[TRTLLM-9085][doc] fix math formula rendering issues

docs/source/commands/trtllm-serve/run-benchmark-with-trtllm-serve.md

@@ -161,34 +161,36 @@ P99 E2EL (ms):                           1643.44
 
 For a single request, ITLs are the time intervals between tokens, while TPOT is the average of those intervals:
 
-```math
-\text{TPOT (1\ request)} = \text{Avg(ITL)} = \frac{\text{E2E\ latency} - \text{TTFT}}{\text{\#Output\ Tokens} - 1}
-```
+$$
+\text{TPOT (1 request)} = \text{Avg(ITL)} = \frac{\text{E2E latency} - \text{TTFT}}{\text{#Output Tokens} - 1}
+$$
 
 Across different requests, **average TPOT** is the mean of each request's TPOT (all requests weighted equally), while **average ITL** is token-weighted (all tokens weighted equally):
 
-```math
+$$
 \text{Avg TPOT (N requests)} = \frac{\text{TPOT}_1 + \text{TPOT}_2 + \cdots + \text{TPOT}_N}{N}
-```
+$$
 
-```math
-\text{Avg ITL (N requests)} = \frac{\text{Sum of all ITLs across requests}}{\text{\#Output Tokens across requests}}
-```
+$$
+\text{Avg ITL (N requests)} = \frac{\text{Sum of all ITLs across requests}}{\text{#Output Tokens across requests}}
+$$
 
 #### End-to-End (E2E) Latency
   * The typical total time from when a request is submitted until the final token of the response is received.
 
 #### Total Token Throughput
   * The combined rate at which the system processes both input (prompt) tokens and output (generated) tokens.
-```math
-\text{Total\ TPS} = \frac{\text{\#Input\ Tokens}+\text{\#Output\ Tokens}}{T_{last} - T_{first}}
-```
+
+$$
+\text{Total TPS} = \frac{\text{#Input Tokens}+\text{#Output Tokens}}{T_{last} - T_{first}}
+$$
 
 #### Tokens Per Second (TPS) or Output Token Throughput
   * how many output tokens the system generates each second.
-```math
-\text{TPS} = \frac{\text{\#Output\ Tokens}}{T_{last} - T_{first}}
-```
+
+$$
+\text{TPS} = \frac{\text{#Output Tokens}}{T_{last} - T_{first}}
+$$
 
 ### Request Time Breakdown
 

docs/source/deployment-guide/deployment-guide-for-deepseek-r1-on-trtllm.md

@@ -399,31 +399,33 @@ P99 E2EL (ms):                            [result]
 
 For a single request, ITLs are the time intervals between tokens, while TPOT is the average of those intervals:
 
-```math
-\text{TPOT (1\ request)} = \text{Avg(ITL)} = \frac{\text{E2E\ latency} - \text{TTFT}}{\text{\#Output\ Tokens} - 1}
-```
+$$
+\text{TPOT (1 request)} = \text{Avg(ITL)} = \frac{\text{E2E latency} - \text{TTFT}}{\text{#Output Tokens} - 1}
+$$
 
 Across different requests, **average TPOT** is the mean of each request's TPOT (all requests weighted equally), while **average ITL** is token-weighted (all tokens weighted equally):
 
-```math
+$$
 \text{Avg TPOT (N requests)} = \frac{\text{TPOT}_1 + \text{TPOT}_2 + \cdots + \text{TPOT}_N}{N}
-```
+$$
 
-```math
-\text{Avg ITL (N requests)} = \frac{\text{Sum of all ITLs across requests}}{\text{\#Output Tokens across requests}}
-```
+$$
+\text{Avg ITL (N requests)} = \frac{\text{Sum of all ITLs across requests}}{\text{#Output Tokens across requests}}
+$$
 
 #### End-to-End (E2E) Latency
   * The typical total time from when a request is submitted until the final token of the response is received.
 
 #### Total Token Throughput
   * The combined rate at which the system processes both input (prompt) tokens and output (generated) tokens.
-```math
-\text{Total\ TPS} = \frac{\text{\#Input\ Tokens}+\text{\#Output\ Tokens}}{T_{last} - T_{first}}
-```
+
+$$
+\text{Total TPS} = \frac{\text{#Input Tokens}+\text{#Output Tokens}}{T_{last} - T_{first}}
+$$
 
 #### Tokens Per Second (TPS) or Output Token Throughput
   * how many output tokens the system generates each second.
-```math
-\text{TPS} = \frac{\text{\#Output\ Tokens}}{T_{last} - T_{first}}
-```
+
+$$
+\text{TPS} = \frac{\text{#Output Tokens}}{T_{last} - T_{first}}
+$$

docs/source/deployment-guide/deployment-guide-for-gpt-oss-on-trtllm.md

@@ -349,31 +349,33 @@ P99 E2EL (ms):                            [result]
 
 For a single request, ITLs are the time intervals between tokens, while TPOT is the average of those intervals:
 
-```math
-\text{TPOT (1\ request)} = \text{Avg(ITL)} = \frac{\text{E2E\ latency} - \text{TTFT}}{\text{\#Output\ Tokens} - 1}
-```
+$$
+\text{TPOT (1 request)} = \text{Avg(ITL)} = \frac{\text{E2E latency} - \text{TTFT}}{\text{#Output Tokens} - 1}
+$$
 
 Across different requests, **average TPOT** is the mean of each request's TPOT (all requests weighted equally), while **average ITL** is token-weighted (all tokens weighted equally):
 
-```math
+$$
 \text{Avg TPOT (N requests)} = \frac{\text{TPOT}_1 + \text{TPOT}_2 + \cdots + \text{TPOT}_N}{N}
-```
+$$
 
-```math
-\text{Avg ITL (N requests)} = \frac{\text{Sum of all ITLs across requests}}{\text{\#Output Tokens across requests}}
-```
+$$
+\text{Avg ITL (N requests)} = \frac{\text{Sum of all ITLs across requests}}{\text{#Output Tokens across requests}}
+$$
 
 #### End-to-End (E2E) Latency
   * The typical total time from when a request is submitted until the final token of the response is received.
 
 #### Total Token Throughput
   * The combined rate at which the system processes both input (prompt) tokens and output (generated) tokens.
-```math
-\text{Total\ TPS} = \frac{\text{\#Input\ Tokens}+\text{\#Output\ Tokens}}{T_{last} - T_{first}}
-```
+
+$$
+\text{Total TPS} = \frac{\text{#Input Tokens}+\text{#Output Tokens}}{T_{last} - T_{first}}
+$$
 
 #### Tokens Per Second (TPS) or Output Token Throughput
   * how many output tokens the system generates each second.
-```math
-\text{TPS} = \frac{\text{\#Output\ Tokens}}{T_{last} - T_{first}}
-```
+
+$$
+\text{TPS} = \frac{\text{#Output Tokens}}{T_{last} - T_{first}}
+$$

docs/source/deployment-guide/deployment-guide-for-llama3.3-70b-on-trtllm.md

@@ -354,31 +354,33 @@ P99 E2EL (ms):                            [result]
 
 For a single request, ITLs are the time intervals between tokens, while TPOT is the average of those intervals:
 
-```math
-\text{TPOT (1\ request)} = \text{Avg(ITL)} = \frac{\text{E2E\ latency} - \text{TTFT}}{\text{\#Output\ Tokens} - 1}
-```
+$$
+\text{TPOT (1 request)} = \text{Avg(ITL)} = \frac{\text{E2E latency} - \text{TTFT}}{\text{#Output Tokens} - 1}
+$$
 
 Across different requests, **average TPOT** is the mean of each request's TPOT (all requests weighted equally), while **average ITL** is token-weighted (all tokens weighted equally):
 
-```math
+$$
 \text{Avg TPOT (N requests)} = \frac{\text{TPOT}_1 + \text{TPOT}_2 + \cdots + \text{TPOT}_N}{N}
-```
+$$
 
-```math
-\text{Avg ITL (N requests)} = \frac{\text{Sum of all ITLs across requests}}{\text{\#Output Tokens across requests}}
-```
+$$
+\text{Avg ITL (N requests)} = \frac{\text{Sum of all ITLs across requests}}{\text{#Output Tokens across requests}}
+$$
 
 #### End-to-End (E2E) Latency
   * The typical total time from when a request is submitted until the final token of the response is received.
 
 #### Total Token Throughput
   * The combined rate at which the system processes both input (prompt) tokens and output (generated) tokens.
-```math
-\text{Total\ TPS} = \frac{\text{\#Input\ Tokens}+\text{\#Output\ Tokens}}{T_{last} - T_{first}}
-```
+
+$$
+\text{Total TPS} = \frac{\text{#Input Tokens}+\text{#Output Tokens}}{T_{last} - T_{first}}
+$$
 
 #### Tokens Per Second (TPS) or Output Token Throughput
   * how many output tokens the system generates each second.
-```math
-\text{TPS} = \frac{\text{\#Output\ Tokens}}{T_{last} - T_{first}}
-```
+
+$$
+\text{TPS} = \frac{\text{#Output Tokens}}{T_{last} - T_{first}}
+$$

docs/source/deployment-guide/deployment-guide-for-llama4-scout-on-trtllm.md

@@ -346,31 +346,33 @@ P99 E2EL (ms):                            [result]
 
 For a single request, ITLs are the time intervals between tokens, while TPOT is the average of those intervals:
 
-```math
-\text{TPOT (1\ request)} = \text{Avg(ITL)} = \frac{\text{E2E\ latency} - \text{TTFT}}{\text{\#Output\ Tokens} - 1}
-```
+$$
+\text{TPOT (1 request)} = \text{Avg(ITL)} = \frac{\text{E2E latency} - \text{TTFT}}{\text{#Output Tokens} - 1}
+$$
 
 Across different requests, **average TPOT** is the mean of each request's TPOT (all requests weighted equally), while **average ITL** is token-weighted (all tokens weighted equally):
 
-```math
+$$
 \text{Avg TPOT (N requests)} = \frac{\text{TPOT}_1 + \text{TPOT}_2 + \cdots + \text{TPOT}_N}{N}
-```
+$$
 
-```math
-\text{Avg ITL (N requests)} = \frac{\text{Sum of all ITLs across requests}}{\text{\#Output Tokens across requests}}
-```
+$$
+\text{Avg ITL (N requests)} = \frac{\text{Sum of all ITLs across requests}}{\text{#Output Tokens across requests}}
+$$
 
 #### End-to-End (E2E) Latency
   * The typical total time from when a request is submitted until the final token of the response is received.
 
 #### Total Token Throughput
   * The combined rate at which the system processes both input (prompt) tokens and output (generated) tokens.
-```math
-\text{Total\ TPS} = \frac{\text{\#Input\ Tokens}+\text{\#Output\ Tokens}}{T_{last} - T_{first}}
-```
+
+$$
+\text{Total TPS} = \frac{\text{#Input Tokens}+\text{#Output Tokens}}{T_{last} - T_{first}}
+$$
 
 #### Tokens Per Second (TPS) or Output Token Throughput
   * how many output tokens the system generates each second.
-```math
-\text{TPS} = \frac{\text{\#Output\ Tokens}}{T_{last} - T_{first}}
-```
+
+$$
+\text{TPS} = \frac{\text{#Output Tokens}}{T_{last} - T_{first}}
+$$