1. 2. 3. 4.
... A recipe for a dry rub requires teaspoon of salt for every pound of meat. How much salt is required for ...
... A recipe for a dry rub requires teaspoon of salt for every pound of meat. How much salt is required for ...
Proof that 2+2=4
... This is a contradiction to Fermat’s Little Theorem, so 2 + 2 must not be prime. But 3 is prime. Hence 2 + 2 must not equal 3, and therefore 2 + 2 ≥ 4. It remains to show that 2 + 2 is not greater than 4. To prove this we need the following lemma: Lemma 1. ∀a ∈ Z, if a > 4, ∃b ∈ Z such that b > 0 and ...
... This is a contradiction to Fermat’s Little Theorem, so 2 + 2 must not be prime. But 3 is prime. Hence 2 + 2 must not equal 3, and therefore 2 + 2 ≥ 4. It remains to show that 2 + 2 is not greater than 4. To prove this we need the following lemma: Lemma 1. ∀a ∈ Z, if a > 4, ∃b ∈ Z such that b > 0 and ...
Real Numbers
... Repeating: He just kept saying stupid things, saying stupid things. The teacher was trying to tell us about math, about math, and Irrational kept saying stuff, saying stuff, like, "I like pie," and "Oops, I did it again" while the teacher was trying to talk, trying to talk. ...
... Repeating: He just kept saying stupid things, saying stupid things. The teacher was trying to tell us about math, about math, and Irrational kept saying stuff, saying stuff, like, "I like pie," and "Oops, I did it again" while the teacher was trying to talk, trying to talk. ...
A and B
... The natural numbers ( )االعداد الطبيعيةN are the numbers 1, 2, 3, ... The whole numbers ( )االعداد الكليةW are 0, 1, 2, 3, … The integers ( )االعداد الصحيحةI are …, -3, -2, -1, 0, 1, 2, 3, … A rational number (النسبية a )االعدادQ is a number that can be expressed as a quotient . The integ ...
... The natural numbers ( )االعداد الطبيعيةN are the numbers 1, 2, 3, ... The whole numbers ( )االعداد الكليةW are 0, 1, 2, 3, … The integers ( )االعداد الصحيحةI are …, -3, -2, -1, 0, 1, 2, 3, … A rational number (النسبية a )االعدادQ is a number that can be expressed as a quotient . The integ ...
On Infinitely Nested Radicals
... all positive signs. We could also explore into what would happen if we allowed the a’s and b’s to be sequences rather than constants. Right off the bat we expect that these sequences will be convergent (or at least not go too either infinity) although it is definitely possible to create a sequence t ...
... all positive signs. We could also explore into what would happen if we allowed the a’s and b’s to be sequences rather than constants. Right off the bat we expect that these sequences will be convergent (or at least not go too either infinity) although it is definitely possible to create a sequence t ...
Notes
... Many books on analysis simply give the axioms, say 9 axioms for a field, 4 for order and one completeness axiom (every non empty set of real numbers which has an upper bound has a least upper bound). We could put these “specifications” into an OCaml module as a start, but it would not tell us how to ...
... Many books on analysis simply give the axioms, say 9 axioms for a field, 4 for order and one completeness axiom (every non empty set of real numbers which has an upper bound has a least upper bound). We could put these “specifications” into an OCaml module as a start, but it would not tell us how to ...
Module 0, Assignment 1
... *Adding two numbers with the same signs: Add the numbers, and keep the sign. *Adding two numbers with different signs: Subtract the numbers (larger minus smaller), and keep the sign of the larger number. *Two numbers that are the same distance from 0 but lie on opposite sides of 0 are called opposit ...
... *Adding two numbers with the same signs: Add the numbers, and keep the sign. *Adding two numbers with different signs: Subtract the numbers (larger minus smaller), and keep the sign of the larger number. *Two numbers that are the same distance from 0 but lie on opposite sides of 0 are called opposit ...
R1 Real Numbers
... When we want to treat a collection of similar but distinct objects as a whole, we use the idea of a set. ...
... When we want to treat a collection of similar but distinct objects as a whole, we use the idea of a set. ...
