Complex Sequences & Series
ASO Keyword Dashboard
Tracking 95 keywords for Complex Sequences & Series in Google Play
Complex Sequences & Series tracks 95 keywords (1 keyword ranks; 94 need traction). Key metrics: 0% top-10 coverage, opportunity 70.6, difficulty 44.7, best rank 12.
Investigate real and complex valued sequences, recurrence relations and series.
Tracked keywords
95
1 ranked • 94 not ranking yet
Top 10 coverage
0%
Best rank 12 • Latest leader —
Avg opportunity
70.6
Top keyword: bit
Avg difficulty
44.7
Lower scores indicate easier wins
Opportunity leaders
- 62.6
bit
Opportunity: 74.0 • Difficulty: 43.2 • Rank —
Competitors: 747
- 60.7
define
Opportunity: 74.0 • Difficulty: 38.0 • Rank —
Competitors: 291
- 63.9
fascinating
Opportunity: 74.0 • Difficulty: 41.9 • Rank —
Competitors: 624
- 66.0
least
Opportunity: 74.0 • Difficulty: 44.9 • Rank —
Competitors: 977
- 63.1
clearly
Opportunity: 74.0 • Difficulty: 39.5 • Rank —
Competitors: 313
Unranked opportunities
bit
Opportunity: 74.0 • Difficulty: 43.2 • Competitors: 747
define
Opportunity: 74.0 • Difficulty: 38.0 • Competitors: 291
fascinating
Opportunity: 74.0 • Difficulty: 41.9 • Competitors: 624
least
Opportunity: 74.0 • Difficulty: 44.9 • Competitors: 977
clearly
Opportunity: 74.0 • Difficulty: 39.5 • Competitors: 313
High competition keywords
time
Total apps: 392,076 • Major competitors: 18,171
Latest rank: — • Difficulty: 57.9
make
Total apps: 331,214 • Major competitors: 20,580
Latest rank: — • Difficulty: 57.9
help
Total apps: 275,882 • Major competitors: 15,400
Latest rank: — • Difficulty: 58.5
enjoy
Total apps: 272,382 • Major competitors: 19,761
Latest rank: — • Difficulty: 57.4
using
Total apps: 225,139 • Major competitors: 12,393
Latest rank: — • Difficulty: 57.0
All tracked keywords
Includes opportunity, difficulty, rankings and competitor benchmarks
| Major Competitors | |||||||
|---|---|---|---|---|---|---|---|
| complex | 71 | 100 | 47 | 72 31,452 competing apps Median installs: 1,380 Avg rating: 2.4 | 12 | 12 | 1,321 major competitor apps |
| change | 68 | 100 | 52 | 79 89,161 competing apps Median installs: 4,942 Avg rating: 2.6 | — | — | 6,309 major competitor apps |
| enjoy | 65 | 100 | 57 | 87 272,382 competing apps Median installs: 3,488 Avg rating: 2.6 | — | — | 19,761 major competitor apps |
| make | 65 | 100 | 58 | 88 331,214 competing apps Median installs: 2,457 Avg rating: 2.5 | — | — | 20,580 major competitor apps |
| step | 69 | 100 | 51 | 78 80,944 competing apps Median installs: 1,416 Avg rating: 2.4 | — | — | 3,991 major competitor apps |
| learn | 67 | 100 | 55 | 82 140,493 competing apps Median installs: 2,321 Avg rating: 2.5 | — | — | 7,039 major competitor apps |
| used | 68 | 100 | 55 | 81 117,424 competing apps Median installs: 3,080 Avg rating: 2.4 | — | — | 5,254 major competitor apps |
| everything | 68 | 100 | 52 | 79 94,834 competing apps Median installs: 1,358 Avg rating: 2.4 | — | — | 4,633 major competitor apps |
| using | 66 | 100 | 57 | 85 225,139 competing apps Median installs: 2,824 Avg rating: 2.5 | — | — | 12,393 major competitor apps |
| hope | 71 | 100 | 44 | 71 29,653 competing apps Median installs: 3,490 Avg rating: 2.4 | — | — | 1,093 major competitor apps |
| time | 64 | 100 | 58 | 89 392,076 competing apps Median installs: 1,395 Avg rating: 2.4 | — | — | 18,171 major competitor apps |
| provide | 67 | 100 | 52 | 82 138,223 competing apps Median installs: 1,592 Avg rating: 2.2 | — | — | 5,056 major competitor apps |
| help | 65 | 100 | 58 | 87 275,882 competing apps Median installs: 2,049 Avg rating: 2.5 | — | — | 15,400 major competitor apps |
| launch | 73 | 100 | 47 | 67 15,864 competing apps Median installs: 3,767 Avg rating: 2.7 | — | — | 1,118 major competitor apps |
| understanding | 71 | 100 | 44 | 72 33,239 competing apps Median installs: 1,256 Avg rating: 2.2 | — | — | 723 major competitor apps |
| series | 72 | 100 | 48 | 70 26,003 competing apps Median installs: 6,176 Avg rating: 2.6 | — | — | 1,939 major competitor apps |
| valued | 72 | 100 | 34 | 55 2,787 competing apps Median installs: 680 Avg rating: 2.6 | — | — | 55 major competitor apps |
| area | 71 | 100 | 48 | 72 32,515 competing apps Median installs: 1,650 Avg rating: 2.4 | — | — | 1,428 major competitor apps |
| tool | 68 | 100 | 50 | 80 99,190 competing apps Median installs: 1,342 Avg rating: 2.4 | — | — | 4,032 major competitor apps |
| visual | 71 | 100 | 48 | 74 41,423 competing apps Median installs: 1,778 Avg rating: 2.6 | — | — | 2,218 major competitor apps |
| real | 67 | 100 | 57 | 83 167,338 competing apps Median installs: 2,890 Avg rating: 2.6 | — | — | 12,824 major competitor apps |
| see | 67 | 100 | 58 | 83 167,102 competing apps Median installs: 1,944 Avg rating: 2.5 | — | — | 8,400 major competitor apps |
| powerful | 68 | 100 | 55 | 80 99,383 competing apps Median installs: 2,934 Avg rating: 2.7 | — | — | 7,662 major competitor apps |
| work | 68 | 100 | 55 | 81 119,624 competing apps Median installs: 1,912 Avg rating: 2.4 | — | — | 5,239 major competitor apps |
| know | 67 | 100 | 54 | 81 127,317 competing apps Median installs: 2,290 Avg rating: 2.5 | — | — | 5,999 major competitor apps |
App Description
Investigate real and complex valued sequences, recurrence relations and series.
You can define constants and expressions using a rich set of mathematical functions and then step through a sequence to help you understand its long-term behaviour. For instance, you may already know that a series converges to a particular value, but this application will allow you to actually see the convergence happening, one step at a time.
Real and complex plots provide visual feedback as you step through a sequence. The real plot can display either Re(z), Im(z), Mod(z), Arg(z), Re(sum), Im(sum), Mod(sum) or Arg(sum). The complex plot can display either sequence values or partial sums. You can change the plot modes at any point in a sequence, allowing you to clearly see how the values are changing over time. The plots make this application an invaluable tool for understanding the long-term behaviour of sequences and series.
The powerful complex number expression evaluator means the application can also be used as a general purpose, albeit somewhat unconventional, calculator.
Everything you enter on up to 10 worksheets is automatically saved as you go along, so everything looks exactly the same next time you launch the application. This means you can define up to 10 different sequences and then recall them for class demonstrations or discussions.
Finally, you are not left alone to figure out how the application works. There is a brief user guide, help with expressions and a couple of detailed examples you can work through.
We hope you enjoy using this application and learn at least a little bit more about this fascinating area of mathematics.
