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Leonhard Euler Quotes

Madam, I have come from a country where people are hanged if they talk Picture Quote #1

Now I will have less distraction Picture Quote #1

Logic is the foundation of the certainty of all the knowledge we acquire Picture Quote #1

For the sake of brevity, we will always represent this number 2.718281828459... by the letter e Picture Quote #1

For the sake of brevity, we will always represent this number 2. 718281828459... By the letter e Picture Quote #1

Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate Picture Quote #1

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To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be Picture Quote #1

Although to penetrate into the intimate mysteries of nature and thence to learn the true causes of phenomena is not allowed to us, nevertheless it can happen that a certain fictive hypothesis may suffice for explaining many phenomena Picture Quote #1

If a nonnegative quantity was so small that it is smaller than any given one, then it certainly could not be anything but zero. To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be. These supposed mysteries have rendered the calculus of the infinitely small quite suspect to many people. Those doubts that remain we shall thoroughly remove in the following pages, where we shall explain this calculus Picture Quote #1

Nothing takes place in the world whose meaning is not that of some maximum or minimum Picture Quote #1

After exponential quantities the circular functions, sine and cosine, should be considered because they arise when imaginary quantities are involved in the exponential Picture Quote #1

The kind of knowledge which is supported only by observations and is not yet proved must be carefully distinguished from the truth; it is gained by induction, as we usually say. Yet we have seen cases in which mere induction led to error. Therefore, we should take great care not to accept as true such properties of the numbers which we have discovered by observation and which are supported by induction alone. Indeed, we should use such a discovery as an opportunity to investigate more exactly the properties discovered and to prove or disprove them; in both cases we may learn something useful Picture Quote #1

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A function of a variable quantity is an analytic expression composed in any way whatsoever of the variable quantity and numbers or constant quantities Picture Quote #1

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Madam, I have come from a country where people are hanged if they talk (Leonhard Euler Quotes) Now I will have less distraction (Leonhard Euler Quotes) Logic is the foundation of the certainty of all the knowledge we acquire (Leonhard Euler Quotes) For the sake of brevity, we will always represent this number 2.718281828459... by the letter e (Leonhard Euler Quotes) For the sake of brevity, we will always represent this number 2. 718281828459... By the letter e (Leonhard Euler Quotes) Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate (Leonhard Euler Quotes) To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be (Leonhard Euler Quotes) Although to penetrate into the intimate mysteries of nature and thence to learn the true causes of phenomena is not allowed to us, nevertheless it can happen that a certain fictive hypothesis may suffice for explaining many phenomena (Leonhard Euler Quotes) If a nonnegative quantity was so small that it is smaller than any given one, then it certainly could not be anything but zero. To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be. These supposed mysteries have rendered the calculus of the infinitely small quite suspect to many people. Those doubts that remain we shall thoroughly remove in the following pages, where we shall explain this calculus (Leonhard Euler Quotes) Nothing takes place in the world whose meaning is not that of some maximum or minimum (Leonhard Euler Quotes) After exponential quantities the circular functions, sine and cosine, should be considered because they arise when imaginary quantities are involved in the exponential (Leonhard Euler Quotes) The kind of knowledge which is supported only by observations and is not yet proved must be carefully distinguished from the truth; it is gained by induction, as we usually say. Yet we have seen cases in which mere induction led to error. Therefore, we should take great care not to accept as true such properties of the numbers which we have discovered by observation and which are supported by induction alone. Indeed, we should use such a discovery as an opportunity to investigate more exactly the properties discovered and to prove or disprove them; in both cases we may learn something useful (Leonhard Euler Quotes) A function of a variable quantity is an analytic expression composed in any way whatsoever of the variable quantity and numbers or constant quantities (Leonhard Euler Quotes)