Simulated with $10,000 starting capital
Period: 1M 3M 6M YTD 1Y 2Y

Data Transparency (Last 6 Months)

Hybrid data: Polygon.io (historical) + Yahoo/Alpaca (live) - verifiable market data
Data Source
Polygon + Yahoo + Alpaca
Candles in Period
12,336
Timeframe
5-Minute Bars
Period Range
2025-08-14 → 2026-02-13
Trading Days
137 days
Data Gaps
None (5 market holidays)

Market Closed (5 days)

2025-09-01 — Labor Day, 2025-11-27 — Thanksgiving, 2025-12-25 — Christmas Day, 2026-01-01 — New Year's Day, 2026-01-19 — MLK Jr. Day
Brokerage: Alpaca Markets

✓ Tradeable on Alpaca
Stocks: Commission-free • Market hours: 9:30 AM - 4:00 PM ET

To execute these strategies, you'll need an Alpaca brokerage account.

Performance Summary (Last 6 Months)

Period Start Capital
$11,083.19
Current Value
$12,385.36
Period P&L
$1,302.14
Max Drawdown
-16.9%
Sharpe Ratio
0.08

Trade Statistics (Last 6 Months)

Trades in Period
79
Winners / Losers
45 / 34
Best Trade
+13.56%
Worst Trade
-4.09%
Avg Trade Return
+0.17%
Avg Hold Time
6h

💰 Trading Cost Analysis (Alpaca Fees) (Last 6 Months)

Asset Type
📈 Stock
Fee Rate
FREE
Total Volume
$1,680,127.15
Estimated Fees
$0.00
Gross P&L
$1,302.14
Net P&L (after fees)
$1,302.14
Gross Return
+11.75%
Net Return (after fees)
+11.75%

✅ Stocks: Alpaca offers commission-free stock trading. No fees on this symbol!
Actual fees may vary based on your volume tier. See Alpaca pricing.

Equity Curve — Your Money Over Time

Each dot is a completed trade. Green = profitable trade, Red = losing trade. Hover for details.

The dashed blue line shows your starting $10,000. Points above = profit, points below = loss.

🖱️ Scroll to zoom • Click & drag to pan • Double-click to reset

Price Action + Equity Overlay

📈 NET Price (left axis) vs 📊 Your Equity (right axis). See how the stock price moved while you held positions.

🖱️ Scroll to zoom • Click & drag to pan • Double-click to reset
📊 Price data: 137 trading days 🎯 Trade markers show BUY (▲) and SELL (▼) points

Trade History (Last 6 Months - 79 trades)

How to Read This Table

Each row is one complete trade cycle (BUY → HOLD → SELL). Professor Mean had $11,083.19 at period start. When he sees a buy signal, he uses all available cash to buy shares. He holds until hitting his +5% target, -10% stop loss, or 30-day limit. After selling, the profit/loss is added to his balance, and the next trade uses that new balance.

# Action Date & Time Price/Share Shares Total Value Balance After Result Exit Reason
1 🟢 BUY Aug 15, 2025 2:35pm ET $201.28 55 $11,070.40
🔴 SELL Aug 15, 2025 3:20pm ET $201.77 55 $11,097.35 $11,110.16 +$26.95
(+0.2%)
MEAN_REVERSION
48m held
2 🟢 BUY Aug 19, 2025 9:30am ET $201.77 55 $11,097.35
🔴 SELL Aug 19, 2025 9:40am ET $199.75 55 $10,986.25 $10,999.06 $-111.10
(-1.0%)
🛑 -10% Stop
12m held
3 🟢 BUY Aug 20, 2025 9:40am ET $192.49 57 $10,971.93
🔴 SELL Aug 20, 2025 9:45am ET $189.79 57 $10,817.75 $10,844.87 $-154.19
(-1.4%)
🛑 -10% Stop
6m held
4 🟢 BUY Aug 21, 2025 11:50am ET $191.74 56 $10,737.16
🔴 SELL Aug 21, 2025 1:45pm ET $191.79 56 $10,740.24 $10,847.95 +$3.08
(+0.0%)
MEAN_REVERSION
1.9h held
5 🟢 BUY Aug 25, 2025 9:45am ET $194.50 55 $10,697.50
🔴 SELL Aug 25, 2025 10:00am ET $196.41 55 $10,802.55 $10,953.00 +$105.05
(+1.0%)
MEAN_REVERSION
18m held
6 🟢 BUY Aug 26, 2025 11:30am ET $198.32 55 $10,907.60
🔴 SELL Aug 26, 2025 12:15pm ET $199.63 55 $10,979.65 $11,025.05 +$72.05
(+0.7%)
MEAN_REVERSION
48m held
7 🟢 BUY Aug 27, 2025 12:15pm ET $204.38 53 $10,832.23
🔴 SELL Aug 27, 2025 12:20pm ET $203.48 53 $10,784.44 $10,977.26 $-47.79
(-0.4%)
🛑 -10% Stop
6m held
8 🟢 BUY Aug 28, 2025 3:25pm ET $213.73 51 $10,900.23
🔴 SELL Aug 29, 2025 11:15am ET $208.27 51 $10,621.77 $10,698.80 $-278.46
(-2.5%)
MEAN_REVERSION
19.8h held
9 🟢 BUY Sep 3, 2025 9:35am ET $206.00 51 $10,506.00
🔴 SELL Sep 3, 2025 10:35am ET $206.35 51 $10,523.85 $10,716.65 +$17.85
(+0.2%)
MEAN_REVERSION
1h held
10 🟢 BUY Sep 4, 2025 3:20pm ET $209.79 51 $10,699.29
🔴 SELL Sep 5, 2025 9:30am ET $212.96 51 $10,860.96 $10,878.32 +$161.67
(+1.5%)
MEAN_REVERSION
18.2h held
11 🟢 BUY Sep 8, 2025 3:15pm ET $218.75 49 $10,718.75
🔴 SELL Sep 9, 2025 10:55am ET $216.97 49 $10,631.53 $10,791.10 $-87.22
(-0.8%)
MEAN_REVERSION
19.7h held
12 🟢 BUY Sep 10, 2025 11:55am ET $221.54 48 $10,633.92
🔴 SELL Sep 10, 2025 12:30pm ET $222.18 48 $10,664.64 $10,821.82 +$30.72
(+0.3%)
MEAN_REVERSION
36m held
13 🟢 BUY Sep 11, 2025 12:35pm ET $227.34 47 $10,684.75
🔴 SELL Sep 11, 2025 1:30pm ET $228.10 47 $10,720.70 $10,857.78 +$35.95
(+0.3%)
MEAN_REVERSION
54m held
14 🟢 BUY Sep 15, 2025 9:30am ET $221.14 49 $10,835.62
🔴 SELL Sep 15, 2025 9:35am ET $222.26 49 $10,890.74 $10,912.90 +$55.13
(+0.5%)
MEAN_REVERSION
6m held
15 🟢 BUY Sep 16, 2025 9:35am ET $223.00 48 $10,704.00
🔴 SELL Sep 16, 2025 10:55am ET $223.62 48 $10,733.76 $10,942.66 +$29.76
(+0.3%)
MEAN_REVERSION
1.3h held
16 🟢 BUY Sep 17, 2025 11:50am ET $210.90 51 $10,755.90
🔴 SELL Sep 17, 2025 12:55pm ET $211.60 51 $10,791.60 $10,978.36 +$35.70
(+0.3%)
MEAN_REVERSION
1.1h held
17 🟢 BUY Sep 22, 2025 9:30am ET $223.69 49 $10,960.81
🔴 SELL Sep 22, 2025 9:35am ET $222.96 49 $10,925.04 $10,942.59 $-35.77
(-0.3%)
🛑 -10% Stop
6m held
18 🟢 BUY Sep 23, 2025 9:35am ET $225.87 48 $10,841.58
🔴 SELL Sep 23, 2025 9:45am ET $222.25 48 $10,668.00 $10,769.01 $-173.58
(-1.6%)
🛑 -10% Stop
12m held
19 🟢 BUY Sep 24, 2025 9:45am ET $219.57 49 $10,758.93
🔴 SELL Sep 24, 2025 11:15am ET $220.68 49 $10,813.32 $10,823.40 +$54.39
(+0.5%)
MEAN_REVERSION
1.5h held
20 🟢 BUY Sep 25, 2025 12:45pm ET $216.74 49 $10,620.26
🔴 SELL Sep 25, 2025 2:10pm ET $216.78 49 $10,622.22 $10,825.36 +$1.96
(+0.0%)
MEAN_REVERSION
1.4h held
21 🟢 BUY Sep 30, 2025 9:30am ET $217.04 49 $10,634.72
🔴 SELL Sep 30, 2025 9:50am ET $214.80 49 $10,525.20 $10,715.84 $-109.51
(-1.0%)
🛑 -10% Stop
18m held
22 🟢 BUY Oct 1, 2025 10:40am ET $212.84 50 $10,642.00
🔴 SELL Oct 1, 2025 11:00am ET $213.75 50 $10,687.50 $10,761.34 +$45.50
(+0.4%)
MEAN_REVERSION
18m held
23 🟢 BUY Oct 3, 2025 9:50am ET $220.77 48 $10,597.09
🔴 SELL Oct 3, 2025 11:30am ET $218.64 48 $10,494.72 $10,658.97 $-102.37
(-1.0%)
MEAN_REVERSION
1.7h held
24 🟢 BUY Oct 6, 2025 2:00pm ET $222.38 47 $10,451.86
🔴 SELL Oct 7, 2025 9:30am ET $217.50 47 $10,222.50 $10,429.61 $-229.36
(-2.2%)
🛑 -10% Stop
19.5h held
25 🟢 BUY Oct 8, 2025 1:40pm ET $218.25 47 $10,257.75
🔴 SELL Oct 8, 2025 2:10pm ET $219.51 47 $10,316.97 $10,488.83 +$59.22
(+0.6%)
MEAN_REVERSION
30m held
26 🟢 BUY Oct 10, 2025 11:00am ET $220.62 47 $10,368.91
🔴 SELL Oct 10, 2025 12:20pm ET $220.16 47 $10,347.52 $10,467.45 $-21.39
(-0.2%)
MEAN_REVERSION
1.3h held
27 🟢 BUY Oct 14, 2025 9:30am ET $214.49 48 $10,295.28
🔴 SELL Oct 14, 2025 9:35am ET $213.58 48 $10,251.60 $10,423.77 $-43.68
(-0.4%)
🛑 -10% Stop
6m held
28 🟢 BUY Oct 15, 2025 11:50am ET $221.62 47 $10,416.14
🔴 SELL Oct 15, 2025 12:05pm ET $224.12 47 $10,533.64 $10,541.27 +$117.50
(+1.1%)
MEAN_REVERSION
18m held
29 🟢 BUY Oct 16, 2025 3:15pm ET $211.00 49 $10,339.00
🔴 SELL Oct 16, 2025 3:50pm ET $211.96 49 $10,386.04 $10,588.31 +$47.04
(+0.5%)
MEAN_REVERSION
36m held
30 🟢 BUY Oct 20, 2025 12:35pm ET $210.50 50 $10,525.00
🔴 SELL Oct 20, 2025 1:00pm ET $211.23 50 $10,561.50 $10,624.81 +$36.50
(+0.3%)
MEAN_REVERSION
24m held
31 🟢 BUY Oct 22, 2025 9:30am ET $211.00 50 $10,550.00
🔴 SELL Oct 22, 2025 9:40am ET $213.65 50 $10,682.50 $10,757.31 +$132.50
(+1.3%)
MEAN_REVERSION
12m held
32 🟢 BUY Oct 24, 2025 2:20pm ET $219.51 49 $10,755.99
🔴 SELL Oct 27, 2025 9:30am ET $219.76 49 $10,768.00 $10,769.31 +$12.01
(+0.1%)
MEAN_REVERSION
2.8d held
33 🟢 BUY Oct 28, 2025 11:10am ET $225.31 47 $10,589.34
🔴 SELL Oct 28, 2025 11:40am ET $226.34 47 $10,637.75 $10,817.72 +$48.41
(+0.5%)
MEAN_REVERSION
30m held
34 🟢 BUY Oct 29, 2025 1:05pm ET $225.50 47 $10,598.50
🔴 SELL Oct 29, 2025 1:40pm ET $226.56 47 $10,648.09 $10,867.31 +$49.59
(+0.5%)
MEAN_REVERSION
36m held
35 🟢 BUY Oct 30, 2025 2:15pm ET $228.31 47 $10,730.34
🔴 SELL Oct 31, 2025 9:30am ET $241.38 47 $11,344.86 $11,481.83 +$614.52
(+5.7%)
MEAN_REVERSION
19.3h held
36 🟢 BUY Nov 3, 2025 10:30am ET $249.42 46 $11,473.09
🔴 SELL Nov 3, 2025 12:30pm ET $249.46 46 $11,475.16 $11,483.90 +$2.07
(+0.0%)
MEAN_REVERSION
2h held
37 🟢 BUY Nov 4, 2025 1:20pm ET $235.48 48 $11,303.04
🔴 SELL Nov 4, 2025 3:15pm ET $234.26 48 $11,244.24 $11,425.10 $-58.80
(-0.5%)
MEAN_REVERSION
1.9h held
38 🟢 BUY Nov 5, 2025 3:15pm ET $229.65 49 $11,252.85
🔴 SELL Nov 6, 2025 9:30am ET $230.30 49 $11,284.46 $11,456.71 +$31.60
(+0.3%)
MEAN_REVERSION
18.3h held
39 🟢 BUY Nov 7, 2025 9:30am ET $223.03 51 $11,374.61
🔴 SELL Nov 7, 2025 9:35am ET $218.83 51 $11,160.33 $11,242.43 $-214.28
(-1.9%)
🛑 -10% Stop
6m held
40 🟢 BUY Nov 10, 2025 3:15pm ET $242.42 46 $11,151.32
🔴 SELL Nov 10, 2025 3:35pm ET $240.89 46 $11,080.94 $11,172.05 $-70.38
(-0.6%)
🛑 -10% Stop
18m held
41 🟢 BUY Nov 11, 2025 3:35pm ET $235.49 47 $11,067.80
🔴 SELL Nov 12, 2025 1:00pm ET $225.86 47 $10,615.42 $10,719.68 $-452.38
(-4.1%)
MEAN_REVERSION
21.4h held
42 🟢 BUY Nov 13, 2025 1:00pm ET $215.32 49 $10,550.44
🔴 SELL Nov 13, 2025 2:25pm ET $214.79 49 $10,524.47 $10,693.70 $-25.97
(-0.2%)
MEAN_REVERSION
1.4h held
43 🟢 BUY Nov 14, 2025 3:40pm ET $211.06 50 $10,553.00
🔴 SELL Nov 17, 2025 9:30am ET $206.40 50 $10,320.00 $10,460.70 $-233.00
(-2.2%)
🛑 -10% Stop
2.7d held
44 🟢 BUY Nov 18, 2025 9:30am ET $196.29 53 $10,403.38
🔴 SELL Nov 18, 2025 10:50am ET $196.86 53 $10,433.33 $10,490.65 +$29.94
(+0.3%)
MEAN_REVERSION
1.3h held
45 🟢 BUY Nov 19, 2025 1:40pm ET $193.83 54 $10,466.82
🔴 SELL Nov 19, 2025 2:10pm ET $195.26 54 $10,544.04 $10,567.87 +$77.22
(+0.7%)
MEAN_REVERSION
30m held
46 🟢 BUY Nov 20, 2025 3:35pm ET $190.69 55 $10,487.95
🔴 SELL Nov 21, 2025 11:20am ET $185.99 55 $10,229.45 $10,309.37 $-258.50
(-2.5%)
MEAN_REVERSION
19.8h held
47 🟢 BUY Nov 24, 2025 1:15pm ET $192.30 53 $10,191.90
🔴 SELL Nov 24, 2025 2:05pm ET $192.82 53 $10,219.46 $10,336.93 +$27.56
(+0.3%)
MEAN_REVERSION
48m held
48 🟢 BUY Nov 26, 2025 11:55am ET $196.90 52 $10,238.80
🔴 SELL Nov 26, 2025 12:35pm ET $198.06 52 $10,298.86 $10,396.99 +$60.06
(+0.6%)
MEAN_REVERSION
42m held
49 🟢 BUY Dec 1, 2025 9:30am ET $196.00 53 $10,388.00
🔴 SELL Dec 1, 2025 9:35am ET $195.73 53 $10,373.43 $10,382.41 $-14.58
(-0.1%)
🛑 -10% Stop
6m held
50 🟢 BUY Dec 2, 2025 11:25am ET $201.75 51 $10,289.25
🔴 SELL Dec 2, 2025 12:00pm ET $204.15 51 $10,411.40 $10,504.56 +$122.15
(+1.2%)
MEAN_REVERSION
36m held
51 🟢 BUY Dec 4, 2025 9:30am ET $202.25 51 $10,314.75
🔴 SELL Dec 4, 2025 9:35am ET $200.75 51 $10,238.25 $10,428.06 $-76.50
(-0.7%)
🛑 -10% Stop
6m held
52 🟢 BUY Dec 5, 2025 9:35am ET $202.42 51 $10,323.28
🔴 SELL Dec 5, 2025 10:15am ET $204.06 51 $10,407.06 $10,511.84 +$83.78
(+0.8%)
MEAN_REVERSION
42m held
53 🟢 BUY Dec 9, 2025 9:30am ET $204.49 51 $10,428.99
🔴 SELL Dec 9, 2025 10:00am ET $206.02 51 $10,507.02 $10,589.87 +$78.03
(+0.8%)
MEAN_REVERSION
30m held
54 🟢 BUY Dec 11, 2025 9:30am ET $210.64 50 $10,532.00
🔴 SELL Dec 11, 2025 11:45am ET $206.39 50 $10,319.50 $10,377.37 $-212.50
(-2.0%)
MEAN_REVERSION
2.3h held
55 🟢 BUY Dec 15, 2025 9:40am ET $201.51 51 $10,277.01
🔴 SELL Dec 15, 2025 9:45am ET $199.78 51 $10,188.78 $10,289.14 $-88.23
(-0.9%)
🛑 -10% Stop
6m held
56 🟢 BUY Dec 16, 2025 12:25pm ET $196.21 52 $10,202.92
🔴 SELL Dec 16, 2025 1:30pm ET $196.18 52 $10,201.36 $10,287.58 $-1.56
(-0.0%)
MEAN_REVERSION
1.1h held
57 🟢 BUY Dec 17, 2025 1:30pm ET $193.19 53 $10,239.07
🔴 SELL Dec 17, 2025 2:40pm ET $193.29 53 $10,244.11 $10,292.62 +$5.03
(+0.1%)
MEAN_REVERSION
1.2h held
58 🟢 BUY Dec 19, 2025 3:00pm ET $195.83 52 $10,183.16
🔴 SELL Dec 19, 2025 3:20pm ET $196.80 52 $10,233.60 $10,343.06 +$50.44
(+0.5%)
MEAN_REVERSION
18m held
59 🟢 BUY Dec 23, 2025 9:30am ET $200.77 51 $10,239.27
🔴 SELL Dec 23, 2025 9:35am ET $199.75 51 $10,187.25 $10,291.04 $-52.02
(-0.5%)
🛑 -10% Stop
6m held
60 🟢 BUY Dec 24, 2025 9:35am ET $199.80 51 $10,189.80
🔴 SELL Dec 24, 2025 10:05am ET $202.00 51 $10,302.00 $10,403.24 +$112.20
(+1.1%)
MEAN_REVERSION
30m held
61 🟢 BUY Dec 26, 2025 3:30pm ET $202.21 51 $10,312.71
🔴 SELL Dec 29, 2025 9:30am ET $200.83 51 $10,242.08 $10,332.60 $-70.64
(-0.7%)
🛑 -10% Stop
2.8d held
62 🟢 BUY Dec 30, 2025 9:30am ET $200.11 51 $10,205.61
🔴 SELL Dec 30, 2025 10:55am ET $200.70 51 $10,235.70 $10,362.69 +$30.09
(+0.3%)
MEAN_REVERSION
1.4h held
63 🟢 BUY Dec 31, 2025 11:05am ET $198.81 52 $10,338.12
🔴 SELL Dec 31, 2025 12:10pm ET $199.84 52 $10,391.68 $10,416.25 +$53.56
(+0.5%)
MEAN_REVERSION
1.1h held
64 🟢 BUY Jan 5, 2026 2:25pm ET $198.90 52 $10,342.80
🔴 SELL Jan 5, 2026 3:00pm ET $199.18 52 $10,357.36 $10,430.81 +$14.56
(+0.1%)
MEAN_REVERSION
36m held
65 🟢 BUY Jan 7, 2026 2:05pm ET $203.32 51 $10,369.32
🔴 SELL Jan 7, 2026 3:50pm ET $203.12 51 $10,359.12 $10,420.61 $-10.20
(-0.1%)
MEAN_REVERSION
1.8h held
66 🟢 BUY Jan 9, 2026 9:45am ET $185.34 56 $10,379.04
🔴 SELL Jan 9, 2026 11:05am ET $185.35 56 $10,379.60 $10,421.17 +$0.56
(+0.0%)
MEAN_REVERSION
1.3h held
67 🟢 BUY Jan 14, 2026 9:35am ET $187.23 55 $10,297.38
🔴 SELL Jan 14, 2026 9:45am ET $189.02 55 $10,396.10 $10,519.90 +$98.73
(+1.0%)
MEAN_REVERSION
12m held
68 🟢 BUY Jan 15, 2026 2:20pm ET $186.34 56 $10,435.04
🔴 SELL Jan 16, 2026 9:40am ET $181.55 56 $10,166.92 $10,251.77 $-268.12
(-2.6%)
🛑 -10% Stop
19.3h held
69 🟢 BUY Jan 20, 2026 9:40am ET $180.79 56 $10,123.96
🔴 SELL Jan 20, 2026 10:40am ET $182.12 56 $10,198.44 $10,326.25 +$74.48
(+0.7%)
MEAN_REVERSION
1h held
70 🟢 BUY Jan 21, 2026 11:30am ET $175.50 58 $10,179.00
🔴 SELL Jan 21, 2026 11:35am ET $174.01 58 $10,092.29 $10,239.54 $-86.71
(-0.8%)
🛑 -10% Stop
6m held
71 🟢 BUY Jan 23, 2026 12:40pm ET $175.55 58 $10,181.61
🔴 SELL Jan 23, 2026 12:50pm ET $174.32 58 $10,110.56 $10,168.49 $-71.05
(-0.7%)
🛑 -10% Stop
12m held
72 🟢 BUY Jan 26, 2026 3:50pm ET $189.65 53 $10,051.45
🔴 SELL Jan 27, 2026 9:30am ET $215.36 53 $11,414.08 $11,531.12 +$1,362.63
(+13.6%)
MEAN_REVERSION
17.7h held
73 🟢 BUY Jan 28, 2026 9:30am ET $203.60 56 $11,401.60
🔴 SELL Jan 28, 2026 9:35am ET $198.62 56 $11,122.72 $11,252.24 $-278.88
(-2.5%)
🛑 -10% Stop
6m held
74 🟢 BUY Jan 29, 2026 9:35am ET $179.96 62 $11,157.52
🔴 SELL Jan 29, 2026 10:50am ET $178.99 62 $11,097.38 $11,192.10 $-60.14
(-0.5%)
MEAN_REVERSION
1.3h held
75 🟢 BUY Jan 30, 2026 12:05pm ET $177.51 63 $11,183.13
🔴 SELL Jan 30, 2026 12:25pm ET $178.56 63 $11,249.28 $11,258.25 +$66.15
(+0.6%)
MEAN_REVERSION
18m held
76 🟢 BUY Feb 2, 2026 2:25pm ET $182.59 61 $11,137.99
🔴 SELL Feb 2, 2026 3:55pm ET $182.54 61 $11,134.94 $11,255.20 $-3.05
(-0.0%)
MEAN_REVERSION
1.5h held
77 🟢 BUY Feb 5, 2026 1:10pm ET $165.84 67 $11,111.28
🔴 SELL Feb 6, 2026 9:30am ET $165.75 67 $11,105.25 $11,249.17 $-6.03
(-0.1%)
MEAN_REVERSION
20.3h held
78 🟢 BUY Feb 9, 2026 12:20pm ET $172.49 65 $11,212.17
🔴 SELL Feb 9, 2026 12:45pm ET $174.16 65 $11,320.40 $11,357.40 +$108.23
(+1.0%)
MEAN_REVERSION
24m held
79 🟢 BUY Feb 10, 2026 3:55pm ET $180.39 62 $11,184.18
🔴 SELL Feb 11, 2026 9:30am ET $196.97 62 $12,212.14 $12,385.36 +$1,027.96
(+9.2%)
MEAN_REVERSION
17.6h held
Started with: $10,000.00
Total Invested: $10,000.00
Ended with: $12,385.36
Net Profit/Loss: +$2,385.36
Total Return: +23.85%
Back to Professor Mean