be done with regular math because things are constantly changing - the changing quantities show up on a graph as curves - it zooms in on the curve till it becomes straight, and then it finishes off the problem with regular math.
In the hands of Science and indomitable energy, results the most gigantic and absorbing may be wrought out by skilful combinations of acknowledged data and the simplest means.
One does not divine this by impressions or knowledge. What this means is that no matter how much you try to figure or calculate by means of impressions or knowledge, it will not prove the least bit useful. Therefore, separate yourself from the discrimination of figuring things out.
Most important part of doing physics is the knowledge of approximation.
Prediction is difficult, especially the future.
It is the mark of an educated mind to rest satisfied with the degree of precision which the nature of the subject admits and not to seek exactness where only an approximation is possible.
There are and will be those who think I have gone overboard. Let them rest assured that this assessment is correct, probably beyond their wildest imagination, and that I will continue to do so.
It seems to be expected of every pilgrim up the slopes of the mathematical Parnassus, that he will at some point or other of his journey sit down and invent a definite integral or two towards the increase of the common stock.
Alternatives! Probabilities!
The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient.
Precise forecasts masquerade as accurate ones.
Mathematicians come to the solution of a problem by the simple arrangement of the data, and reducing the reasoning to such simple operations, to judgments so brief, that they never lose sight of the evidence that serves as their guide.
Nothing comforted Sabine like long division. That was how she had passed time waiting for Phan and then Parsifal to come back from their tests. She figured the square root of the date while other people knit and read. Sabine blamed much of the world's unhappiness on the advent of calculators.
Mathematicians tend to prefer a worst-case analysis, a kind of paranoia that is especially understandable if you live in Israel!
A potentially useful property of forecasts based on cointegration is that when extended some way ahead, the forecasts of the two series will form a constant ratio, as is expected by some asymptotic economic theory.
The amount of time that a young girl spends wearing pink will be inversely proportional to her future income.
Infinity minus one," chattered the computer. "Improbability sum now complete.
If you make the same guess often enough it ceases to be a guess and becomes a Scientific Fact. This is the inductive method.
He had a penis one inch in diameter and seven and a half inches long. During the past year, he had averaged twenty-two orgasms per month. This was far above the national average. His income and the value of his life insurance policies at maturity were also far above average.
The ability of extension lies in responsibility
Math never disappoints.
I never try to make any far-reaching predictions, so much can happen that it simply only makes you look stupid a few years later.
Analytical tools have their limitations in a turbulent world. These tools work best when parameters are known, assumptions are minimal, and the future is not fuzzy.
Extend beyond your preconceived limits!
Everyday take one optimistic calculated risk to find out how far you can go.
Given certain known factors in an equation and the equation comprising a situation of absolute need - any form of need - you can predict the results. Leave a sick junkie in the back room of a drugstore and only one result is possible.
This is what analysts have calculated. It's a number that's out there and we're not arguing with it.
I believe in analysis and not forecasting.
The only thing that can be predicted is the probability of different events.
The manipulation of statistical formulas is no substitute for knowing what one is doing.
All the exaggerations are right, if they exaggerate the right thing.
What's Julie's number?"
Curran glanced at me.
"Julie's fluctuating between thirty-two and thirty-four units. Her shift coefficient is six point five and she's been at it for sixteen hours."
Dear God, I'd need a damn calculator.
The probabilitation of possibilities is the mother of many unrealistic ideas,uninformative decisions,inappropriate measures and unfair actions because most of the times we were approximate where we needth to be exact.
Progess, do not regress.
All I know is that I am excessively calculating, especially when I appear not to be.
Buy not on optimism, but on arithmetic.
Looking back to data, we can see if the consequences are plausible; looking forward to theory, we can see if general principles are suggested.
Other, more technically adroit people would soon generate closer approximations of reality. What mattered was (a) it was a rational, testable hypothesis; and (b) James made it so clear and interesting that it provoked a lot of intelligent people to join the conversation. "The
You look at these past predictions like there's only a market in the world for five computers [as allegedly said by IBM founder Thomas Watson] and you realize it's not a good idea to predict too far into the future.
Be precise. A lack of precision is dangerous when the margin of error is small.
See the value of imagination. It is the one quality which Inspector Gregory lacks. We imagined what might have happened, acted upon the supposition, and find ourselves justified. Let us proceed.
One of the soundest rules to remember when making forecasts in the field of economics is that whatever is to happen is happening already.
Go ahead and under estimate me some more. I dare you.
A new, a vast, and a powerful language is developed for the future use of analysis, in which to wield its truths so that these may become of more speedy and accurate practical application for the purposes of mankind than the means hitherto in our possession have rendered possible.
Set realistic terms for its implementation
Adjustment of constants to make everything fit - that I couldn't be sure it was very useful. I wanted a rather deeper understanding
You can only predict things after they have happened.
A peculiarity of the higher arithmetic is the great difficulty which has often been experienced in proving simple general theorems which had been suggested quite naturally by numerical evidence.
Another book gives the illusion of scientific precision by working out this reasoning in a mathematical formula using a "Mental Performance Ratio (MPR),
People calculate too much and think too little.
For future reference: do not underestimate the seductive power of math.
Every day I make predictions that don't come anywhere close to the mark.
result,1 the first focuses on
It is strange that we know so little about the properties of numbers. They are our handiwork, yet they baffle us; we can fathom only a few of their intricacies. Having defined their attributes and prescribed their behavior, we are hard pressed to perceive the implications of our formulas.
If you enjoy math and you write novels, it's very rare that you'll get a chance to put your math into a novel. I leapt at the chance.
The usefulness of the models in constructing a testable theory of the process is severely limited by the quickly increasing number of parameters which must be estimated in order to compare the predictions of the models with empirical results.
To the extent that you can find ways where you're making predictions, there's no substitute for testing yourself on real-world situations that you don't know the answer to in advance.
The inability to predict outliers implies the inability to predict the course of history
Experimental science hardly ever affords us more than approximations to the truth; and whenever many agents are concerned we are in great danger of being mistaken.
The affairs of this world are so shifting and depend on so many accidents, that it is hard to form any judgment concerning the future; nay, we see from experience that the forecasts even of the wise almost always turn out false.
In the margin for error lies all our room for maneuver.
Computers are very powerful tools, but in the simulated world of the computer, everything has to be calculated.
I accidentally brought my graphing calculator camping.
A new branch of mathematics was developed over the last 200 years to deal with the more complex aspects of reality: statistics.
Let observation with extended observation observe extensively.
That's really specific, ma'am. For a prediction, I mean."
"It's not a prediction."
"It's not? Then what is it?"
"It's what is.
The considerations upon which expectations of prospective yields are based are partly existing facts which we can assume to be known more or less for certain, and partly future events which can only be forecasted with more or less confidence.
With barefaced questions, ingenious suppositions, and distant surmises
Making predictions is tough. Especially for the future.
In a world in which the price of calculation continues to decrease rapidly, but the price of theorem proving continues to hold steady or increase, elementary economics indicates that we ought to spend a larger and larger fraction of our time on calculation.
No person will deny that the highest degree of attainable accuracy is an object to be desired, and it is generally found that the last advances towards precision require a greater devotion of time, labour, and expense, than those which precede them.
Make three correct guesses consecutively and you will establish a reputation as an expert.
Regression toward the mean. That is, in any series of random events an extraordinary event is most likely to be followed, due purely to chance, by a more ordinary one.
Where I fail in accuracy, I hope I make up for it in plausibility.
Failure to converge. Confidence limits exceeded.
Further predictions unreliable.
The prediction of the future is not distinguished from an evaluation of current evidence - prediction matches evaluation. This is perhaps the best evidence we have for the role of substitution.
Science asymptotically approaches reality.
In the beginning of the year 1665, I found the method of approximating series and the rule for reducing any dignity of any binomial into such a series.
Sometimes guessing is the best you can do. In the real world, we guess all the time and it serves us well.
I'm not interested in overexpanding rapidly for expansion's sake.
Physics tells us observations can't be predicted absolutely. Rather, there's a range of possible observations each with a different probability.
The art of drawing conclusions from experiments and observations consists in evaluating probabilities and in estimating whether they are sufficiently great or numerous enough to constitute proofs. This kind of calculation is more complicated and more difficult than it is commonly thought to be ...
Computer modelling for weather forecasting, and indeed for climate forecasting, has reached its limits.
Stop trying to predict ...