Question

Let $z_1,z_2$ be complex numbers with $|z_1|=|z_2|=1$. Prove that $|z_1 + 1| + |z_2 + 1| + |z_1z_2 + 1| \geq 2$

score 275 · Answer 1 · 2026-04-16 05:01:01

275

Views

Let $z_1,z_2$ be complex numbers with $|z_1|=|z_2|=1$. Prove that $|z_1 + 1| + |z_2 + 1| + |z_1z_2 + 1| \geq 2$

Published on 16 Apr 2026 - 5:01

score 147 · Answer 2 · 2026-04-14 08:55:50

147

Views

Prove existence of certain lattice points in an ellipse

Published on 14 Apr 2026 - 8:55

score 136 · Answer 3 · 2026-04-16 06:18:00

136

Views

Is it true that if $A$ and $B$ are nowhere dense subsets of $[0,1]$ then the Minkowski sum $A+B=\{a+b:\ a\in A, b\in B\}$ is nowhere dense in $[0,2]$?

Published on 16 Apr 2026 - 6:18

score 35 · Answer 4 · 2026-04-11 16:55:11

35

Views

Understanding why intersection technique for cubic works for parametrization of curve

Published on 11 Apr 2026 - 16:55

score 125 · Answer 5 · 2026-04-11 06:46:18

125

Views

Method of Solving Non-Linear simultaneous equations

Published on 11 Apr 2026 - 6:46

score 77 · Answer 6 · 2026-04-13 10:57:37

77

Views

Set Theory - I'm new at set theory and this problem I don't know how to start it please help

Published on 13 Apr 2026 - 10:57

score 28 · Answer 7 · 2026-04-13 17:35:26

28

Views

What is the maximum difference in time the pedestrian and the cyclist arrive to Y?

Published on 13 Apr 2026 - 17:35

score 250 · Answer 8 · 2026-04-11 00:05:46

250

Views

Dividing into two groups so no person has more than one enemy in their group

Published on 11 Apr 2026 - 0:05

score 62 · Answer 9 · 2026-04-13 08:26:09

62

Views

Rate of Change Problem

Published on 13 Apr 2026 - 8:26

score 838 · Answer 10 · 2026-04-15 18:06:06

838

Views

Finding formula that solves $w^4+x^4=y^4+z^4$ over the integers.

Published on 15 Apr 2026 - 18:06

score 200 · Answer 11 · 2026-04-14 11:14:43

200

Views

Combinatorial Invariant Problem Solving Question

Published on 14 Apr 2026 - 11:14

score 758 · Answer 12 · 2026-04-17 02:34:28

758

Views

Calculating number of pages when number per page is not equal for all pages

Published on 17 Apr 2026 - 2:34

score 79 · Answer 13 · 2026-04-16 01:09:43

79

Views

A more elegant version of this spiral graph

Published on 16 Apr 2026 - 1:09

score 174 · Answer 14 · 2026-04-14 13:29:47

174

Views

Ex 3.1 of Baby Rudin

Published on 14 Apr 2026 - 13:29

score 59 · Answer 15 · 2026-04-23 20:09:26

59

Views

Can someone give me a place to start/hint/topic to review in order for me to answer this problem?

Published on 23 Apr 2026 - 20:09

List Question

Let $z_1,z_2$ be complex numbers with $|z_1|=|z_2|=1$. Prove that $|z_1 + 1| + |z_2 + 1| + |z_1z_2 + 1| \geq 2$

Prove existence of certain lattice points in an ellipse

Is it true that if $A$ and $B$ are nowhere dense subsets of $[0,1]$ then the Minkowski sum $A+B=\{a+b:\ a\in A, b\in B\}$ is nowhere dense in $[0,2]$?

Understanding why intersection technique for cubic works for parametrization of curve

Method of Solving Non-Linear simultaneous equations

Set Theory - I'm new at set theory and this problem I don't know how to start it please help

What is the maximum difference in time the pedestrian and the cyclist arrive to Y?

Dividing into two groups so no person has more than one enemy in their group

Rate of Change Problem

Finding formula that solves $w^4+x^4=y^4+z^4$ over the integers.

Combinatorial Invariant Problem Solving Question

Calculating number of pages when number per page is not equal for all pages

A more elegant version of this spiral graph

Ex 3.1 of Baby Rudin

Can someone give me a place to start/hint/topic to review in order for me to answer this problem?

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