User hyperpallium

8

34

votes

13

answers

5k

views

A way to directly see that the interior angles of triangle sum to $180^\circ$?

geometry visualization

Jul 18 at 18:39 Michael Hoppe 10.7k

3

votes

1

answer

59

views

Are there other self-similar functions like $e^x$ and $\cos x$? [duplicate]

Sep 16 at 9:56 hyperpallium 442

2

votes

2

answers

79

views

prove $x+y=a, xy=b$ uniquely determine $x,y$

algebra-precalculus proof-verification proof-writing

Aug 13 at 8:42 hyperpallium 442

2

votes

1

answer

84

views

Is there a term analogous to factoring, for addition?

soft-question terminology arithmetic

Jun 14 at 7:14 J.-E. Pin 18.3k

2

votes

2

answers

162

views

Seeing why horizontal shifts are reversed?

algebra-precalculus graphing-functions

Jun 11 at 11:01 Joe Webster 141

1

2

votes

1

answer

77

views

Fundamental Theorem of Algebra proof, for max real roots of real polynomials - using only high school algebra-precalc?

algebra-precalculus polynomials roots

May 14 at 14:18 hyperpallium 442

2

votes

2

answers

284

views

$f(a) = 0 \implies (x-a) \mid f(x)$? (polynomial zeros imply factors)

algebra-precalculus polynomials

May 10 at 7:52 hyperpallium 442

2

votes

2

answers

321

views

A way to directly see the Inscribed angle theorem? (i.e. central angle is twice the inscribed angle)

geometry visualization

May 8 at 8:10 hyperpallium 442

2

votes

5

answers

202

views

Why does subtraction work over positives and negatives (in $\mathbb{Z}$)?

arithmetic integers

Feb 20 at 6:24 hyperpallium 442

2

votes

3

answers

91

views

When can one apply limit properties?

calculus limits

Dec 6 '17 at 13:42 Paramanand Singh 48.7k

1

vote

1

answer

36

views

Does “standard polynomial form” define an ordering of terms of equal order e.g. $xy^2 + x^2y$

algebra-precalculus polynomials terminology

Jul 30 at 5:20 hyperpallium 442

1

vote

2

answers

65

views

Why doesn't $\sqrt{ab}=\sqrt{a}\sqrt{b}$ work for $a,b<0$? [duplicate]

algebra-precalculus complex-numbers radicals

Jul 3 at 7:22 J.G. 21.3k

2

1

vote

2

answers

271

views

How to generalize the mechanism of subtraction, from naturals to negatives? [closed]

algebra-precalculus reference-request foundations

Feb 17 at 3:48 hyperpallium 442

1

vote

1

answer

57

views

For a group [Z,+] with unlabelled integers, what's an algorithm to determine the positive and negative subsets?

group-theory abelian-groups integers

Feb 4 at 14:35 Will Orrick 13.4k

0

votes

0

answers

29

views

Asymptotic error of forward Euler

convergence numerical-methods taylor-expansion finite-differences

Nov 20 at 9:16 hyperpallium 442

0

votes

0

answers

56

views

If two polynomials over integers are equivalent, are the same polynomial expressions defined over positive integers also equivalent?

proof-verification polynomials

Jun 7 at 5:24 hyperpallium 442

0

votes

3

answers

107

views

Visual proof of isosceles base-angle congruency?

geometry triangle alternative-proof visualization

May 21 at 9:28 hyperpallium 442

0

votes

0

answers

46

views

Are Naturals a semiring, Integers a ring, and Rationals a field?

abstract-algebra terminology

May 19 at 3:54 hyperpallium 442

0

votes

1

answer

61

views

Polynomial Remainder Theorem seems to use divide by zero

algebra-precalculus polynomials

May 6 at 10:46 mzg147 301

0

votes

1

answer

18

views

Simple description/name for 0/1 in second position in binary? (analogous to even/odd for 0/1 in first position)

complex-numbers binary

May 3 at 7:28 hyperpallium 442

0

votes

1

answer

96

views

A more direct way to see that the angle inscribed in a semicircle is $90^\circ$?

geometry visualization

Apr 24 at 6:41 hyperpallium 442

0

votes

2

answers

52

views

Understanding the law of cosines, directly from the formula

trigonometry

Mar 22 at 5:42 hyperpallium 442

0

votes

0

answers

32

views

Is there a problem with canonical forms for ratios?

ratio

Feb 16 at 4:39 hyperpallium 442

-1

votes

3

answers

67

views

Can we factor multivariate polynomial $x+xy+y$?

polynomials factoring multivariate-polynomial

Aug 23 at 13:06 quasi 35.9k

1

-2

votes

1

answer

64

views

Are there number systems that fix divide-by-zero? [duplicate]

algebra-precalculus foundations

Oct 18 at 11:23 hyperpallium 442

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25 Questions

A way to directly see that the interior angles of triangle sum to $180^\circ$?

Are there other self-similar functions like $e^x$ and $\cos x$? [duplicate]

prove $x+y=a, xy=b$ uniquely determine $x,y$

Is there a term analogous to factoring, for addition?

Seeing why horizontal shifts are reversed?

Fundamental Theorem of Algebra proof, for max real roots of real polynomials - using only high school algebra-precalc?

$f(a) = 0 \implies (x-a) \mid f(x)$? (polynomial zeros imply factors)

A way to directly see the Inscribed angle theorem? (i.e. central angle is twice the inscribed angle)

Why does subtraction work over positives and negatives (in $\mathbb{Z}$)?

When can one apply limit properties?

Does “standard polynomial form” define an ordering of terms of equal order e.g. $xy^2 + x^2y$

Why doesn't $\sqrt{ab}=\sqrt{a}\sqrt{b}$ work for $a,b<0$? [duplicate]

How to generalize the mechanism of subtraction, from naturals to negatives? [closed]

For a group [Z,+] with unlabelled integers, what's an algorithm to determine the positive and negative subsets?

Asymptotic error of forward Euler

If two polynomials over integers are equivalent, are the same polynomial expressions defined over positive integers also equivalent?

Visual proof of isosceles base-angle congruency?

Are Naturals a semiring, Integers a ring, and Rationals a field?

Polynomial Remainder Theorem seems to use divide by zero

Simple description/name for 0/1 in second position in binary? (analogous to even/odd for 0/1 in first position)

A more direct way to see that the angle inscribed in a semicircle is $90^\circ$?

Understanding the law of cosines, directly from the formula

Is there a problem with canonical forms for ratios?

Can we factor multivariate polynomial $x+xy+y$?

Are there number systems that fix divide-by-zero? [duplicate]