Albert Einstein famously said, 
 
“You do not really understand something unless you can explain it to your grandmother” [and get her to understand it, too.]
So, I'm going to try to explain the difference between "facts" and "evidence" to see if I understand it myself.
Evidence is presented in court to determine what the facts are, i.e., evidence is presented to let a jury decide if it is "a proven fact" that the defendant committed the crime for which he/she is accused.
Another 
source expresses this differently:
 
"Fact is a truth that can 
be proven.  On the other hand evidence is something that is told by 
someone.  It has to be accepted only on belief.  There cannot be truth 
in all evidences.   This is the main difference between facts and 
evidence."
The copy of "
The People's Law Dictionary" in my personal library contains these definitions: 
FACT: n.  an actual thing or happening, which must be proved at trial by presentation of evidence and which is evaluated by the finder or fact (a jury in a jury trial, or by the judge if he/she sits without a jury). 
EVIDENCE: n.   every type of proof legally presented at trial (allowed by the judge) which is intended to convince the judge and/or jury of alleged facts material to the case.  It can include oral testimony of witnesses, including experts on technical matters, documents, public records, objects, photographs, and depositions (testimony under oath taken before the trial).  It also includes so-called "circumstantial evidence" which is intended to create belief by showing surrounding circumstances which logically lead to a conclusion of fact.
So, it is totally
 absurd to say there is "no evidence" showing that Dr. Bruce Ivins was responsible for the anthrax attacks of 2001.  In the 
Amerithrax Investigative Summary report, the Department of Justice presented 92 pages summarizing the 
evidence against Dr. Ivins.  And they released thousands of pages of supplemental information. 
A naysayer could argue that he or she does not 
accept or believe the evidence, and therefore, as far as they are concerned, it is not a 
proven fact that Dr. Ivins was the anthrax killer.  But, they cannot logically say there is "no evidence" showing Dr. Ivins was the anthrax killer.
In court the prosecutor would 
present the evidence that Dr. Ivins had means, motive and opportunity to commit the crime.  The prosecutor would establish "as a fact" that Ivins had means, motive and opportunity.  And the prosecutor would ask the jury to conclude and confirm the fact that Ivins was the anthrax killer.
On the Internet, an Anthrax Truther can present "evidence" showing that his or her favorite suspect was actually the real anthrax killer.
However, as it says above (and below), 
"There cannot be truth 
in all evidences.   This is the main difference between facts and 
evidence."
One Anthrax Truther on this blog presents "
evidence" arguing that "linguistics" within the anthrax documents show that his unnamed "suspect" is the anthrax killer.  He indicates that 
someday he 
may present "evidence" showing that his "suspect" had means, motive and opportunity.  But, for now, all he is willing to discuss is the "linguistics" in the documents.  As I see it, his linguistics "evidence" is easily challenged and disputed, so there is no "truth" in his "evidence."  It's something only he sees.
Another Anthrax Truther 
argues that a 2003 news report saying that Adnan el-Shukrijumah had gone to the United States via Mexico is "evidence" that el-Shukrijumah mailed the anthrax letters.  As further "evidence," he cites 
another news story which said el-Shukrijumah entered the U.S. "some time after September 1, 2001" as evidence that el-Shukrijumah was in New Jersey in September and October of 2001 mailing the anthrax letters.   As I see it, his "evidence" is so vague and lacking in detail that is no way to find any "truth" in his "evidence."  "The truth" is something only he sees in his "evidence."
The Department of Justice's case against Dr. Ivins, on the other hand, provides excellent evidence which shows that Ivins had means, motive and opportunity to commit the crime, plus they can have FBI agents testify that all other likely suspects can be eliminated for lack of means, motive and/or opportunity.
Unlike the two Anthrax Truthers mentioned above, the DOJ can show solid evidence to establish 
as a fact that Ivins had the 
means to commit the crime.   The DOJ can present scientists who can explain that they personally created powders 
identical to the attack powders using the same equipment Ivins had available in his lab.  The DOJ can also show that Ivins had the 
opportunity to commit the crime.  To establish that as a fact, they can present documents, time logs and testimony showing that Ivins had no alibi for the times when the mailings were done.  And the DOJ can show that Dr. Ivins had 
motive for committing the crime:  Though his emails and the testimony of witnesses, they can establish as a fact that:  (1) Dr. Ivins’s life’s work appeared destined for failure, absent an unexpected event.  (2) Dr. Ivins was being subjected to increasing public criticism for his work.  (3)  Dr. Ivins was feeling abandoned in his personal life.  A jury could reasonably conclude that Ivins expected the anthrax mailings to make him and his work 
important again.
The jury would watch and listen to the evidence being presented.  They would then listen and watch the defense present evidence for their side of the argument.  When done, the jury would decide, based upon all the evidence presented to them, if the case against Dr. Ivins was proven or not proven.  If they decided it was proven, it would become a "fact" that Dr. Ivins was the anthrax killer.
Others can disagree with the "fact" that Ivins did it, but their disagreements would be of no value unless and until they could somehow present 
better evidence showing someone else did it.
That's my explanation of the difference between "facts" and "evidence."
Below are some sources I used in writing the comment above. 
---------------------------------------- 
Facts and evidence are two words that are often used incorrectly. 
Even though they are often used interchangeably, they have entirely 
different meanings. A fact is something that can be proven but evidence 
is something that someone tells you or objects that can point to the 
facts. Evidence can be accepted only as a belief that something is a 
fact and in all cases this is not true.
There are two types of evidence – 
factual evidence and documented evidence. 
 In a trial, the court always relies on the documented evidence because 
facts are needed to prove that it is not true.
However, it is very easy 
to damage or destroy evidence. Therefore there is not a lot of strength 
in evidence and it is difficult to authenticate it. In contrast to 
evidence, a fact can be proven by any means and this is one of the main 
differences between the two words.
A 
fact cannot be destroyed or damaged. This is true of 
scientific facts that have been proven by multiple experiments. No 
matter how much you change the variables, the conclusion is fact. Facts 
are based on evidence, but 
evidence does not necessarily have 
to be true. It is also considered to be a reality about which a large 
number of people agree. Facts cannot be disputed.
Information that proves to be helpful in forming a conclusion is 
termed evidence, but it has to be either true or false. Evidence can be 
disputed, which is why it is presented in court. The lawyers for both 
sides present arguments and witnesses to prove or disprove the evidence 
that has been collected for the case.
It is the evidence that starts an investigation and fact develops from the conclusion of the investigation.
Click 
HERE for the source.
------------------------------------- 
Facts and Evidence are two legal terms 
that are used with difference.  They are generally understood as one and
 the same thing to an untrained litigant, but strictly speaking they are
 different.
Fact is a truth that can 
be proven.  On the other hand evidence is something that is told by 
someone.  It has to be accepted only on belief.  There cannot be truth 
in all evidences.  This is the main difference between facts and 
evidence.
Evidence is generally of 
two types, namely, documental evidence and factual evidence.  The 
decision of the court is always based on documental evidence.  You need 
to have factual evidence to disprove it.
On
 the main difference between facts and evidence is that evidence can be 
easily destroyed.  This is because of the fact that evidence lacks 
strength and cannot be proved authentically.  On the other hand a fact 
can be proved by all means.  In fact the proven status has made the fact
 different from evidence.
On the 
other hand a fact cannot be destroyed at all for that matter.  
Scientific facts are all proved and hence can never be destroyed by any 
means.  This is mainly due to the fact that fact is characterized by 
truth whereas evidence is characterized by falsehood.
Evidence
 is information helpful in forming judgment or a conclusion.  Remember 
it is only information that can be either true or false.  On the other 
hand a fact is a fundamental reality that has been agreed upon by a 
substantial strength of people.
Another
 important difference between facts and evidence is that facts cannot be
 disputed.  On the other hand evidence can be disputed in the court.  It
 all depends on the skill of the lawyer to dispute the evidence produced
 in the court.  Fact is arrived at after investigation or experiment.  
Evidence begins an investigation.
Click 
HERE for the source. 
 
--------------------------------------------------------
Click 
HERE for the source.  
 
Ed